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3 years ago

Explain how you know that 7/12 is greater than 1/3 but less than 2/3

1 answer:

5 0

Simple, 7/12 is greater than 1/3 because 7/12=0.58333 and 1/3=0.333, 0.58333 is greater than 0.333. That is how I know that 7/12 is greater than 1/3. I know that 1/3 is less than 2/3 because 1/3=0.333 and 2/3=0.666, 0.333 is less than 0.666

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1. A plane is flying at an altitude of 13000 feet. The angle of depression from the plane to a control tower is 20 degrees. The

Mariulka [41]

Answer:

see explanation

Step-by-step explanation:

There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.

The height above the tower to the plane = 13000 - 150 = 12850 ft

The angle between the plane and the tower is 20° , angle of depression.

Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then

tan20° = $\frac{opposite}{adjacent}$ = $\frac{12850}{hor}$ ( multiply both sides by hor)

hor × tan20° = 12850 ( divide both sides by tan20° )

hor = $\frac{12850}{tan20}$ ≈ 35305 ft ( to the nearest foot )

(2)

Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )

Using the right triangle formed with legs 65 and 37 and angle of depression x, then

tanx° = $\frac{opposite}{adjacent}$ = $\frac{37}{65}$ , thus

x = $tan^{-1}$ ( $\frac{37}{65}$ ) ≈ 30° ( to the nearest degree )

4 0

3 years ago

Read 2 more answers

Please help me I'm stressing out anyone that's not done or you think that I'll need help with

Nataliya [291]

1. 7.25
2. 6.125
3. 3.4
4. 0.15
5. 77
6. 2.15
7. 33.16
8. 1.95
9. 19
10. 0.3
11. 6.2
12. 405
13. 250
14. 11.8

5 0

3 years ago

Read 2 more answers

Light in vacuum is incident on the surface of a slab of transparent material. In the vacuum the beam makes an angle of 43.8° wit

REY [17]

Answer:

Index of refraction of transparent is 1.48

Step-by-step explanation:

Snell's law states that;

n1(sinθ1) = n2(sinθ2)

Where;

n1 and n2 represent the indices of refraction for the two media, and θ1 and θ2 are the angles of incidence and refraction that the ray R makes with the normal.

In this question;

n1 = 1;

θ1 = 43.8°

θ2 = 19.3°

n2 is unknown.

Thus using Snell's law, we have;

1 x sin 43.8 = n2 x sin 19.3

n2 = (sin 43.8)/sin 19.3

n2 = 1.48

4 0

3 years ago

-5x+6y=2 . What is the slope of the line ?

katen-ka-za [31]

Answer:

The slope is m=5/6 .

4 0

3 years ago

The value of an industrial machine has a decay factor of 0.75 per year. After six years, the machine is worth $7,500. What was t

8090 [49]

Given that the value of an industrial machine has a decay factor of 0.75 per year, and after six years, it became $7,500 only, this would mean that the original value of the machine would be solved like this: 7500 = x(1-.75)^6
7500 = x(0.25)^6
7500 = x(0.00024414062)
7500 = 0.00024414062x
x = 30, 720, 000
Hope this answers your question.

7 0

3 years ago