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Diano4ka-milaya [45]
3 years ago
11

1) Find the measure of 0. (imagine that is an x) 2) Then, find the measure of AB. (the length from A to B) ​

Mathematics
1 answer:
snow_lady [41]3 years ago
6 0

Answer:

θ ≈ 50°, AB ≈ 15.6

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = \frac{opposite}{adjacent} = \frac{BC}{AC} = \frac{11.9}{10} = 1.19 , then

θ = tan^{-1} (1.19 ) ≈ 50° ( to the nearest degree

-----------------------------------------------------------------

Using the cosine ratio in the right triangle

cos50° = \frac{adjacent}{hypotenuse} = \frac{AC}{AB} = \frac{10}{AB} ( multiply both sides by AB )

AB × cos50° = 10 ( divide both sides by cos50° )

AB = \frac{10}{cos50} ≈ 15.6 ( to 1 dec. place )

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3

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4 0
4 years ago
What is the volume of a sphere with a radius of 4 cm? Use 3. 14 for pi. Round to the nearest hundredth. 50. 24 cm³ 66. 99 cm³ 20
Nimfa-mama [501]

The volume of the sphere is 267. 95 cm³.

<h2>Given </h2>

The radius of the sphere is 4cm.

<h3>What is the volume of sphere?</h3>

The volume of a sphere is the three-dimensional space occupied by a sphere.

The volume of the sphere is determined by the following formula;

\rm Volume = \dfrac{4}{3} \pi r^3

Where r is the radius of the sphere.

Substitute all the values in the formula;

\rm Volume = \dfrac{4}{3} \pi r^3\\\\\rm Volume = \dfrac{4}{3} \times (3.14) \times 4^3\\\\Volume = 4 \times 1.04 \times 64\\\\Volume = 267.95\ cm ^3

Hence, the volume of the sphere is 267. 95 cm³.

To know more about Volume of Sphere click the link given below.

brainly.com/question/369459

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