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wolverine [178]
3 years ago
12

3. Vijay plans to reorganize the music on his MP3 player. After the

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

Answer:

Step-by-step explanation:

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A​ hot-air balloon is flying at an altitude of 2999 feet. If the angle of depression from the pilot in the balloon to a house on
Bezzdna [24]

Answer:

5668.3

Step-by-step explanation:

The problem can be represented as a right angled triangle as shown below.

The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.

The altitude of the balloon is 2999 feet. (opposite)

Using trigonometric function, SOHCAHTOA, we can solve this:

sin(34) = \frac{opposite}{hypotenuse}\\ \\sin(34) = \frac{altitude}{distance}\\\\sin(34) = \frac{2999}{distance}\\\\distance = \frac{2999}{sin34}\\\\distance = 5668.3 feet

The pilot is 5668.3 feet far away from the house.

4 0
4 years ago
The diameter of the moon is 2160 miles. A model has a scale of 1in and 150mi. What is the diameter of the model
kaheart [24]
Let x = diameter

x=2160 x (1/150)
x=2160/150
x=14.4

Diameter of the model is 14.4.
3 0
3 years ago
5 : 22.17. A flagpole is n feet tall. On this pole we display flags of the following types: red flags that are 1 foot tall, blue
Rom4ik [11]

Answer:

Prove attached below

Step-by-step explanation:

Attached below is the detailed solution to prove that there are

\frac{2}{3} 2^n + \frac{1}{3} (-1)^n

flagpole length = n feet

number of flags = 3

4 0
3 years ago
Misty bought a package of three T-shirts for $18.75. What is the unit price per T-shirt?
exis [7]
$18.75/3 shirts= $6.25 per shirt.
5 0
4 years ago
What is the next number?<br> 2, 7, 26, 101, 400, ?
densk [106]
It is 1595. Put it on excel so you can better have an overview how it is done. You need 5 columns, column A-E. On column A, put 1 to 5 in rows 1 to 5. On column C, put the answers: 2, 7, 26, 101 and 400. On column D, put number 3 in all 5 rows. Back on column B, insert =sum(C1-A1) on row 1 and copy till row 5. On column E, insert =sum(B1+C1*D1) on row 1 and copy till row 5 and you will get 1595 at the end.
3 0
3 years ago
Read 2 more answers
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