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2 years ago

Find the measure of angle a

Mathematics

2 answers:

Ulleksa [173]2 years ago

4 0

I think it might be 55

uranmaximum [27]2 years ago

3 0

Try 120 degrees because the triangle is equiangular (all sides are 60 degrees). Split the bottom two in half, which would be 30 on both sides. Thus, 180 - 30 - 30 = 120 degrees

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Solve the problem.

bazaltina [42]

Option A: d(t) = 360-60t is the right answer

Step-by-step explanation:

We will write the given problem in terms of function to find the correct answer.

Let d(t) be the function and t be the number of hours.

Total distance is 360 miles and with each passing hour the distance will reduce 60 miles

So,

The function is:

$d(t) = 360-60t$

Hence,

Option A: d(t) = 360-60t is the right answer

Keywords: Functions, word problems

Learn more about functions at:

#LearnwithBrainly

4 0

3 years ago

Which statement explains the relationship between corresponding terms in the table?

Anna11 [10]

Maybe another day in the life of who knows what im talking about

7 0

3 years ago

Read 2 more answers

Sean has some candy bars that he wants to give away. He is going to give each person 1/18 of a bar, and he has 2 3/4 to give awa

julsineya [31]

Answer:

49 people

Step-by-step explanation:

Take the amount of candy and divide by the amount in a serving

2 3/4 ÷ 1/18

Change to an improper fraction

(4*2+3)/4 ÷ 1 /18

11/4 ÷ 1/18

Copy dot flip

11/4 * 18/1

198/4

49.5

Round down since people do not want half a serving

49 people

8 0

3 years ago

HELP PLZZ<br><br> Which figure shows a reflection of pre-image DEFG over the x-axis?

scoray [572]

The first one is a reflection over the x-axis :)

5 0

2 years ago

A college requires applicants to have an ACT score in the top 12% of all test scores. The ACT scores are normally distributed, w

DochEvi [55]

Answer:

a) The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b) 156 would be expected to have a test score that would meet the colleges requirement

c) The lowest score that would meet the colleges requirement would be decreased to 26.388.

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:

$\mu = 21.5, \sigma = 4.7$

a. Find the lowest test score that a student could get and still meet the colleges requirement.

This is the value of X when Z has a pvalue of 1 - 0.12 = 0.88. So it is X when Z = 1.175.

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

$1.175 = \frac{X - 21.5}{4.7}$

$X - 21.5 = 1.175*4.7$

$X = 27.0225$

The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b. If 1300 students are randomly selected, how many would be expected to have a test score that would meet the colleges requirement?

Top 12%, so 12% of them.

0.12*1300 = 156

156 would be expected to have a test score that would meet the colleges requirement

c. How does the answer to part (a) change if the college decided to accept the top 15% of all test scores?

It would decrease to the value of X when Z has a pvalue of 1-0.15 = 0.85. So X when Z = 1.04.

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

$1.04 = \frac{X - 21.5}{4.7}$

$X - 21.5 = 1.04*4.7$

$X = 26.388$

The lowest score that would meet the colleges requirement would be decreased to 26.388.

6 0

3 years ago

Find the measure of angle a​

Find the measure of angle a