Answer:
4120 feets
Step-by-step explanation:
Given that:
Starting elevation = 0 feets
Elevation gained on first day = 2150 feets
Total elevation at the end of day 1 = 0 + 2150 = 2150 feets
Elevation gained on second day = 1970 feets
Total elevation at the end of day 2 = 2150 + 1970 = 4120 feets
Elevation at the end of 3 rd day = 0 feets
Hence, elevation lost on day 3 ;
(4120 - 0) = 4120 feets
21
1 glass holds 1/6 of a bottle then 6 glasses hold 1 glass bottle water.
so, 1 bottle can give 6 glasses of water
then
3
(
1
2
)
or
7
2
bottle can give
6
⋅
7
2
glasses of water , that is 21 glasses.
Answer link
If a pack of paper costs 3.75 including tax, and there is a $20 budget, then the equation to find out the answer would be 3.75p is greater or equal to $20. So the answer would be B. 3.75 would be multiplied by the tax and then applied up to $20.
With this problem, you should first look at the equation for the area of a trapezoid. That is A = (1/2)(B1 + B2)*H. We know what A, B1, and B2 are so you just need to solve for height. So, based on the equation:
![3x^{3} -16 x^{2} + 31x-20 = (1/2)(x+5+ x^{2} -5x)*h](https://tex.z-dn.net/?f=%203x%5E%7B3%7D%20-16%20x%5E%7B2%7D%20%2B%2031x-20%20%3D%20%281%2F2%29%28x%2B5%2B%20x%5E%7B2%7D%20-5x%29%2Ah)
Next, you would have:
![6x^{3} -32x^{2} +62x-40=(x^{2}-4x+5)*h](https://tex.z-dn.net/?f=6x%5E%7B3%7D%20-32x%5E%7B2%7D%20%2B62x-40%3D%28x%5E%7B2%7D-4x%2B5%29%2Ah%20)
Next solve for h by dividing the polynomials like so:
![h = (6 x^{3}-32 x^{2} +62x-40)/( x^{2} -4x+5)](https://tex.z-dn.net/?f=h%20%3D%20%286%20x%5E%7B3%7D-32%20x%5E%7B2%7D%20%2B62x-40%29%2F%28%20x%5E%7B2%7D%20-4x%2B5%29%20)
Using long division you get:
Answer:
∠1=160° and ∠2=20°
Step-by-step explanation:
Let ∠1 = x
∠2 = y
as these two angles are supplementary their sum is 180
that x+y=180 ----(A)
Also given that ∠1 is 20 degree less than nine times the size of ∠2.
Hence
x=9y-20
putting value of x in A and solving for y
9y-20+y=180
10y=180+20
10y=200
y=10
Putting this y in A
x+10=180
x=160