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## A science fair poster is a rectangle 48 inches long and 36 inches wide. What is the area of the poster in square feet?

Answer: 1728 square feet.

Step-by-step explanation:

We know that the area of a rectangle is given by :-

Given: The length of the poster = 48 inches

The width of the poster = 36 inches

Now, the area of the poster is given by :-

Hence, the area of the poster is 1728 square feet.

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## How many square inches off gift wrap will be need to cover a box that is 4inx6inx2in

How many square inches off gift wrap will be need to cover a box that is 4inx6inx2in

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## A rectangle has a length of the cube root of 81 inches and a width of 3 to the 2 over 3 power inches. Find the area of the rectangle. Select one: a. 3 to the 2 over 3 power inches squared b. 3 to the 8 over 3 power inches squared c. 9 inches squared d. 9 to the 2 over 3 power inches squared

A rectangle has a length of the cube root of 81 inches and a width of 3 to the 2 over 3 power inches. Find the area of the rectangle. Select one: a. 3 to the 2 over 3 power inches squared b. 3 to the 8 over 3 power inches squared c. 9 inches squared d. 9 to the 2 over 3 power inches squared

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## The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

If 5 in and 8 in are legs:
hypotenuse = √(5²+8²) = √89 ≈ 9.4 in.

If 5 in is the leg and 8 in is the hypotenuse:
other leg = √(8²-5²) = √39 ≈ 6.2 in.

The difference between the two possible lengths of the third side =
9.4 – 6.2 = 3.2 in.

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## Two legs of a right triangle are 5 inches in 12 inches what is the length of the hypotenuse A.34 inches B. 60 in C.13in D.17 in

Two legs of a right triangle are 5 inches in 12 inches what is the length of the hypotenuse A.34 inches B. 60 in C.13in D.17 in

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## The relationship between you shoe size and the length of you foot L ( in inches) is given by S = 3L – 22 for men and S = 3L – 21 for women. How long is your foot when your shoe size is the same as the length of your foot and you are the following gender> a man : a woman:

For the shoe size be equal to the length of the foot, this means that L must be equal to S. Now, since we have different equations depending on your gender, we first check the conditions for man.

Since S = 3L – 22 for men, for a person to have a foot length equal to his shoe size, we equate L to S as shown below.

L = S
L = 3L – 22
2L = 22
L = 11

Thus, we can see that men with 11-inch foot would have the same shoe size number. We can apply similar approach to find the length of a woman’s foot that satisfies our conditions as shown.

L = S
L = 3L – 21
2L = 21
L = 10.5

Hence, a woman with a 10.5-inch foot have 10.5 for a shoe size as well.

man: 11 inches
woman: 10.5 inches

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## The dimensions of a conical funnel are shown below: Nisha closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drops at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? ( use pi= 3.14)

The dimensions of a conical funnel are shown below: Nisha closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drops at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? ( use pi= 3.14)

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## The amount of time it takes to fill a whirlpool tub is inversely proportional to the square of the radius of the pipe used to fill it. If a pipe of radius 2.5 inches can fill the tub in 8 minutes, how long will it take the tub to fill if a pipe of radius 3.5 inches is used? How many inches would the tub fill approximately in minutes?

The amount of time it takes to fill a whirlpool tub is inversely proportional to the square of the radius of the pipe used to fill it. If a pipe of radius 2.5 inches can fill the tub in 8 minutes, how long will it take the tub to fill if a pipe of radius 3.5 inches is used? How many inches would the tub fill approximately in minutes?

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## Which of the following represents a method by which one could convert inches into miles A. Multiply by 12, then multiply by 5,280 B. Divide by 12, then divide by 5,280 C. Add 12, then divide by 5,280 D. Multiply by 12, then divide by 5,280

### Answered by answersmine AT 22/10/2019 – 03:48 AM

To convert inches to miles, you would first have to convert inches to feet, and since there are 12 inches in a foot, the first step would be multiply by 12. After converting 12 inches to 1 foot, you would then have to take 1 and multiply by 5,280, since there are 5,280 feet in a mile, so the answer would be A, Multiply by 12, then multiply by 5,280.

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## If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in miles per hour

If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in miles per hour

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## If a wheel with a radius of 30 inches spins at a rate of 500 revolutions per minute, find the approximate linear velocity in miles per hour.

30 inches @ 500 rpm = 15,000 inches per minute

15,000 inches per minute = 900,000 inches per hour (multiply by 60)

1 mile = 5,280 feet (google-able fact you shouldn’t have to memorize)
1 foot = 12 inches (you probably already know this)
900,000 inches = 75,000 feet (divide by 12)

75,000 feet = 14.20454545454545. . . miles (divide by 5280)

Linear velocity in miles per hour is 14.20454545454545. . . miles per hour.

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## A rectangular photograph has an area of 104 square inches. if the width of the photograph is 5 inches less than its hight, find the dimensions

A rectangular photograph has an area of 104 square inches. if the width of the photograph is 5 inches less than its hight, find the dimensions

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## An action movie production team needs glass spheres to hold a green liquid that looks like an explosive l. if all of the available 3,392’92 cubic inches of the liquid is to be poured into 30 glass spheres l, what should the diameter of each sphere be. assume that each sphere is filled to the top

We need 30 glass spheres whose TOTAL volume = 3,392.92 cubic inches.
Therefore each of the 30 spheres must have a volume of  3,392.92 / 30 =

113.0973333333

cubic inches
Sphere Volume   =   4/3 • π • r³
Sphere Volume / (4/3 • π)
radius^3 = 113.0973333333 /

4.1887902048

26.9999994758

radius = 3 inches
diameter = 6 inches

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## Find the area of the sector with a central angle of 120° and a radius of 8 inches. leave in terms of ?. a.8 3 ? in2 b.16 3 ? in2 c.32 3 ? in2 d.64 3 ? in2

I’m assumig you meant ?=pi

so the area of the sector would be the area of the circle times the fraction of the circle that is

the fraction of the circle would be degrees/360 since 360 degrees in a circle
and area of course is pir^2

so
r=8
degrees=120
so
area=pi8^2 times 120/360
area=64pi times 1/3
area=64pi/3
I think you mean 64/3 pi in²
so D is the answer

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## If a right triangle has a hypotenuse of 13 inches and a leg of 5 inches, how could you use the Pythagorean Theorem to find the missing side? What is the length of the missing side?

Since we do not know where the angle of 23 degrees is located, then we can find the remaining side using the Pythagorean theorem. This can be done because we know that we have a triangle with a right angle.

We have then:

From here, we clear the value of x.

We have then:

Then, the area of the triangle is given by:

Where,

b: base of the triangle

h: height of the triangle

Substituting values:

Note: Maybe the height of the triangle is 27.6 instead of 11.8. This will depend on where the angle of 23.8 is located.

But for the moment of looking for the area of the triangle, this is not relevant because the product of the base for the height is the same.

The approximate area of the triangle is:

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## A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: The figure shows a cylinder of height 16 inches and diameter 6 inches. What is the approximate inside volume of the pipe?

A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: The figure shows a cylinder of height 16 inches and diameter 6 inches. What is the approximate inside volume of the pipe?

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## The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. Both h(x) and x are measured in inches. h(x) = -1/5(x)(x – 13) What is the height of the hill in the painting 3 inches from the left side of the picture? inches

The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

Answer: 3) – 9

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## Can someone answer this? I got 180 cubic inches but it wasn’t right. Please help.

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## Marilyn is having shelves installed to create a corner pantry. The length of one wall is 21 inches and the length of the other wall is 25 inches. The contractor who is making the shelves, which are shaped like right triangles, needs to know the measure of the angle opposite the short side of the pantry, m

Marilyn is having shelves installed to create a corner pantry. The length of one wall is 21 inches and the length of the other wall is 25 inches. The contractor who is making the shelves, which are shaped like right triangles, needs to know the measure of the angle opposite the short side of the pantry, m

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## The relationship between feet and inches is described by the equation y = 12x, where x = a given length in feet and y = the equivalent length in inches. If a table is 7.25 feet long, what is its length in inches? A. 84 inches B. 87 inches C. 81 inches D. 90 inches

The relationship between feet and inches is described by the equation y = 12x, where x = a given length in feet and y = the equivalent length in inches. If a table is 7.25 feet long, what is its length in inches? A. 84 inches B. 87 inches C. 81 inches D. 90 inches

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## Find the height of a triangle whose base is 2 square root 2 inches and area is 8 square root 6 square inches.

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## Gina looks at the architectural plan for a four-walled roomie the walls meet each other at right angles. The length of one wall is 17 inches. The length of the diagonal floor of the room in the plan is approximately 18.79 inches. Is the room in the shape of a square? Explain how you determined your answer. Show your work.

Gina looks at the architectural plan for a four-walled roomie the walls meet each other at right angles. The length of one wall is 17 inches. The length of the diagonal floor of the room in the plan is approximately 18.79 inches. Is the room in the shape of a square? Explain how you determined your answer. Show your work.

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## A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for pi and round to the nearest whole number.)

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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## If a wheel with a radius of 70 inches spins at a rate of 600 revolutions per minute, find the approximate linear velocity in miles per hour.

If a wheel with a radius of 70 inches spins at a rate of 600 revolutions per minute, find the approximate linear velocity in miles per hour.