<h2>19.</h2><h3>Given</h3>
- window width and height are in proportion to building width and height
- window width and height are 11 in and 18 in, respectively
- building height is 108 ft
<h3>Find</h3>
<h3>Solution</h3>
The proportional relation can be written as
... (building width)/(building height) = (window width)/(window height)
Multiplying by (building height) gives
... (building width) = (building heigh) × (window width)/(window height)
... (building width) = 108 ft × (11 in)/(18 in)
... building width = 66 ft
<h2>21.</h2><h3>Given</h3>
- map distance = 6.75 in
- map scale = 1.5 in : 5 mi
<h3>Find</h3>
<h3>Solution</h3>
The distances are in proportion, so
... (map distance) : (actual distance) = 1.5 in : 5 mi
Multiplying by (5 mi)/(1.5 in)×(actual distance), we have
... (5 mi)/(1.5 in)×(6.75 in) = (actual distance) = 22.5 mi
Answer:
x<8
Step-by-step explanation:
2x+5>3x-3
2x+8>3x
8>x
Answer:
x=12
Step-by-step explanation:
This is a right triangle, so the Pythagorean theorem can be used. The Pythagorean theorem states that 
where C is the hypotenuse and a and b are legs. In this question, we are given a and C. So, plugin 13 for C and 5 for a and solve for b. Once you rearrange the equation you get, 
. Next, solve what is under the root to get, 
. Finally, square root 144 for the final answer b=12.
Answer:
n > -2 or n < -3
Step-by-step explanation:
|2n+5| > 1
We have two solutions one positive and one negative. Remember to flip the inequality symbol for the negative
2n+5 > 1 or 2n+5 < -1
Subtract 5 from each side
2n+5-5 > 1-5 2n+5 -5 < -1 -5
2n >-4 2n < -6
Divide by 2
2n/2 > -4/2 2n/2 < -6/2
n > -2 or n < -3
Answer:
1y157
Step-by-step explanation:
