Answer:
1. 39
2. 15
3.329
4. 16
5. 300
Step-by-step explanation:
Just divide the first two numbers and then multiply the quotient by the last number. You'll be ok, you've got this, keep your head up!
1. 52/4 = 13 and 13 x 3 = 39
2. 45/9 = 5 and 5 x 3 = 15
3. 470/10 = 47 and 47 x 7 = 329
4. 10/2.5 = 4 and 4 x 4 = 16
5. 125/2.5 = 50 and 50 x 6 = 300
Answer:
A = 9r^2
Step-by-step explanation:
r=√A/3
multiply both sides by 3
3r = √A
Square both sides
3^2 * r^2 = A
9r^2 = A
We must set the two expressions to be equal:
216t + 18 = 362t + 8
Subtract 216t from both sides:
18 = 146t + 8
Subtract 8 from both sides:
10=146t
Divide both sides by 146:
t = 10/146 = 5/73
Answer:
132
Step-by-step explanation:
We have a right triangle with
a = one leg = 28
b = other leg = 21
c = hypotenuse = 5x
use the pythagorean theorem (a^2+b^2 = c^2) and solve for x
a^2+b^2 = c^2
28^2+21^2 = (5x)^2
784+441 = 25x^2
1225 = 25x^2
25x^2 = 1225
(25x^2)/25 = 1225/25
x^2 = 49
sqrt(x^2) = sqrt(49)
|x| = 7
x = 7 or x = -7
Since the hypotenuse has length 5x meters, this means
5x = 5*7 = 35
or
5x = 5(-7) = -35
Toss out the negative length as it makes no sense.
The only value of x is x = 7
Therefore the final answer is x = 7
