Help please how do I find the exterior angles of a heptagon!!!

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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Option A is correct: the cross-section of a sphere must be a circle.

When a sphere is cut by a plane, the resulting cross-section will always be a circle, regardless of the orientation or angle of the cut. This is because all cross-sections of a sphere have the same shape and size as a great circle, which is a circle that passes through the center of the sphere and divides it into two equal halves.

Option B is not correct because an ellipse is not a possible cross-section of a sphere.

Option C is not correct because the cross-section of a sphere can only be a circle, not an ellipse.

Option D is not correct because a line is not a possible cross-section of a sphere. A line can only be a cross-section of a cylinder or a cone, but not a sphere.

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Answer: A = 470 in²

Step-by-step explanation:

          If the given prism is a rectangular prism, we can use the given formula to solve for the surface area of a rectangular prism.

A = 2((8 in)(15 in) + (5 in)(15 in) + (5 in)(8 in))

A = 2(120 in² + 75 in² + 40 in²)

A = 2(235 in²)

A = 470 in²

Answer:

5

Step-by-step explanation:

v - e + f =2

5 - 8 + f = 2

f = 2 - 5 + 8

= 5

The chances that, at least, one of the dinosaur toys in Franklin's set is a T.rex is 57%.

We can use the complement rule to find the probability that none of the dinosaur toys in Franklin's set is a T. rex, and then subtract this from 1 to get the probability that at least one of the toys is a T. rex.

The probability that a given toy is not a T. rex is 90%, or 0.9.

Since there are 8 toys in the set, the probability that none of them are T. rex is:

0.9 x 0.9 x 0.9 x 0.9 x 0.9 x 0.9 x 0.9 x 0.9 = 0.43

So the probability that at least one of the toys is a T. rex is:

1 - 0.43 = 0.57, or 57%

In other words, it is 57% likely that at least one of the dinosaur toys in Franklin's set is a T. rex.

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Answer:

Step-by-step explanation:

Answer:

p(large or green) = 0.794

Step-by-step explanation:

If a marble is randomly selected from the box, we need to find the

probability that it is small or green

1. Find P(large) ⇒ P(l)

2.Find P(green) ⇒ P(g)

3. Find P(large and green) ⇒ P(l and g)

4. Use the rule P(large or green) = P(l) + P(g) - P(l and g)

∵ The box contains 18 large marbles and 16 small marbles

∴ The total number of marbles = 18 + 16 = 34

∴ P(l) = 18/34

∵ There are 7 large green marbles

∵ There are 18 large marbles

∴ P(l and g) = 7/34

∴ P(g) = 16/34

∵ P(large or green) = P(l) + P(g) - P(l and g)

∴ P(large or green) = 18/34 + 16/34 - 7/34

∴ P(large or green) = 27/34

= 0.7941176471

If a marble is randomly selected from the box, then the probability that it is large or green is 0.794

You'll need to build Excel formulas using =SUM() function on specified cells in order to calculate total assets, total liabilities, revenue, and expenses. To calculate net income, subtract total expense from total revenue. Calculate Equity by summing common stock, retained earnings, and net income, then subtracting dividends. Finally, sum total liabilities and total equity.

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The value of y is 3 when x = 25.

When two variables, x, and y, vary inversely, it means that as one variable increases, the other decreases in a proportional manner. In other words, their product is constant.

Mathematically, this relationship can be expressed as:

y = k/x

where k is the constant of proportionality.

To solve the problem, we are given that y = 5 when x = 15, which can be rewritten as:

5 = k/15

To find the value of y when x = 25, we need to first determine the value of k. We can do this by rearranging the equation above to solve for k:

k = 5 x 15 = 75

Now that we know the constant of proportionality, we can use it to find the value of y when x = 25:

y = k/x = 75/25 = 3

Therefore, when x = 25, y = 3. This means that as x increases from 15 to 25, y decreases from 5 to 3, in accordance with the inverse variation relationship between x and y.

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The lengths of the legs are 7.7 units and 6.4 units

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;

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

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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Answer:

6 times with a remainder of 0

how do u not know this

skipped basic math have u?

Answer:

-----------------------

Find the combination of 2 out of 7:

There are 21 combinations.

The value x, y and z from the given matrix are -3.65, -4.5 and 2.2 respectively.

From the given matrix,

[tex]\left[\begin{array}{ccc}-2&6&-7\\2&-7&-3\\6&-4&-6\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-47\\22\\-10\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-2x+6y-7z\\2x-7y-z\\6x-4y-6z\end{array}\right] =\left[\begin{array}{ccc}-47\\22\\-10\end{array}\right][/tex]

-2x+6y-7z=-47  -------(i)

2x-7y-z=22 ---------(ii)

6x-4y-6z=-10 ---------(iii)

Add equation (i) and (ii), we get

-2x+6y-7z+2x-7y-z=-47+22

-y-8z=-27 ---------(iv)

Multiply equation (ii) by 3, we get

6x-21y-3z=66  ---------(v)

Subtract equation (iii) from (v), we get

6x-21y-3z-(6x-4y-6z)=66-(-10)

6x-21y-3z-6x+4y+6z=76

-17y+3z=76  ---------(vi)

Multiply equation (iv) by 17, we get

-17y-136z=-216  ---------(vii)

Subtract equation (vi) from (vii), we get

-17y-136z-(-17y+3z)=-216-76

-133z=-292

z=-292/(-133)

z=2.2

Substitute z=2.2 in equation (vii), we get

-17y-136(2.2)=-216

-17y-292.6=-216

-17y=-216+292.6

-17y=76.6

y=-4.5

Substitute y=-4.5 and z=2.2 in equation (ii), we get

2x-7y-z=22

2x-7(-4.5)-2.2=22

2x+31.5-2.2=22

2x+29.3=22

2x=22-29.3

2x=-7.3

x= -7.3/2

x= -3.65

Therefore, the value x, y and z from the given matrix are -3.65, -4.5 and 2.2 respectively.

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Answer:

49 [tex]ft^{2}[/tex]

Step-by-step explanation:

a = 1/2 (bh)

a = 1/2(7x14)

a = 49

Helping in the name of Jesus.

2.883

I used Desmos graphing calculator to find this answer.

A graph that represent the system of quadratic equations is shown in the image attached below.

In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped. Based on the given quadratic function, we can logically deduce that the graph would be an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0).

By expanding the bracket, we have:

f(x) = (x - 4)(x + 4)

f(x) = x² - 4x + 4x - 16

f(x) = x² - 16

Since the leading coefficient (value of a) in the given quadratic function y = x² - 8x + 12 is positive 1, we can logically deduce that the parabola would open upward and the y-intercept is given by the ordered pair (0, 12).

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A. The initial size of the culture is 222.11

B. The doubling period is approximately 13.53 minutes.

C. The population after 100 minutes is 5807.76

D . The population will reach 13000 after approximately 44.59 minutes.

Use the formula for exponential growth:

N = N0 × eʳᵗ

where N is the population size at time t, N0 is the initial population size, r is the growth rate, and t is the time elapsed.

Using the given data:

At t=10, N=500

500 = N0 × eʳ×¹⁰

At t=30, N=1500

1500 = N0 × eʳ׳⁰

To solve for N0 and r, we can divide the second equation by the first:

¹⁵⁰⁰/₅₀₀ = eʳ׳⁰ / eʳ×¹⁰

3 = eʳ× ²⁰

Taking the natural logarithm of both sides:

ln(3) = r × 20

r = ln³/₂₀

r ≈ 0.0513 (rounded to 4 decimal places)

Now we can use N = N0 × eʳᵗ to answer the remaining questions:

- The initial size of the culture is:

N0 = N / eʳᵗ = 500 / ₑ(0.0513×10) ≈ 222.11 (rounded to 2 decimal places)

- The doubling period is the time it takes for the population to double. Find this by setting N = 2N0 and solving for t:

2N0 = N0 × eʳᵗ

2 = eʳᵗ

ln(2) = rt

t = ln²/ᵣ

t ≈ 13.53 (rounded to 2 decimal places)

So the doubling period is approximately 13.53 minutes.

- The population after 100 minutes is:

N = N0 × eʳᵗ = 222.11 × ₑ(0.0513×100) ≈ 5807.76 (rounded to 2 decimal places)

- To find when the population reaches 13000, we can solve N = 13000 for t:

13000 = N0 × eʳᵗ

13000 = 222.11 × ₑ(0.0513t)

58.56 = ₑ(0.0513t)

ln(58.56) = 0.0513t

t ≈ 44.59 (rounded to 2 decimal places)

So the population will reach 13000 after approximately 44.59 minutes.

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Hello,

tan = opposite/ adjacent

[tex]tan0 = \frac{5}{\sqrt{11} } = \frac{5\sqrt{11} }{11}[/tex]

it's the first answer

The measure of the first Angle is 59 degrees, the second angle is x + 18 = 77 degrees, and the third angle is x - 15 = 44 degrees

In any triangle, the sum of the measures of the three angles is always 180 degrees.

Let x be the measure of the first angle.

The second angle is x + 18 because it is given that the second angle is 18 more than the first angle.

The third angle is x - 15 because it is given that the third angle is 15 less than the first angle.

So, we have:

x + x + 18 + x - 15 = 180

Simplifying and solving for x, we get:

3x + 3 = 180

3x = 177

x = 59

Therefore, the measure of the first angle is 59 degrees, the second angle is x + 18 = 77 degrees, and the third angle is x - 15 = 44 degrees.

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Answer:

To find the area of the shaded region, we need to first find the x-coordinates of the points where the two functions intersect. We can set f(x) = g(x) and solve for x:

x^4 - 12x^3 + 48x^2 = 44x + 105

x^4 - 12x^3 + 48x^2 - 44x - 105 = 0

We can use a numerical method, such as the Newton-Raphson method, to approximate the roots of this equation. Using a graphing calculator or computer algebra system, we can find that the roots are approximately:

x = -1.932, x = 0.695, x = 4.149

Note that the root x = -1.932 is outside the given interval [3, 4], so we can ignore it.

The shaded region is bounded by the x-axis, the line y = 340, and the graphs of f(x) and g(x) between x = 3 and x = 4. To find the area of this region, we can integrate the difference between the two functions over this interval:

A = ∫3^4 [g(x) - f(x)] dx

A = ∫3^4 [44x + 105 - (x^4 - 12x^3 + 48x^2)] dx

A = ∫3^4 [-x^4 + 12x^3 - 48x^2 + 44x + 105] dx

We can integrate term by term using the power rule:

A = [-x^5/5 + 3x^4 - 16x^3 + 22x^2 + 105x]3^4

A = [-1024/5 + 192 - 192 + 22 + 105] - [-81/5 + 108 - 192 + 66 + 105]

A = 347.2

Therefore, the area of the shaded region is approximately 347.2 square units.

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

The equation that relates the cost of a bouquet to the number of balloons in the bouquet is: Y = 5.75x

The bouquet with 6 balloons, and the cost per balloon is:

34.50 / 6 = 5.75

We can repeat this process for each bouquet to get:

6 balloons: cost per balloon = 5.75

9 balloons: cost per balloon = 3.83

12 balloons: cost per balloon = 3.04

we can write an equation of the form: Y = kx

where Y is the cost of a bouquet,

x is the number of balloons in the bouquet, and

k is a constant that represents the cost per balloon.

To solve for k, we can use any one of the bouquets to get:

34.50 = k(6)

Solving for k, we get:

k = 5.75

Therefore, the equation that relates the cost of a bouquet to the number of balloons in the bouquet is:

Y = 5.75x

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Complete question:

Brenda sells balloon bouquets. She charges the same price for each

balloon in a bouquet. The costs for several bouquets are shown in the

table. Write an equation that relates the cost of a bouquet to the number

of balloons in the bouquet.

Number of balloons,

(x= # of balloons)

6

9

12

(Y=cost)

3

4.50

6

Answer:

The solution is (-2, 0).

Answer:

c

Step-by-step explanation:

The two angles on the bottom are equal.

All 3 angles equal 180 degrees.

We know one angle is 130.

The other two are 180-130= 50 combined.

Since those angles are equal, divide by two.

50/2= 25 degrees each.

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

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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Answer:

[tex]y = 1- |x + 1| [/tex]

Hello,

x = departure's sallary

x*1,1*0,9 = 0,99x

the net change in my salary is 1%

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

After considering the given data we conclude that the x-coordinate of the inflection points for the function are x = - 2 and x = 2, which is option A.

To evaluate the x-coordinate of the inflection points for the function f(x) = ln(x² + 4) we need to evaluate the second derivative of the function and find for x when the second derivative equals zero.
The first derivative of f(x) is:
f' * (x) = (2x)/(x² + 4)
The second derivative of f(x) is:
f"(x) = 2(x² + 4)-4x² /(x²+4)² = 8 - 2x²/(x²+4)²
To evaluate the inflection points, we need to find the equation f'' (x) = 0 for x:
8 - 2x²/(x²+4)² = 0
After applying simplification this equation, we get:
8 - 2x² = 0
Evaluating for x, we get:
x = +/- √4) = +/- 2
Therefore, the x-coordinate of the inflection points for the function f(x) = ln(x² + 4)
x = - 2 and x = 2 .
The answer is A. x = - 2 and x = 2.
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