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umka2103 [35]
3 years ago
6

Pls help me guys! Thanks :D

Mathematics
2 answers:
kozerog [31]3 years ago
6 0
The top right is the answer. The base should be square with lengths of 8 and the height is 10.
koban [17]3 years ago
4 0
If you look at the bases, the top right shape is the correct one. The base is 8 x 8 and the height of the triangle is 10.
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Andrew has 56 candy bars. He gives 3/8 of them to his sister. How many candy bars does he give to his sister?
Katarina [22]

Answer:

21

Step-by-step explanation:

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2 years ago
Decide which title best describes all of the expressions in each column of the table. Place the correct title at the top of each
irga5000 [103]
For the first one is has greater then 3 terms
The middle one is has exactly one term
And the last one is has two terms
I believe I hope this helps
4 0
3 years ago
If a business borrows $20,000 and repays $29,200 in 4 years, what is the simple interest rate?
nekit [7.7K]

Answer:

11.5

Step-by-step explanation:

r= SI×100

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P×T

= 9200×100

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4 0
3 years ago
If 2tanA=3tanB then prove that,<br>tan(A+B)= 5sin2B/5cos2B-1​
Fed [463]

By definition of tangent,

tan(A + B) = sin(A + B) / cos(A + B)

Using the angle sum identities for sine and cosine,

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

yields

tan(A + B) = (sin(A) cos(B) + cos(A) sin(B)) / (cos(A) cos(B) - sin(A) sin(B))

Multiplying the right side by 1/(cos(A) cos(B)) uniformly gives

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) tan(B))

Since 2 tan(A) = 3 tan(B), it follows that

tan(A + B) = (3/2 tan(B) + tan(B)) / (1 - 3/2 tan²(B))

… = 5 tan(B) / (2 - 3 tan²(B))

Putting everything back in terms of sin and cos gives

tan(A + B) = (5 sin(B)/cos(B)) / (2 - 3 sin²(B)/cos²(B))

Multiplying uniformly by cos²(B) gives

tan(A + B) = 5 sin(B) cos(B) / (2 cos²(B) - 3 sin²(B))

Recall the double angle identities for sin and cos:

sin(2x) = 2 sin(x) cos(x)

cos(2x) = cos²(x) - sin²(x)

and multiplying uniformly by 2, we find that

tan(A + B) = 10 sin(B) cos(B) / (4 cos²(B) - 6 sin²(B))

… = 10 sin(B) cos(B) / (4 (cos²(B) - sin²(B)) - 2 sin²(B))

… = 5 sin(2B) / (4 cos(2B) - 2 sin²(B))

The Pythagorean identity,

cos²(x) + sin²(x) = 1

lets us rewrite the double angle identity for cos as

cos(2x) = 1 - 2 sin²(x)

so it follows that

tan(A + B) = 5 sin(2B) / (4 cos(2B) + 1 - 2 sin²(B) - 1)

… = 5 sin(2B) / (4 cos(2B) + cos(2B) - 1)

… = 5 sin(2B) / (4 cos(2B) - 1)

as required.

5 0
2 years ago
A man is four times as old as his son. 10 years later, the man will be three times as old as his son. What is the man’s current
kvasek [131]

Answer:

The son is 20 and the father is 80.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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