Answer:
Step-by-step explanation:
First, let's look at the largest triangle (two smaller triangles are combined) to solve for 
. Since the sum of the angles in a triangle adds up to 
, we can write the equation:
Looking at the smaller triangle on the left, 
(exterior angle) is the sum of the two opposite interior angles of the triangle on the left:
Since 
is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:
Hope this helps :)
Answer and explanation:
They are not equivalent because if we simplify the second expression, the result isn't the same:
7(y×b)+3b
= 7(yb)+3b
=7yb + 3b
Therefore 7yb+3b≠7y+7b+3y
And even though you meant
7(y+b)+3b
=7y+7b+3b
=7y+10b
7y+10b≠10y+7b
Answer:
125.8983
Step-by-step explanation:
Use the formula for volume of a cone: v= (1/3)(3.14)(radius squared)(height) so v = (1/3)(3.14)(20.25)(6) = 125.8983
Answer:
an=a1(r)^(n-1)
a1=first erm
r=common ratio
firs term is -5
we times each term by 5 to get next term so r=5
is the explicit formula
hope this helped
Answer:
5 years
Step-by-step explanation:
We are given;
- Initial value of the car = $12,500
- Rate of Depreciation = 13% per year
- New value (after depreciation) = $6,250 (half the initial value)
We are required to determine the time taken for the value of the car to depreciate to half the original value.
- We need to know the depreciation formula;
- New value = Initial value ( 1 - r/100)^n
Therefore;
$6,250 = $12,500(1 - r/100)^n
0.5 = (1 - 13/100)^n
0.5 = 0.87^n
Introducing log on both sides;
log 0.5 = n log 0.87
Therefore;
n = log 0.5 ÷ log 0.87
= 4.977
= 5 years
Therefore, it takes 5 years for the value of the car to depreciate to half the initial value.
