Which describes the motion shown?

Nicole earns $40,768 per year, what are her weekly gross earnings?

Karolina [17]

($40768/y)(y/52w)=$784/week

Seven hundred and eighty-four dollars per week.

4 0

3 years ago

Read 2 more answers

Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.

motikmotik

A^2+B^3=c^2
6^2+8^2=c^2
36+16=c^2
52=c^2
Square root both sides
7.2=C

6 0

3 years ago

g In R simulate a sample of size 20 from a normal distribution with mean µ = 50 and standard deviation σ = 6. Hint: Use rnorm(20

Illusion [34]

Answer:

> a<-rnorm(20,50,6)

> a

[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905

[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501

Then we can find the mean and the standard deviation with the following formulas:

> mean(a)

[1] 50.72451

> sqrt(var(a))

[1] 7.470221

Step-by-step explanation:

For this case first we need to create the sample of size 20 for the following distribution:

$X\sim N(\mu = 50, \sigma =6)$

And we can use the following code: rnorm(20,50,6) and we got this output:

> a<-rnorm(20,50,6)

> a

[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905

[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501

Then we can find the mean and the standard deviation with the following formulas:

> mean(a)

[1] 50.72451

> sqrt(var(a))

[1] 7.470221

5 0

3 years ago

Who can help mee tutorss wont workkkk

klasskru [66]

Answers:

Similar = Yes, they are similar
How: AA similarity
Similarity statement: triangle HGF ~ triangle HMN

The ~ mark means "similar"

=====================================================

The red angle markings tell us which angles are congruent to one another. We have these two pairs of congruent angles

angle H = angle H (both triangles unfortunately reuse H) by the single arc marking
angle G = angle M, by the double arc markings

Because we have two pairs of congruent angles, we use the AA similarity theorem. AA stands for angle angle. We could use three pairs, but two pairs is the minimum needed for similarity statements.

-----------

To figure out what goes in the third answer box, note how the order HGF is given to us. The order is important.

We have H first, G second, F third.

H being first, and it having a single arc, means that whatever has a single arc on the other triangle must be first. That would be H. Unfortunately they reuse angle H which makes things confusing a bit.

G is second in HGF, and G has the double arc marking. Note how M also has this double arc marking. Therefore we have M second in the answer. So far we have HM as part of the third answer.

The only thing left is N. Therefore, we have triangle HMN as the answer for the third box.

Put another way, we have these pairings:

H (single arc mark) = H (single arc mark)
G (double arc mark) = M (double arc mark)
F (no marking) = N (no marking)

This is why the order is important. So we can see how the angles pair up in the order that they do.

This is why triangle HGF is similar to triangle HMN.

We can write that as triangle HGF ~ triangle HMN

The ~ mark means "similar"

We don't have enough information to prove that the triangles are congruent or not. So we cannot say $\triangle HGF \cong \triangle HMN$ . Your teacher made a typo when using the congruence symbol $\cong$