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Marat540 [252]
3 years ago
11

Find the area of right triangle. If necessary, round to the nearest tenth.

Mathematics
1 answer:
Finger [1]3 years ago
5 0

Answer:

b. 24 yd

Step-by-step explanation:

Hi, since we have a  right triangle we have to apply the Pythagorean Theorem:, to find the missing side.

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle (10 yd) and a and b are the other sides.

Replacing with the values given:

10^2 = 6^2 + b^2

100 = 36+b^2

100-36 = b^2

64 = b^2

√64 = b

b= 8

Now, we can calculate the area:

A =1/2x base x height = 1/2 x 8 x 6 = 24 yd

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

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What is the common difference of an arithmetic sequence defined by the formula an=2n−4?
Ainat [17]

Answer:

d = 2

Step-by-step explanation:

Generate the first few terms

a₁ = (2 × 1) - 4 = 2 - 4 = -2

a₂ = (2 × 2) - 4 = 4 - 4 = 0

a₃ = (2 × 3) - 4 = 6 - 4 = 2

a₄ = (2 × 4) - 4 = 8 - 4 = 4

d = 0 - (- 2) = 2 - 0 = 4 - 2 = 2

5 0
3 years ago
Read 2 more answers
In the image below, 10 is the long leg of the 30-60-90 triangle.<br><br><br> True or false?
never [62]

The measure of the angle between the hypotenuse and the <em>short</em> leg is 60° and we can conclude that the side with length 10 is not the <em>long</em> leg of the 30 - 60 - 90 <em>right</em> triangle. (Right choice: False)

<h3>Is the length of a known arm in a 30 - 60 - 90 right triangle the long arm?</h3>

In accordance with geometry, the length of the <em>long</em> arm of a 30 - 60 - 90 <em>right</em> triangle is √3 / 2 times the length of the hypotenuse, the length of the <em>short</em> arm is 1 / 2 times the length of the hypotenuse and the length of the <em>long</em> arm is √3 times the length of the arm.

Thus, the measure of the angle between the hypotenuse and the <em>short</em> leg is 60° and we can conclude that the side with length 10 is not the <em>long</em> leg of the 30 - 60 - 90 <em>right</em> triangle. (Right choice: False)

To learn more on right triangles: brainly.com/question/6322314

#SPJ1

3 0
2 years ago
Helpppppppppppppppppppppppp
nirvana33 [79]
I’d say 21 and -1 :)
21 * -1 = -21
21 - 1 = 20
5 0
3 years ago
Read 2 more answers
110% of 90 is what number a ?<br><br>? = 110 over 100<br>please help​
densk [106]

Answer:

90 is the orrect answer because I said so

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Use the law of cosines to find the length of side C.
sergij07 [2.7K]

Answer:

\text{D. 36.64}

Step-by-step explanation:

The Law of Sines is given by \frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C} and works for any triangle.

Therefore, we have the proportion:

\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}

8 0
3 years ago
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