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lara [203]
3 years ago
5

A plane flying horizontally at an altitude of 3 mi and a speed of 440 mi/h passes directly over a radar station. find the rate a

t which the distance from the plane to the station is increasing when it is 4 mi away from the station. (round your answer to the nearest whole number.)
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0
Let α represent the acute angle between the horizontal and the straight line from the plane to the station. If the 4-mile measure is the straight-line distance from the plane to the station, then
  sin(α) = 3/4
and
  cos(α) = √(1 - (3/4)²) = (√7)/4

The distance from the station to the plane is increasing at a rate that is the plane's speed multiplied by the cosine of the angle α. Hence the plane–station distance is increasing at the rate of
  (440 mph)×(√7)/4 ≈ 291 mph
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x^2+y^2=25\implies (x-0)^2+(y-0)^2=5^2

so notice above, the circle is centered at h,k or 0,0, the origin, and has a ratio of 5.

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7 0
3 years ago
What would be themost approriate cudtormy unit to measure the weight of a paper clip. ounces or pounds?
Dmitrij [34]
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6 0
3 years ago
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5:2 but, after Jacky gave 15 dolls to Peter, the
sleet_krkn [62]

Answer:

70 dolls

Step-by-step explanation:

Hello!

The ratio is 5:2, which are division of  a whole. They can be represented as 5x and 2x.

Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.

Equation:

  • 5x - 15 = 2x + 15

Solve:

  • 5x - 15 = 2x + 15
  • 5x - 30 = 2x
  • 5x = 2x + 30
  • 3x = 30
  • x = 10

So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.

The total sum is 70 dolls.

4 0
2 years ago
Read 2 more answers
At Cindy's birthday each guest will get one-third of a medium sized pizza. There will be 12 people at the party, including Cindy
tiny-mole [99]

Answer: 4 pizzas

Step-by-step explanation:

There are to be 12 people at the party.

Each person is expected to take 1/3 of a pizza.

The total number of pizza needed is therefore:

= No. of people * quantity of pizza

= 12 * 1/3

= 4 pizzas

<em>Note: Answer would be 6 if each guest wanted 1/2 of a pizza. </em>

3 0
2 years ago
g A trial jury of 6 people is selected from 20 people: 8 women and 12 men. What is the probability that the jury will have an od
cricket20 [7]

Answer: P(odd) = 0.499

Step-by-step explanation:

Given:

Total number of people = 20

Number of men = 12

Number of women = 8

Number of jury to be selected = 6

For the jury to have an odd number of women. it must have either of the three.

1. 1 woman , 5 men

2. 3 women, 3 men

3. 5 women, 1 man

The total possible ways of selecting the 6 people jury is;

N = 20C6 = 20!/6!(20-6)!

N = 38760

The possible ways of selecting;

Case 1 : 1 woman, 5 men

N1 = 8C1 × 12C5

N1 = 8 × 792 = 6336

Case 2 : 3 women , 3 men

N2 = 8C3 × 12C3

N2 = 12320

Case 3 : 5 women, 1 man

N3 = 8C5 × 12C1

N3 = 672

P(Odd) = (N1+N2+N3)/N

P(odd) = (6336+12320+672)/38760

P(odd) = 19328/38760

P(odd) = 0.499

6 0
2 years ago
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