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Musya8 [376]
3 years ago
15

NENU

Mathematics
1 answer:
Eddi Din [679]3 years ago
3 0

Answer:

22

Step-by-step explanation:

First arrange the given data in ascending order

17 17 17 18 20 21 21 22 22 22 22 22 22 22.5

The median is the middlemost value, so the median is 22

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Jon is in a raft 100m from the base of a 54m cliff. What is the angle of depression from the he top of the cliff to the raft? Le
kvv77 [185]

Answer:

28.4 degrees

Step-by-step explanation:

In the diagram attached

Height of the cliff, AB=54 m

Distance of the raft to the base of the cliff, AC=100m

We want to determine the angle of depression from the top of the cliff to the raft. This is angle OBA.

\angle OBA = \angle BAC $ (Alternate Angles)\\Therefore, in the right triangle ABC\\\tan A =\dfrac{BC}{AC}\\ \tan A =\dfrac{54}{100}\\\tan A =0.54\\A=\arctan 0.54\\A=28.4^\circ$ (to the nearest tenth)

The angle of depression from the top of the cliff to the raft is 28.4 degrees correct to the nearest tenth.

5 0
3 years ago
An isosceles trapezoid has a perimeter of 37 centimeters. Its shorter base measures 3 centimeters and its longer base measures 4
koban [17]

<u>Given:</u>

An isosceles trapezoid has a perimeter of 37 centimeters. Its shorter base measures 3 centimeters and its longer base measures 4 centimeters. The two remaining sides have the same length.

We need to determine the lengths.

<u>Length of the remaining sides:</u>

Let the length of the sides of the isosceles trapezoid be x.

Let a be the length of the shorter base.

Let b be the length of the longer base.

Thus, we have;

a=3, b=4

The formula to determine the length of the sides is given by

Perimeter = a+b+c+d

Substituting the values, we get;

37=3+4+x+x

37=7+2x

30=2x

15=x

Thus, the length of the sides of the isosceles trapezoid is 15 centimeters.

6 0
3 years ago
Jerome is on top of a mountain that is 12,060 feet
pochemuha

Answer:

120

Step-by-step explanation:

7 0
3 years ago
Which geometric terms are modeled by the Eiffel Tower
Lyrx [107]
Point and line are geometric terms for the Eiffel Tower
3 0
3 years ago
5 positive integers that have a mode of 2, a median of 5, a mean of 6 and a range of 10.
liubo4ka [24]

The numbers should be 2, 2, 5, 9 and 12.

<h3>What is mean, mode and median?</h3>

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list.

The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Let us take numbers 2, 2, 5, 9 and 12.

  • Mean = 192+2+5+9+12)/5

mean = 30/5

mean= 6

  • mode = 2

  • median = 5

  • range = 12-2

range = 10.

Learn more about mean, mode and median here:

brainly.com/question/15323584

#SPJ1

3 0
2 years ago
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