Answer: 322
Step-by-step explanation:
23 students × 14 homework
=322 problems
The teacher will have to grade 322 problems
Answer:
Step-by-step explanation:
perimeter of a rectangle = twice the length plus twice the width
P = 2L + 2W equation 1 P = 86 ft
Given the length is seven feet more than the width
L = W + 7 equation 2
Substitute equation 2 into equation 1
P = 2(W+7) + 2W = 86 ft
2W +14 + 2W = 86 ft
4W = 86 - 14
W = 72 / 4
W = 18 feet
Answer:
![x\geq -8](https://tex.z-dn.net/?f=x%5Cgeq%20-8)
Step-by-step explanation:
![-9x+8\leq 80](https://tex.z-dn.net/?f=-9x%2B8%5Cleq%2080)
-8 -8
₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋
![\frac{-9x}{-9} \leq \frac{72}{-9}](https://tex.z-dn.net/?f=%5Cfrac%7B-9x%7D%7B-9%7D%20%5Cleq%20%5Cfrac%7B72%7D%7B-9%7D)
⇵
![x\geq -8](https://tex.z-dn.net/?f=x%5Cgeq%20-8)
The length of side c would be 8.
Step-by-step explanation:
Given that,
a = 4
b = 6
cosC = -1/4
If we are given two sides and angle, the law of Cosines can be used to find the third side:
![c^{2} = a^{2} + b^{2} - 2ab (cos(c))](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20-%202ab%20%28cos%28c%29%29)
By inserting the values in the formula, we get
![c^{2} = 16 + 36 + 12](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%2016%20%2B%2036%20%2B%2012)
![c^{2} = 64](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%2064)
![\sqrt{c^{2} } = \sqrt{64}](https://tex.z-dn.net/?f=%5Csqrt%7Bc%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B64%7D)
c = 8.
Therefore, the length of side c would be 8.
A cross section is the shape you get when you cut straight through an object Like a prism so
you will get a triangle example:
In geometry it is the shape made when a solid is cut through by a plane. The cross section of a circular cylinder is a circle or a cross section of a pyramid is a rectangle. A two dimensional figure like a rectangle has two dimensions length and width. A three dimensional figure like a building has three dimensions length width and height.