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3 years ago

Helpp pleaseeeeeeeeeeee

Mathematics

2 answers:

ElenaW [278]3 years ago

8 0

<h3>Answer: 37.3</h3>

Work Shown:

sin(angle) = opposite/hypotenuse

sin(40) = 24/x

x*sin(40) = 24

x = 24/sin(40)

x = 37.33737184465

x = 37.3

When you use your calculator, make sure it is in degree mode. One way to check is to compute something like sin(30) and you should get 0.5

Crank3 years ago

4 0

Answer:

x = 37.3

Step-by-step explanation:

for the specified angle, the ratio of the length of the side that is opposite that angle to the length of the longest side (hypotenuse) of the triangle, it is sine.

$\sin40^o=0.6428$

From triangle $\sin40^o=\dfrac{24}x$

so:

$0.6428=\dfrac{24}x\\\\0.6428\,x=24\\\\x=24\div0.6428=37.336652....\approx37.3$

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PROBLEM: Riley has a rectangular shaped patio that is 13 feet long by 15 feet wide. He wants to DOUBLE THE AREA of the patio by

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Answer:

1) The equation that represents the total area of Riley's proposed ratio is $A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ .

2) The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

Step-by-step explanation:

1) From Geometry we remember that area formula for the rectangle is represented by:

$A = x\cdot y$ (1)

Where:

$A$ - Area, measured in square feet.

$x$ - Length, measured in feet.

$y$ - Width, measured in feet.

From statement we know that Riley wants to double the area, that is:

$A' = 2\cdot A$ (2)

By applying (1) in (2), we get the following expression:

$A' = 2\cdot x\cdot y$ (3)

Given that Riley wants to double the area of the pation by increasing the length and width by the same amount, we can rearrange (3) by algebraic means:

$A' = \sqrt{2}\cdot \sqrt{2}\cdot x\cdot y$