Answer:

Step-by-step explanation:
Hi there!
The two angles given are opposite angles, meaning that they are angles opposite of each other at an intersection.
Opposite angles are always equal:

Combine like terms:

Divide both sides by 6 to isolate <em>x</em>:

I hope this helps!
Answer:
90 inches
Step-by-step explanation:
The formula for volume is LxWxH so you just gotta do 5x6x3
which is 90.
The original volume equation looks like this: V = 1/3 * h * (x^2)
After the side is reduced by 0.002, the new volume would look like V1 = 1/3 * h
* (x-0.002) ^ 2
Then we have:
V-V1 = 1/3*h*(x^2) - 1/3*h*(x – 0.002) ^2
= 1/3 * h *(x^2 - (x – 0.002) ^2)
= 1/3 * h * (0.004x - 0.00004)
The rate of decreasing is computed by:
(V-V1)/V * 100% = [1/3 * h *(0.004x - 0.00004)] / [1/3 * h * (x ^ 2)] *
100% this would be equal to (0.004x - 0.00004) / (x^2) * 100%
So replace x by 200, you’ll get:
(0.004(200) - 0.00004) / (200^2) * 100%
= 0.001999% is the rate of decreasing.
The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.
Step-by-step explanation:
The given is,
A single deposit amount - $ 2700
APR - 4.5%
( Compounded monthly )
Period - 7 years
Step:1
Formula to find future amount with an APR compounded monthly,
.......................(1)
Where, A - Future amount
P - Initial deposit
r - Interest rate
n - Number of compounding in a year
t - No.of years
From given,
P = $ 2700
r = 4.5%
n = 12 (∵ For monthly n becomes 12 )
t = 7 years
Equation (1) becomes,



A = $3697.52
Result:
The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.
What type of prism? triangular? Rectangular?