Answer:
C. b=1053
Step-by-step explanation:
Isolate b:
- 0.25b+168.75=432
- Subtract 168, 0.25b=263.25
- Divide by 0.25, b=1053
ANSWER
EXPLANATION
We want to add the two numbers:
0.82 + 0.35
Using the long addition method, we have:
0 . 8 2
+ 0 . 3 5
Start on the right hand side:
Applying the definition of a linear pair, m∠TOS = 52°
<em>Recall:</em>
Linear pair are two angles on a straight line whose sum equals 180°.
Given:
- m∠TOU = 128°
- m∠SOV = (4x + 8)°
m∠TOU + m∠TOS = 180° (linear pair)
128° + m∠TOS = 180°
- Subtract 128° from both sides of the equation
m∠TOS = 180° - 128°
m∠TOS = 52°
Thus, applying the definition of linear pair, m∠TOS = 52°
Learn more about linear pair on:
brainly.com/question/3768841
Answer:
140
I am not completely sure but what i did was
56/? = 40/100
56*100
5600/40
140
Answer:
0.375 feet-lb
Step-by-step explanation:
We have been given that the work required to stretch a spring 2 ft beyond its natural length is 6 ft-lb. We are asked to find the work needed to stretch the spring 6 in. beyond its natural length.
We can represent our given information as:

We will use Hooke's Law to solve our given problem.

Substituting this value in our integral, we will get:

Using power rule, we will get:
![6=\left[ \frac{kx^2}{2} \right ]^2_0](https://tex.z-dn.net/?f=6%3D%5Cleft%5B%20%5Cfrac%7Bkx%5E2%7D%7B2%7D%20%5Cright%20%5D%5E2_0)


We know that 6 inches is equal to 0.5 feet.
Work needed to stretch it beyond 6 inches beyond its natural length would be 
Using power rule, we will get:
![\int\limits^{0.5}_0 {3x} \, dx = \left [\frac{3x^2}{2}\right]^{0.5}_0](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B0.5%7D_0%20%7B3x%7D%20%5C%2C%20dx%20%3D%20%5Cleft%20%5B%5Cfrac%7B3x%5E2%7D%7B2%7D%5Cright%5D%5E%7B0.5%7D_0)

Therefore, 0.375 feet-lb work is needed to stretch it 6 in. beyond its natural length.