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Ad libitum [116K]
3 years ago
12

A floor tile is 20 inches wide. If the perimeter of the tile is 72 inches, what is the length of the tile?

Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0

Answer:

16 inches

Step-by-step explanation:

Given,

Perimeter = 72 inches

Breadth = 20 inches

Perimeter = 2 ( L+B )

72 = 2 ( L+20)

72= 2L + 40

72-40=2L

32/2=L

L=16 inches

therefore , lenght of the tile is 16 inches

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A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top
PtichkaEL [24]

Answer: 9.19 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is distance between the top of the ladder and the ground.

Replacing with the values given:  

Sin 45 = x/ 13

Solving for x  

sin45 (13) =x  

x= 9.19 ft

Feel free to ask for more if needed or if you did not understand something.  

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3 years ago
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2 years ago
Can somebody help me with this
neonofarm [45]

The sum of the expression (–x² + x) and (x² – 3x – 1) will be –2x – 1. Then the correct option is D.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression can be written as

(–x² + x) and (x² – 3x – 1)

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More about the Algebra link is given below.

brainly.com/question/953809

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A right triangle has side lengths a, b, and c as shown below.
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