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V125BC [204]
3 years ago
7

If you answer this question correctly i'll give brainliest

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0

Answer:

<em>15=w</em>

<em>it would be choice 3/choice yellow</em>

Step-by-step explanation:

V=lxhxw

we have everything except for the width!

150=5x2xw

150=10xw

divide both sides by 10

<em>15=w</em>

<em>it would be choice 3/choice yellow</em>

<em></em>

Step2247 [10]3 years ago
4 0

Answer:

15 inches

Step-by-step explanation:

Volume = lwh

150 = (5)w(2)

150 = 10w

w = 15

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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
2/x2-9 - 3x/ x2-5x+6 please show work
Luda [366]

Answer: -3x^3 - 7x^2 - x + 39

Step-by-step explanation:

2/(x^2 -9) - 3x/(x^2-5x+6)

get those denominators factored out

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Multiply both by both denominators

2(x-3)(x-2) - 3x(x-3)(x+3)

Multiply it out

(2x^2 - 10x + 12) - (3x^3 + 9x^2 -9x - 27)

Simplify and it becomes

-3x^3 -7x^2 -x + 39

5 0
3 years ago
You mow your neighbor’a lawn in 5 hours and earn $45. what is your hourly wage
Talja [164]

$9.00 per hour. take 45 and divide by 5 you get 9.

6 0
3 years ago
Read 2 more answers
What is the area of<br> this triangle?
Romashka [77]

Answer:

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Step-by-step explanation:

A=bh/2.

A=(21*8)/2

A=168/2

A=84

6 0
3 years ago
Read 2 more answers
What are the blanks for the boxes
Mariana [72]

Answer:

1.dividing

2.to

Step-by-step explanation:

hope it helps

3 0
3 years ago
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