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3 years ago

Find all the missing sides and angles of this triangle,

Mathematics

1 answer:

iren2701 [21]3 years ago

8 0

Answer:

See solutions below

Step-by-step explanation:

From the given diagram;

AC = opposite

AB = 7 = hypotenuse

Angle of elevation = 70 degrees

Using SOH CAH TOA

Sin theta = opp/hyp

Sin theta = AC/AB

Sin 70 = AC/7

AC = 7sin70

AC = 7(0.9397)

AC = 6.58

Similarly

tan 70 = AC/BC

tan 70 = 6.58/BC

BC = 6.58/tan70

BC = 6.58/2.7475

BC = 2.39

tan m<A = BC/AC

tanm<A = 2.39/6.58

tan m<A = 0.3632

m<A = 19.96degrees

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antoniya [11.8K]

Answer:

4400

Step-by-step explanation:

<h2><u>SIMPLE INTEREST </u></h2>

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3 years ago

Find the area of the shaded portion of the figure. Each vertex of square ABCD is at the center of a circle. Round your answer to

IrinaK [193]

<u>Given:</u>

Each circle has a diameter of 2 inches each.

The outer square has a side length of 4 inches and the square ABCD has a side length of 2 inches.

The area of the shaded region.

<u>Solution:</u>

Each circle has a diameter of 2 inches. The square ABCD is at the center of each circle so it has a side length of 1 inch.

To determine the area of the shaded region, we subtract the area of the quarter-circles in the square ABCD from the area of the square ABCD.

The area of a quarter-circle $=\frac{\pi r^{2} }{4} .$

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The area of 1 quarter-circle $=\frac{\pi r^{2} }{4} = \frac{\pi (1^{2}) }{4} = \frac{3.1415}{4} .$

The area of 4 quarter-circles $=4(\frac{3.1415}{4}) = 3.1415.$

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3 years ago

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Answer:

Step-by-step explanation:

I'm going to assume that this is a right triangle

which means that

3x²+6²=19²

9x²+36=361

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x=6

3 0

3 years ago

What is the answer to 2x + 5= 19

Bogdan [553]

Rememer you can do anything to an equaiton as long as you do it to both sides

get x by itself

2x+5=19
minus 5 from both sides
2x+5-5=19-5
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divide both sides by 2
2x/2=14/2
1x=7
x=7

4 0

3 years ago