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4 years ago

11

How do I work out "The beam from a lighthouse reaches a distance of 8 kilometers and spreads to an angle of 35 degrees. Calculat

e the area covered by the beam from the lighthouse."

1 answer:

kifflom [539]4 years ago

3 0

The whole circle has 360 degrees

You just need to count the area of circle with radius of 8 km and then multiple it by the fraction 35 over 360.

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Write an equation for the line parallel to the given line that contains C.

lyudmila [28]

ANSWER

$y= - 4x + 18$

EXPLANATION

The given line has equation;

$y = - 4x + 5$

The slope of this line is

-4

The given line is parallel to this line so it has the same slope:

$m = - 4$

The equation of this line is in the form:

$y-y_1=m(x-x_1)$

We substitute the slope and the point:

(3,6)

$y-6= - 4(x-3)$

$y= - 4x + 12+ 6$

$y= - 4x + 18$

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3 years ago

The line graph shows the number of goals scored

Neporo4naja [7]

Answer:

a) 1 game

b) 41 goals

c) median = 2

Step-by-step explanation:

a)

As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.

b)

To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:

total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals

c)

To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.

We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.

8 0

3 years ago

In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot.

Dimas [21]

Answer:

the length of RS to the nearest tenth of a foot is 240.6ft

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3 years ago

A student has a monthly budget of $800. She can spend her budget on two items, X and Y. Each unit of X costs $20 and each unit o

Aleonysh [2.5K]

Answer:

Check the explanation

Step-by-step explanation:

Total utility is the overall satisfaction that a particular consumer received from consuming a given overall quantity of a good or service, To calculate the value of total utility economists utilize the following basic total utility formula: TU = U1 + MU2 + MU3

Kindly check the attached image below to see the step by step explanation to the question above.

3 0

4 years ago

Easy only shapes there might be multiple answers but it could only be 1 answer

Pavel [41]

Answer:

I think this one would be none of the above

5 0

3 years ago