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Fiesta28 [93]
3 years ago
15

Geometry I need help find the value of theta and round your answer to the nearest tenth.

Mathematics
1 answer:
ira [324]3 years ago
3 0

Answer:

54deg

Step-by-step explanation:

We need to compute the inverse cosine of 10/17. I can't do it by hand, so I used a calculator and it arrived at ~53.97deg which is 54deg rounded to the nearest tenth.

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The measures of ∠1, ∠2, and ∠3 are 40%, 12.5%, and 25% of the sum of the angle measures of the quadrilateral. Find the value of
sweet [91]

The value of x is 81

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360°

  • The measure of ∠1 is 40% of the sum of the angle measures of the quadrilateral
  • The measure of ∠2 is 12.5% of the sum of the angle measures of the quadrilateral
  • The measure of ∠3 is 25% of the sum of the angle measures of the quadrilateral
  • We need to find the value of x

∵ The figure have 4 sides

∴ The figure is a quadrilateral

∵ The sum of the measures of the interior angles of a

    quadrilateral is 360°

- Add the four angles and equate the sum by 360

∴ m∠1 + m∠2 + m∠3 + x = 360

∵ m∠1 = 40% of the sum of the angle measures of the quadrilateral

∴ m∠1 = 40% × 360 = \frac{40}{100} × 360 = 144°

∵ m∠2 = 12.5% of the sum of the angle measures of the quadrilateral

∴ m∠2 = 12.5% × 360 = \frac{12.5}{100} × 360 = 45°

∵ m∠3 = 25% of the sum of the angle measures of the quadrilateral

∴ m∠3 = 25% × 360 = \frac{25}{100} × 360 = 90°

- Substitute these values in the equation above

∴ 144 + 45 + 90 + x = 360

- Add the like terms in the left hand side

∴ 279 + x = 360

- Subtract 279 from both sides

∴ x = 81°

The value of x is 81

Learn more:

You can learn more about the polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0
3 years ago
Assuming the probability that a student is accepted to UCF is 0.6. If 5 students from the same school apply, what is the probabi
igor_vitrenko [27]

Answer:

0.006

Step-by-step explanation:

0.6x0.005x0.02

7 0
2 years ago
Find the unit rate.<br> 9 pounds per 6 crates <br> Ib per crate
murzikaleks [220]

Answer:

1.5

Step-by-step explanation:

I solved it and got it right

5 0
3 years ago
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In the past month, Aldo rented 7 video games and 4 DVDs. The rental price for each video game was $2.30. The rental price for ea
Scrat [10]

Answer:

$27.70

Step-by-step explanation:

v=video games            d=DVDs

7v + 4d =

7(2.3) + 4(2.9) = 27.7

5 0
3 years ago
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The radius of a sphere, r, is given by the formula below, where s is the surface area of the sphere. A spherical balloon has a m
liraira [26]
The formula for the radius of a sphere is:
r(s) = sqrt[s/(4pi)]
This is based on the formula that s = 4pi*r^2

As can be seen, as the surface area increases, s/4pi increases, and sqrt(s/4pi) will also increase, meaning that the radius will increase. This continues until the balloon reaches the maximum s = 1500 cm^2.

The correct answer is the first choice:
<span>As the surface area of the balloon increases, the radius of the balloon increases until the maximum surface area is reached.</span>
5 0
3 years ago
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