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3 years ago

In the last election, candidate b received twice as many votes as candidate

1 answer:

5 0

A + b + c = 109,000
b = 2a
c = a - 15,000

a + (2a) + (a - 15,000) = 109,000
4a - 15,000 = 109,000
4a = 109,000 + 15,000
4a = 124,000
a = 124,000/4
a = 31,000

b = 2a
b = 2(31,000)
b = 62,000 <==== candidate b received 62,000 votes

c = a - 15,000
c = 31,000 - 15,000
c = 16,000

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Please solve the following sum or difference identity.

xxTIMURxx [149]

Answer:

$sin(A - B) = \frac{4}{5}$

Step-by-step explanation:

Given:

$sin(A) = \frac{24}{25}$

$sin(B) = -\frac{4}{5}$

Need:

$sin(A - B)$

First, let's look at the identities:

sum: $sin(A + B) = sinAcosB + cosAsinB$

difference: $sin(A - B) = sinAcosB - cosAsinB$

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = $\frac{24}{25}$

cos(A) = $\frac{7}{25}$

sin(B) = $-\frac{4}{5}$

cos(B) = $\frac{3}{5}$

Plug these values into the difference identity formula.

$sin(A - B) = sinAcosB - cosAsinB$

$sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})$

Multiply.

$sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})$

Add.

$sin(A - B) = \frac{4}{5}$

This is your answer.

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Step-by-step explanation:

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3 years ago

The length of a rectangle is twice its width. if the perimeter is 72 meters, find the length and width of the rectangle

madam [21]

Length(l)= 2w
width(w)= w

Perimeter(P)= 2w+2l= 72 (simplify expression: divide each side by 2 )
P= w+l= 36 (plug in "2w" for "l")
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Answer:
The length of this rectangle is 24 units and the width is 12 units.

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