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Sedbober [7]
3 years ago
5

In (triangle symbol)ABC, (angle symbol)C is a right angle. Find the remaining sides and angles. Round your answers to the neares

t tenth. Show your work.
a =3, c =19

Mathematics
1 answer:
irinina [24]3 years ago
3 0
Use the Pythagorean Theorem.

a² + b² = c²

3² + b² = 19²

9 + b² = 361

b² = 352

b = 4√11

Now, solve for the remaining angles by using the trigonometric ratios:

Sine = opposite/hypotenuse

sin(A)= 3/19

sininverse(3/19) = 9.1 = angle A

180-9.1-90 = 80.9 = angle B


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5+ 3x - 37 = 6x + 23 - 8x what is the value for x
iris [78.8K]

Answer:

The value of X is 11

X=11

Step-by-step explanation:

Isolate the variable by dividing each side by the factors that don't contain the cariable.

4 0
3 years ago
A bowling leagues mean score is 197 with a standard deviation of 12. The scores are normally distributed. What is the probabilit
Bond [772]

Answer:

0.281 = 28.1% probability a given player averaged less than 190.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

A bowling leagues mean score is 197 with a standard deviation of 12.

This means that \mu = 197, \sigma = 12

What is the probability a given player averaged less than 190?

This is the p-value of Z when X = 190.

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

Z = \frac{190 - 197}{12}

Z = -0.58

Z = -0.58 has a p-value of 0.281.

0.281 = 28.1% probability a given player averaged less than 190.

8 0
3 years ago
What are the initial value and rate of change from this table???? Explain!!
Evgen [1.6K]

Answer:

rent goes up 9 dollars at a time while number of days is 1 at a time

Step-by-step explanation:

the difference of 21 and 12 is 9 so you can see it changes every day by nine for the ratio i think is for every day 9 dollars is added to fee


8 0
3 years ago
What is the answer in multiple choice? Explain how you got it.
adoni [48]

Cost of the 3 shirts before  tax = 2*49.96 + 1/2 * 49.96

= $124.90

After adding 7.1% tax total cost  = 124.90 * 1.071 = $133.77

So the cost od each shirt = 133.77 / 3 = $44.59  (answer)

3 0
3 years ago
Read 2 more answers
A bicycle store costs ​$2250 per month to operate. The store pays an average of ​$40 per bike. The average selling price of each
lesantik [10]

Answer:

75

Step-by-step explanation:

Given That :

Operation cost = $2250 per month

Purchase price per bike = $40

Average selling price per bike = $70

How many bicycles must the store sell each month to break even ;

Break even point = point at which there is net profit / loss = 0

Let number of bicycles store must sell = x

Operation cost + (purchase price * Number of bicycles) = selling price * Number of bicycles

2250 + 40x = 70x

2250 = 70x - 40x

2250 = 30x

x = 2250 / 30

x = 75

To break even 75 bicycles must be sold

5 0
3 years ago
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