<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
Let the prime number which does not repeat be
a, the prime number which repeats twice be
b, the prime number which repeats 3 times be
c.
Then the prime factorization of this number is
.
Let's find the prime factorization of 1000:
So let c= 5, b be a number such that b^2>2^3=8, for example let b = 3, and let a be any prime, for example 2
thus the number is
Answer: 2250
21 or 0.21 they are the same
Answer:
24.8
Step-by-step explanation:
180-117.6 = 62.4
62.4 = 2x + 12.8
- 12.8 -12.8
------------------------
49.6 = 2x
/2 /2
------------------------
x = 24.8
Answer
C) 325.41
Step by step explanation
The land-line telephone costs =$25.95
Utilities tax percentage = 4.5% = 4.5/100 = 0.045
Utility tax for amount $25.95 = 25.95*0.045
Utility tax = $1.17
The amount of telephone bill with tax = $25.95 + $1.17
= $27.12
There are 12 months in a year.
Telephone bill for a year = $27.12 * 12
= $325.44
Therefore, the nearest amount $325.41
You need to pay $325.41 as telephone bill for a year.
Thank you.