Given:
radius of the pendulum = 6 feet
arc length = 14.13 feet
time = 3 seconds
Required:
What is the angular velocity?
Solution:
To compute for the angular velocity, we can use the formula:
w = s/rt
where,
w is the angular velocity
s is the length of the arc
r is the radius of a circle or pendulum
t is the time
substituting the values,
w = 14.13 feet / 6 feet × 3 seconds
w = 0.785 per seconds
Answer:
-3
Step-by-step explanation:
The rate of change is equal to the slope. In this slope intercept form (y=mx+b) m is the slope. Therefore m=-3 and that is the rate of change.
Triangle AEB and triangle CED (second option)
Answer:
1. Subtract 18 from both sides to get the equation set to 0:
x2 + 7x - 18 = 0
Now factor. Given the negative sign in front of the 18, you will have (x + ) (x - ) as your factors, with the larger one being positive. Now, which factors of 18 can be combined to get a result of 7? I'll leave that for you.
2- 2.3 Solve : p-7 = 0
Add 7 to both sides of the equation :
p = 7
3-Final result :
(m - 1) • (m - 8)
4-Step by step solution :
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring x2-16x+63
The first term is, x2 its coefficient is 1 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is +63
Step-1 : Multiply the coefficient of the first term by the constant 1 • 63 = 63
Step-2 : Find two factors of 63 whose sum equals the coefficient of the middle term, which is -16 .
-63 + -1 = -64
-21 + -3 = -24
-9 + -7 = -16 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -7
x2 - 9x - 7x - 63
Okay, so how I solve this answer is by first figuring out how many people didn't know the name.
So, If 80% of 1,000 didn't know the name that means 800 people did not know the name.
(1000 x .8 = 800)
Then you take the total number of people, 1000, minus the people who did not know the name, 800, and you get the total number of people who did know the name which is;
(1000-800=200)
200 people knew the name of the congressman.
