Answer:
Step-by-step explanation:
The dimensions must be the same
10 yards = 10 × 3 feet = 30 feet
ratio = 
=
Answer:
42
Step-by-step explanation:
√2x-3-3=6
√2x-3=6+3
√2x-3=9
2x-3=9^2
2x=81+3
X=84/2
X=42
So value of X is 42
Answer:
Step-by-step explanation:
Area is the product of two dimensions.
<u>If the scale factor is 1/4, the ratio of the areas will be: </u>
The smaller prism has a surface are of 45 cm².
<u>The larger prism has a surface area:</u>
Answer:
x = 10 or x = 2
Step-by-step explanation:
Solve for x:
x^2 - 12 x + 20 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 20 from both sides:
x^2 - 12 x = -20
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 36 to both sides:
x^2 - 12 x + 36 = 16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 6)^2 = 16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 6 = 4 or x - 6 = -4
Hint: | Look at the first equation: Solve for x.
Add 6 to both sides:
x = 10 or x - 6 = -4
Hint: | Look at the second equation: Solve for x.
Add 6 to both sides:
Answer: x = 10 or x = 2
