Answer:
Step-by-step explanation:
We have the length of AC which is opposite angle B; we also have the length of the hypotenuse. We will use trig here to solve for angle B. The sin ratio is the one that fits.
sin(B) = side opposite / hypotenuse:
so
sin(B) = .9411764706
Now we will use the 2nd button on our calculators. This will give us the missing angle value. Press 2nd then sin and you will see on your screen:
![sin^{-1 (](https://tex.z-dn.net/?f=sin%5E%7B-1%20%28)
Enter that decimal after the open parenthesis and hit "enter" to get
B = 70.25 or 70°
Given:
Number calories in a 6-inch pizza = 640 calories
For the pizza of 6 inch
![A=\pi(3)^2=9\pi](https://tex.z-dn.net/?f=A%3D%5Cpi%283%29%5E2%3D9%5Cpi)
For the pizza of 12 inch
![A=\pi(6)^2=36\pi](https://tex.z-dn.net/?f=A%3D%5Cpi%286%29%5E2%3D36%5Cpi)
Number calories in a 6-inch pizza = 640 calories, therefore:
![\frac{A_{6\text{ inch}}}{A_{12\text{ inch}}}=\frac{640}{x}](https://tex.z-dn.net/?f=%5Cfrac%7BA_%7B6%5Ctext%7B%20inch%7D%7D%7D%7BA_%7B12%5Ctext%7B%20inch%7D%7D%7D%3D%5Cfrac%7B640%7D%7Bx%7D)
Substitute:
![\begin{gathered} \frac{9\pi}{36\pi}=\frac{640}{x} \\ Simplify \\ \frac{1}{4}=\frac{640}{x} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B9%5Cpi%7D%7B36%5Cpi%7D%3D%5Cfrac%7B640%7D%7Bx%7D%20%5C%5C%20Simplify%20%5C%5C%20%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B640%7D%7Bx%7D%20%5Cend%7Bgathered%7D)
And solve for x:
![\begin{gathered} 1\cdot x=4\cdot640 \\ x=2560 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%201%5Ccdot%20x%3D4%5Ccdot640%20%5C%5C%20x%3D2560%20%5Cend%7Bgathered%7D)
Now, Estimate the number of calories in one slice of a 12 inch pizza:
![\frac{2560}{8}=320](https://tex.z-dn.net/?f=%5Cfrac%7B2560%7D%7B8%7D%3D320)
Answer: 320 calories
Answer:
The graph is included below as an attachment.
The slope is the ratio of the change in the cost to the change of the amount of deli meat. The magnitude means that there is a change of 3.5 units in the cost per each pound of change of deli meat.
Step-by-step explanation:
The following linear equation represents the cost (
), measured in dollars, as a function of the amount of deli meat (
), measured in pounds:
(1)
The graph is included below as an attachment.
The slope is the ratio of the change in the cost to the change of the amount of deli meat. The magnitude means that there is a change of 3.5 units in the cost per each pound of change of deli meat.
Answer:
x = 134
Step-by-step explanation:
Given that,
Five angles of a hexagon measures 119, 129,104,139 and 95 degrees.
We know that,
The sum of interior angles of a hexagon must equal 720 degrees.
So,
119+129+104+139 +95+x = 720
Where
x is the sixth angle
So,
586+x=720
x = 720-586
x = 134
So, the sixth angle is equal to 134.
The answer is 216
Step by step
8+7*8+10*7+6*7
48+56+70+42
=216