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3 years ago

Consider the function represented by the graph. What is the domain of this function?

Mathematics

1 answer:

ANTONII [103]3 years ago

4 0

All real numbers :)!!!!

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Changle. Show all work. Round each length to the nearest tenth and each angle to the

Sedaia [141]

Answer:

Part 1) $BC=12.2\ units$

Part 2) $m\angle A=55^o$

Part 3) $m\angle C=35^o$

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=7^2+10^2$

$AC^2=149\\AC=12.2\ units$

Part 2) Find the measure of angle A

we know that

In the right triangle ABC

$tan(A)=\frac{BC}{AB}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(A)=\frac{10}{7}$

using a calculator

$m\angle A=tan^{-1}(\frac{10}{7})=55^o$

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

$m\angle A+m\angle C=90^o$ ----> by complementary angles

substitute the given value

$55^o+m\angle C=90^o$

$m\angle C=90^o-55^o=35^o$

8 0

3 years ago

A water storage tank is in the shape of a cone with the pointed end down. If the radius is 21 feet and the depth of the tank is

andre [41]

The volume of the water storage tank is the amount of space in it

The volume of the water storage tank is 6468 cubic feet

<h3>How to determine the volume?</h3>

The given parameters are:

Radius (r) = 21 feet

Height (h) = 14 feet

The shape of the water storage tank is a cone.

And the volume of a cone is:

V = 1/3πr^2h

So, we have:

V = 1/3 * 22/7 * 21^2 * 14

This gives

V = 6468

Hence, the volume of the water storage tank is 6468 cubic feet

Read more about volumes at:

brainly.com/question/1972490

4 0

2 years ago

F(x) = x? – x3<br> Select the value of f(-2)<br> 4<br> -12<br> 12<br> A<br> B<br> C D

Talja [164]

Step-by-step explanation:

f(x) = x² - x³

f(-2) = (-2)² - (-2)³

= 4 - (-8)

= 4 + 8 = 12

3 0

2 years ago

Shelia rolled a number cube numbered 1 through 6 tossed coin for heads ,h or tails,t. Which List Represent All the Possible outc

scZoUnD [109]

Answer: c

Explanation:

7 0

3 years ago

Pleas help, I’ll mark as brainliest.

STatiana [176]

Answer:

Step-by-step explanation:

f(4) = -1

g(4) = -2

(f + g)(4) = f(4) + g(4) = -3

Hope that helps!

3 0

2 years ago

Read 2 more answers