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Mice21 [21]
3 years ago
11

Find the height of the triangle.

Mathematics
2 answers:
Ierofanga [76]3 years ago
7 0

Answer:

The value of x = 3.42

Step-by-step explanation:

Formula:

Sin ∅ = Opposite side /Hypotenuse

From the figure we can see a right angled triangle.

One angle is given, hypotenuse = 10 and height = x.

To find the value of x

sin 20 = Opposite side/hypotenuse = x/10

x = 10 * sin 20

 = 10 * 0.342 = 3.42

Therefore the value of x = 3.42

Liula [17]3 years ago
5 0

Answer:

Height of the triangle is 3.42.

Step-by-step explanation:

We have given a right angle  triangle.

In the figure, hypotenuse = 10 , angle= ∅ = 20°

We have to find height of the triangle.

We have to find the height of triangle, in the figure it is represented by x.

As it is right angle triangle we use the following formula to find the value of x.

sin ∅= hypotenuse / height

sin ∅ = 10/x

sin 20= 10/x

x = 10 × sin 20

x = 10× 0.342

x = 3.42

height of the triangle is 3.42.

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Answer:

Step-by-step explanation:

Pythagorean theorem,

hypotenuse²= base² + altitude²

base² = hypotenuse² - altitude²

x² = 14² - 9²

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a film canister in the shape of a cylinder has a height of 8 centimeters and a volume of the film canister. write an equation fo
uranmaximum [27]

Answer:

Part a) The equation for the volume of the film canister is

32\pi=\pi r^{2}(8)

Part b) The radius of the film canister is 2\ cm

Step-by-step explanation:

<u><em>The complete question is</em></u>

A film canister in the shape of a cylinder has a height of  8 centimeters and a volume of 32π cubic centimeters.

a. Write an equation for the volume of the film canister.

b. What is the radius of the film canister?

Part a) Write an equation for the volume of the film canister

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

where

r is the radius of the circular base

h is the height of the cylinder

we have

V=32\pi\ cm^3

h=8\ cm

substitute

32\pi=\pi r^{2}(8) ----> equation for the volume of the film canister

Part b) What is the radius of the film canister?

we have

32\pi=\pi r^{2}(8)

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Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
slavikrds [6]

Answer:

x = 97

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use PT to solve for the missing side length.

<u>Step 2: Identify Variables</u>

Leg <em>a</em> = 72

Leg <em>b</em> = 65

Hypotenuse <em>c</em> = <em>x</em>

<em />

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Substitute [PT]:                    72² + 65² = x²
  2. Exponents:                           5184 + 4225 = x²
  3. Add:                                      9409 = x²
  4. Isolate <em>x</em>:                               97 = x
  5. Rewrite:                                x = 97
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