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?

Answer:

x = 7, y = 16

Step-by-step explanation:

From the diagram shown;

2x+5 = x+12

collect the like terms

2x-x = 12 - 5

x = 7

Similarly, y - 4 = x+5

y-4 = 7+5

y - 4 = 12

y - 12+4

y = 16

hence x = 7, y = 16

Answer:

$27

Step-by-step explanation:

Set up a proportion where x is the amount of money he saved:

[tex]\frac{12}{9}[/tex] = [tex]\frac{36}{x}[/tex]

Cross multiply and solve for x:

12x = 324

x = 27

So, he saved $27

Answer:

The Fourth Graph /  D

Step-by-step explanation:

Took The Quiz

Answer:

fourth graph

Step-by-step explanation:

^u^

Answer: A

Step-by-step explanation:

c - 12 > -16

c > -4

A

Answer:

16 feet is the length of the room

Step-by-step explanation:

to find area, you do length x width. If you are trying to find L in L x W = A then you have to divide 240 by 15 to get 16 feet as the length

Answer:

the  area of the lawn in square meters is  60 meters^2

Step-by-step explanation:

The computation of the area of the lawn in square meters is shown below

= 12 meters × 5 meters

= 60 meters ^2

Here we multiply the two sides so that the area of the lawn could be come

Hence, the  area of the lawn in square meters is  60 meters^2

Answer:

14

Step-by-step explanation:

35÷5=7

2×7=14

hope this helps

Answer:

14

Step-by-step explanation:

35÷5=7

7×2= 14

ya welcome

Answer:

W=25-10=15..........

Answer:

Your answer is easy it is 30

please give brainliest

Answer: The answer is 34 13/20.

Step-by-step explanation:

I did it and was correct for me! Hope it helps ❤️

Answer:

34 13/20

Step-by-step explanation:

Answer:

v 39 degree

z 47 degree

x 94 degree

sry don't know about w and y....

Answer:

No Solution

____________________________________________________________

Answer:

Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of regular hexagon

[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]

Answer:

41.57

Step-by-step explanation:

took the test

Answer:

1

Step-by-step explanation:

All variable terms are to the first power. You can prove this by solving:

-5j = -6j - 4

4 = -1j

j = -4 (One answer)  

Answer:

28 and 37

Split 65 into 2 numbers

30 and 35

Then add and subtract till you get your answer

29 and 36

28 and 37

Answer:

a. 6 m/s

Step-by-step explanation:

Distance = 36 meters

Time = 6 seconds

Speed = Distance ÷ Time

Speed = 36 m ÷ 6 secs

Speed = 6 m/s

Answer:

No, these 2 triangles are not congruent as not even 1 side in the triangles has been marked as equal.

Hence, the answer is f) not enough information.

Answer:

10+.15x

Step-by-step explanation:

10 is already the monthly fee and wont change,

.15x is how many songs she gets, which can change

Answer:

0.2297 ;

78% of drivers use their turn signal. Part A: What is the probability that exactly 3 drivers use their turn signal if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver using their turn signal that the police officer pulls over if the fifth driver? (5 points) (10 points)

Step-by-step explanation:

p = 0.78

1 - p = 0.22

P(x = 3)

Using the binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 3) = 5C3 * 0.78^3 * 0.22^2

P(x = 3) = 10 * 0.78^3 * 0.22^2

P(x = 3) = 0.2297

Answer:

26

Step-by-step explanation:

(21+31+36+28+26+x)/6=28

21+31+36+28+26+x= 28×6

142+x =168

x=168-142

x=26

Answer:

$26.94

.................

Answer:

domain is (-1 , 2) and the range is (0 , 4)

Answer:

8, 9

Step-by-step explanation:

The answer is 8, and 9

72 = x*(x+1)

Lets factor out 72

1 x 72

2 x 36

3 x 24

4 x 18

....

8 x 9

8 and 9 are consecutive

Answer:

1) <

2) >

3) =

4) >

5) =

6)<

Mean also means average.

[tex]\frac{50+4}{2}=\frac{54}{2} =27[/tex]

Answer:

A rectangle

Step-by-step explanation:

The given parameters are;

The quadrilateral ABCD is a rhombus;

The length of the sides of the rhombus = 12 inches

The lengths of the sides of a rhombus are equal

The opposite interior angles of the rhombus are equal

The length of each midpoint from the vertex = 12 in./2  = 6 in.

Therefore, we have;

The line joining the midpoints form a quadrilateral with the length of the opposite sides equal

The sum of the interior angles of the rhombus = 180°

From the diagram created with Microsoft Visio, we have;

4·a + 4·b + 360 = 4 × 180 = 360 + 360

4·a + 4·b = 360

a + b = 90°

We have;

The interior angles of the quadrilateral formed = x

a + b + x = 180° Sum of angles on a straight line

∴ x = 180° - (a + b) = 180° - 90° = 90°

x = 90°

Therefore, the interior angles of the quadrilateral formed = 90°

The quadrilateral formed having equal opposite sides, and all interior angle of 90° each is a rectangle

Answer:

$195

Step-by-step explanation:

102/7 = $15/hour

15 x 13 = $195