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Anna35 [415]
3 years ago
13

What transformation is shown below? (Look carefully at the vertices.)

Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0
The answer is reflection
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A pilot flying at an altitude of 3.7 km sights 2 control towers directly in
Artist 52 [7]

Part A; The plane will have to travel 70.61 km to fly over the first tower

Part B; The plane will have to travel 5.28 km to fly over the second tower

Step-by-step explanation:

Step 1; Assume the plane is x km away from the control tower. We know it is flying at a height of 3.7 km and an angle of depression of 3°. So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 3.7 kilometers while the opposite side measures x kilometers. The angle of the triangle is 3°

Step 2; Since we have the length of the opposite side and the angle of the triangle, we can determine the tan of an unknown angle.  

tan 3°= \frac{3.7}{x}, x =  \frac{3.7}{tan 3}, tan 3° = 0.0524,

x = 70.6106 kilometers.

So the plane must travel 70.61 km to fly over the first tower.

Step 3; Assume the plane is y km away from the control tower. We know it is flying at a height of 3.7 km and an angle of depression of 35°. So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 3.7 kilometers while the opposite side measures y kilometers. The angle of the triangle is 35°

Step 4; Since we have the length of the opposite side and the angle of the triangle, we can determine the tan of an unknown angle.  

tan 35°= \frac{3.7}{y}, y =  \frac{3.7}{tan35}, tan 35° = 0.7002,

y = 5.2842 kilometers.

So the plane must travel 5.28 km to fly over the second tower.

5 0
3 years ago
Combine the like terms to create an equivalent expression.<br> 5 + 9t + 3
Butoxors [25]

Answer:

9t + 8

Step-by-step explanation:

Step 1: Write expression

5 + 9t + 3

Step 2: Combine like terms (constants)

9t + 8

5 0
3 years ago
A 20-pack of Dr. Pepper cost $5.50 and a 6-pack cost $1.50. Which is the better deal?​
Irina-Kira [14]

Answer:

Step-by-step explanation:

20-pack of Dr. Pepper cost $5.50 . As per this deal

  Cost of one pack = 5.5/20 = $ 0.275

a 6-pack cost $1.50.As per this deal

  Cost of one pack = 1.50/6 = $ 0.25

A 6-pack cost $1.50 is the better deal.

5 0
3 years ago
For one full week, Cheng spent $12.50 per day on lunch. Write a multiplication expression using integers to show the overall imp
grin007 [14]
Answer is :a x 12.50= 87.5
3 0
3 years ago
500 increased by 30%
fgiga [73]

500 + 30% equals 650. 30% of 500 equals 150.

4 0
3 years ago
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