Here is what I got
I have to write 20 words so here they are
Answer:
15
Problem:
Given that a*b = 2ab - 3b. Determine 2*(3*5)
Step-by-step explanation:
First we find 3*5 using rule a*b = 2ab - 3b.
3*5=2(3)(5)-3(5)
3*5=30-15
3*5=15
Now we are left with 2*15 in which we will still use the rule a*b=2ab-3b.
2*15=2(2)(15)-3(15)
2*15=60-45
2*15=15
Therefore, 2*(3*5)=15.
Answer:
$5.40
Step-by-step explanation:
The word <em>percent</em> literally means "for each 100," and we can use this vocab fact to help us answer a question like "what is 1.8 <em>percent </em>of $300?" We have 1.8 <em>for each 100</em> in 300, and since there are 3 hundreds in 300, that means we're going to be counting 3 1.8s, which gets us 1.8 × 3 = 5.4. Since our unit is <em>dollars</em> this comes out to $5.40.
S= (pi times r times l) + (pi times radius squared)
Factor out the pi times r
S= (pi times r) l + r
Divide
S/(pi times r)= l + r
Find common denominator and subtract
(S- pi times r)/(pi times r) = l
The answer therefore is A
Answer:

Step-by-step explanation:
<u>Regular Hexagon</u>
For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.
We know that x is half the length of the side length of the hexagon. Thus

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

Now we have
, the height of the triangle y is easily found by

Solving for y

The value of z can be found by using


The area of the triangle is

The area of the hexagon is 12 times the area of the triangle, thus

