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svlad2 [7]
1 year ago
15

Louie is trying to find a rectangular canvas for his art project. its width must measure 20 inches and form a 35° angle with the

diagonal of the canvas. what is the height of the canvas? round your answer to the nearest tenth.
Mathematics
1 answer:
sweet-ann [11.9K]1 year ago
8 0

The height of the canvas according to tangent is 14 inches.

According to the statement

we have given that the a rectangular canvas for his art project. its width must measure 20 inches and form a 35° angle with the diagonal of the canvas.

And we have to find the height of the canvas.

So, For this purpose,

The given information is:

The 35⁰ angle is part of a right triangle with a side of 20 inches.  The tangent of this angle (35⁰) is equal to the opposite side, x, over the adjacent side (20 inches).

Tan (35⁰) = x/20

0.7002 = x/20

x = 14.004 inches.

For more understanding of the statement please see the image below.

So, The height of the canvas according to tangent is 14 inches.

Learn more about tangent here

brainly.com/question/17040970

#SPJ4

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Please help asap!! Due today!
Elena-2011 [213]

Answer:

25 cm

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + 24^2 = c^2

49 + 576 = c^2

c^2 = 625

c = 25

Answer: 25 cm

5 0
3 years ago
Larry Mitchell invested part of his $36,000 advance at 7% annual simple interest and the rest at 2% annual simple interest. If h
alisha [4.7K]

The amount invested at each rate

Investment at 7% = $25000

Investment at 2%  = $11,000

<h3>What is investment?</h3>

Investment definition is an asset acquired or invested in to build wealth and save money from the hard earned income or appreciation.

Given:

Larry Mitchell invested = $36,000 at 7% annual simple interest

the rest at 2% annual simple interest.

Total investment = 36000

let the investment at 7% is x

then, invested at 2% = 36000 - x

Total interest earned = $1,970

Simple interest = principal * rate * time

Investment at 4%:

(x * 0.07) + [(36000 - x) * 0.02] = 1970

0.07x + 720 - 0.02x= 1970

0.05x = 1970-720

0.05x = 1250

x= 25000

Hence,

Investment at 7% = $25000

Investment at 2% = $36,000 - $25000 = $11,000

Learn more about this concept here:

brainly.com/question/18801028

#SPJ1

7 0
2 years ago
Can someone help me on this
balandron [24]

Answer:

7

Step-by-step explanation:

→ Substitute x = -1 into - 5x + 2

-5 × -1 = 5

5 + 2 = 7

6 0
3 years ago
+3=17
aev [14]

Answer:

1

Step-by-step explanation:

5 0
2 years ago
Evaluate f(x) = 8.4x + 3.8 when x = 9.1. Type the number only for auto grade to work correctly. Round your answer to 2 decimal p
vova2212 [387]
The answer is 80.24.
3 0
3 years ago
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