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2 years ago

What is the correct answer?

Mathematics

2 answers:

gavmur [86]2 years ago

5 0

Answer:

tan(w)=opp/adj

tan(w)=12/5

=2.4

=3 ........ rownd

Gekata [30.6K]2 years ago

5 0

We know

$\boxed{\sf tan\Theta=\dfrac{Perpendicular}{Base}}$

Now

$\\ \sf\longmapsto tanW=\dfrac{XY}{XZ}$

$\\ \sf\longmapsto tanW=\dfrac{12}{5}$

$\\ \sf\longmapsto tanW=2.4$

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Write the equation in slope-intercept form. 5x + 5y = 35

vekshin1

Answer:

y = -x + 7

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

[Standard Form] 5x + 5y = 35

Step 2: Rewrite

Find slope-intercept form.

Subtract 5x on both sides: 5y = -5x + 35
Divide 5 on both sides: y = -x + 7

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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

Divide by 8π both sides

$4=r^{2}$

square root both sides

$r=2\ cm$

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