Answer:
K=14
Step-by-step explanation:
A=1/2*b*h
80=1/2*8*(6+k) multiply by 2 on both sides
160=8*(6+k) distribute by 8
160=48+8k subtract 48 from both sides
112=8k divide by 8
14=K
Answer: 
Step-by-step explanation:

Answer:
5.83 units
Step-by-step explanation:
See attached picture. You can use the Pythagorean Theorem. I added some lines to show the legs of a right triangle. AB is the hypotenuse.

Answer: 
Step-by-step explanation:
We have the following expression:

In order to work in a better way this expression, let's call
and
and rewrite:

Now, we know
. Let's apply it here:


Simplifying:

According these trigonometric identities, we have:


Then:

Writing again the actual values:

Finally:

Andriano's business will earn $1150 this month.
Step-by-step explanation:
Given,
Existing subscribers = 200
New subscriptions = 40
Cancelled subscriptions = 10
Total subscribers this month = Existing + New - Cancelled
Total subscribers this month = 200+40-10 = 230
Subscription fee per subscriber = $5
Revenue generated from 230 subscribers = 5*230 = $1150
Andriano's business will earn $1150 this month.
Keywords: addition, multiplication
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