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3 years ago

The surface area of a solid is 10 square feet. The dimensions of a similar solid are

Mathematics

1 answer:

maxonik [38]3 years ago

6 0

Answer:

90 ft²

Step-by-step explanation:

Given the sides of similar figures in the ratio a : b, then

ratio of areas = a² : b²

Here ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

That is the surface area of the new solid is 9 times the first

SA = 9 × 10 = 90 ft²

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| 7 + m | - 4 > 8

cestrela7 [59]

Answer:

m > 5 or m < -19

Step-by-step explanation:

We are given the Inequality:

$\displaystyle \large{ |7 + m| - 4 > 8}$

First, add both sides by 4.

$\displaystyle \large{ |7 + m| - 4 + 4 > 8 + 4} \\ \displaystyle \large{ |7 + m| > 12}$

Absolute Value Property

$\displaystyle \large{ |a| = \sqrt{ {a}^{2} } }$

Given a = any expressions and b = any positive numbers, zero or any expressions.

$\displaystyle \large{ |a| = b \longrightarrow a = \pm b}$

From the Inequality, change > to equal

$\displaystyle \large{ 7 + m = \pm12}$

Subtract 7 both sides.

$\displaystyle \large{ 7 - 7 + m = \pm12 - 7} \\ \displaystyle \large{ m = \pm12 - 7}$

±12-7 can be 12-7 = 5 or -12-7 = -19

$\displaystyle \large{ m = 5, - 19}$

Refer to the attachment. The region is when the absolute value function is greater than constant function y = 12 or a blue horizontal line.

Since the absolute graph is above constant graph when x > 5 and x <-19.

Therefore,

$\displaystyle \large{ m > 5, m < - 19}$

3 0

3 years ago

7500 as a percentage ???????

madreJ [45]

X%=100
100%x%=7500/100
solution for 100 is what percent of 7500

3 0

3 years ago

Determine whether the. given value is a solution of the open sentence. 2w-5w+10;w=16

schepotkina [342]

16 is not the solution of the equation because if you replaced W with 16, you would end up with 27 = 26, which is false.

8 0

3 years ago

What is $16.50 x 7%

Alexus [3.1K]

Answer:

1.155

Step-by-step explanation:

4 0

4 years ago

Tom Thomas took tennis lessons. He traveled 12 miles one way at an average cost of $0.42 per mile. His racket cost $94, balls co

Rzqust [24]

Answer:

One Way Trip There = ($460.22)

There and Back Trip = ($465.26)

4 0

4 years ago