The length of a rectangle is represented by 3x + 4, and its width is represented by

Mathematics

1 answer:

Stella [2.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

Length of rectangle = 3x + 4

Width of the rectangle = 2x + 6

Perimeter of rectangle = 2(l + b)

45 = 2(3x + 4 + 2x + 6)

45 = 2(5x + 10)

45 = 10x + 20

45 - 20 = 5x

25 = 5x

x = 25/5

x = 5

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What is the value of z, rounded to the nearest tenth? use the law of sines to find the answer.

DanielleElmas [232]

We can change the law of sines a little bit to match our problem.

$\sf\dfrac{sin(X)}{x}=\dfrac{sin(Y)}{y}=\dfrac{sin(Z)}{z}$

We know what angle Y is and what side y is, so let's use that along with angle Z and side z:

$\sf\dfrac{sin(Y)}{y}=\dfrac{sin(Z)}{z}$

Plug in what we know:

$\sf\dfrac{sin(51)}{2.6}=\dfrac{sin(76)}{z}$

Multiply 'z' to both sides:

$\sf\dfrac{sin(51)}{2.6}z=sin(76)$

Divide sin(51)/2.6 to both sides:

$\sf z=\dfrac{sin(76)(2.6)}{sin(51)}$

Plug it into your calculator.

$\boxed{\sf z\approx 3.2}$

6 0

4 years ago

Read 2 more answers

PLEASE HELP ASAP

gayaneshka [121]

Answer:

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