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2 years ago

Solve the right triangle.

Mathematics

1 answer:

drek231 [11]2 years ago

7 0

Step-by-step explanation:

we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being opposite of the angles.

so, we have here now (sin(90) = 1)

b/sin(51) = c/sin(90) = 24/sin(39)

c = 24/sin(39) = 38.1363775... ≈ 38.1

b = 24×sin (51)/sin(38) = 29.63753176... ≈ 29.6

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5. A 200 pound person weighs 33 pounds on the moon.

blsea [12.9K]

Answer:

Well the formula for that is,

weight on Earth(in this case 200)/9.81m/s2) * 1.622m/s2 which comes out to 33

6 0

3 years ago

5(n+1) equals 2 ( n+ 7)

alina1380 [7]

The wording is confusing but I am going to guess it is 5(n+1)=2(n+7). So 5xn=5n and 5x1=5. 5n+5=2(n+7). Then 2xn=2n and 2x7=14. The question now stands 5n+5=2n+14. Then 5n+2n=7n and 14-5=9. So, you have 7n=9. Then you divide both sides by 7 and get n=1.2857...

5 0

3 years ago

Aunt Maggie’s car broke down on iterestate 10. Sams towing charges a $57 hoop up fee and $2.00 per mile towed. Reginas towing ch

lawyer [7]

Answer:

Both situations can be modeled using linear functions

The rate of change of the function that models Regina's towing charge is 2.5

The y-intercept of the functions that model both situations represents the hook up fee

Step-by-step explanation:

Let

x -----> the number of miles towed

y ----> the total charge in dollars

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

we have

Sam’s Towing

In this case the slope of the linear equation is equal to the unit rate

The unit rate is $2.00 per mile towed

The y-intercept is equal to the charge per fee

therefore

the linear equation is

Regina’s Towing

In this case the slope of the linear equation is equal to the unit rate

The unit rate is $2.50 per mile towed

The y-intercept is equal to the charge per fee

therefore

the linear equation is

Verify each statement

case 1) Both situations can be modeled using linear functions

The statement is true

See the explanation

case 2) The y-intercept of the function that models Sam's Towing charges is 2

The statement is False

The y-intercept of the function that models Sam's Towing charges is $57

case 3) The rate of change of the function that models Regina's towing charge is 2.5

The statement is true

See the explanation

case 4) The y-intercept of the functions that model both situations represents the hook up fee

The statement is true

See the explanation

case 5) The rate of change of the functions that model both situations represent the miles traveled per hour

The statement is False

The rate of change of the functions that model both situations represent dollars by mile towed

8 0

3 years ago

Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. What p

klasskru [66]

Answer:

99.89% of students scored below 95 points.

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 problem, we have that:

$\mu = 76.4, \sigma = 6.1$