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3 years ago

The length of the hypotenuse of a 30-60-90 triangle is 28 m. Find the length of the side opposite the 30 angle

Mathematics

2 answers:

____ [38]3 years ago

7 0

The answer is 14 m

In a 30°-60°-90° triangle, the hypotenuse (c) is twice the length of the shorter leg (a) which is the opposite to the 30 angle:

c = 2a

We have c = 28 m

So: 28 = 2a

a = 28 / 2

a = 14 m

klemol [59]3 years ago

7 0

To find the length of the opposite side you just have to use the formula
Sin 30° = opposite side / hypotenuse length
You Cross Multiply and you get
opposite side = Sin 30° x hypotenuse length opposite side length= 1/2 x 28 = 28/2
Opposite side length = 14.

Hope you will understand it.

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Nimfa-mama [501]

Answer:

3. D) 26, 7, 31

4. B) 6, 34, 27

Step-by-step explanation:

Both #3 and #4 use the same strategy: the two shorter sides' sum has to be greater than the longer side.

#3:

2 + 8 is 10, which is less than 13. So A wouldn't form a triangle.

12 + 22 is 34, which is the length of the longer side. So B wouldn't form a triangle either.

14 + 18 is 32, which is less than 40. So C wouldn't form a triangle.

7 + 26 is 33, which is greater than 31. So D would form a triangle.

D. 26, 7, and 31 are the only lengths of the ones shown that form a triangle.

#4:

17 + 18 is 35, which is greater than 19. So A would form a triangle.

11 + 22 is 33, which is greater than 25. So C would also form a triangle.

5 + 18 is 23, which is greater than 20. So D would form a triangle.

6 + 27 is 33, which is less than 34. So B wouldn't form a triangle.

B. 6, 34, and 27 are the only lengths of the ones shown that don't form a triangle.

6 0

3 years ago

Please help, I need help. I don't understand.

Lana71 [14]

Find slope of both

(11,2)
(22,4)

$\\ \tt\hookrightarrow m=\dfrac{4-2}{22-11}=\dfrac{2}{11}=1.8$

(0,0)
(5,1)

$\\ \tt\hookrightarrow m=\dfrac{1-0}{5-0}=\dfrac{1}{5}=0.2$

Option C is correct

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2 years ago

If the measure of DAC is x and the measure of CAB is (2x – 30), what is the value of x? (HINT** remember how we label angles, th

Scorpion4ik [409]

Answer:

Step-by-step explanation:

∠ BAD = 90° and

∠ DAC + ∠ CAB = ∠ BAD, that is

x + 2x - 30 = 90

3x - 30 = 90 ( add 30 to both sides )

3x = 120 ( divide both sides by 3 )

x = 40 → b

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3 years ago

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GrogVix [38]

Answer:

$87.96 {m}^{2}$

Step-by-step explanation:

$area=2πrh \\ =2·π·7·2 \\ ≈87.96459 {m}^{2}$

hope this helps

brainliest appreciated

good luck! have a nice day!

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Anit [1.1K]

Answer:

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Step-by-step explanation:

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