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Setler [38]
3 years ago
5

The perimeter of a rectangular carpet is 32 ft. Its length of the carpet is 6 ft. What is its width, w?

Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

5.3

Step-by-step explanation: dived 32 by 6

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On a sunny day, cindy notices that her shadow is 21 inches long. if it is 75 inches from the top of her head to the end of the s
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Cindy is 72 inches long. Imagine it like a right triangle. Her shadow is the base, she is the side, and the distance between her head and the end of the shadow is the diagonal line connecting the two. Use the Pythagorean theorem to find how tall cindy is.

a²+b²=c²        a=21, the length of the shadow
                       b= ? cindy's height
                     c= 75, the distance from her head to the edge of the shadow
21²+ b²=75²
441 +b² = 5625
-441         -441
------         -------
  0             5184
b² = 5184
√b² =√5184
b= 72

hope it helps
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Step-by-step explanation:

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At Xcape Boardshop the price tag on the shirt says 12.58. Sales tax 7.5 of price. How much will you pay for the shirt
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Find the missing sides.
love history [14]

Answer:

Part 3)

x=6\ units

y=3\ units

Part 4) x=18\sqrt{2}\ units

Step-by-step explanation:

Part 3)

<em>step 1</em>

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

so

cos(30\°)=\frac{3\sqrt{3}}{x}

and remember that

cos(30\°)=\frac{\sqrt{3}}{2}

substitute

\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}

Simplify

x=(2*3)=6\ units

<em>step 2</em>

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

so

sin(30\°)=\frac{y}{x}

and remember that

sin(30\°)=\frac{1}{2}

substitute

\frac{1}{2}=\frac{y}{6}

y=6/2=3\ units

Part 4) Find the value of x

Applying the Pythagoras Theorem

x^{2} =18^{2} +18^{2} \\ \\x^{2} = 324+324\\ \\x^{2}=648\\ \\x=\sqrt{648}\ units

Simplify

x=18\sqrt{2}\ units

6 0
3 years ago
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