How does tripling the side lengths of a right triangle affect its area?)

Answers

Answer 1

Answer: The area of the triangle will then be 9 times as great.

The formula of the area of a triangle is 1/2bh, so if the base has been tripled and the height has been tripled, you're essentially multiplying 3 to the original equation twice (3 x 3 = 9).

Answer 2

Answer:

Answer:

The area would increase 6 times

Explanation:

The area of the triangle can be calculated as follows:

area = $(1)/(2) * base * height$

Tripling the side lengths of a right triangle would mean that:

new base = 3 * base

new height = 3 * height

Substitute with the new values in the equation:

new area = $(1)/(2) * 3 * base * 3 * height$

new area = $6 ((1)/(2) * base * height)$

Comparing the new area with the original one, we can conclude that by tripling the side lengths of the right triangle, the area of the triangle will increase 6 times.

Hope this helps :)

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1.A cube has side lengths of 15 inches, what is the surface area and volume of the cube? 2. A cube has side lengths of 8 inches, what is the surface area and volume of the cube?Show ur work plz.

Answers

Answer:

Cube 1: 3375 cubed inches, 1350 inches squared.

Cube 2: 512 cubed inches, 384 inches squared.

Step-by-step explanation:

Formula for Volume of a Cube: $V=s^3\n$ (s - side length)

Formula for Surface Area of a Cube: $SA=6s^2$ (s- side length)

For Cube 1:

The side length's 15 inches.

Find the volume:

$V=15^3\n\rightarrow 15*15*15=3375\n\boxed {V=3375}$

The volume of cube one is 3375in³.

Find the surface area:

$SA=6(15)^2\n\rightarrow 15^2 = 225\nSA = 6 * 225\n\boxed {SA=1350}$

The surface area of cube 1 is 1350in².

For Cube 2:

The side length's 8 inches.

Find the volume:

$V=8^3\n\rightarrow 8*8*8= 512\n\boxed {V=512}$

The volume of cube two is 512in³.

Find the surface area:

$SA=6(8)^2\n\rightarrow 8^2=64\nSA=6*64\n\boxed {SA=384}$

The surface area of cube 2 is 384in².

Brainilest Appreciated.

Final answer:

The surface area of a cube with side lengths of 15 inches is 1350 square inches and its volume is 3375 cubic inches.

Explanation:

To find the surface area of a cube, you need to find the area of each face and then add them up. In this case, since all sides of the cube have the same length, you can use the formula: surface area = 6 * $(side length)^2$ . For a cube with side lengths of 15 inches, the surface area would be 6 * $(15 inches)^2$ = 6 * 225 square inches = 1350 square inches.

To find the volume of a cube, you need to multiply the length, width, and height. In this case, since all sides of the cube have the same length, you can use the formula: volume = $(side length)^3$ . For a cube with side lengths of 15 inches, the volume would be $(15 inches)^3$ = 3375 cubic inches.

Now, for a cube of side length 8 inches: for the surface area using the first formula, we get 6*(8 inches)² = 384 square inches. Using the volume formula, we get (8 inches)³ = 512 cubic inches.

Learn more about Surface area and volume of cubes here:

brainly.com/question/16402037

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What is the formulae of a closed cylinder

Answers

Answer:

Step-by-step explanation:

Surface area is 2(πr²) + 2πrh. The first includes the top and bottom; the second is the area of lateral sides of the cylinder (radius r and height h).

The volume of this cylinder is V = πr²h.

Answer:

2 pi r square + pi dh

Step-by-step explanation:

2 pi r square + pi dh

During the summer, Andrew worked for 6 days each week. He worked 8 hours each day. In a week, he earned $360. How much was he paid for each hour of work?

Its 2 steps btw. post the answer below thx 4 the answer its 23 points worth!!! I will give u a thanks and follow u thx again!! :) :D

Answers

6 days each week and 8 hours each day so total hours = (6x8) = 48 hours.

he earned $360 in a week it means he earn that much money working 48 hours so he paid in one hour is (360/48) = $7.5 (ans)

$7.50 because 6x8 equals 48 and 360 divided by 360 equals $7.50

Three coins, a quarter, nickel and penny, are tossed. What is the probability that all three coins will show heads. Show in an organized list.

Answers

Since all of the coins only have 2 sides, heads or tails, the equation will be: 1/2 * 1/2 * 1/2 = Answer. Multiply the probability of getting a head for 1 coin by 3 since there are 3 coins. The probability of having all three heads will be 1/8.

The students who went to summer camp voted for there favorite activities how many more students voted Viking than for fishing 21 biking who voted 9 fishing people

Answers

Simply subtract 21 from 9.

Your answer is 12 :)

Just 21 take away 9 and the answer is twelve.

What is the circumference of a circle with a radius of 2.5 meters?A.
15.7 meters

B.
19.63 meters

C.
78.5 meters

D.
81 meters

Answers

Answer: A.15.7 meters

Step-by-step explanation:

The answer is A. 15.7 meters

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A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 6 centimeters. What is the radius?