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adelina 88 [10]
4 years ago
12

The measure of central angle ABC is radians.

Mathematics
1 answer:
mezya [45]4 years ago
5 0

Answer:

9\pi\ units^{2}

Step-by-step explanation:

we know that

The measure of central angle ABC is \frac{\pi}{2} radians

so

\frac{\pi}{2}=90\°

360\° subtends the complete circle

The area of the shaded sector is the area of a quarter circle

so

The area of a quarter circle is equal to

A=\frac{1}{4}\pi r^{2}

we have

r=6\ units

substitute

A=\frac{1}{4}\pi (6)^{2}=9\pi\ units^{2}

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b, semi-monthly

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Why are the canal and roads important for a society​
photoshop1234 [79]

Step-by-step explanation:

The steam-powered locomotive revolutionized commercial transportation by providing a durable, faster, cheaper way to move goods. The Governor Stanford was the first train on the Central Pacific, which became the first transcontinental railroad line in 1869 when it was joined with the Union Pacific.

3 0
3 years ago
Daniel deposits $300 into an account that earns 16% interest annually. Which equation can be used to model his account balance,
MAVERICK [17]

Answer:

y=300(1+0.16)^x

Step-by-step explanation:

<h2>This account  can be  modeled using the compound interest formula.</h2><h2>the compound interest formula is expressed as</h2>

 A= P(1+r )^t

Where

A =final amount  = y

P=initial principal balance = $300

r=interest rate  = 16%= 0.16

t=number of time periods elapsed= x

Hence the equation to model his account balance/ final amount A (y) after time (x) years is

y=300(1+0.16)^x

5 0
3 years ago
Given f (x) = 1/4x-3/4<br> Find f^-1
Snowcat [4.5K]

The inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

\rm f(x) = \dfrac{1}{4}x-\dfrac{3}{4}

To find the inverse of a function:

Interchange the f(x) and x

f(x) → x

x → f⁻¹(x)

\rm x = \dfrac{1}{4}f^{-1}(x)-\dfrac{3}{4}

Make the subject f(x);

\rm \dfrac{1}{4}f^-^1(x)=x+\dfrac{3}{4}

\rm f^-^1(x)=4x+3

Thus, the inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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3 years ago
Help please with math i beg you​
KIM [24]

a) x=24b+8v

4 * 24 = 96

120 - 96 = 24

24 / 8 = 3

b) 3

6 * 8 = 48

120 - 48 = 72

72 / 24 = 3

c) 3

120 / 8 = 15

d) 15

120 / 24 = 5

e) 5

3 0
3 years ago
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