Question 1 <br> Which triangle is NOT similar to the other three?

Is 3√ a irrational number

umka2103 [35]

Im going to assume that 3√ is √3

And √3 is irrational because You cant square root it without getting nuked with a Random Number generator of decimals.

4 0

3 years ago

What is the value of the expression z2+3z-3 when z=6?

oksano4ka [1.4K]

Answer:

51

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

z² + 3z - 3

z = 6

Step 2: Substitute and Evaluate

6² + 3(6) - 3

36 + 18 - 3

36 + 15

51

8 0

3 years ago

How many different triangles can be constructed using angle measurements 81 52 and 47? I need the answer really fast and like ri

solniwko [45]

The options are:
A) exactly one triangle;
B) no triangles;
<span>C) more than one triangle.</span>

First thing, let's see if these angles can make a triangle:
(81 + 52 + 47) = 180

We know that the sum of the inner angles of a triangle must equal 180°, therefore yes, they can be angles of a triangle.

With only the measure of the angles and nothing about the sides, we can construct as many triangles as we want: try, indeed, to construct a triangle with given angles bus sides of your choice; then, double the sides. You will get a triangle that is twice the size, but the angles remained the same.

Hence, the correct answer is C) more than one triangle.

7 0

3 years ago

Michael drives to work and home from work each workday. He travels a total of 160 miles at the end of the workweek. How far is M

sdas [7]

Answer:

Michael's house is 16 miles away from work.

Step-by-step explanation:

We are given the following in the question:

Total distance traveled by Michael at the end of the workweek = 160 miles.

Let $x$ miles be the distance between Michael's house from work.

Thus, total distance covered in one day =

$2x\text{ miles}$

Total distance covered in one weekday(5 days) =

$2x\times 5 = 10x\text{ miles}$

Equating,

$10x = 160\\\Rightarrow x = 16$

Thus, Michael's house is 16 miles away from work.

6 0

3 years ago

Safety regulations state that roller coasters cannot operate safely in high winds. Throughout the day, ride operators measure th

bija089 [108]

Answer:

Type I error would be to conclude that the mean wind speed is too high and decide to shut down the ride but in actual the wind speed was moderate and it is safe to do riding.

Type II error would be to conclude that the mean wind speed is moderate and decide to go on riding but in actual the wind speed is too high and it unsafe to go on riding and should be shut down.

Step-by-step explanation:

We are given that the collected data is used to conduct a one-sample z -test of the null hypothesis that the mean wind speed is moderate against the alternative that the mean wind speed is too high.

If the null hypothesis is rejected in favor of the alternative, the ride is shut down due to unsafe conditions.

So, Null Hypothesis, $H_0$ : The mean wind speed is moderate.

Alternate Hypothesis, $H_A$ : The mean wind speed is too high.

Also, it is provided that if the null hypothesis is rejected in favor of the alternative, the ride is shut down due to unsafe conditions.

Now, Type I error states the Probability of rejecting null hypothesis given the fact that it was true or Probability of rejecting the true hypothesis.

So, in the given context, Type I error would be to conclude that the mean wind speed is too high and decide to shut down the ride but in actual the wind speed was moderate and it is safe to do riding.

On the other hand, Type II error states the Probability of accepting null hypothesis given the fact that it was false or Probability of accepting the false hypothesis.

So, in the given context, Type II error would be to conclude that the mean wind speed is moderate and decide to go on riding but in actual the wind speed is too high and it unsafe to go on riding and should be shut down.

4 0

3 years ago

Question 1 Which triangle is NOT similar to the other three?