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3 years ago

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,

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2 years ago

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:

The complete question is

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

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

$32\pi=8\pi r^{2}$

Simplify

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3 years ago

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3 years ago

Read 2 more answers

Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

slavikrds [6]

Answer:

x = 97

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Trigonometry

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

Step-by-step explanation:

Step 1: Define

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

Step 2: Identify Variables

Leg a = 72

Leg b = 65

Hypotenuse c = x

Step 3: Solve for x

Substitute [PT]: 72² + 65² = x²
Exponents: 5184 + 4225 = x²
Add: 9409 = x²
Isolate x: 97 = x
Rewrite: x = 97

5 0

2 years ago