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Evgen [1.6K]
3 years ago
8

Find the angle represented by x (rounded to the nearest tenth of a degree).

Mathematics
1 answer:
koban [17]3 years ago
3 0

Answer:

Option (D)

Step-by-step explanation:

By applying sine rule in the triangle shown,

Since, \text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}

By this rule,

\text{sinx}=\frac{\text{5000}}{8000}

x = \text{sin}^{-1}(\frac{5}{8})

x = \text{sin}^{-1}(0.625)

x = 38.682°

  ≈ 38.7°

Therefore, Option (D) is the correct option.

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Someone help!!! PLEASE BE QUICK.... <br> **BONUS POINTS**
Tatiana [17]

Answer:

884cm^2

Step-by-step explanation:

top triangle area=21*24/2=252

central triangle area=16*24/2=192

left n right triangle area (each)=22*20/2=220

total area of wood needed=252+192+220+220

=884cm^2

6 0
3 years ago
Read 2 more answers
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0
3 years ago
Make 6 prime numbers using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 once each. ​
Fed [463]

Answer:

29, 19, 11, 77, 37, 23. I made prime number from given digit.

I hope you got it .

7 0
3 years ago
A jar of marbles has 27 green marbles. This represents 30% of the marbles in the jar. How many total marbles are in the jar? Ple
Brums [2.3K]

Answer:

90 i think

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Need help with math homework​
kaheart [24]

1. Area: pi x r^2

Radius: 6.9m

Area: 3.14 x 6.9^2

Area: 149.5m

2. Area: pi x r^2

Radius: 150ft

Area: 3.14 x 150^2

Area: 70,650ft

3. Area: pi x r^2

Radius: 8in

Area: 3.14 x 8^2

Area: 200.96in

Area: pi x r^2

Radius: 2in

Area: 3.14 x 2^2

Area: 12.56in

200.96/12.56 = 16

Therefore, it will take 16 4 inch diameter cookies to equal the area of one giant cookie.

8 0
3 years ago
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