Answer:
4.8 inches
Step-by-step explanation:
<em>See comment for complete question</em>
Represent the larger triangle with 1 and the smaller with 2.
So, we have:
-- height of 1
Required
Determine H2 --- Height of 2
To do this we apply dilation formula.
In this case:
Substitute 6 for H1 and 0.8 for Scale Factor
Hence, the height of the smaller triangle is 4.8 inches
We proved that formula using the trigonometry relations sin3A + sinA = 4sinAcos^2A.
In the given question,
We have to prove the formula sin 3A+sin A = 4sinAcos^2A
The given expression is sin 3A+sin A = 4sinAcos^2A
To prove the formula we take the left side terms to the right side terms
The left side is sin 3A+sin A.
As we know that sin 3A = 3sinA − 4sin^3A
To solve the left side we put the value of sin 3A in sin 3A+sin A.
=sin 3A+sin A
=3sinA − 4sin^3A+sin A
Simplifying
= (3sinA+sin A) − 4sin^3A
= 4sinA − 4sin^3A
Taking 4sinA common from both terms
= 4sinA(1 − sin^2A)
As we know that cos^2A=1 − sin^2A. So
= 4sinAcos^2A
We proved the right hand side.
To learn more about formula of trigonometry terms link is here
brainly.com/question/15270423
#SPJ1
The expression for finding the amount of money earned on interest is
where
P = principal (money you started with)
r = rate (in decimal form)
n = number of times compounded per year
t = time (in years)
In this case:
P = 3000
r = 0.02 (because 2% in decimal form is 0.02)
n = 1 (because it is compounded once every year)
t = 16 (because she got the money when she was 2 and we are calculating it for when she turns 18, 16 years later)
So, you plug it in:
So, the answer is (1) <span>3000(1 + 0.02)^16</span>
Answer:
25
Step-by-step explanation:
You have is circled plus 25 is 5 and 5 multiplied and 5 is a prime number.
