The length and width of another rectangular park is 110 meters by 65 meters
From the question, we have the following parameters that can be used in our computation:
A rectangular park is 70 meters wide and 105 meters long
This means that
Width = 70
Length = 105
The area is calculated as
Area = 70 * 105
Area = 7350
For smaller area, we decrease the width and increse the length
So, we have
Width = 70 - 5
Length = 105 + 5
Evaluate
Width = 65
Length = 110
Hence, the length and width of another rectangular park is 110 by 65
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solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180 degrees in a triangle the measures of three angles are x x + 18 + x - 15 what is the measure of each angle
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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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?
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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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
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
How many times does 12 go into 72
Answer:
6 times with a remainder of 0
how do u not know this
skipped basic math have u?
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?
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
What are the equivalent fractions for the following number? Show all your work.
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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help me find an answer?
Answer:
The solution is (-2, 0).
Can you help me with this question please?
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.
How did we get these values?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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19. What is the tangent of ?
5√/11
11
O 5√11
O 6√11
√11
5
Hello,
tan = opposite/ adjacent
[tex]tan0 = \frac{5}{\sqrt{11} } = \frac{5\sqrt{11} }{11}[/tex]
it's the first answer
write the alhebraic expression for each graph
Answer:
[tex]y = 1- |x + 1| [/tex]
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?
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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Franklin got a Dino Delve activity set for his birthday there are eight dinosaur toys hidden in a large sand bin in Franklin must take to find them according to the manufacture each dinosaur toy has a 10% chance of being a T. rex how likely is it that at least one of the dinosaur toys in Franklin set is a T. rex
The chances that, at least, one of the dinosaur toys in Franklin's set is a T.rex is 57%.
Probability calculationWe 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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Which measurement is equal to 2 1 2 gallons?
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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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.
The plane traveled approximately 15,806 feet from point A to point B.
How to solve for the distancetan(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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(PEPPER FOOD DELIVERY) PLEASE READ FIRST
I just need to know how to do the math to answer the question. In the picture I am sending, it is not the full chart, but shows all the sections that are in it. I JUST NEED TO KNOW HOW TO DO THE MATH to answer this big question. DO NOT give me an answer because I did not provide all of the data to do the whole math problem since I can only post one photo at a time, just please tell me what I need to do for each part of this big question to properly answer it thats all.
following types of accounts (link):
• Asset Liability Equity • Revenue Expense $ J Calculate the following items using formulas in Excel (link)
• Total assets as of January 31, 2020 (put formula in Cell C84)
• Total liabilities as of January 31, 2020 (put formula in Cell 085) Revenues for the month ending January 31, 2020 (put formula in Cell C89) Expenses for the month ending January 31, 2020 (put formula in Cell C90)
• ● 4 • Net income for the month ending January 31, 2020 (put formula in Cell C91) Equity as of January 31, 2020 (put formula in Cell C86)Hint: Equity will be Common Stock + Retained Earnings + Net income - Dividends
4. Total liabilities and equity as of January 31, 2020 (put formula in Cell C87)Using your Excel worksheet and your answers to Requirement 2, answer the following questions:
a. What would the accounting equation (link) for Pepper Food Delivery be as of January 31, 2020?
b. What accounts would be found on Pepper Food Delivery's balance sheet (link) as of January 31, 2020?
c. What accounts would be found on Pepper's income statement (link) for the month ended January 31, 2020?
d. Did Pepper Food Delivery have a profitable month? How do you know?
e. What is the total amount that Pepper Food Delivery owes as of January 31, 2020?
4. What was Pepper Food Delivery's largest total expense for January?
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.
Explanation:To answer these questions, you are required to have Excel skills and basic understanding of business accounting principles. Let's break it down per section:
Total assets as of January 31, 2020. You simply need to calculate the sum of all the Asset accounts for that date. You would use the SUM formula in Excel like this: =SUM(range of cells with asset values). Total liabilities as of January 31, 2020. The same as assets, you calculate the sum of all the Liability accounts for that date. The SUM formula is the same as the one used for assets. The Revenues for the month ending January 31, 2020. This is the total sales the business had during January. Again, use the SUM formula to add all the relevant revenue accounts together. Expense for the month ending January 31, 2020. You should add up all expense account figures within that time frame using the SUM formula. Net income for the end of January. This can be derived by subtracting Total Expenses (C90) from Total Revenues (C89). Equity as of January 31, 2020. This is calculated as common stock, plus retained earnings, plus net income, minus dividends. Total liabilities and equity as of January 31, 2020. This is achieved by summing the total liabilities (C85) and total equity (C86).Learn more about Business Accounting here:
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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?
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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please help i been stuck on it forever i dont understand it at allll
mang pedro walks off a patch of garden for tomatoes. he walks 14feet north 7 feet west and 15 feet straight back to where he started .what is the area of mang pedro's tomato patch
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.
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.
Answer:
Step-by-step explanation:
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)
Answer:
5
Step-by-step explanation:
v - e + f =2
5 - 8 + f = 2
f = 2 - 5 + 8
= 5
A cross section is taken from a sphere.Which of the following is true?
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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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?
The lengths of the legs are 7.7 units and 6.4 units
How to determine the valueTo 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;
sinecosinetangentcotangentsecantcosecantFrom 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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How many combinations are possible? Assume the items are distinct.
7 items chosen 2 at a time
____ combinations
Answer:
21 combinations-----------------------
Find the combination of 2 out of 7:
7C2 = 7!/[(7-2)! * 2!] = 7! / (5! * 2!) = 6*7/2 = 21There are 21 combinations.
Find the x-coordinate of the inflection points for the function
guys pls help
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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got the answer but said that it was wrong still?
Find the surface area of
the prism.
The surface area isin.²
8 in.
15 in.
5 in.
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
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.
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
Find the area under the curve
from 1 to 2.
thank you guys sm
2.883
I used Desmos graphing calculator to find this answer.
help please which one of this is and what is the x and y
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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Suppose y varies inversely with x, and y = 5 when x = 15. What is the value of y when x = 25 ?
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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