Samuel is folding his laundry. The table shows the proportional relationship between the number of shirts he folds and the time, in minutes, it takes him to fold them.


Number of Shirts 2 4 ?
Time (minutes) 0.4 0.8 3


How many shirts can Samuel fold in 3 minutes?
21 shirts
15 shirts
8 shirts
6 shirts

Answers

Answer 1

I’d say 30 shirts.

Step-by-step explanation:

 30 seconds = 3 shirts 1 minute 30 seconds = 9 shirts 30 seconds per each 3 shirts.

shirts:      3, 6, 9, 12, 15, 18, 21, 24, 27, 30minutes: .5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5

Answer 2

Answer:

15 (B).

Step-by-step explanation:

I took the test.


Related Questions

In this polygon, all angles are right angles.
What is the area of the polygon? Show your work.

Answers

The area of the polygon is solved to be  1044 squared cm

How to find the are of the c]polygon

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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Cory is a bird watcher. He estimates that 30% of the birds he sees are American robins, 20% are dark-eyed juncos, and 20% are song sparrows. He designs a simulation.

Answers

Answer:

C.0.75

Step-by-step explanation:

the number of occurrence is 15 and the number of simulations is 20 so

P= 15/20

.75

What value of x makes this equation true?
A. x = −48
B. x = 1
C .x =1/2
D. x = 8

Answers

The value of x that makes the equation true is 8

What is linear equation?

A linear equation is a type of equation that the highest power of it's variable is 1. Example of linear equation include, x+2 =y, x+7/2 =15.

The graph of a linear equation is a straight line and it is represented in form of y = mx+b. Where m is the slope and b is the y intercept.

Solving x-7 = (3/4)x -5

collecting like terms

x-(3/4)x = 7-5

x/4 = 2

x = 8

therefore the value of x that will make the equation x-7 = (3/4)x -5 true is 8.

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Where will the parabola intersect the​ line? What equation did you solve to find the​ intersection? Question content area bottom
Part 1 Use the equation to find the intersection.
The parabola will intersect the line at____enter your response here.

Answers

From the graph of the parabola, line, and the given values we found out that the parabola will intersect the line at coordinates ([tex]2\sqrt{14}[/tex],7).

What is a parabola and how do we obtain the equations of the same?A parabola is a type of curve that can be described as a symmetrical U-shape. The generalized equation of a parabola is [tex]y=ax^{2} +bx+c[/tex], where a, b, and c are constant values.This equation represents a vertical parabola with its vertex at the point [tex](-b/2a, c - b^2/4a)[/tex] and an axis of symmetry that is parallel to the y-axis.This equation represents a parabola that opens to the right or left, with its vertex at the point [tex](c - b^2/4a, -b/2a)[/tex] and an axis of symmetry that is parallel to the x-axis. The specific coefficients in the equation depend on the particular characteristics of the parabola, such as its vertex, axis of symmetry, and whether it opens up or down or left or right.

As the parabola is originating from the origin and opens at the y-axis, hence:

Equation of parabola = [tex]x^{2} =4ay[/tex] {where a =2} .....................(1)Equation of the line=[tex]y-7=0[/tex].............................................(2)From equation 2 we obtain y=7 and will put this value in 1.After computing the above values in 1 we get: [tex]x^{2} =4*2*7\\x=\sqrt{4*2*7}\\ x=2\sqrt{14}[/tex]  and y=7So the coordinates at which the parabola intersects the line is  [tex](2\sqrt{14} ,7)[/tex]

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For which angle θ is cos θ = −1?
a. 270° b. 360° c. 450° d. 540°

Answers

Answer: Dude adove is WRONGGG

Step-by-step explanation:

ANSWER IS  540

Answer:

  c. 540°

Step-by-step explanation:

You want to know which angle θ has cos(θ) = -1.

Cosine

The cosine function is periodic with period 360°. The smallest positive angle θ for which cos(θ) is -1 is 180°. The next such angle is ...

  180° +360° = 540° . . . . . choice D

__

Additional comment

A graph of the cosine function is attached. The horizontal axis is in degrees.

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Im stuck on this question
An image of a right rectangular prism is shown. A rectangular prism with dimensions of 4.5 centimeters by 6 centimeters by 4 centimeters. What is the surface area of the prism? 138 cm2 169 cm2 31 cm2 69 cm2

Answers

The prism's surface area is 138 [tex]cm^{2}[/tex]. As a result, option (a) is correct.

What is the meaning of surface area?

A three-dimensional object's surface area is the sum of all its faces.

The formula for the surface area of a right rectangular prism is:

surface area = 2lw + 2lh + 2wh

where l, w, and h are the prism's length, breadth, and height, respectively.

When we substitute the provided values, we get:

Surface Area = 2(4.5)(6) + 2(4.5)(4) + 2(6)(4)

Surface Area = 54 + 36 + 48

surface area = 138 [tex]cm^{2}[/tex]

As a result, the prism's surface area is 138 [tex]cm^{2}[/tex]. As a result, option (a) is correct.

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how do I do 3 + 2n = 7

Answers

3+2n=7
2n=7-3
2n=4
N=2

In the given equation which is 3 + 2n = 7, the value of n = 2.

For, further explanation to find the value of the variable in the given equation, we can solve the given equation by transferring the non-variable digits to one side either to L.H.S or R.H.S.

Given equation = 2n + 3 =7

In the above equation, the variable is 'n' and the non-variable digits are '3' and '7'. To find the value of 'n', we can transfer the non-variable digits to the R.H.S (Right Hand Side) as shown below:

2n + 3 = 7

2n = 7 - 3

2n = 4

n = [tex]\frac{4}{2}[/tex]

n = 2.

So, from the above solution the value of 'n' is 2.

Given question is incomplete/incorrect, I assume the given question was to "obtain the value of n from the linear equation 3 + 2n = 7"

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Altogether the Blue Team jumped 11,485 times. The Red Team did 827 more jumps than the Blue Team. How many jumps did the Red Team do?

Answers

Answer:

12312

Step-by-step explanation:

add the 11485 to 827 to figure out how many times did the red team do

Find the marginal revenue curve under monopoly market. 1. When the demand curve is P = -5Q + 25, the Marginal Revenue curve is MR = Q+ 2. When the demand curve is P = -0.5Q + 12, the Marginal Revenue curve is MR = Q +

Answers

The marginal revenue curves for the given demand curves are: MR = -0.5  Q + 12 In a monopoly market, the marginal revenue curve is always below the demand curve. This is because a monopolist can only increase their revenue by decreasing the price of their product, and therefore they must lower the price for all units sold, not just the last one.

For the first demand curve, P = -5Q + 25, the marginal revenue curve can be found by taking the derivative of the demand curve with respect to Q. This gives us:

MR = dP/d Q = -5

So the marginal revenue curve is a horizontal line at MR = -5. Adding the intercept of the demand curve at P = 25, we get:

MR = -5Q + 25

For the second demand curve, P = -0.5Q + 12, the marginal revenue curve can be found in the same way:

MR = dP/dQ = -0.5

So the marginal revenue curve is a horizontal line at MR = -0.5. Adding the intercept of the demand curve at P = 12, we get:

MR = -0.5Q + 12

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I NEED HELP ON THIS ASAP!!!

Answers

The exponential function f(x) = 2^x is given by the blue graph on the given graph.

What is an horizontal asymptote?

The horizontal asymptote of a function is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

The function in this problem is defined as follows:

y = 2^x.

Two relevant numeric values are given as follows:

When x = -1, y = 2^(-1) = 1/2 = 0.5.When x = 0, y = 2^0 = 1.

Hence the function is represented by the blue graph.

The horizontal asymptote is of y = 0, as when x goes to negative infinity, y goes to zero.

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Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours.

The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way.

How long did it take Stu to hike the trail one way?


hours

How long is the trail?


miles

What is the total distance Stu traveled?


miles

Answers

To find the time it took Stu to hike the trail one way, we can use the equation given:

3t = 5(3 - t)

Expanding the right side, we get:

3t = 15 - 5t

Adding 5t to both sides, we get:

8t = 15

Dividing both sides by 8, we get:

t = 15/8 = 1.875 hours

Therefore, it took Stu 1.875 hours to hike the trail one way.

To find the length of the trail, we can use the formula:

distance = rate x time

When hiking, Stu traveled at a rate of 3 miles per hour, so the distance he covered in one way is:

distance = 3 x 1.875 = 5.625 miles

Since Stu hiked the trail one way and then ran back on the same trail, the total length of the trail is twice the distance he covered in one way:

total distance = 2 x 5.625 = 11.25 miles

Therefore, the trail is 11.25 miles long.

To find the total distance Stu traveled, we can add the distance he covered while hiking to the distance he covered while running back:

total distance = 5.625 + 5.625 = 11.25 miles

Therefore, Stu traveled a total distance of 11.25 miles.

3-4 If you know the rise and run of a fable roof, you can calculate the rake length and area using slope factors. (True or False)

Answers

Given statement "3-4 If you know the rise and run of a fable roof, you can calculate the rake length and area using slope factors." is true. Because the rise and run of a gable roof allows you to calculate the slope factor, which can then be used to calculate the rake length and area of the roof.

If you know the rise and run of a gable roof, you can calculate the rake length and area using slope factors. The slope factor is a ratio that relates the length of the roof to the height of the roof.

The slope factor is calculated by dividing the rise of the roof by the run of the roof. Once you have the slope factor, you can use it to calculate the rake length and area of the roof.

The rake length is the length of the diagonal edge of the roof, and it can be calculated by multiplying the slope factor by the run of the roof.

For example, if the run of the roof is 10 feet and the slope factor is 0.5 (which corresponds to a 6:12 pitch), then the rake length would be 5 feet (0.5 x 10).

The area of the roof can be calculated by multiplying the rake length by the width of the roof.

For example, if the width of the roof is 20 feet and the rake length is 5 feet, then the area of the roof would be 100 square feet.

Statment is true.

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a jet tank is in the shape of a rectangular prism. The tank is 18 inches wide, 12 inches deep and 23 inches tall How many squares inches of glass was used to make the tank if there is no top.

Answers

The tank used 3,528 square inches of glass to make, assuming that there is no overlap or waste in the glass cutting process.

The tank has four vertical rectangular sides, a bottom, and no top. Since there is no top, we do not need to include the area of any glass for the top of the tank.

The area of each rectangular side is given by multiplying the height by the width. The area of the bottom is given by multiplying the length by the width. Therefore, the total area of glass used to make the tank is:

Area = 2(height x width) + 2(height x length) + (length x width)

Substituting the given values, we get:

Area = 2(23 x 18) + 2(23 x 12) + (18 x 12)

Area = 1,656 + 1,656 + 216

Area = 3,528

Therefore, the tank used 3,528 square inches of glass to make, assuming that there is no overlap or waste in the glass-cutting process.

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HELP PLEASE I NEED THIS DONE ASAP

Answers

Answer:5

Step-by-step explanation:

it would be 5 because

PLEASE HELP MY MOMS GONNA KICK MT BUTT AND I JUST DONT GET THIS!!!Add.
(2h + 8) + (9h² + 2h)

Answers

Remove parentheses 2h+2h=4h since no other like terms the expression is 4h+9h^2+8

Last week, Austin's Diner sold 2 milkshakes with whipped cream on top and 23 milkshakes without whipped cream. What percentage of the milkshakes had whipped cream?

Answers

Answer:

  8%

Step-by-step explanation:

You want to know what percentage of milkshakes had whipped cream if 2 had whipped cream and 23 didn't.

Percentage

The fraction of the total number that had whipped cream is ...

  2/(2+23) = 2/25

The percentage is found by multiplying the fraction by 100%:

  2/25 × 100% = 8%

8% of the milkshakes had whipped cream.

The way an individual perceives stimuli and the general manner in which he or she responds to it is a __________-_______ style

Answers

Answer:

decision-making

Step-by-step explanation:

a certain drug has a half-life in the body of . what should the interval between doses be, if the concentration of drug in the body should not fall below of its initial concentration? round your answer to significant digits.

Answers

The interval between doses should be approximately 10.4 hours to maintain a minimum concentration of 30% of the initial concentration in the body.

The interval between doses of a drug depends on its half-life and the desired minimum concentration in the body. The half-life of a drug is the time it takes for half of the initial dose to be eliminated from the body.

To determine the interval between doses, we can use the following formula

t = (t1/2 × ln(Cmin/Cmax)) / ln(2)

Where:

t1/2 is the half-life of the drug

Cmin is the desired minimum concentration in the body (expressed as a fraction of the initial concentration)

Cmax is the initial concentration of the drug

ln represents the natural logarithm function.

Substituting the given values, we get

t = (6.0h × ln(0.3)) / ln(2)

t ≈ 10.4h

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The given question is incomplete, the complete question is:

A certain drug has a half-life in the body of 6.0h. What should the interval between doses be, if the concentration of drug in the body should not fall below 30.% of its initial concentration?

in a specific city there are 1350 people per square mile the city is shaped like a rectangle has a length of 12 miles and a width of eight what is the population of the city?

Answers

To find the population of the city, we need to find the total number of people living in the city. We know that there are 1350 people per square mile, so we can find the total number of people by multiplying the number of square miles in the city by the number of people per square mile.

The area of the city is the length times the width, so:

Area = Length x Width

Area = 12 miles x 8 miles

Area = 96 square miles

Now, we can find the population by multiplying the area by the number of people per square mile:

Population = Area x People per square mile

Population = 96 square miles x 1350 people per square mile

Population = 129,600 people

Therefore, the population of the city is 129,600 people.

Hope this helps!

Marcus fills his tank with premium gasoline. The graph shows the relationship between the number of gallons he puts in the tank and the total cost for the gas.

Answers

The equation is given by y = 2.5x. It means that the cost of each gallon of gas is $2.5

What is an equation?

An exponential equation is an expression that shows how numbers and variables using mathematical operators.

Let y represent the cost in dollars for x gallons of gas she puts in the tank

The graph passes through point (0, 0) and (3, 7.5), hence:

y - 0 = [(7.5 - 0) / (3 - 0)](x - 0)

y = 2.5x

The equation is given by y = 2.5x

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Amelia is building a fence and wants it to be 40 feet long. Each panel is 8 feet long, and she will need a post at each end and between each panel. If she does NOT plan to buy any extra for waste, how many panels and posts will she need?

Answers

Answer:

5 panels6 posts

Step-by-step explanation:

You want to know the number of panels and posts needed for a 40 ft fence comprised of 8 ft panels, with a post between panels and at each end of the fence.

Panels

The number of panels needed is ...

  (40 ft)/(8 ft/panel) = 40/8 panels = 5 panels

Layout

The 5 panels will have 2 ends and 4 spaces, requiring 2 + 4 = 6 posts.

  o ---- o ---- o ---- o ---- o ---- o

. While shopping, Sofia finds a dress she likes at a discounted price. The price on the tag before the discount is p dollars. She must pay sales tax on the discounted price of the dress. Sofia calculates that she must pay p-0.15p+ 0.07(0.85p) to buy the dress. What does 0.85p represent?​

Answers

The 0.85p in the expression represents the price of the dress after removing the discount

What does 0.85p represent in the equation?​

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

Sofia calculates that she must pay the following to buy the dress

p - 0.15p + 0.07(0.85p)

The 0.85p in the expression represents the price of the dress after removing the discount

Hence, 0.85 is the discounted price

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A particle moves along the y-axis so that at time t≥0 its position is given by y(t)=t3−6t2+9t. Over the time interval 0

Answers

Therefore, the maximum displacement of the particle is 4 units, and it occurs at time t = 1.

To find the maximum displacement, we need to first determine the particle's velocity and acceleration.

The velocity of the particle is given by the derivative of its position function:

[tex]v(t) = y'(t) = 3t^2 - 12t + 9[/tex]

The acceleration of the particle is given by the derivative of its velocity function: a(t) = v'(t) = 6t - 12

Now, to find the maximum displacement, we need to find the time at which the particle comes to rest.

This occurs when its velocity is zero:

[tex]3t^2 - 12t + 9 = 0[/tex]

Simplifying this equation, we get:

[tex]t^2 - 4t + 3 = 0[/tex]

This quadratic equation factors as:

(t - 1)(t - 3) = 0

So the particle comes to rest at t = 1 or t = 3.

Next, we need to determine whether the particle is at a maximum or minimum at each of these times.

To do this, we look at the sign of the acceleration:

When t = 1, a(1) = 6(1) - 12 = -6, which is negative.

Therefore, the particle is at a maximum at t = 1.

When t = 3, a(3) = 6(3) - 12 = 6, which is positive.

Therefore, the particle is at a minimum at t = 3.

Finally, we need to find the displacement of the particle at each of these times:

[tex]y(1) = 1^3 - 6(1)^2 + 9(1) = 4[/tex]

[tex]y(3) = 3^3 - 6(3)^2 + 9(3) = 0.[/tex]

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A packet of chips cost $9.99 if the price decreases by 12% what will the new price be

Answers

If the price of the packet of chips decreases by 12%, the new price will be:

New price = $9.99 - (12/100) x $9.99

New price = $9.99 - $1.199

New price = $8.791

Therefore, the new price of the packet of chips will be $8.791.

Joe wants to answer the with a river. He marks off two right triangles as shown in the figure. The base of the larger triangle has a length of 55 M and the base of the smaller triangle has a length of 26 m. The height of the smaller triangle is 21.4m. How wide is the river? Round your answer to the nearest meter. (The figure is not drawn to scale)​

Answers

The width of the river is approximately 45m.

How to calculate the width of the river?

Let's say the illustration may be explained as follows:

The big right triangle is located inside the river, with its base extending down one of its sides and its height spanning its breadth.

The base of the little right triangle lies on the opposite bank of the river, outside of it.

Triangles don't cross over one another. Their bases' endpoints contact, as does the end of their hypotenuses.

Let's assume the two right triangles are similar (which means they have proportional sides).

H1/B1 = H2/ B2

which is H1/55 = 21.4/26

=21.4/26 x 55

= 45.27

It is the larger triangle is the width of the river

If the smaller triangle represents the land on one side of the river and the larger triangle includes both the land and the river, we need to find the width of the river by subtracting the base of the smaller triangle from the base of the larger triangle:

Width of the river = 55 - 26 = 29 meters

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HELP PLEASE !!!!!
Subtract.
(9w² + 3w) - (6w² + w)

Answers

Answer:

3w²+2w

Step-by-step explanation:

(9w² +3w)-(6w²+w)

=9w²+3w-6w²-w

collecting like terms

=9w²-6w²+3w-w

=3w²+2w

=w(2+3w)

What are the zeros of the function f(x)= (4x-3) (2x-1) help

Answers

The zeros of the function f(x) are:

x = 3/4x = 1/2How to find the zeros of the function?

For a function y = f(x), the zeros are the values of x such that:

f(x)= 0

Here we have:

f(x)= (4x-3) (2x-1)

The zeros are the values such that any of the coefficients are zero, then we have:

4x - 3 = 0

x = 3/4

And:

2x - 1 = 0

x = 1/2

These are the zeros.

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Maverick spins a spinner 15. The spinner has 5 equal parts numbered 1-5. Which is the best prediction of the number of times Maverick should spin a 4?

Answers

The best prediction of the number of times Maverick should spin a 4 is 3 times.

How to determine the best prediction of the number of times Maverick should spin a 4

Assuming the spinner is fair and unbiased, the best guess for how many times Maverick should spin a 4 is three.

The expected number of times a 4 should appear can be calculated by calculating the probability of spinning a 4 (1/5, or 0.2) by the total number of spins (15):

Expected number of 4's = Probability of spinning a 4 x Total number of spins

Expected number of 4's = 0.2 x 15

Expected number of 4's = 3

Therefore, the best prediction of the number of times Maverick should spin a 4 is 3 times.

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Which is more, 7 yards or 19 feet?

Answers

According to the given condition, 7 yards is more than 19 feet, To compare different units of measurement, we need to convert them to the same unit.

What is multiplication?

Multiplication is an arithmetic operation that involves combining two or more numbers to get a product. It is a way of repeatedly adding a number to itself a certain number of times. The number being multiplied is called the multiplicand, while the number of times it is being multiplied is called the multiplier. The result of the multiplication operation is called the product.

According to the given information:

To compare 7 yards and 19 feet, we need to convert them to the same unit. Since 1 yard is equal to 3 feet, we can convert yards to feet by multiplying by 3, and we can convert feet to yards by dividing by 3.

In the first answer, we converted 7 yards to feet by multiplying by 3, which gave us 21 feet. Then we compared 21 feet to 19 feet, and found that 21 feet is greater than 19 feet. Therefore, we concluded that 7 yards is more than 19 feet.

In the second answer, we converted 19 feet to yards by dividing by 3, which gave us approximately 6.33 yards (rounded to two decimal places). Then we compared 7 yards to 6.33 yards, and found that 7 yards is greater than 6.33 yards. Therefore, we concluded that 7 yards is more than 19 feet.

Therefore, according to the given condition, 7 yards is more than 19 feet, To compare different units of measurement, we need to convert them to the same unit.

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1. Triangles

B = 4in, H = 5in
B = 6ft, H= 10ft
B = 12m, H = 15m
Application: Sandy is making tablecloths in the shape of triangles. She needs to make two triangle tablecloths for one table. The triangles have base of 2 ft and a height of 4 ft. What is the total area of the triangle tablecloths for one table?
2. Parallelogram (H = height) and (B = base)

H = 9in, B = 6in
H = 5 ft, B = 2ft
H = 7yds, B = 3yds
Application: If a parallelogram has a base of 13 mm and an area of 78 mm2 what is the height?
Hint: Use the formula. Substitute the given values and then solve as an equation.

3. Rectangle (L = length) and (w = width)

rect. DKIF with L = 8 ft and w = 6 ft
rect. AOPU with L = 13 ft and w = 5 ft
Application: Charles is paining the den. Two walls are 9 ft high and 15 ft long. The other two walls are 8 ft high and 10 ft long. Charles bought one gallon of paint that will cover 440 square feet of wall space. Does he have enough paint? Explain.
4. Rhombus ( d1 = diagonal 1) (d2 = diagonal 2)

rhombus with d1 = 12 yds and d2 = 12 yds
rhombus with d1 = 10 ft and d2 = 25 ft
rhombus with d1 = 16 in and d2 = 22 in
Application: a rhombus as an area of 72 ft and the product of the diagonals is 144. What is the length of each diagonal?
5. Trapezoid ( b1 = base 1) (b2 = base 2) (H = height)

b1 = 6 ft, b2 = 7 ft, H = 10 ft
b1 = 5 yds, b2 = 8 yds, H = 4 yds
c. b1 = 9 in, b2 = 11 in, H = 13 in
d. Application: The two bases of a trapezoid = 16 km and its area = 32 km2. What is its height?

Answers

The answers are:

Total area of two triangle tablecloths for one table with base of 2 ft and a height of 4 ft = 8 ft².Height of a parallelogram with base of 13 mm and an area of 78 mm² = 6 mm.Charles has enough paint to cover the den walls.Length of diagonals of a rhombus with an area of 72 ft² and the product of diagonals as 144 = 8 ft.Height of a trapezoid with bases of 16 km and an area of 32 km² = 4 km.

What is the explanation for the above response?

1) The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. For the given triangles:

Triangle 1: A = (1/2)(2ft)(4ft) = 4 sq ft (for one tablecloth), so for two tablecloths, the total area is 8 sq ft.

Triangle 2: A = (1/2)(6ft)(10ft) = 30 sq ft, so for two tablecloths, the total area is 60 sq ft.

Triangle 3: A = (1/2)(12m)(15m) = 90 sq m, so for two tablecloths, the total area is 180 sq m.

2) The area of a parallelogram is given by the formula A = Bh, where B is the base and h is the height. Rearranging this formula, we get h = A/B. For the given parallelogram:

A = 78 mm2 and B = 13 mm, so h = 78/13 = 6 mm.



3) The area of a rectangle is given by the formula A = LW, where L is the length and W is the width. For Charles' den:

The total wall space to be painted is (2 x 9 x 15) + (2 x 8 x 10) = 342 sq ft. One gallon of paint covers 440 sq ft, so Charles needs (342/440) = 0.7778 gallons of paint. Therefore, he does not have enough paint.


4) To calculate the total area of the walls to be painted, we can calculate the area of each wall and add them together.

The area of the two walls that are 9 ft high and 15 ft long is (9 x 15) = 135 sq ft each, for a total of 270 sq ft. The area of the other two walls that are 8 ft high and 10 ft long is (8 x 10) = 80 sq ft each, for a total of 160 sq ft. Adding them together, we get a total of 430 sq ft.

Since one gallon of paint covers 440 sq ft of wall space, Charles has enough paint to cover the den walls.

5) The area of a trapezoid is given by the formula A = (1/2)(b1 + b2)h, where b1 and b2 are the bases and h is the height. Rearranging this formula, we get h = 2A/(b1 + b2). For the given trapezoids:

A = (1/2)(6ft + 7ft)(10ft) = 65 sq ft and h = 2(65)/(6ft + 7ft) = 5 ft.

A = (1/2)(5yds + 8yds)(4yds) = 26 sq yds and h = 2(26)/(5yds + 8yds) = 2 sq yds.

A = (1/2)(9in + 11in)(13in) = 143.5 sq in and h = 2(143.5)/(9in + 11in) = 13.05 in.

For the application in part (d), we are given A = 32 km2 and (b1 + b2) = 16 km.

Rearranging the formula for A, we get h = 2A/(b1 + b2). Substituting the given values, we get h = 4

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