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stiv31 [10]
3 years ago
13

Find the exact values of sin A and cos A. Write fractions in lowest terms. A right triangle ABC is shown. Leg AC has length 21,

leg BC has length 28, and hypotenuse AB has length 35.
Mathematics
2 answers:
vampirchik [111]3 years ago
7 0
Sin A = opposite / hypotenuse = BC / AB = 28/35  = 4/5

cos A = adjacent /hypotenuse = AC/AB =  21 / 35  = 3/5
andrey2020 [161]3 years ago
3 0
SinA=BC/AB=28/35=4/5; cosA=AC/AB=21/35=3/5.
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The diameters of ball bearings are distributed normally. The mean diameter is 83 millimeters and the standard deviation is 3 mil
Alenkinab [10]

Answer:

0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 83, \sigma = 3

Find the probability that the diameter of a selected bearing is greater than 85 millimeters.

This is 1 subtracted by the pvalue of Z when X = 85. Then

Z = \frac{X - \mu}{\sigma}

Z = \frac{85 - 83}{3}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486.

1 - 0.7486 = 0.2514

0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.

7 0
3 years ago
URGENTTTTT
romanna [79]

y=1/3x-1

We know straight away that the y intercept is -1 from the equation.

y-intercept: (0,-1)

To find the x intercept plug in 0 for y in the equation.

y=1/3x-1

0=1/3x-1

1/3x=1

x=3

x-intercept: (3,0)

answers: y-intercept: (0,-1) and x-intercept: (3,0)

3 0
3 years ago
A student said we cannot subtract 1.97 from 20 because 1.97 has two decimal digits and 20 has none. Do you agree with his statem
motikmotik

Answer:

No

Step-by-step explanation:

everything has a infinite amount of zeroes behind the decimal point or where it ends at least

3 0
3 years ago
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melisa1 [442]

Let y = G(x)

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x - 1 = y

Let y = f^(-1) x...INVERSE FUNCTION NOTATION.

ANSWER: f^(-1)x = x - 1

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3 years ago
32x+16=32 solve for x
Pepsi [2]

Answer:

x=0.5

Step-by-step explanation:

32x+16=32

       -16    -16

32x=16

÷32 ÷32

x=0.5   or    x=1/2

4 0
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