Remember that

So if
and
, then we know
.
Then use the Pythagorean identity to solve for cosine:

Answer: 12,150 m²
<u>Step-by-step explanation:</u>
The ratio is 3:2 which means
Length (L) = 3x
Width (w) = 2x
Perimeter (P) = 2L + 2w
450 = 2(3x) + 2(2x)
450 = 6x + 4x
450 = 10x
45 = x
L = 3x w = 2x
= 3(45) = 2(45)
= 135 = 90
Area (A) = L × w
= 135 × 90
= 12,150
Answer:
c
Step-by-step explanation:
That does not make any since...
Answer:
Option A = 7.5 cups
Step-by-step explanation:
Given : Suppose you're making a soup that uses 5 cups of chicken broth and
teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need
teaspoons of corn starch.
To find : How much broth do you need?
Solution :
A soup that uses 5 cups of chicken broth and
teaspoons of corn starch for 8 servings.
i.e. 5 cups +
teaspoon = 8 servings ......(1)
You need to make 12 servings of the soup, so you'll need 
i.e. x cups +
teaspoon = 12 servings ........(2)
So, First we find the ratio
Ratio is 
So to equal the ratio multiply (1) by 
cups +
teaspoon =
servings
cups +
teaspoon = 12 servings
On comparing with (2),
The value of x is
.
Therefore, The broth do we need is
cups.
So, Option A is correct.