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Annette [7]
3 years ago
13

A right triangle has a hypotenuse of length 99 inches. if one angle is 34 degrees34°​, find the length of each leg.

Mathematics
1 answer:
Andreyy893 years ago
5 0
Sine (34) = opposite / 99
opposite side = .55919 * 99
opposite side = <span> <span> <span> 55.35981 </span> </span> </span>

Adjacent side² = 99² - 55.35981²
Adjacent side² = <span> <span> </span></span> <span> <span> <span> 9,801  </span> </span> </span> -<span><span><span>3,064.7085632361 </span> </span> </span>
<span><span><span>Adjacent side² = 6,736.29 </span> </span> </span>
Adjacent side = <span> <span> <span> 82.0749

</span></span></span>


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The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016
hodyreva [135]

Answer:

Required Probability = 0.97062

Step-by-step explanation:

We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.

Let X = weight of the newborn baby, so X ~ N(\mu=4016 , \sigma^{2} = 532^{2})

The standard normal z distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

Now, probability that the weight will be less than 5026 grams = P(X < 5026)

P(X < 5026) = P( \frac{X-\mu}{\sigma} < \frac{5026-4016}{532} ) = P(Z < 1.89) = 0.97062

Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .

5 0
3 years ago
Plz help me-7.1(z-1.1)
Elena-2011 [213]

Answer:

<h2>-7.1z +7.81</h2>

Step by step explanation:

- 7.1(z - 1.1)

Multiply each term in paranthesis by -7.1

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Multiply:

-7.1z + 7.81

Hope this helps...

Good luck on your assignment..

6 0
3 years ago
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11111nata11111 [884]

Answer:

43

Step-by-step explanation:

Using the remainder theorem, that is

The remainder on dividing f(x) by (x - h) is the value of f(h)

here division by (x - 3) hence evaluate f(3) for remainder

f(3) = 3² + 14(3) - 8 = 9 + 42 - 8 = 43 ← remainder

6 0
3 years ago
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bixtya [17]
3rd one
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Put it all together and you get a final answer of:
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6 0
3 years ago
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-Dominant- [34]

Answer:

since angle B and angle C contains the same arc AD. set the angles equal

11x-3=8x+15

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the central angle is the angle of the arc

and it is always 2 times the angle that we just that contains the arc but does touches the end of the circle.

so its 63 *2 =126 degrees.

5 0
3 years ago
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