Answer:
You'll need 18 cups of chicken broth!
Step-by-step explanation:
You are using a ratio of 1/4 cup (lentils) to 2 cup (broth). Therefore, you need to find the relationship between lentil and broth.
- In order to get from 1/4 to 2, you multiply by 8. (1/4 * 8 = 2)
- Therefore, the common relationship is multiplying the lentil amount by 8
- So, 2 1/4 * 8 = 18
Therefore, 18 cups are needed :D
Answer: x
<u>Step-by-step explanation:</u>
g(x) = 4x + 10 f(x) =
to find g(f(x)), replace "x" in the g(x) equation with what f(x) equals. Another way of writing g(f(x)) for this problem is: g(
).
g(f(x)) = 4
+ 10
= x - 10 + 10
= x
The swimmer is 160 feet from the base of the platform
The diagram representing this illustration is shown below
Braylen's height = 6 feet
The platform's height = 8 feet
Total height = 8 + 6
Total height = 14 feet
Angle of depression, θ = 5°
Let the distance between the swimmer and the base of the platform be x
The value of x is calculated using the trigonometric identity below
![tan \theta = \frac{Opposite}{Adjacent} \\\\tan 5 = \frac{14}{x} \\\\\\0.0875 = \frac{14}{x} \\\\\\0.0875x = 14\\\\\\x = \frac{14}{0.0875} \\\\\\x = 160](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%5Cfrac%7BOpposite%7D%7BAdjacent%7D%20%5C%5C%5C%5Ctan%205%20%3D%20%5Cfrac%7B14%7D%7Bx%7D%20%5C%5C%5C%5C%5C%5C0.0875%20%3D%20%5Cfrac%7B14%7D%7Bx%7D%20%5C%5C%5C%5C%5C%5C0.0875x%20%3D%2014%5C%5C%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B14%7D%7B0.0875%7D%20%5C%5C%5C%5C%5C%5Cx%20%3D%20160)
The swimmer is 160 feet from the base of the platform
Learn more here: brainly.com/question/23497407
times by a on both sides
a(a+8)= -5
expand brackets
a^2 + 8a = -5
minus 5 on both sides to set equal to 0
a^2 + 8a -5 = 0
use quadratic formula to get 2 solutions
-
![\frac{ - (8) + or - \sqrt{ {8}^{2} - 4(1)(5) } }{2(1)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%20%288%29%20%2B%20or%20-%20%20%5Csqrt%7B%20%7B8%7D%5E%7B2%7D%20-%204%281%29%285%29%20%7D%20%7D%7B2%281%29%7D%20)
type into calculator. one solution from + other from -