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Elenna [48]
3 years ago
15

The sum of the measures of two angles is 107.3º. One angle has a measure of 51º. What is the measure of the second angle?

Mathematics
1 answer:
babunello [35]3 years ago
3 0

Answer:

56.3°

Step-by-step explanation:

If the total is 107.3° just subtract 51° to get 56.3°

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IRINA_888 [86]
First a and then b.
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3 years ago
A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14
Oliga [24]

Answer:

Let the distance between woman and pole be "x".

From diagram,

In ΔOAB,

tan 18 = \frac{Perpendicular}{Base}

tan 18 =  \frac{65 -y}{x}

∴ x =  \frac{65 -y}{tan 18} ................ (1)

In ΔOBC

tan 14 = \frac{Perpendicular}{Base}

tan 14 =  \frac{y}{x}

y = x × tan 14 ..............(2)

equating (2) in (1), we get;

x = \frac{65}{tan 18 + tan 14}

x = \frac{65}{0.574}

∵ tan 18 + tan 14 = 0.574

<em>∴ x = 113.2 ft</em>

<em>i.e. The her distance from the pole is 113.2 ft.</em>

3 0
3 years ago
Need help,please. Just need to know how to find N
Iteru [2.4K]

Answer:

16

Step-by-step explanation:

because 7 times 4 is 28

4 times 4 is 16.

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4 0
3 years ago
There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities a
tester [92]

Answer:

190 possibilities.

Step-by-step explanation:

The problem is called 20 choose 2, given by the formula for combinations

C(20,2) = 20! / (2! (20-2)!) = 190

alternatively, we can reason it this way:

there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.

However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

3 0
3 years ago
A parallelogram has a length of 15cm and a height of 7.5cm . Calculate it’s area (step by step)
poizon [28]

Answer:

Area of parallelogram is equal to 112.5cm^2

Step-by-step explanation:

It is given length pf parallelogram which is equal to base of parallelogram is b=15 cm

Height of parallelogram h = 7.5 cm

We have to find the area of the parallelogram.

Area of parallelogram is equal to multiplication of base and height.

Therefore area of parallelogram is,

A=bh, here b is base and h is height.

So A=15\times 7.5=112.5cm^2

Therefore area of parallelogram is equal to 112.5cm^2

3 0
3 years ago
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