I need help with this problem please 2/5 divided by 1/7

The diagram shows a right-angled triangle.

son4ous [18]

answer

11.3 cm

steps

what is h cm to angle 37°=it is an opposite side

what is 15 cm to angle 37°=it is an adjecent side

opposite and adjecent form a tan

.°. opp/adj = tan(37°)

h/15 = tan(37°)

h = 11.3 cm

6 0

3 years ago

What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem?

Kaylis [27]

Answer:

You need to know that pairs of two angles are congruent and the pair of sides adjacent to one of the given angles are congruent

8 0

3 years ago

Read 2 more answers

Which of the following has a specific definition in geometry?

finlep [7]

Answer:

a line

Step-by-step explanation:

In geometry, we can define a line as a straight one- dimensional figure without thickness but extends infinitely in both directions.

If we are to put it into more understandable words, we can describe a line as the shortest distance between any two points.

A line has a specific definition in geometry. Every other option listed do not have specific definition in geometry.

3 0

3 years ago

A collection of 39 coins consists of dimes and nickels. The total value is $2.75. How many dimes and how many nickels are ther

EleoNora [17]

Answer:

23 nickels and 16 dimes

Step-by-step explanation:

16 dimes = 1.60

23 nickels = 1.15

1.60 + 1.15 = 2.75

4 0

3 years ago

All 423 Wisconsin public schools were all given a rating by the Wisconsin Department ofPublic Instruction based on several varia

Blizzard [7]

Answer:

$z = \frac{\bar X -\mu}{\sigma_{\bar X}}= \frac{70.9-71.5}{0.77}=-0.779$

From this result we can conclude that the value of 70.9 is 0.78 deviation below the true mean of 71.5 and that can be considered as unusual. If we conduct a hypothesis test or a confidence interval we will see that we have enough evidence to conclude that the true mean is not significantly different from 71.5.

Step-by-step explanation:

For this case from all the population we know that the population mean and deviation are:

$\mu = 71.5,\sigma = 4.87$

And we take a random sample of size n =40 and we got a sample mean calculated with the following formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}= \frac{\sum_{i=1}^{40} X_i}{40}=70.9$

And we want to test if this value is unusually low.

Since the sample size is large n>30 we can use the central limit theorem who says that the distribution for the sample mean is given by:

$\bar X \sim N (\mu , \frac{\sigma}{\sqrt{n}})$

And on this case if we replace the values that we have we got:

$\bar X \sim N (\mu_{\bar X}=71.5,\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}=\frac{4.87}{\sqrt{40}}=0.77)$

For this case we can calculate how many deviations above or below is our calculated value from the sample of size 40, using the z score given by:

$z = \frac{\bar X -\mu}{\sigma_{\bar X}}= \frac{70.9-71.5}{0.77}=-0.779$

From this result we can conclude that the value of 70.9 is 0.78 deviation below the true mean of 71.5 and that can be considered as unusual. If we conduct a hypothesis test or a confidence interval we will see that we have enough evidence to conclude that the true mean is not significantly different from 71.5.

3 0

3 years ago