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3 years ago

10. A parasailor is attached to a boat with a rope 80 feet long. The angle of elevation

Mathematics

1 answer:

Gwar [14]3 years ago

6 0

Answer:

The parasailor height is 47ft

Step-by-step explanation:

We can think of the problem as a right triangle, the string would be the hypotenuse and the height of the parasailor would be a leg.

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 36°

a: adjacent

o: opposite = ?

h: hypotenuse = 80ft

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, hypotenuse, opposite)

is the sine

sin α = o/h

sin 36° = o/80

sin 36° * 80 = o

47.02 = o

if we round to the nearest tenth

47.02 = 47.0

The parasailor height is 47ft

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PLEASE HELP ME !!

V125BC [204]

Answer:

$\huge\boxed{\sf The\ co-efficient\ of\ x\ is\ -4.}$

Step-by-step explanation:

Slope = m = -4

Y-intercept = c = -7 ( Because that is the point where x = 0 )

<u>Equation:</u>

$\sf y = mx+c\\\\y = -4 x+(-7)\\\\y = -4x-7$

So, The co-efficient of x is -4.

$\rule[225]{225}{2}$

Hope this helped!

6 0

3 years ago

the amount of lemonade at the beginning of the party was 45 quart. At the end of the party there was 8 quarts left. What was his

motikmotik

His percentage of change in the amount of quarts is 82.22%.

Initial amount of lemonade = 45 quart

End amount of lemonade = 8 quart

Change in amount = 45 - 8

= 36

Percent = $\frac{change in value}{initial value}*100$

= $\frac{37}{45}*100$

= 0.8222 * 100

= 82.22%

Hence, his percentage of change is 82.22%.

To learn more about percentage here:

brainly.com/question/28269290

#SPJ1

8 0

1 year ago

In a certain company, all employees are either beta employees or standard employees. In this company, 25% of the beta employees

marissa [1.9K]

In addition to the question, the following conditions must be met:

(1) M > 100

(2) more than 130 employees participate in the voluntary equity program

Answer:

Value of A is 200

Step-by-step explanation:

In this scenario when we divide 100 by the percentage of each employee category we will get a proportion that the number of employees must obey.

This is illustrated below:

For Beta employees 100/25= 4

So the number of employees that are Beta must be divisible by 4

For Standard employees 100/17 = 5.882

Since fractions of employees cannot be obtained, in this case the number of employees must be a multiple of 100

Total employees are 600

The various combinations are:

1. Beta employees 500 and Standard employees 100

Survey participants= (0.25 * 500) + (0.17 * 100) = 142

Number of participants is okay as it is >130 but does not satisfy Standard employees being >100

2. Beta employees are 300 and Standard employees are 300

Survey participants = (0.25 * 300) + (0.17 * 300) = 126

This does not satisfy condition of survey participants >130

3. Beta employees 400 and Standard employees 200

Survey participants = (0.25 * 400) + (0.17 * 200) = 134

This satisfies conditions of >130 survey participants and Standard employees >100

So correct value of S is 200

4 0

3 years ago

Find the distance, to the nearest tenth, from T(4-2) to U(-2,3)

kiruha [24]

Distance = SQRT(x^2+y^2)
x = 4 - (-2) = 6
y = 3 - 2 = 1

distance = SQRT(6^2 + 1^2) = SQRT(36+1) = SQRT(37) = 6.1

4 0

3 years ago

Plz give me explanation how to solve

skelet666 [1.2K]

120 people who all need 1 drink, so if each drink needs .5 cups of concentrate you will do 120d × 0.5 = 60 total cups of concentrate. if you then set up a fraction, you could cross multiply to get the answer, but I cant do fractions here so I'll say this: if every 5 cups of concentrate gives 19 cups of water, then you divide 60 cups by 5 cups to see how many "batches" of this recipie you will need, you get 12 batches, so 12 x 19 (cups of water per batch) to get 218 ( I think, check my math with a calculator

4 0

3 years ago