Answer:
5 3/4 cups of cheese used for the pizza
Step-by-step explanation:
7 3/4 = 31/4 cups cheese to start
Two cups of cheese remaining. 2 = 8/4 cups
31/4 cups - 8/4 cups = 23/4 cups used for the pizza.
23/4 = 5 3/4 cups of cheese used for the pizza
Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
ΔABC is a right triangle.
Cosine and Sine ratios from the given triangle will be,
SinA = ![\frac{\text{Opposite side}}{Hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7BHypotenuse%7D)
= ![\frac{a}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bc%7D)
CosB = ![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAdjacent%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
= ![\frac{a}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bc%7D)
Therefore, both the ratios (Sine and Cosine) will be equal as ![\frac{a}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bc%7D)
Option (B) will be the correct option.
Answer:
y+3x=5
Step-by-step explanation:
Answer:
![\large\boxed{y=0.470793x+2.13908}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D0.470793x%2B2.13908%7D)
Step-by-step explanation:
The slope intercept form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
From your picture we have:
![m=0.470793](https://tex.z-dn.net/?f=m%3D0.470793)
and
![b=2.13908](https://tex.z-dn.net/?f=b%3D2.13908)
Substitute:
![y=0.470793x+2.13908](https://tex.z-dn.net/?f=y%3D0.470793x%2B2.13908)
In the future, would you please post just one or two problems at a time. Be fair to others who also want help.
#5: <span>(-4)^8/(-4)^4 can be expressed more clearly as (-4)^8
---------
(-4^4)
and this can be reduced to (-4)^4 by subtracting the exponent 4 from the
exponent 8.
furthermore, because of the even exponent, (-4)^4 can be written as 4^4.
Note that 4^4 = (4^2)^2 = 16^2 = 256 (answer)</span>