If 12 apples are used for every 7 pounds of dough, how many apples are needed if we have 115 pounds of dough?

Answers

Answer 1

Hello !

Answer:

198 apples

Step-by-step explanation:

12 apples <=> 7 pounds of dough

x apples <=> 115 pounds of dough

Let's use a cross product :

[tex]x = \frac{12 \times 115}{7} \approx197.14 [/tex]

198 apples are needed.

Have a nice day


Related Questions

Give the parametric form of the circle x² + y² = 25
x(t) =
y(t) =

Answers

The parametric form of the circle x² + y² = 25 is:x(t) = 5 cos(t)y(t) = 5 sin(t)

This is an exercise in parametric equations, which are a way of representing a curve or surface on the plane or in space using arbitrary values or a constant called a parameter instead of using an independent variable. In the case of circles, the points (x,y) can be expressed from a single variable θ, which is called a parameter. The parametric equations of a circle with radius r ≥ 0 and center (h,k) are given by x = h + rcosθ y = k + rsinθ, where 0 < θ < 2π. The parametric equation of a circle can be expressed from the angle θ of the point through the circle with respect to the x-coordinate axis. The parametric equations of the conics, including the circumference, can be deparameterized to obtain the canonical equation.

The parametric equation of a circle can be expressed from the angle θ of the point through the circle with respect to the x-coordinate axis. The angle can be expressed in radians (θ∈[0,2π]) or sexagesimal degrees (θ∈[0º,360º]). The parametric equation of a circle with center C=(-1,3) and radius r=2 cm is defined by x = -1 + 2cosθ and y = 3 + 2sinθ.

The parametric equations of a curve are expressed from the variable (or parameter) t, such that x = x(t) and y = y(t). Each value of t determines a point (x,y) in the plane. The parametric equations of a circle with radius r ≥ 0 and center (h,k) are given by x = h + rcosθ y = k + rsinθ, where 0 < θ < 2π. The parametric equation of a circle centered at the origin and with radius r is x² + y² = r².

The parametric equations for a curve are not unique. They represent the same circle with center at (0,0) and radius R. The parametric equations of the conics, including the circumference, can be deparameterized to obtain the canonical equation. To go from the parametric to the Cartesian equations, the parameter t must be eliminated. The parametric equations of a point on a circle of radius r at an angle θ are x = rcos(θ) and y = rsin(θ).

To get this parametric form of x² + y² = 25, we can use the trigonometric identities:

cos²(t) + sin²(t) = 1

Multiplying both sides by 25, we get:

25 cos²(t) + 25 sin²(t) = 25

Which is equivalent to:

x² + y² = 25

Therefore, we can write:

x(t) = 5 cos(t), y(t) = 5 sin(t)

The parametric form of the circle x² + y² = 25 is:x(t) = 5 cos(t)y(t) = 5 sin(t)

This means that for every value of t in the interval 0≤t≤2π, we can get a point on the circle.

Graphic attached

51. Trail running is one of the few outdoor sports that has been consistently increasing over the past few years. The number of people participating in trail running (in millions) from the years 2013 to 2018 is given by the equation y = 0.6x + 5.0, where x is the number of years after 2010.
a. use this equation to complete the ordered pair (7, )

b.write a sentence explaining the meaning of the answer to part a

c. if this trend continues, how many trail runners will there be in 2025? graph it​

Answers

a. To find the number of people participating in trail running in millions in the year 2017, we can plug in x=7 into the equation y=0.6x+5.0. This gives us y=0.6(7)+5.0=8.2. Therefore, the ordered pair is (7, 8.2).

b. The answer to part a means that in the year 2017, there were 8.2 million people participating in trail running.

c. To find the number of trail runners in the year 2025, we need to plug in x=15 into the equation y=0.6x+5.0. This gives us y=0.6(15)+5.0=14.0. Therefore, if the trend continues, there will be 14 million people participating in trail running in the year 2025.

To graph this equation, we can plot the ordered pairs (0, 5.0), (1, 5.6), (2, 6.2), (3, 6.8), (4, 7.4), (5, 8.0), and (7, 8.2) on a coordinate plane. We can then connect the points with a straight line to show the trend.

Calculate: (a) the combined total of all items purchased, (b) total tax rate and (c) sales tax for the
items.
11. Andy Owens purchased a bicycle for $259.99 and a helmet for $62.99. The state sales tax rate is
8.25%, the local tax is 2.25%.

Answers

Answer:

356.89$

Step-by-step explanation:

259.9 + 62.99 = 322.98, 8.25% + 2.25 = 10.5 tax rate... So 322.98 + 10.5% = 356.89$

A water bottle is 3/4 full. Half of the water is drained. Now, 6 ounces of water remain in the bottle. What is the capacity of the bottle?

Answers

The capacity of the bottle is 16 ounces

Calculating the capacity of the bottle?

From the question, we have the following parameters that can be used in our computation:

A water bottle is 3/4 full.

When half of the water is drained, we have

Remainder = 1/2 * 3/4x

Evaluate

Remainder = 3/8x

Where x is the capacity of the bottle

We understand that 6 ounces of water remain in the bottle.

This means that

3/8x = 6

So, we have

x = 8 * 6/3

Evaluate

x = 16

Hence. the capacity of the bottle is 16 ounces

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Snow-House sells a $1,248 snow thrower on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $116 each. What is the total cost of the snow thrower on the installment plan?

Answers

The total cost of the snow thrower on the installment plan is $1,641.60.

To find the total cost of the snow thrower on the installment plan, we will first calculate the down payment and then add the total monthly payments. Here's the step-by-step explanation:
1. Calculate the down payment:
Down payment = 20% of the original price
Down payment = 0.20 * $1,248
Down payment = $249.60
2. Calculate the total of the 12 monthly payments:
Total monthly payments = 12 * $116
Total monthly payments = $1,392
3. Calculate the total cost on the installment plan:
Total cost = Down payment + Total monthly payments
Total cost = $249.60 + $1,392
Total cost = $1,641.60
So, the total cost of the snow thrower on the installment plan is $1,641.60.

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More than two-thirds of undergraduate students who graduated with a bachelor's degree had student loan debt. The average student loan debt among these graduating seniors was $28,654. The average interest rate on student loans was 6.1%. How much interest did a student with $28,654 in student loan debt pay in the first year? Round to the nearest cent.

Answers

The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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Which measurement is equal to 2 1 2 gallons?

Answers

The Equivalent measurements of a given quantity can be useful in a variety of situations, such as when you need to convert between different units of volume

2 1/2 gallons is equal to various measurements depending on the context, but here are a few common conversions:

- 10 pints: There are 2 pints in a quart, and 4 quarts in a gallon, so 2 1/2 gallons would be 2 x 4 + 2 = 10 pints.

- 20 cups: There are 2 cups in a pint, 2 pints in a quart, and 4 quarts in a gallon, so 2 1/2 gallons would be 2 x 4 x 2 + 2 = 20 cups.

- 640 fluid ounces: There are 8 fluid ounces in a cup, 2 cups in a pint, 2 pints in a quart, and 4 quarts in a gallon, so 2 1/2 gallons would be 4 x 2 x 2 x 8 x 2.5 = 640 fluid ounces.

Knowing the equivalent measurements of a given quantity can be useful in a variety of situations, such as when you need to convert between different units of volume, or when you need to mix ingredients in a recipe.

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How do I solve this step by step?
9-5(x+4) = 12(x+1)

Answers

Answer:

9 - 5 (x + 4) = 12 (x + 1)

-5x - 11 = 12x + 12

-5x - 11 + 11 = 12x + 12 + 11

-5x = 12x + 23

-5x - 12x = 12x + 23 - 12x

x = -23/17

Answer:

x=−23/17

Step-by-step explanation:

Distribute: 9-5(x+4) = 12(x+1)

= 9+−5x+−20=12x+12

Combine like term 9&-220:

−5x+−11=12x+12

Subtract 12x:

−5x−11−12x=12x+12−12x

=−17x−11=12

Add 11:

−17x−11+11=12+11

=−17x=23

Divide by -17:

−17x/-17=23/-17

x=−23/17

.

please help i been stuck on it forever i dont understand it at allll

Answers

The answer is B. An input can only match to one output in order for it to be a function.

The table below shows the amount of time Varghese, Youfang, Waverley, and Kimora spent running during their first of training for a half marathon. For which runner is there a proportional relationship between the of training and the amount of time spent running?
A. Wlaverey
B. Youfang
C. Varghese
D. Kimora

Answers

The runner for which there is a proportional relationship between the of training and the amount of time spent running is given as follows:

D. Waverley.

What is a proportional relationship?

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

Waverley is the only runner for which the situation is modeled by a proportional relationship, as for each input, the output is 30 times the input.

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Immediate help would be much appreciated.

Two parallel lines are cut by a transversal.
If the measure of 4 is 110 degrees, what is the measure of 5?

Answers

The measure of 5 is 110°.

Given, Lines n and p are parallel to each other and have transversal t.

To find: The value of angle 5.

Therefore, the sum of these angles will be 180

Angle 4 = angle 5

Now, they are alternate interior angles.

Therefore,

angle 5 = 110

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Sam theows a ball up into the air and watches it come down. The equation for the height, h, in relation to time,t , is h=5f^2+25t. What is the range for height of the ball

Answers

Answer:

h = 5t²+ 25t

from projectiles

h = u²sin²∆ / 2g

taking the angle to be ∆

and range is u²sin2∆/g

Therefore integrate the equation h= 5t²+25t

R = 5t³/3 + 25t²/2 + t

What are the equivalent fractions for the following number? Show all your work.​

Answers

The equivalent value of the fraction is A = 533 / 99

Given data ,

To find equivalent fractions for the repeating decimal 5.38383838..., we can use the concept of converting a repeating decimal to a fraction.

Let's denote the repeating decimal as x: x = 5.38383838...

Step 1:

Multiply x by a power of 10 to eliminate the repeating part.

100x = 538.38383838...

Step 2:

Subtract x from the product obtained in Step 1 to eliminate the repeating part.

100x - x = 538.38383838... - 5.38383838...

99x = 533

Step 3:

Solve for x by dividing both sides by 99.

x = 533 / 99

Hence , the fraction is A = 533 / 99

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Solve the following inequality, indicate the number of solutions and plot the solutions on a number line.
d. 3(x + 3) + 12 ≤ 3x + 28

Answers

Let's start by simplifying the left side of the inequality:

3(x+3) + 12 <= 3x + 28

3x + 9 + 12 <= 3x + 28

3x + 21 <= 3x + 28

Subtracting 3x from both sides, we get:

21 <= 28

This is a true statement, which means that the inequality is true for all values of x. In other words, there are infinitely many solutions.

To represent this graphically, we can draw a number line and shade in all values of x for which the inequality is true. Since it's true for all values of x, we shade in the entire number line:

<=======()------------------->

In this number line, the open circle () indicates that the inequality is not true for that particular value (in this case, there is no specific value for x that makes the inequality false). The arrow indicates that the inequality is true for all values of x to the left and right of the open circle.

In summary, the inequality 3(x+3)+12 <= 3x+28 is true for all values of x, and there are infinitely many solutions.

I'm 15 BTW

ASAP!!!!!!!!!! Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. How many faces does a polyhedron with 5 vertices and 8 edges have?

A. 7
B. 6
C. 4
D. 5



(55 points to who gets it first)

Answers

Answer:

5

Step-by-step explanation:

v - e + f =2

5 - 8 + f = 2

f = 2 - 5 + 8

= 5

Using Euler's formula, V – E + F = 2, we can find the number of faces F a polyhedron with 5 vertices and 8 edges has.

Substituting V = 5 and E = 8 into the formula gives:

5 - 8 + F = 2

Simplifying gives:

F = 5

Therefore, the polyhedron has 5 faces.

The answer is D.

What is an equation of the line that passes through
the points (4, -3) and (2, 0)?

Answers

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{0}-\stackrel{y1}{(-3)}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{4}}} \implies \cfrac{0 +3}{-2} \implies \cfrac{ 3 }{ -2 } \implies - \cfrac{3}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{- \cfrac{3}{2}}(x-\stackrel{x_1}{4}) \implies y +3 = - \cfrac{3}{2} ( x -4) \\\\\\ y+3=- \cfrac{3}{2}x+6\implies {\Large \begin{array}{llll} y=- \cfrac{3}{2}x+3 \end{array}}[/tex]

Answer:

y = -1.5x + 3

Step-by-step explanation:

gradient = (-3 - 0) / (4 - 2) = -3/2 = -1.5.

equation on line through two points is given by

y - y1 = m (x - x1)

where y1 and x1 are the coordinates of the point and m is the gradient.

we can choose either point to use in the equation.

y - 0 = -1.5 (x - 2) = -1.5x + 3

y = -1.5x + 3

A car travels 37 km in 22 minutes. What is its average speed in km/h? Give your answer rounded to 1 decimal place.​

Answers

Answer:

100.9 km/h

Step-by-step explanation:

We use the fraction

37 km      =    x km

22 min        60min

when we cross multiply, we get

2220=22x, which gives us

x=100.909090...

but since we're rounding, we simply give the answer

100.9 km/h

You're filling prescriptions in a pharmacy. Your work surface tray gives you an area of 240 square inches to work. If the length is 24 inches, what is the width of the tray?​

Answers

To find the width, we can use the formula for the area of a rectangle: Area = Length × Width We can rearrange the formula to solve for the width: Width = Area ÷ Length Now, we can plug in the values we know: Width = 432 square inches ÷ 24 inches Width = 18 inches So, the width of the tray is 18 inches.

The hypotenuse of a right triangle is 10 units, and one of the acute angles is 40°. To the nearest tenth, what are the lengths of the legs?

Answers

The lengths of the legs are 7.7 units and 6.4 units

How to determine the value

To determine the lengths of the legs of the triangle, we have that;

We need to know the different trigonometric identities. These identities are expressed as;

sinecosinetangentcotangentsecantcosecant

From the information given, we have that;

Using the sine identity;

sin θ = opposite/hypotenuse

Substitute the values

sin 40 = x/10

cross multiply the values, we get;

x = 6. 4 units

Using the cosine identity;

cos 40 = y/10

y = 7. 7 units

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The length of the other two legs are 6.4 and 7.6

What is trigonometric ratio?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

Since the hypotenuse is 10, we are going to find the other legs of the right triangle using the trig functions.

sin40 = opp/hyp

0.643 = opp/10

opp = 0.643 × 10

opp = 6.4

Cos 40 = adj/hyp

0.766 = adj/10

adj = 0.766 × 10

adj = 7.6

Therefore the length of other two legs are 6.4 and 7.6

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Simplify-15(y^2)^4/ -5y^3y^2
•3y^2
•3y^3
•3y
•-3y^3

Answers

Answer:

It is 3y^3.

Step-by-step explanation:

We can simplify the expression as follows:

-15(y^2)^4/(-5y^3y^2)

= -15y^8/(-5y^5)

= 3y^3

So, the simplified expression is 3y^3.

please help with this​

Answers

The range of the equation y = |x| is

∞ > x ≥ 0

How to determine the range

The absolute value function x returns the distance between x and 0 on the number line regardless of the sign of x

Plotting a graph of y = | x| also have it that the smallest possible value of |x| is 0 which occurs when x = 0

for any other value of x, the unction y = |x | will be positive

hence we can say that the range of |x| is [0, ∞).

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What is the best name for the figure with the following coordinates?
(4, 1), (1, 1), (3,-2), and (0, -2)
A. rectangle
B. square
C. trapezoid
D. parallelogram
Please select the best answer from the choices provided
OA
OB

Answers

Answer: D. Parallelogram

Step-by-step explanation: Step 1. Input all the points on a graph, there's not really much to it, sorry if I didn't help but the answer is D

A country has 4 states. Their populations are listed below. If the country's legislature has 102 representatives, determine how many representatives should be assigned to each state using Hamilton's, Jefferson's and Webster's methods.

Answers

To fairly apportion the 102 representatives among the 4 states using Hamilton's, Jefferson's, and Webster's methods, we need to first calculate the priority values for each method.

Here are the populations of the 4 states:

- State A: 10,000,000
- State B: 8,000,000
- State C: 5,000,000
- State D: 3,000,000

Hamilton's method:

- Step 1: Calculate the total population of all 4 states.
Total population = 10,000,000 + 8,000,000 + 5,000,000 + 3,000,000 = 26,000,000
- Step 2: Divide the total number of representatives by the total population.
Priority value = 102 / 26,000,000 = 0.00392307692
- Step 3: Multiply the priority value by each state's population to get its number of representatives.
State A: 10,000,000 * 0.00392307692 = 39.2307692 representatives (rounded to 39)
State B: 8,000,000 * 0.00392307692 = 31.3846154 representatives (rounded to 31)
State C: 5,000,000 * 0.00392307692 = 19.6153846 representatives (rounded to 20)
State D: 3,000,000 * 0.00392307692 = 11.7692308 representatives (rounded to 12)

Jefferson's method:

- Step 1: Divide the total number of representatives by 2.
Half of the representatives = 102 / 2 = 51
- Step 2:
- State A: sqrt(10,000,000) = 3,162.27766
- State B: sqrt(8,000,000) = 2,828.42712
- State C: sqrt(5,000,000) = 2,236.06798
- State D: sqrt(3,000,000) = 1,732.05081
- Step 3: Divide each state's result from step 2 by the sum of all states' results from step 2 and multiply the result by the total number of representatives.
State A: (3,162.27766 / (3,162.27766 + 2,828.42712 + 2,236.06798 + 1,732.05081)) * 102 = 39 representatives (rounded to 39)
State B: (2,828.42712 / (3,162.27766 + 2,828.42712 + 2,236.06798 + 1,732.05081)) * 102 = 35 representatives (rounded to 35)
State C: (2,236.06798 / (3,162.27766 + 2,828.42712 + 2,236.06798 + 1,732.05081)) * 102 = 22 representatives (rounded to 22)
State D: (1,732.05081 / (3,162.27766 + 2,828.42712 + 2,236.06798 + 1,732.05081)) * 102 = 6 representatives (rounded to 6)

Webster's method:

- Step 1: Calculate the average population of the 4 states.
Average population = (10,000,000 + 8,000,000 + 5,000,000 + 3,000,000) / 4 = 6,500,000
- Step 2: Calculate each state's excess population by subtracting the average population from its population.
State A's excess population = 10,000,000 - 6,500,000 = 3,500,000
State B's excess population = 8,000,000 - 6,500,000 = 1,500,000
State C's excess population = 5,000,000 - 6,500,000 = -1,500,000
State D's excess population = 3,000,000 - 6,500,000 = -3,500,000
- Step 3: Calculate each state's modified excess population by taking the square root of its absolute excess population.
State A's modified excess population = sqrt(3,500,000) = 1,870.82869
State B's modified excess population = sqrt(1,500,000) = 1,224.74487
State C's modified excess population = sqrt(1,500,000) = 1,224.74487
State D's modified excess population = sqrt(3,500,000) = 1,870.82869
- Step 4: Calculate each state's priority value by dividing its modified excess population by the sum of all states' modified excess populations and multiplying the result by the total number of representatives.
State A's priority value = (1,870.82869 / (1,870.82869 + 1,224.74487 + 1,224.74487 + 1,870.82869)) * 102 = 38 representatives (rounded to 38)
State B's priority value = (1,224.74487 / (1,870.82869 + 1,224.74487 + 1,224.74487 + 1,870.82869)) * 102 = 25 representatives (rounded to 25)
State C's priority value = (1,224.74487 / (1,870.82869 + 1,224.74487 + 1,224.74487 + 1,870.82869)) * 102 = 25 representatives (rounded to 25)
State D's priority value = (1,870.82869 / (1,870.82869 + 1,224.74487 + 1,224.74487 + 1,870.82869)) * 102 = 14 representatives (rounded to 14)

Therefore, using Hamilton's method, State A gets 39 representatives, State B gets 31 representatives, State C gets 20 representatives, and State D gets 12 representatives. Using Jefferson's method, State A gets 39 representatives, State B gets 35 representatives, State C gets 22 representatives, and State D gets 6 representatives. Finally, using Webster's method, State A gets 38 representatives, State B gets 25 representatives, State C gets 25 representatives, and State D gets 14 representatives.

Rewrite the integrand in terms of u so that the integral
f(u)

Answers

a. In the integrand ∫[x/(6x² + 5)²]dx, we make the substitution u =  (6x² + 5)

b. Writing the integrand ∫[x/(6x² + 5)²]dx in the form ∫f(u)du, f(u) = u²/12

What is integration?

Integration is the reverse of differentiation

a. Since we want to find the substitution in order to evaluate the following integrand ∫[x/(6x² + 5)²]dx, we proceed as follows

In the integrand ∫[x/(6x² + 5)²]dx, we see that the other function is the polynomial in the denominator which is (6x² + 5). So, we make the substitution u =  (6x² + 5)

b. To rewrite the integrand in terms of u so that ∫[x/(6x² + 5)²]dx is int he form ∫f(u)du, we proceed as  follows

Since  integrand ∫[x/(6x² + 5)²]dx and u = 6x² + 5. Differentiation u with respect to x, we have that

du/dx = d(6x² + 5)/dx

= d(6x²)/dx + d5/dx

= 12x + 0

= 12x

So, du/dx = 12x

xdx = du/12

So, substituting this into the integrand, we have that

∫[x/(6x² + 5)²]dx = ∫[x/u²]dx

= ∫[xdx/u²]

= ∫[du/12/u²]

=  ∫[du/12u²]  

So, comparing  ∫[f(u)du]  = ∫[du/12u²]  

So, f(u) = u²/12

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Answer:

[tex]f(u)=\dfrac{1}{12u^5}[/tex]

Step-by-step explanation:

Integration by substitution is a technique used to simplify the integration of complex functions. It involves writing part of the function in terms of a new variable u, where u is some function of x.

Given integral:

[tex]\displaystyle \int \dfrac{x}{(6x^2+5)^5}\; \text{d}x[/tex]

Substitute u for 6x² + 5.

Differentiate u with respect to x and rearrange the equation to isolate dx:

[tex]\dfrac{\text{d}u}{\text{d}x}=12x \implies \text{d}x=\dfrac{1}{12x}\; \text{d}u[/tex]

Substitute the expressions for u and dx into the original expression to rewrite the original integral in terms of u and du:

[tex]\begin{aligned}\displaystyle \int \dfrac{x}{(6x^2+5)^5}\; \text{d}x &= \int \dfrac{x}{u^5} \cdot \dfrac{1}{12x}\; \text{d}u\\\\&= \int \dfrac{1}{12u^5}\; \text{d}u\\\\\end{aligned}[/tex]

Therefore:

[tex]f(u)=\dfrac{1}{12u^5}[/tex]

What influenced Denis to write the first non-objective statement? (You must use one quote from his article the Definition of Neotraditionism)

What factors led Kandinsky to arrive at non-objective painting? (You must give at least one quote from Concerning the Spiritual in Art, and list the page number.

What did Kandinsky write about color? (You must give at least one quote from Concerning the Spiritual in Art - Part II. About Painting, VI: The Language of Form and Color and give the page number.)

Answers

Denis was  told  to write the first non-objective statement by the arising trend of Neotraditionism.            

As he explains in his composition" The description of Neotraditionism,"" The  thing of Neotraditionism is to make  commodity new that isn't a  dupe, nor a simple extension, nor a parody of the old"( Denis, 1911). He believed that this movement  needed a new language of art, one that wasn't tied to emblematic  forms.

Kandinsky's  appearance atnon-objective  oil was  told  by his spiritual beliefs and his desire to express the inner nature of  effects. As he writes in Concerning the Spiritual in Art," The artist must have  commodity to say, for mastery over form isn't his  thing but rather the adapting of form to its inner meaning"( Kandinsky, 1977,p. 10). He believed that art should be a spiritual expression and that the inner world of the artist should be  restated into visual language.  

Kandinsky wrote  considerably about color in Concerning the Spiritual in Art. He believed that color had its own language and could convey  feelings and ideas. As he writes," Color is a means of  plying direct influence upon the soul. Color is the keyboard. The eye is the hammer. The soul is the piano, with its  numerous strings"( Kandinsky, 1977,p. 43). He believed that colors could be arranged in a way that would produce a symphony of  feelings in the bystander.

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select the correct button in the table to show wether each pair of angles is alternate interior,corresponding or same-side exterior angles

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The correct relationship between the angles are:

(1) Corresponding angles(2) Alternate interior angles(3) Corresponding angles(4) Corresponding angles(5) Alternate exterior angles(6) Alternate exterior angles

Selecting the correct relationship between the angles

From the question, we have the following parameters that can be used in our computation:

The figures (see attachment)

Using the figures and the definition of angle relationships, we have the relationships of the angles to be:

(1) Corresponding angles(2) Alternate interior angles(3) Corresponding angles(4) Corresponding angles(5) Alternate exterior angles(6) Alternate exterior angles

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A university class has 27 students: 13 are history majors, 8 are accounting majors, and 6 are art majors. (Each student has only one of these majors.) The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is an accounting major and the second student is an art major?

Answers

Answer:

8/27

Step-by-step explanation:

There are a total of 27 students in the class, and 8 of them are accounting majors. Therefore, the probability of the first student selected being an accounting major is 8/27.

After the first student is selected, there will be 26 students remaining, out of which 6 are art majors. Therefore, the probability of the second student selected being an art major, given that the first student was an accounting major, is 6/26.

To find the probability of both events occurring together, we need to multiply the individual probabilities:

P(accounting major first) * P(art major second | accounting major first)

= (8/27) * (6/26)

= 48/702

= 8/117

Qasim spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The plane maintains a constant altitude of 7200 feet. Qasim initially measures an angle of elevation of 16 ∘ ∘ to the plane at point � A. At some later time, he measures an angle of elevation of 38 ∘ ∘ to the plane at point � B. Find the distance the plane traveled from point � A to point � B. Round your answer to the nearest foot if necessary.

Answers

The plane traveled approximately 15,806 feet from point A to point B.

How to solve for the distance

tan(angle) = opposite side / adjacent side

Let x be the horizontal distance from Qasim to point A and y be the horizontal distance from Qasim to point B. Then:

tan(16°) = 7200 / x

tan(38°) = 7200 / y

We can solve for x and y:

x = 7200 / tan(16°)

y = 7200 / tan(38°)

Now, we can calculate x and y:

x ≈ 7200 / 0.2878

= 25016.6 feet

y = 7200 / 0.7813

= 9210.7 feet

Finally, to find the distance the plane traveled from point A to point B, we take the difference between y and x:

distance = y - x

= 9210.7 - 25016.6

= -15805.9 feet

we take the absolute value:

distance = 15806 feet (rounded to the nearest foot)

approximately 15,806 feet from point A to point B.

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A rectangular pyramid has a base that is 14 yards long and 14 yards wide. The pyramid's slant height is 12 yards. What is its surface area?

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The surface area of the rectangular pyramid is approximately 387.6 square yards.

To find the surface area of a rectangular pyramid, we need to find the area of the base and the area of the four triangular faces.

The area of the base is:

Area of base = length x width

Area of base = 14 yards x 14 yards

Area of base = 196 square yards

To find the area of the four triangular faces, we need to first find the height of each triangle using the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the sum of the squares of the legs (the two shorter sides) is equal to the square of the hypotenuse (the longest side).

In this case, the hypotenuse is the slant height of the pyramid, which is 12 yards. The legs are half the length and width of the base, which are both 7 yards.

So we have:

h² + 7² = 12²

h² + 49 = 144

h² = 95

h = √95

Now we can find the area of each triangular face using the formula:

Area of triangle = 1/2 x base x height

The base of each triangle is 14 yards, and the height is √95 yards. So we have:

Area of triangle = 1/2 x 14 yards x √95 yards

Area of triangle = 7√95 square yards

There are four triangular faces, so the total area of the four triangular faces is:

Total area of triangular faces = 4 x 7√95 square yards

Total area of triangular faces = 28√95 square yards

Finally, we can find the total surface area by adding the area of the base and the area of the four triangular faces:

Total surface area = Area of base + Total area of triangular faces

Total surface area = 196 square yards + 28√95 square yards

Total surface area ≈ 387.6 square yards (rounded to one decimal place)

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Find the distance around each figure. Use 3.14 as an approximation for π(pie)
30. The figure is made up of a rectangle and two identical semicircles.

Answers

Answer:

Step-by-step explanation:

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