Mathematics High School

The light from the Cape Florida Lighthouse in Key Biscayne is visible for a distance of 15 mi. If the beam of light sweeps in an arc of 270°, what is the area covered by the beam?

Answers

Answer 1

Answer:

Area covered by beam = 530 mi² (Approx.)

Step-by-step explanation:

Given:

Radius = 15 mi

Arc angle = 270°

Find:

Area covered by beam

Computation:

Area of sector = [θ/360][π][r²]

Area covered by beam = [270/360][22/7][15²]

Area covered by beam = [0.75][3.1428][225]

Area covered by beam = 530 mi² (Approx.)

Related Questions

HELP ME PLEASE!!!! I am failing this class and don’t know what to do.

Answers

i have to do formative assignments too

How many edges does a cube has?
A. 10
B. 12
C. 14
D. 16

Answers

Answer:

Hellooo

ur answer is B. 12

Step-by-step explanation:

hope it helps.. thanks

pls consider brainliest

A cube has 12 edges and 6 faces

Does anyone know what the rule for the 2 and 3 table could be

Answers

Answer:

table 2= could be multiply each of the numbers by 4

table three= plug the x value in the equation and the y into the equation and then just solve it and make sure you add eight before you put your answer in.

Step-by-step explanation:

A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. If the sample data lead to a conclusion of underfilling or overfilling (in other words, if they lead to a conclusion that the mean weight is different from 32 ounces), the production line will be shut down and adjusted to obtain proper filling. What conclusion is appropriate when H0 cannot be rejected

Answers

Answer:

There is no significant evidence to conclude that the mean weight of laundry detergent is being underfilled or overfilled.

Step-by-step explanation:

The null hypothesis ; H0 : μ = 32

The alternative hypothesis : H1 : μ ≠ 32

The null hypothesis is the initial truth statement, therefore, when the Null hypothesis cannot be rejected, the conclusion goes thus :

There is no significant evidence to conclude that there is difference in the mean weight of laundry detergent. Hence, detergent is neither being underfilled or overfilled.

A bag contains 20 pink candies, 8 red candies, and 12
green candies. Without looking, Sarah pulls out a piece of
candy. Which color of candy is least likely to be pulled
out?

Answers

Answer:

red candies

Step-by-step explanation:

Statistically:

• 2/3 (20/30) times the candy will be pink

• 4/15 (8/30) times the candy will be red

• 2/5 (12/30) times the candy will be green

[tex] \frac{20}{30} > \frac{12}{30} > \frac{8}{30} [/tex]

Red candies will be least likely to be pulled.

Factor polynomial by its greatest common monomial factor

Answers

9m is the greatest common monomial factor you can take out of both.

9m(m^2 - 3)

What are some solutions to the inequality x>6?

Answers

Answer:

anything that is greater than 6 like 7, 8, 9, 10, 11, etc...

cuz the inequality would be true; 7 > 6, 10 > 6, etc...

Step-by-step explanation:

hope this helps...

(─‿─)

im spending all my points for this smh

Answers

Answer:

Ask a tutor girl under it you will see ask a tutor so click that

Which values are solutions to the inequality below?
Check all that apply.

Answers

A C and E but sorry if I’m not right

Please help I need the answer it’s due today by 3!!!

Answers

Answer:

x=23

Step-by-step explanation:

90 - 65 = 25

25 - 2 =23

which inequality is graphed below?

Answers

d. the last answer choice

Which value of x makes the equation 1.75(5x − 10) = 10.5 true?

A. -3.2
B. 0.5
C. -0.5
D. 3.2

Algebra

Answers

Answer:

Answer is D) 3.2

Have a nice day!

Help plz I have time and I need to show work

Answers

21 I think but I was just guessing

I need help please is for tomorrow):

Answers

Answer:

Step-by-step explanation:

If a number gets increased by scale factor = k

Then k > 1

If the number gets decreased by a scale factor 'k'

Then 0 < k < 1

Let numbers gets increased by the scale factor = 2,

And decreased by the scale factor = [tex]\frac{1}{2}[/tex]

Numbers Scale up by 2 Scale down by [tex]\frac{1}{2}[/tex]

0.05 0.05 × 2 = 0.1 0.05 × [tex]\frac{1}{2}[/tex] = 0.025

[tex]\frac{1}{2}[/tex] [tex]\frac{1}{2}\times 2 = 1[/tex] [tex]\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}[/tex]

7 7 × 2 = 14 7 × [tex]\frac{1}{2}[/tex] = 3.5

13 13 × 2 = 26 [tex]13\times \frac{1}{2}=6.5[/tex]

25 25 × 2 = 50 [tex]25\times \frac{1}{2}=12.5[/tex]

102 102 × 2 = 204 [tex]102\times \frac{1}{2}=51[/tex]

please also answer this one rlly fast!!

Answers

Answer:

Step-by-step explanation:

1 ÷ 0.25 = 4

Jason a 4 lengths of rope. The lengths are 3 inches, 15 centimeters, 0.3 meters, and 0.5 feet. About how much rope does Jason have [1 inch = 2.5 cm]

Answers

Answer: 67.5 cm

Step-by-step explanation:

Jason has 4 lengths of ropes

first is [tex]3\ in.\approx 7.5\ cm[/tex]

second is [tex]15\ cm[/tex]

Third is [tex]0.3\ m\approx 30\ cm\quad [\text{1 m = 100 cm}][/tex]

fourth is [tex]0.5\ ft\approx 6\ in.\approx 15\ cm\quad [\text{1 ft=12 in.}][/tex]

the total length of rope is the sum of four lengths

[tex]\Rightarrow 7.5+15+30+15=67.5\ cm[/tex]

y = 2x
x = -y + 6

help meee !

Answers

Answer:

x = 2

y = 4

Step-by-step explanation:

y = 2x

x = -y + 6, y = 6 - x

substitute for y:

2x = 6 - x

3x = 6

x = 2

y = 4

77777777777777777777777777777

I know the answer is 1 but I need to show it with positive and negative tiles and I don’t know what to put.
Draw Algebra Tiles to help you solve the following question:
4 - (-5) =

Answers

Answer and Step-by-step explanation:

So, the negatives cancel and turn into a positive.

The red squared of 5 become green squares.

What is the length of the missing leg?

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{10^{2} -8^{2} }[/tex] = 6

Answer:

b = 6

Step-by-step explanation:

Pythagorean formula:

a² + b² = c²

Work:

a² + b² = c²

8² + b² = 10²

64 + b² = 100

b² = 100 - 64

b² = 36

[tex]\sqrt{b^2} =\sqrt{36}[/tex]

b = 6

1.X + 1 3/7 = 4 5/7 Use either method that was
taught.

Answers

Answer:

32/7

Step-by-step explanation:

5400 J of energy is supplied to 3 kg of aluminum, by how much
will the temperature rise? ( c of aluminum is 900 J/kg °C)

Answers

Answer:

20°C

Step-by-step explanation:

Quantity if heat energy supplied is expressed as;

Q = mcΔt

m is the mass = 3kg

Δt is the temperature rise

Q = 5400J

c = 900 J/kg °C

Substitute

5400 = 3(90)Δt

5400 = 270Δt

Δt = 5400/270

Δt = 20°C

Hence the temperature rise is 20°C

I have 8 pennies and some quarters, nickels, and dimes. The number of pennies plus nickels equals the number of dimes. I have 3 quarters for every 2 pennies and 3 dimes for every 2 quarters. How many coins are nickels? A. 28 B. 18 C. 15 D. 10

Answers

The answer is D. 10 nickels

Answer:

The answer is D.) 10

Step-by-step explanation:

I took a quiz and according to that its correct

A study showed that the ratio of the number of people who get their news from social media to the number of people who their news from other sources is 3 to 7. Based on the ratio, how many people in a town of 900 people get their news from social media?

Answers

Answer: 270 people

Step-by-step explanation:

The ratio of the number of people who get their news from social media to the number of people who their news from other sources is 3 to 7.

This shows that the number of people who get their news from social media is 3 out of 10 i.e (3+7).

Therefore, the number of people in a town of 900 people that get their news from social media will be:

= 3/10 × 900

= 270 people.

Answer:

is it right

Step-by-step explanation:

PLEASE HELP ASAPPPPPP!!!!!!!!!!!!

Answers

Answer:

324

Step-by-step explanation:

divide 752 by 2 to get 376

then subtract 52 from 376 to get 324

can someone please help me to do this?