First add 25 to both sides of the inequality.
You get 4x < 150
Now divide both sides by 4.
You get x < 37.5
So x can be anything less than 37.5, such as 36, 35 or 34.
Answer:
13.3 ft
Step-by-step explanation:
We are being asked to find an unknown side length in a triangle with two given angles and the side between them. The law of sines is applicable, but we need to know the angle opposite the given side.
Angle M has a value that makes the sum of angles be 180°, so it is ...
∠M = 180° -61° -38° = 81°
The law of sines tells you the length of side MP is ...
MP = NP·sin(N)/sin(M) = (15 ft)·sin(61°)/sin(81°)
x = MP ≈ 13.3 ft
Answer:
Step-by-step explanation:
Approximate the integral 
by dividing the region 
with vertices (0,0),(4,0),(4,2) and (0,2) into eight equal squares.
Find the sum 
Since all are equal squares, so 
for every 
Thus, 
Evaluating the iterate integral ![\int\limits^4_0 \int\limits^2_0 {(x+y)} \, dydx=\int\limits^4_0 {[xy+\frac{y^2}{2} ]}\limits^2_0 \, dx =\int\limits^4_0 {[2x+2]}dx\\\\=[x^2+2x]\limits^4_0=24.](https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_0%20%5Cint%5Climits%5E2_0%20%7B%28x%2By%29%7D%20%5C%2C%20dydx%3D%5Cint%5Climits%5E4_0%20%7B%5Bxy%2B%5Cfrac%7By%5E2%7D%7B2%7D%20%5D%7D%5Climits%5E2_0%20%5C%2C%20dx%20%3D%5Cint%5Climits%5E4_0%20%7B%5B2x%2B2%5D%7Ddx%5C%5C%5C%5C%3D%5Bx%5E2%2B2x%5D%5Climits%5E4_0%3D24.)
Thus, 
Z = 106
x = 32
Z
180 - 74 because SSI
X
Set Z equal to equation because Alt. Int. Angles
X=13/12
1. Calculate
2.Swap the sides
3. Divide both sides
