The circle has center 0. Its radius is 3 ft, and the central angle a measures 50% What is the area of the shaded region?
Give the exact answer in terms of 7, and be sure to include the correct unit in your answer.

Answer:

John was 17 miles away from where he started.

Step-by-step explanation:

The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.

Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].

So to solve this, work backwards:

[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]

The distance between the initial and final point will be 17 miles.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

This can be expressed as

H² = P² + B²

John drove his car due east for 8 miles.

He then turned south and drove 15 miles.

Then the distance between the initial and final point will be

H² = 8² + 15²

H² = 64 + 225

H² = 289

H = 17 miles

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

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Answer:

[tex]3x - 3 \leqslant 2 \times (x + 1) + x \geqslant 0 = [/tex]

Step-by-step explanation:

[tex]3x - 3 \leqslant (2 \times x) - (2 \times 1) + x \geqslant 0[/tex]

Answer:

a + 2b

Step-by-step explanation:

Given the expression

2(a+2b) - a-2b

Open the bracket

2a+(2)2b- a-2b

2a+4b - a-2b

Collect the like terms

2a-a+4b-2b

a + 2b

Hence the equivalent expression is a + 2b

Answer:

d

Step-by-step explanation:

Answer:

18 years

Step-by-step explanation:

Transforming the question in form of equation:

Let x be the current age.

x + 32 = 5(x-8)

x + 32 = 5x - 40

5x - x = 40 + 32

4x = 72

x = 18

Answer: look at this! He’s 18

Step-by-step explanation:

equation = x+32=5(x-8)

X+32=5x-40

5x-x=32+40

4x=72

X=72/4

=18

Answer:

1.3

Step-by-step explanation:

B: (4,1)

A: (-8, 1.3)

pythagorean theorem:

a leg: .3

b leg: 13

c: 13

Answer: pi/2

Step-by-step explanation:

Answer:

-3.50

-0.5184

Step-by-step explanation:

The product :

. A.)

- 2. 5 * 1.4

-2.5

*1. 4

____

100

25

____

-3.50

____

B.)

-0.64

*0.81

______

___064

__512

_000

________

-0.5184

_______

Answer:

B, C, and E

Step-by-step explanation:

A. 42/6 = 7     Not correct

B. 42/7 = 6     Correct

C. 108/18 = 6  Correct

D. 40/5 = 8     Not correct

E. 96/16 = 6     Correct

Answer:

2:6

Step-by-step explanation:

ℎ ℎ ℎ ℎ ℎ 2

6

Answer:

Get smarty book dbbdndnrnr

Step-by-step explanation:

The man had 4 $5 bills and 16 $1 bills.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let x be the number of $5 bills and y be the number of $1 bills.

From the problem, we know that:

y = 3x + 4 (since the number of $1 bills was 4 more than 3 times the number of $5 bills)

The total amount of money the man had is $36, so we can write:

5x + 1y = 36

Substituting the first equation into the second equation, we get:

5x + 1(3x + 4) = 36

Simplifying and solving for x, we get:

5x + 3x + 4 = 36

8x = 32

x = 4

So the man had 4 $5 bills.

Using the first equation, we can find the number of $1 bills:

y = 3x + 4 = 3(4) + 4 = 16

Therefore,

The man had 4 $5 bills and 16 $1 bills.

Learn more about expressions here:

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Answer:

$23.13

Step-by-step explanation:

in total they would need to pay $23.13

Answer:

$27.41

Step-by-step explanation:

Meal Cost = $86.50

Sales Tax= 6.75% of the Meal Cost

= 6.75% X 86.50

= 0.0675 X 86.50

=$5.84

They tipped the Waiter 20%

20% of 86.50

=0.2 X 86.50

=$17.30

Total Bill= Meal Cost + Sales Tax + Tip

= 86.50 +5.84 + 17.30

=$109.64

Since the friends are four, each one will be expected to pay:

$109.64/4

=$27.41

Hope this helps because the other person didn't give the right answer!

Answer:

8 inches

Step-by-step explanation:

Let w be the width of rectangle B.

Since, both rectangles are similar.

Therefore, corresponding lengths and widths of rectangles A and B will be in proportion.

[tex] \therefore \frac{20}{40} = \frac{4}{w} \\ \\ \frac{1}{2} = \frac{4}{w} \\ \\ w = 2 \times 4 \\ \\ w = 8 \: inches[/tex]

Answer:

8"

Step-by-step explanation:

Lᵃ/Wᵃ = Lᵇ/Wᵇ

20"/4" = 40"/Wᵇ

Wᵇ = (4"×40")/20"

Wᵇ = 160" ÷ 20"

Wᵇ = 8"

Width of rectangle B = 8 inches

______________

#IndonesianPride

- kexcvi -

Answer:

39/100 or 39%

Step-by-step explanation:

1−(58/100+3/1000)

=39/100.

39%

Answer:

C 16

Step-by-step explanation:

Using ratios

3:12

12/3=4

4:x

4*4=16

x=16

4:16

hope this helps:)

Answer: 12 & 1

Step-by-step explanation:

12*1=12

12+1=13

Answer:

The two integers are 12 and 1

Step-by-step explanation:

The sum is 13 because 12 + 1 = 13

The product is 12 because 12 * 1 = 12

Answer:

[tex]3\frac{11}{12}[/tex] cups

Step-by-step explanation:

[tex]2\frac{1}{2} = \frac{5}{2}[/tex] of pears

[tex]\frac{2}{3}[/tex] of grapes

[tex]\frac{1}{4}[/tex] of apples

[tex]\frac{1}{2}[/tex] of orange

when adding fractions, make sure all denominators are the same:

[tex]\frac{5}{2} = \frac{30}{12}[/tex] of pears

[tex]\frac{2}{3} = \frac{8}{12}[/tex] of grapes

[tex]\frac{1}{4} = \frac{3}{12}[/tex] of apples

[tex]\frac{1}{2} = \frac{6}{12}[/tex] of orange

add all of the fractions:

[tex]\frac{30}{12} + \frac{8}{12} + \frac{3}{12} + \frac{6}{12} = \frac{47}{12}[/tex]

convert to mixed fraction:

[tex]\frac{47}{12} = 3\frac{11}{12}[/tex]

Look at the other guys

Answer:

1/2

Step-by-step explanation:

you could get 2 or 4 or 6

Answer: what question?

Answer:

558.01 ft

Step-by-step explanation:

To obtain the height of cell tower :

Height of post / shadow of post = height of tower / shadow of tower

Shadow of post = 16 in = 1.333333 ft

6/ 1.3333 = height of tower / 124

6 * 124 = 1. 3333 * height of tower

744 = 1.3333 * height of tower

Height of tower = 744 / 1.3333

Height of tower = 558.01

Height of tower = 558.01 ft

Answer:

tan

Step-by-step explanation:

you can use this equation

[tex]tan(18) = \frac{h}{100} [/tex]

to solve for h

Answer:

Tangent

Step-by-step explanation:

Tangent=opposite/adjacent

For the angle that's 18°, it's opposite side is h, and the side that is next to, or adjacent to it is 100. It's not the other side because that's hypotenuse.

When you plug those in, you'll have:

[tex]tan(18)=\frac{h}{100}[/tex]

Solve for h by multiplying both sides by 100 to get:

[tex]100*tan(18)=h[/tex]

Put [tex]tan(18)[/tex] into calculator to get .324919. When you do so, make sure you're in degrees, not radians.

Since we are multiplying that by 100, the final answer is 32.4919

Answer:

its $110 as 10 percent of 100 is 10

Answer: hi hope this helps

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

volume of sphere=4/3 πr³=4/3×3.14×7³=1436.02units³

Answer:

4

Step-by-step explanation:

24xy---> 2

-xy3--->4

x2--->2