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zavuch27 [327]
3 years ago
12

30 POINTS!!! Louie is trying to find a rectangular canvas for his art project. Its diagonal must measure 23.3 inches and form a

31° angle with the bottom of the canvas. What is the height of the canvas? Round your answer to the nearest inch. 12 inches 14 inches 24 inches 27 inches
Mathematics
2 answers:
Lisa [10]3 years ago
7 0

Answer:

12 inches

Step-by-step explanation:

Given

\theta = 31^{\circ}

diagonal = 23.3\ in

Required

Determine the height of the canvas

The question is illustrated using the attached image.

Using the attachment as a point of reference, the height is calculated from

sin \theta = \frac{opp}{hyp}

This gives:

sin 31^{\circ}= \frac{h}{23.3}

Make h the subject

h = 23.3 * sin(31^{\circ)

h = 23.3 * 0.5150\\

h = 11.9995

h = 12\ inches

zysi [14]3 years ago
5 0

Answer:

A 12 Inches

Step-by-step explanation:

I got it right on the test

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Valentin [98]

ANSWER

y = 3x - 3

EXPLANATION

Let

y = mx + c

be the equation.

We can choose any two ordered pairs to determine the equation of the relation.

(6,15) \: and \:  (8,21)

We find m using the formula;

m =  \frac{y_2-y_1}{x_2-x_1}

m =  \frac{21 - 15}{8 - 6}  =  \frac{6}{2}  = 3

The equation becomes

y = 3x + c

When x=6, y=15.

This implies that,

15 = 3(6) + c

15= 18 + c

15 - 18= c

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The equation of the relation is therefore,

y = 3x -3

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3 years ago
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3 years ago
The ratio of students packing lunch to those buying lunch is 2 : 9. The number of students buying lunch is how many times the nu
DedPeter [7]

Answer:

4.5 times

Step-by-step explanation:

Packing to Buying is 2:9

Therefore, Buying to Packing will be 9:2.

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3 years ago
Marshall baked two kinds of cakes. Each cake was the same size. He served 1 half of the marble cake. He served 1 third of the le
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Answer:

He served 3/6 of the lemon cake and 2/6 of the marble cake. He served 1 more piece of the lemon cake than marble cake.

Step-by-step explanation:

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8 0
2 years ago
Can someone help me please
Lisa [10]

Answer:

perimeter is 12x-6

Step-by-step explanation:

perimeter is the sum of all sides

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3x+6 + 2x+11 + 7x-23

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12x-6

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2 years ago
Read 2 more answers
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