Answer:
(x+4) (x^2-3)
Step-by-step explanation:
Hope this helps
Answer:
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z ----> the scale factor
x ---> the volume of the model of a swimming pool
y ---> the volume of the actual swimming pool
so
we have
substitute
solve for x
There are several information's of immense importance in the problem. Based on these information's the answer to the question can be easily reached. The only thing that has to be kept in mind is the calculation part, otherwise it is a simple problem.
Now it is given that:
A large chocolate shake takes 8/9 of a pint of milk.
Then
Amount of milk required to make medium shake = (8/9) * (1/7) of a pint
= 8/63 of a pint
Then it can be said that for making a medium chocolate shake , 8/63 of a pint of milk is required. This is the simplest form of the fraction and it cannot be expressed as a mixed number since the denominator is higher than the numerator.
Answer:
Formula
A = 1/2 b * h
Substitute
Area = 60 in^2
b = x
h = 2x - 1
60= 1/2 * x * (2x - 1)
Solve
60 = 1/2 * x (2x - 1) Multiply by 2
60 * 2 = x(2x - 1)
120 = x (2x - 1) Remove the brackets.
120 = 2x^2 - x Subtract 120 from both sides.
2x^2 - x - 120 = 0 This factors.
(2x + 15)(x - 8) = 0
Solve for x
2x + 15 = 0
2x = - 15
x = -15/2
x = - 7.5 a negative measurement is useless. Discard this answer.
x - 8 = 0
x = 8
Area (Check)
base = 8
height = 16 - 1 = 15
Area = 1/2 * 8 * 15 = 60 as it should
Answer
Use Area = 1/2 * b * h to find the base and the height.Step-by-step explanation:
