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Amiraneli [1.4K]
2 years ago
9

An angle measures 14° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
Mars2501 [29]2 years ago
7 0

Answer:Complementary angles are two angles whose degree measurements add up to 90 degrees. The first angle would be (x + 14.4) and its complementary angle would be x. Therefore, you would set up this problem as: x + (x + 14.4) = 902x + 14.4 = 902x = 75.6 x = 37.8  (one angle)And (x + 14.4) = 52.2 (other angle). 

To check: 37.8 + 52.2 = 90

Step-by-step explanation:

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A plane traveling with the wind travels 900 miles in 5 hours. the return trip is against the wind and takes 9 hours. find the ra
Aneli [31]

Using the relation between velocity, distance and time, it is found that:

  • The rate of the plane in still air is of 140 mph.
  • The rate of the wind is of 40 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, that is:

v = \frac{d}{t}

A plane traveling with the wind travels 900 miles in 5 hours, hence:

v_a + v_w = \frac{900}{5}

v_a + v_w = 180

The return trip is against the wind and takes 9 hours, hence:

v_a - v_w = \frac{900}{9}

v_a - v_w = 100

From the first equation, we have that:

v_w = 180 - v_a{/tex]Replacing on the second:[tex]v_a - v_w = 100

v_a - 180 + v_a = 100

2v_a = 280

v_a = 140

[tex]v_w = 180 - 140 = 40{/tex]

Hence:

  • The rate of the plane in still air is of 140 mph.
  • The rate of the wind is of 40 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

4 0
2 years ago
Frozen apple juice comes in a cylindrical can. A can is 12 cm high and has a radius of 3.5 cm. What is the capacity of the can?
34kurt

Answer:

438.501cm^3

Step-by-step explanation:

Given data

Height of can= 12cm

Radius= 3.5cm

The capacity of the can is expressed as

V= πr^2h

V= 3.14*3.5^2* 12

V= 3.14*12.25*12

V= 461.58cm^3

Hence the capacity is 461.58cm^3

We are also given that the juice amount to 95% of the capacity of the can

95/100*461.58= x

0.95*461.58=x

x=438.501cm^3

This means that the volume of the juice is 438.501cm^3

8 0
3 years ago
There are 24 red flowers and 16 yellow flowers. What percent of the flowers are<br> yellow?
Taya2010 [7]
24+16=40
100/40=2.5
2.5 x 16 = 40
40% of the flowers are yellow

Hope this helps
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3 years ago
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Andrew [12]

Answer:

A

Step-by-step explanation:

i = items sold

p = profit

Based on the table, the profit is twice the number of items sold. Therefore the answer is A. Correct me if I'm wrong. I hope it helps.

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At a shelter, 25% of the dogs are puppies. There are 32 dogs at the shelter. How many are puppies?
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Answer:

The answer is 8

Step-by-step explanation:

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