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2 years ago

Point P is the center of the circle below. What is the exact area

Mathematics

1 answer:

Ber [7]2 years ago

5 0

Answer:

192π unit²

Step-by-step explanation:

Given that :

Radius = 24

Area of circle = πr²

Area = π*24²

Area = 576π in²

The Shaded area is 120°

Entire Circumference = 360°

Hence, shaded area = 120°/ 360° = 1/ 3 of the area

1/3 * 576π in²

= 192π unit²

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Find the midpoint of the segment whose endpoints are (8,6) and (-2,-8).

inna [77]

Answer:

$\huge{ \fbox{ \sf{ \: ( \: 3 \: , \: - 1 \: )}}}$

Step-by-step explanation:

$\star{ \sf { \: Let \: the \: points \:be \: A \: and \: B}}$

$\star{ \sf{ \: Let \: \: A (8,6) \: be \: (x1 \:, y1) and \: B(-2,-8) \: be \: (x2 \:, y2)}}$

$\underline{ \sf{Finding \: the \: midpoint}}$

$\boxed{ \rm{Midpoint \: = \: ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}$

$\mapsto{ \sf{Midpoint = ( \frac{8 + ( - 2)}{2} \: , \: \frac{6 + ( - 8)}{2} )}}$

$\mapsto { \sf{Midpoint = ( \frac{8 - 2}{2} \: , \: \frac{6 - 8}{2} }})$

$\mapsto{ \sf{Midpoint = ( \frac{6}{2} \: , \: \frac{ - 2}{2}) }}$

$\mapsto{ \sf{Midpoint = (3 \: \: , - 1)}}$

Hope I helped!

Best wishes!! :D

~ $\sf{TheAnimeGirl}$

5 0

3 years ago

Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own

igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

$x+y=28,000...(1)$

The interest earned at 7% in one year would be $0.07x$ and interest earned at 14% in one year would be $0.14x$ .

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

$0.07x+0.14y=3,430...(2)$

Form equation (1), we will get:

$x=28,000-y$

Upon substituting this value in equation (2), we will get:

$0.07(28,000-y)+0.14y=3,430$

$1960-0.07y+0.14y=3,430$

$1960+0.07y=3,430$

$1960-1960+0.07y=3,430-1960$

$0.07y=1470$

$\frac{0.07y}{0.07}=\frac{1470}{0.07}$

$y=21,000$

Therefore, an amount of $21,000 was invested at a rate of 14%.

$x=28,000-y$

$x=28,000-21,000$

$x=7,000$

Therefore, an amount of $7,000 was invested at a rate of 14%.

8 0

3 years ago

You need $40 $ 40 to buy a new pair of shoes. You have saved $15 $ 15 . Which inequality models how much more you must save?

Hoochie [10]

Answer:

40 < 15+x

Step-by-step explanation:

8 0

3 years ago

5.6 by the power of negative 5 can someone tell me what that equals PLZ HELP NOW

dmitriy555 [2]

0.00018157659
hope this helps you

8 0

2 years ago

Read 2 more answers

50 POINTS

Tcecarenko [31]

Answer:

Part 1: C. $3,159.30

Part 2. C. –5; –135; –10,935

Step-by-step explanation:

Part 1:

Price of the boat = $ 16,600

Depreciation rate = 14% = 0.14

Time of utilization of the boat = 11 years

Price of the boat after 11 years = Original price * (1 - Depreciation rate)^Time of utilization of the boat

Price of the boat after 11 years = 16,600 * (1 - 0.14)¹¹

Price of the boat after 11 years = 16,600 * 0.1903

Price of the boat after 11 years = $ 3,159.30

Part 2:

Let's find out the first term of the sequence given:

A(1) = -5 * 3¹⁻¹

A(1) = -5 * 1

A(1) = -5

Let's find out the fourth term of the sequence given:

A(4) = -5 * 3⁴⁻¹

A(4) = -5 * 3³

A(4) = -5 * 27

A(4) = -135

Let's find out the eighth term of the sequence given:

A(8) = -5 * 3⁸⁻¹

A(8) = -5 * 3⁷

A(8) = -5 * 2,187

A(8) = -10,935

4 0

3 years ago