Answer:
get stuff out of parentheses solve obvious problems, solve x
Answer: x-6
Explanation: x^2 is a DOTS, or difference of two squares. 36 is a perfect square and x^2 is a perfect square, and you are finding the difference. Therefore, you can do (x+6)(x-6). This works with any number. If there was x^2-16, it could be factored to (x+4)(x-4)
Answer: The seasonal relatives is calculated are as follows:
Step-by-step explanation:
Given that,
restaurant only open from Wednesday to Saturday,
- 29 percent of its business on Friday
- 31 percent on Saturday night
- 21 percent on Thursday night.
∴ The remaining 19% of its business he does on Wednesday
Now, suppose that total production of sales in a given week be 'y'
So, average sales in a week = ![\frac{y}{4}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B4%7D)
If we assume that y = 1
hence, average sales in a week = ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
= 0.25
Now, we have to calculate the seasonal relatives,
that is,
= ![\frac{Sales in a given day}{average sales in a week}](https://tex.z-dn.net/?f=%5Cfrac%7BSales%20in%20a%20given%20day%7D%7Baverage%20sales%20in%20a%20week%7D)
Wednesday:
= ![\frac{0.19}{0.25}](https://tex.z-dn.net/?f=%5Cfrac%7B0.19%7D%7B0.25%7D)
= 0.76
Thursday:
= ![\frac{0.21}{0.25}](https://tex.z-dn.net/?f=%5Cfrac%7B0.21%7D%7B0.25%7D)
= 0.84
Friday:
= ![\frac{0.29}{0.25}](https://tex.z-dn.net/?f=%5Cfrac%7B0.29%7D%7B0.25%7D)
= 1.16
Saturday:
= ![\frac{0.31}{0.25}](https://tex.z-dn.net/?f=%5Cfrac%7B0.31%7D%7B0.25%7D)
= 1.24
Answer:
∠C=90°
∠A=67°
∠B=23°
Step-by-step explanation:
For angle C:
Thales' Theorem states that an angle inscribed across a circle's diameter is always a right angle.
Therefore, since AB is the diameter(hypotenuse) then angle C is the right angle. (90°)
For Angle A:
The measure of arc BC= 134 degrees. We can just use a formula for an inscribed triangle. ∠A = 1/2 (mBC)
∠A= (1/2)134
∠A= 77°
For angle B:
All triangle angles all add up to 180. We can just subtract angles A and C from 180°:
∠B = 180-(90+67)
∠B = 23°
A 100 m
B 900m
C -5,100m
D- 8,800