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Marysya12 [62]
2 years ago
7

A triangular portion of a baseball field is marked as shown below. To the

Mathematics
1 answer:
Illusion [34]2 years ago
5 0

Answer:

D. 1.6 yd

Step-by-step explanation:

Use the law of sines.

\dfrac{c}{\sin C} = \dfrac{a}{\sin A}

\dfrac{c}{\sin 28^\circ} = \dfrac{2~yd}{\sin 36^\circ}

c = \dfrac{2~yd \times \sin 28^\circ}{\sin 36^\circ}

c = 1.6~yd

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Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a spade fo
Gre4nikov [31]

Answer: 0.5049

Step-by-step explanation:

The probability that the first card drawn is a heart is 13/52 = 1/4

The probability that the second card drawn, without replacement, is a spade is 13/51

So the probability of drawing a heart for the first card and spade for the second card is

1/4 + 13/51 = 103 / 204 = 0 5049

8 0
3 years ago
Someone pls help, its on trig ratios.
Mars2501 [29]

Answer:

BC=12.8,\\AC=15.1

Step-by-step explanation:

In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.

Therefore, we have the following equation:

\tan 58^{\circ}=\frac{BC}{8}

Solving, we get:

BC=8\tan 58^{\circ}\approx \boxed{12.8}

Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.

\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}

We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.

Using the Pythagorean theorem to verify our answers:

8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark

6 0
2 years ago
Help. What’s the correct answer?
vesna_86 [32]

Answer:

f(g(x)) = -9(sqrt(x + 1) ) + 9

-36

Step-by-step explanation:

This is easier to see if you use the expanded notation.

f(g(x)) = ?

But what that means is that the left most function is f(x) and where every you see an x, you put in a g(x) like so

f(g(x)) = -9(g(x)) + 9    Now substitute the right side of g(x) into the equation for f(x)

f(g(x)) = -9(sqrt(x + 1) ) + 9

Edit to get the numerical answer.

This should be your answer or the expression that will give you the answer.

f(g(24)) = -9(sqrt(24+1) ) + 9

f(g(24)) = -9sqrt(25) +9

f(g(24)) = -  9*5 + 9

f(g(24)) = - 45 + 9

f(g(24)) = - 36

7 0
3 years ago
Read 2 more answers
Which fraction has a repeating decimal as its decimal expansion?
vichka [17]
3/19 = 0.157...not this one
3/16 = 0.1875...not this one
3/11 = 0.2727 <== this one does
3/8 = 0.375...not this one
7 0
3 years ago
Read 2 more answers
Y=f(x)=8^x find f(x) when x=1/3???????
user100 [1]

Answer: 2

8 to the power of 1/3 is 2.

Step-by-step explanation:

3 0
3 years ago
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