MATHEMATICS MIDDLE SCHOOL

Todd's cube has an edge that measures 5 inches. Kara's cube has an edge of 3 inches. If Kara's cube was stacked on top of Todd's cube, what would be the total volume of the combined solid?

Answers

Answer 1

Answer:

Answer:

152 cubic inches

Step-by-step explanation:

We simply have to calculate the volume of each cube them combine them to get the final result.

So, Todd's cube has an edge of 5 inches, so it's volume is 5³ or 5 * 5 * 5 = 125

Todd's cube's volume is 125 cubic inches.

We repeat the process with Kara's cube, which has 3 inches of edges.

Kara's cube's volume is then 3³ or 3 * 3 * 3 = 27 cubic inches.

Kara's cube's volume is 27 cubic inches.

Total volume: 125 + 27 = 152 cubic inches.

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the lenghty of a rectangal is 8 feet more than its width. the pirimete of the rectangle is 72 feet. Find the width

Answers

Width of the rectangle is 14 ft

Step-by-step explanation:

Step 1: Let the width of the rectangle be x. Then length = 8 + x. Perimeter = 72 ft.

Perimeter = 2(length + width)

72 = 2 (8 + x + x)

72 = 16 + 4x

4x = 56

x = 56/4 = 14

∴ Width of the rectangle is 14 ft

the size of a computer screen is measured along the diagonal. what is the approximate size measured to the nearest inch, of a 12 inch by 10.5 in computer screen

Answers

In this exercise we have to use the knowledge of pythagoras and triangles to calculate the size of a canvas, in this way we find that;

$15.945 inch$

So knowing that the Pythagorean formula is given by:

$a^2=b^2+c^2$

Substituting b and c for the values informed in the exercise we find that:

$a^2=144+110.25 \n a^2=254.25 \n a=15.945$

See more about pythagoras at brainly.com/question/10174253

This uses pythagoras which is a^2=b^2+c^2. You need to find the diagonal which is "a". Therefore a^2=144+110.25 which equals 254.25 then square root it and you get 15.945

How do you factorise with letters?
e.g : 4p + pq + 5pr

Answers

As you can see, p is present in each term. You may factor that out. You want to factor out the most common factor that is seen in each term.
p (4 + q + 5r)

4p + pq + 5pr
All of them have p as a common

So, we just take p out to factorize

p(4 + q + 5r)

The formula for the circumference of a circle is C = 2r. What is one-fourth of the circumference of a circle that measures 12 centimeters around? If necessary, use 3.14 for .

Answers

The formula of a circumference is:

$C=2\pi r$

r - radius

$C=d\pi$

d - diameter

We have d = 12cm. Substitute:

$C=12\pi\ cm$

One-fourth of the circumference:

$(1)/(4)C=(1)/(4)\cdot12\pi=3\pi\ cm\approx3\cdot3.14=9.42\ cm$

Answer: 9.42 cm.

Which of the following describes the quotient of 2 and -22?A. The quotient is an irrational number.
B. The quotient is undefined
C. The quotient is an integer.
D.The quotient is a rational number.

Answers

The quotient is a rational number.

AC = 4, AE = 7, AD = 10, what is the length of AB?

PLZ HELP

Answers

The above answer is not correct! The correct way to solve this is to look at the ratio of the sides as these are similar triangles. We are told that AC = 4 and AE = 7. That means that the side AC has been multiplied by 7/4 in order to become the length AE. Because these are similar trianges, all the sides must be multiplied by the same amount - therefore the side AD is equal to the length of AB multiplied by 7/4. Because we are given the side AD and need to find AB, we simply run the process in reverse like so:
If AD = 7/4 x AB:
AB = 4/7 x AD
AB = 4/7 x 10
AB = 40/7 (5.71 as a decimal)
Hope I helped :))

Answer:

The length of AB is 1 3/7 .

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