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1 year ago

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Triangle A B C. Angle B is 60.8 degrees and angle C is 57.1 degrees. Triangle X Y Z. Angle Z is 60.8 degrees and angle Y is 59.1

degrees.
Answer the questions about these triangles.

Which is the measure of angle A?

Which angle corresponds to angle A?

What can be concluded about these triangles?

2 answers:

kupik [55]1 year ago

6 0

Answer:

62.1

angle Y

the triangles are not similar

Step-by-step explanation:

vodka [1.7K]1 year ago

3 0

Answer:

Which is the measure of angle A?

✔ 62.1 degrees

Which angle corresponds to angle A?

✔ angle Y

What can be concluded about these triangles?

✔ The triangles are not similar.

Step-by-step explanation:

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AURORKA [14]

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DOGE

6 0

2 years ago

Which monomial is a perfect cube?<br><br> 16x6<br> 27x8<br> 32x12<br> 64x6

Svetlanka [38]

Which monomial is a perfect cube?<span>16x6</span><span>27x8</span><span>32x12</span><span>64x<span>6

Its D </span></span>

5 0

2 years ago

Read 2 more answers

The function d=0.006s squared represents the braking distances d in meters of a car at a speed s in kilometer per second.Graph t

Molodets [167]

Answer:

Part 1) The graph in the attached figure

Part 2) The value of s is approximately 45 km/sec

Step-by-step explanation:

<u><em>The complete question is</em></u>

The function d=0.006s² represents the braking distances d in meters of a car at a speed s in kilometer per second.Graph the function. Then use your graph to estimate the speed of the car if its braking distance is 12 meters

Part 1) Graph the function

Let

s ----> the speed in kilometers per second

d ----> the braking distances in meters

we have

$d=0.006s^2$

This is a quadratic equation (vertical parabola) open upward (the leading coefficient is positive)

The vertex represent a minimum

The vertex is the origin

The axis of symmetry is the y-axis

Find the values of d for different values of s

so

For s=0 km/sec ----> $d=0.006(0)^2=0\ m$ ---> point (0,0)

For s=20 km/sec ----> $d=0.006(20)^2=2.4\ m$ ---> point (20,2.4)

For s=30 km/sec ----> $d=0.006(30)^2=5.4\ m$ ---> point (30,5.4)

For s=40 km/sec ----> $d=0.006(40)^2=9.6\ m$ ---> point (40,9.6)

For s=50 km/sec ----> $d=0.006(50)^2=15\ m$ ---> point (50,15)

To graph the function plot the points and connect them

see the attached figure

Part 2) Use your graph to estimate the speed of the car if its braking distance is 12 meters

Looking at the graph

For d=12 m

The value of s is approximately 45 km/sec

see the attached figure

5 0

2 years ago

Match each percent amount to its correct value. Tiles 15% of 30 30% of 45 60% of 7 23% of 20 Pairs 13.5 arrowBoth 4.5 arrowBoth

Over [174]

15% of 30....turn ur percent to a decimal...." of " means multiply
0.15(30) = 4.5

30% of 45.....set it up the same way as before
0.30(45) = 13.5

60% of 7
0.60(7) = 4.2

23% of 20
0.23(20) = 4.6

3 0

2 years ago

Read 2 more answers

The time for a visitor to read health instructions on a Web site is approximately normally distributed with a mean of 10 minutes

klio [65]

Answer:

a) The mean is 10 and the variance is 0.0625.

b) 0.6826 = 68.26% probability that the mean time of the visitors is within 15 seconds of 10 minutes.

c) 10.58 minutes.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Normally distributed with a mean of 10 minutes and a standard deviation of 2 minutes.

This means that $\mu = 10, \sigma = 2$

Suppose 64 visitors independently view the site.

This means that $n = 64, = \frac{2}{\sqrt{64}} = 0.25$

a. The expected value and the variance of the mean time of the visitors.

Using the Central Limit Theorem, mean of 10 and variance of (0.25)^2 = 0.0625.

b. The probability that the mean time of the visitors is within 15 seconds of 10 minutes.

15 seconds = 15/60 = 0.25 minutes, so between 9.75 and 10.25 seconds, which is the p-value of Z when X = 10.25 subtracted by the p-value of Z when X = 9.75.

X = 10.25

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

By the Central Limit Theorem

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

$Z = \frac{10.25 - 10}{0.25}$

$Z = 1$

$Z = 1$ has a p-value of 0.8413.

X = 9.75

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

$Z = \frac{9.75 - 10}{0.25}$

$Z = -1$

$Z = -1$ has a p-value of 0.1587.

0.8413 - 0.1587 = 0.6826.

0.6826 = 68.26% probability that the mean time of the visitors is within 15 seconds of 10 minutes.

c. The value exceeded by the mean time of the visitors with probability 0.01.

The 100 - 1 = 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.

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

$2.327 = \frac{X - 10}{0.25}$

$X - 10 = 2.327*0.25$

$X = 10.58$

So 10.58 minutes.

6 0

2 years ago