MATHEMATICS HIGH SCHOOL

Help me please seriously my work is due at 2pmThe beam from a lighthouse is visible for a distance of 14 mi. To the nearest square mile, what is the area covered by the beam as it sweeps in an arc of 270°?

The beam covers an area of _____ mi^2.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

area of a circle= (pi) x r^2

a= 3.14 x 7^2

a=3.14 x 49

a= 153.86 mi^2

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AEFGH is a rhombus. Given EG = 22 and FH = 20, what is the length of one side of the rhombus?
Please help :/

Answers

Applying the properties of a rhombus and the Pythagorean Theorem, the length of one side of the rhombus is: 14.9

Recall:

The diagonals of a rhombus bisect each other at right angles, thereby forming 4 right triangles.

Half of a diagonal and half of the other diagonal make up a right triangle.

Thus, given:

EG = 22 (diagonal)
FH = 20 (diagonal).

Find the length of one side using Pythagorean theorem as shown below:

$HG = \sqrt{((1)/(2)EG)^2 + ((1)/(2)FH)^2 } \n\n$

Substitute

$HG = \sqrt{((1)/(2) * 22)^2 + ((1)/(2) * 20)^2 } \n\nHG = √(11^2 + 10^2) \n\n\mathbf{HG = 14.9}$

Therefore, applying the properties of a rhombus and the Pythagorean Theorem, the length of one side of the rhombus is: 14.9

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brainly.com/question/24618146

3.How tall is the goal post?

Answers

The length of fenceshadow is 16.25 feet.

What is Proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, tworatios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

length of Shadow Height

8 20

12 x

18 y

z 6.5

Using proportion

8/12 = 12 / x

8x = 144

x= 144/8

x= 18

and, 8/ 20 = 18/ y

8y = 360

y = 360/ 8

y = 45

and, 8/20 = z/6.5

130 = 8z

z= 16.25

Hence, the length of fence shadow is 16.25 feet.

Learn more about Proportion here:

brainly.com/question/29774220

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45 because 20 Time 18 is 360 then divide that by 8 and u get 45

Help plz fast and thank you!

Answers

Answer:

45 (1+2)

Step-by-step explanation:

Answer:5,5,4

Step-by-step explanation:5+4=9

9*5=45

If the ratio of men to women in a movie theater is 1.00 when written as a decimal, what must be true?

Answers

what must be true? answer is The ratio of women to men in the theater is 0.50 and this because it would be Number of Men is 1 = Number of Women = 1. Total people = 2. Ratio of women to total = 1

Answer:it’s actually ratio of women to total people in the theater is 0.50

Step-by-step explanation:

A ratio of 1.00 for men to Women indicates that the number of men is equal to the number of women. In other words half of the people in the theater are men and the other half or women. Therefore, the ratio of women to total people must be 1/2 = 0.50

Is the equation true, false or open? 4y+8=6y+3

Answers

It is a true equation.
4y + 8 = 6y + 3
4y - 6y = 3 - 8
-2y = -5
-y = -5/2
-y = -2,5
y = 2.5
And if you use y back in the original equation, it will be:
4*2.5 + 8 = 6*2.5 +3
10 + 8 = 15 + 3
18 = 18

Round off 4252 to one significant figure