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Katyanochek1 [597]
3 years ago
6

Find the area of the sector with a central angle of 120° and a radius of 8 inches. Leave in terms of π

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
8 0
Centralangle/360 times area of circle=sector area


120/360 times pi8²=
(1/3)(64pi)=64pi/3 square inches
velikii [3]3 years ago
4 0

Answer:

D)

64

3

π in2

Step-by-step explanation:

The formula for the area of a sector is

n

360

πr2 where n is the measure of the central angle. A =

120

360

π(82) =

1

3

π(82) =

64

3

π in2.

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Kamila [148]
<span>triangle abc is similar to triangle def
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m<b = m<e = 25
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answer:

<span>measure of angle a= 45 degrees</span>
5 0
3 years ago
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Jack deposited $47,323.15 in an account earning 5% interest compounded annually.
Vera_Pavlovna [14]

Answer:

Jack's final bank account amount will be $54,782.50, <em>earning</em> <u>$7,459.31</u> in <em>interest</em>.

General Formulas and Concepts:
<u>Algebra I</u>

Compounded Interest Rate Formula: \displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}

  • <em>A</em> is final amount
  • <em>P</em> is principle amount
  • <em>r</em> is rate
  • <em>n</em> is compounded rate
  • <em>t</em> is time

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given variables</em>.

<em>P</em> = $47,323.15

<em>r</em> = 0.05

<em>n</em> = 1

<em>t</em> = 3

<u>Step 2: Find Interest</u>

  1. [Compounded Interest Rate Formula] Substitute in variables:
    \displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}
  2. Evaluate:
    \displaystyle A = \boxed{54782.5}

∴ Jack will <em>gain</em> $7,459.31 and have a net balance of $54,782.50.

---

Learn more about Algebra I: brainly.com/question/27710663

---

Topic: Algebra I

5 0
2 years ago
Help please asap please
olga55 [171]

Answer:

the answer is 64

Step-by-step explanation:

3 0
4 years ago
A math class had 5 girls and 5 boys in the seventh grade and 1 girl and 7 boys in the eight grade. The teacher randomly selects
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Answer:

Because there are 12boys

Step-by-step explanation:

7 0
3 years ago
M(7, 5) is the midpoint of line RS The coordinates of S are (8, 7). What are the coordinates of R?
Shtirlitz [24]

Answer:

The coordinates of point R are (6 , 3)

Step-by-step explanation:

* Lets revise the rule of the mid-point

- The mid point (x , y)of a line whose end points are (x_{1},y_{1})

 and (x_{2},y_{2}) is (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

∵ M is the mid point of line RS

∵ The coordinates of point M are (7 , 5)

∴ x = 7 and y = 5

∵ The coordinates of point R are (x_{1},y_{1})

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∴ (x_{2},y_{2})  = (8 , 7)

∴ x_{2}=8 and y_{2}=7

- By using the rule above

∵ x=\frac{x_{1}+x_{2}}{2}

∵ 7=\frac{x_{1}+8}{2}

- Multiply both sides by 2

∴ 14=x_{1}+8

- Subtract both sides by 8

∴ x_{1}=6

∴ the x-coordinate of point R is 6

∵ y=\frac{y_{1}+y_{2}}{2}

∵ 5=\frac{y_{1}+7}{2}

- Multiply both sides by 2

∴ 10=y_{1}+7

- Subtract both sides by 7

∴ y_{1}=3

∴ the y-coordinate of point R is 3

* The coordinates of point R are (6 , 3)

6 0
3 years ago
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