A lighthouse can light up to 40 miles away through an angle of 125 degrees. What area can the lighthouse light? Round your answer to the nearest tenth.

Answer:

10.2π

Step-by-step explanation:

Given data

Area of circle=  81 ft^2

Also, the expression for the area of a circle is

A=πr^2

substitute

81=3.142*r^2

r^2= 81/3.142

r^2= 25.77

square both sides

r= √25.77

r= 5.1

Also, the expression for the circumference is

C= 2πr

substitute

C= 2*π*5.1

C= 10.2π

Hence the circumference is 10.2π

Answer:

15.9

Step-by-step explanation:

O/A

Tan47=17/x

x=17/tan 47

Answer:

32x-8y-3

Step-by-step explanation:

4(8x-2y)-3

4 x 8x = 32x

4 x 2y = -8y

Answer:

(x-5)² + y² = 4

Step-by-step explanation:

formula of circle: (x-h)² + (y-k)² = r²  where (h,k) is coordinate of center and r is radius

center: (5 , 0)    r = 2

Equation: (x-5)² + y² = 4

Answer:

See explanation

Step-by-step explanation:

A scout troop is going hiking. They have 75 energy bars, 35 energy drinks, and 45 bottles of water. If each scout gets the same amount of supplies with NONE left over, what is the largest possible # of scouts in the troop

Energy bars = 75

Energy drinks = 35

Bottles of water = 45

75 = 1, 3, 5, 15, 25 and 75

45 = 1, 3, 5, 9, 15, and 45

35 = 1, 5, 7 and 35

The highest common factor of 75, 35 and 45 is 5

Therefore, each scout get

Energy bars = 75/5

= 15 each per scout

Energy drink = 35/5

= 5 each per scout

Bottle water = 45/5

= 9 each per scout

Answer:

y =MX + c is the formula of slope intercept form

Answer:

C

Step-by-step explanation:

The equation of the line in the slope-intercept form is: [tex]y = 4 - \frac{3x}{2}[/tex].

The slope of the parallel line is the same: [tex]m = - \frac{3}{2}[/tex].

So, the equation of the parallel line is: [tex]m = - \frac{3x}{2} + a[/tex].

To find a, we use the fact that the line should pass through the given point: [tex]-3 = (-\frac{3}{2})*(4)+a[/tex].

Thus, [tex]a=3[/tex].

Therefore, the equation of the line is: [tex]y = 3 -\frac{3x}{2}[/tex].

Answer:

x=240

Step-by-step explanation:

x-60=180

add 60 to both sides

x=240

Answer:

x = 240

Step-by-step explanation:

180 + 60 = x

180 + 60 = 240

Answer:

4 students

Step-by-step explanation:

32 - 3 = 29

10 + 15 = 25

29 - 25 = 4

Answer:

w = 52°

Step-by-step explanation:

We know that the sum of the angle of a triangle is equal to 180 degrees

In this figure,

w+w+76 = 180

As w = w (Vertically opposite angles)

So,

2w = 180-76

2w = 104

w = 52

So, the value of w is equal to 52°.

Answer:

9 units

Step-by-step explanation:

because if the y-axis is 5 and the x-axis is 9, the line is 9 units.

The population of Indiana in 2007 can be estimated by using the annual growth rate of 0.6% between 1998 and 1999 and the population in 1999, which was approximately 286,485,882.

To find the population in 2007, we need to calculate the growth from 1999 to 2007. We can do this by multiplying the population in 1999 by 1 plus the growth rate raised to the power of the number of years between 1999 and 2007.
Let's calculate step by step:
1. Calculate the number of years between 1999 and 2007: 2007 - 1999 = 8 years.
2. Calculate the growth rate per year: 0.6% = 0.006.
3. Calculate the population in 2007: 273,000,000 * (1 + 0.006)^8 = 273,000,000 * 1.048834 = 286,485,882 (approximately).
Therefore, based on this model, the population of Indiana in 2007 would be approximately 286,485,882.
For more similar questions on annual growth rate

brainly.com/question/30798879

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orbit =365.256days

distance=149.60km

Answer:

16 miles

Step-by-step explanation:

1/64g = 1/4m

*64          *64

1g=   16 miles

Answer:

10 ft 2

Step-by-step explanation:

A=a+b2h=3+72·2=10

Answer:

C. Points F, J, and H are collinear.

Step-by-step explanation:

Given

See attachment for triangle

Required

Which statement is false

Options A, B and D are true while C is false.

Two points are said to collinear if a straight line can pass through them.

From the attached triangle, we can see that a straight line cannot pass through F, J and H.

Hence, they are not collinear.

Since the statement is false, then it cannot be used as part of the proof.

Step-by-step explanation:

hope it is helpful to you

Answer: 343.75

Step-by-step explanation:

There are multiple ways to do this

1) Use decimals

25% is equal to 0.25

To find 25% of 1375, multiply 0.25x1375.

0.25x1375

=343.75

Or you can use fractions!

25%=0.25

0.25=1/4

Divide 1375 by 4

=343.75

25% of 1375 is equal to 343.75

Answer: 224 feet

Step-by-step explanation:

Each curtain is 48 inches long, and she wants to make 56 curtains.

However, the fabric store sells by the foot.

There are two ways to do this:

1) You can convert beforehand.

48 inches= 4 feet because 1 inch=1/2 foot.

Multiply 48 by 1/12 to find how many feet are in 48 inches.

= 48/12

=4

So 48 inches= 4 feet

Now, each curtain is 4 feet. There are 56 curtains to be made.

Now multiply by 4 to find how many feet are in 56 curtains.

56x4=224 feet.

Answer= 224 ft

Or: You can convert afterwards

48x56= how many inches in 56 curtains

= 2,688 inches

Then, convert to feet!

1 inch= 1/12 foot

2688 multiplied by 1/12:

=2688/12

=224 feet

Answer= 224 feet

Either way, you both get 224 feet.

Answer:

third side = 10

I hope it's helps you

Answer:

4^8

Step-by-step explanation:

the answer is 100 degrees I got tht answer right

Answer:

＋10 on both sides so

X+10-(10)>14-(10)

x>4

Answer:

x > 24

Step-by-step explanation:

Alright so! Add 10 to both sides and you'lll get your answer!

Answer:

2π r(15 + r ) = 650

Step-by-step explanation:

The formula for TSA of cylinder is 2πr (r +h)

so

The correct equation is

2π r(15 + r ) = 650

hope it helps :)

Pythagorean theorem

a^2+b^2=c^2

a=c^2-b^2

Step-by-step explanation:

c=a^2+b^2

5^2+12^2=13

a=c^2-b^2

15^2-5^2= 14.1

Answer:

Number line A.

Step-by-step explanation:

The first number line A, represents x > 7, which the unshaded circle starting from 7 and moving to the right.

Number line B represents x < 7 with the direction being to  the left (opposite of A).

Number line C is synonymous with A, however the starting point is shaded which represents x ≥ 7

Number line D also follows up from B with D representing x ≤ 7

Answer:

167.36 weeks

Step-by-step explanation:

Given: Currently has $180, the cost is $860, and he plans to save $68 a week

To find: How many weeks will it take to save his money

Solution: If Barry currently has $180 and needs $860 for his tires also saves $68 a week, divide the amount he wants to save by the amount he saves a week, to find how many weeks will it take to save his money

                                          860 ÷ 68 = 12.64

Subtract 180 because he already has $180 saved currently

                                           180 - 12.64 = 167.36

Hence, it will take approximately 167 weeks to save his money up to $860

Answer: 66

Step-by-step explanation:

just do this, 180-114= 66 it's not even that hard.

hope this helps.