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madam [21]
3 years ago
11

a seesaw with the construction shown is being built at a playground. The seating board will be 8 feet long and the board will ma

ke an angle at 25 degrees when it touches the ground. Create and use a model to find the height of the central support (cr).Type out your work and explain your answer. Round your answer to the nearest tenth.

Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Answer:

1.7 feet

Step-by-step explanation:

R is the midpoint of QS, so RS = 4 feet.

Using sine:

sin 25° = RT / 4

RT = 4 sin 25°

RT ≈ 1.7

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First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.

Recall the Pythagorean identity:

sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1

Then

sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5

and so

tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3

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4 0
2 years ago
By the age of 21, the best violinist and pianist will have practiced at least 10,000 hours. If you practice and instrument 45 mi
Alika [10]

Answer:

273.94 hours.

Step-by-step explanation:

1 day = 0.75 hours of practicing in a day.

365.25 = x

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x = 0.75 * 365.25        Combine

x =  273.94 hours

8 0
3 years ago
Explain in your own words how a rocket is able to lift off
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Hope that helps!
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Ede4ka [16]

Solution:

we are given that

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As we know

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{30}_C_6=\frac{30!}{6!24!}\\&#10;\\  {30}_C_6=\frac{25*26*27*28*29*30}{1*2*3*4*5*6}\\&#10;\\  {30}_C_6=593775

Hence the required number of ways is 593775.

7 0
2 years ago
What value of c makes the equation true?
Zina [86]
The answer to this is C
6 0
2 years ago
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