Find AC using Pythagorean theorem
6^2 + 8^2 = AC^2
36 + 64 = AC^2
100 = AC^2
10 = AC
6+8+10 = 24
24/60 = 2/5
10/x = 2/5
50 = 2x
25 = x
To solve this problem, we are going to use the percent proportion, a/b = p/100, where a is the part of a number b, the whole, and p is the percentage out of 100.
When we fill in our known integers into this equation, we get
21.12 / b = 25.6 / 100
Next, to simplify this equation, we should use cross products (means - extremes products theorem). This means multiplying the numerator of one fraction and the denominator of the other fraction and setting them equal to one another.
21.12(100)=25.6(b)
When we multiply, you get
2112 = 25.6b
Finally, we divide both sides by 25.6, to get our variable b, alone, and without a coefficient.
82.5 = b
Therefore, 25.6% of the number 82.5 is 21.12.
Nick = n
Ray = r
n=3r-30
n+r=74
3r-30+r=74
4r-30=74
4r=104
r=26
n=26*3-30
n=78-30
n=48
Nick is 48 years old and Ray is 26 years old
Hope this helps.
Answer:
The total length is 1123 feet.
a) if the model is 30 inches long, the first thing we need to do is write inches in feets, so 1 feet is equivalent to 12 inches.
so 30 inches are 30/12 = 2.5 feets.
the scale is the ratio between the feets in the the two lengths.
1123/2.5 = 449.2
so the scale is 1:449.2
so each feet in the model is equivalent to 449.2 feets in the enterprise.
b) if the model is 2 feet long, then:
1123/2 = 561.5
the scale is 1:561.5
so each feet in the model is equivalent to 561.5 feets in the enterprise.
Answer:
2.8409091 miles
Step-by-step explanation:
