Order each set of numbers from least to greatest verify your answer by graphing on the number line

Mathematics

1 answer:

Law Incorporation [45]3 years ago

8 0

The answer is in the picture below this:

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Bashir works in a weather station and has launched a weather ballon. The height of the baloon is 4 kilometers and it is 1 kilome

andrew-mc [135]

Answer:

Explanation:

We are given that the height of the balloon is 4 km and that it is 1 km away from the station.

Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image

where:

height of the balloon = 4 km represents one side of the triangle

distance between the base of the balloon and the station = 1 km represents the other side

distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.

To get the length of the hypotenuse, we will use the Pythagorean theorem

$hypotenuse = +\sqrt{(side1)^2 + (side2)^2}$

Substitute with the givens:

$hypotenuse = +\sqrt{(4)^2 + (1)^2}$ = √17 ≈ 4.1 km

Hope this helps :)

3 0

3 years ago

Map of field: 12 in × 15 in

alexdok [17]

Multiply the dimensions by 3 to convert to feet.

12 x 3 = 36 ft.

15 x 3 = 45 ft.

the dimensions are 36 ft. x 45 ft.

4 0

3 years ago

A pentagon can be divided into five congruent triangles. The function t=5 tan theta models the height of each triangle. What is

pentagon [3]

We assume that the dimension 5 has units of feet.

The area of each triangle will be
A = (1/2)bh
where b=2×(5 ft), h=(5 ft)tan(54°)
Then
A = (1/2)(2×5 ft)(5 ft)(tan(54°)
A = 25×tan(54°) ft²

There are 5 such triangles making up this pentagon, so the total area is
total area = 5×25×tan(54°) ft² ≈ 172 ft²