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laiz [17]
2 years ago
7

Two airplanes leave the airport. Plane A departs at a 44° angle from the runway, and plane B departs at a 40° angle from the run

way. Which plane was farther away from the airport when it was 6 miles from the ground? Round the solutions to the nearest hundredth.
Group of answer choices

Plane A because it was 31.67 miles away

Plane A because it was 22.78 miles away

Plane B because it was 34.23 miles away

Plane B because it was 26.22 miles away
Mathematics
2 answers:
lawyer [7]2 years ago
3 0

Answer: Answer:

Plane B was farthest away from the airport

Step-by-step explanation:

"This question requires you to visualize the run way as the horizontal distance to be covered, the height from the ground as the height gained by the plane after take of and the distance from the airport as the displacement due to the angle of take off.

In plane A

The take-off angle is 44° and the height gained is 22 ft.

Apply the relationship for sine of an angle;

Sine Ф°= opposite side length÷hypotenuse side length

The opposite side length is the height gained by plane which is 22 ft

The angle is 44° and the distance the plane will be away from the airport after take-off will be represented by the value of hypotenuse

Applying the formula

sin Ф=O/H where O=length of the side opposite to angle 44° and H is the hypotenuse

In plane B

Angle of take-off =40°, height of plane=22miles finding the hypotenuse

Solution

After take-off and reaching a height of 22 ft from the ground, plane A will be 31.67 miles from the airport

After take-off and reaching a height of 22 ft from the ground, plane B will be 34.23 miles away from the airport."

Excerpt from Brainly

Aliun [14]2 years ago
3 0
Your answer is Plane B was farthest away from the airport.
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Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package.
Arturiano [62]

Answer:

<u>A. When Rita started, she had 7 packages of saplings.</u>

<u>B. If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of packages Rita started = x

Number of saplings per package = 5

Number of saplings planted by Rita = 15

Number of saplings left = 20

2. How many packages of saplings did she start with?

Number of packages Rita started = (Number of saplings planted by Rita + Number of saplings left)/Number of saplings per package

Replacing with the real values:

x = (15 + 20)/5

x = 35/5 = 7

<u>When Rita started, she had 7 packages of saplings.</u>

3. What would the solution look like on a number line graph?

If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

5 0
3 years ago
The water reaches a max height when the horizontal distance from the firefighter to the building is approximately __m. Round to
elena-s [515]

The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m

<u>Explanation:</u>

Given:

h(x) = -0.026x² + 0.563x + 3

where,

h(x) is the height of the water

Initial speed, u = 14m/s

angle, θ = 30°

(a)

Horizontal distance = ?

h(x) = ax² + bx + c

the vertex is found at x = -b/2a

where,

x = distance to the maximum height

As compared to the equation given:

a = -0.026

b = 0.563

Thus,

x = \frac{-0.563}{2 X -0.026} \\\\x = \frac{0.563}{0.052}\\ \\x = 10.83m

Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m

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3 years ago
PLEASE HELP ASAP!!!!! a simulation by tossing a coin to model whether these puppies will be male or female. • Let heads (H) = fe
weeeeeb [17]

Answer:

7/10 or 70%

Step-by-step explanation:

There has to be at least two T in each result of the simulation. This means you can also have 3 T's and 4 T's in the result.

These are the results that qualify as having at least two T's.

1. TTTT, 2. TTTT, 3. THTH, 4. HTTT, 5. TTTT, 7. HTHT, 9. THTH

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3 0
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Ashley deposited $4,000 into a savings account that earns 4% simple interest. How much interest did she earn after three years?
Vinil7 [7]

Answer:

for the 1st year she earned 160 so for 3 years she will earn $480

6 0
3 years ago
How can you solve for x and y?
galina1969 [7]

ah, those are systems you want one variable to cancel out. I would time the bottom equation by -1 so x cancels then u solve for y. then u plug all back in to solve for x.

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