HELP ME ASAPPP!!!<br> Can someone help me with number 6,7

What is the area of the triangle in the diagram?

Schach [20]

Answer:

$\frac{(a-b)^2+b^2}{a^2}$

which agrees with the first choice (A) in your list of possible answers

Step-by-step explanation:

Notice that the area of the outer square is given by the square of it side $(a)$ .Then the outer area is given by: $a^2$

Now, the inner square's area we calculate by subtracting from the outer area four equal right angle triangles (those shaded in grey in the figure provided). Each of such right angle triangles have an area given by the general formula of a triangle's area:

$Area_{triangle}= \frac{base\,*\,height}{2} =\frac{(a-b)\,b}{2} =\frac{ab-b^2}{2}$

Therefore the internal square's area is:

$a^2-4\frac{ab-b^2}{2} =a^2-2ab+2b^2$

And then the quotient of this are over the larger square area becomes:

$\frac{a^2-2ab+2b^2}{a^2} =\frac{a^2-2ab+b^2+b^2}{a^2}=\frac{(a-b)^2+b^2}{a^2}$

4 0

3 years ago

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67 inches and a s

liq [111]

Answer:

a) 20.33% probability that the participant is less than 64.5 inches.

b) 33.72% probability that the participant is more than 68.25 inches

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:

$\mu = 67, \sigma = 3$

a.) Find the probability that the participant is less than 64.5 inches?

This is the pvalue of Z when X = 64.5.

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

$Z = \frac{64.5 - 67}{3}$

$Z = -0.83$

$Z = -0.83$ has a pvalue of 0.2033

20.33% probability that the participant is less than 64.5 inches.

b.) Find the probability that the participant is more than 68.25 inches?

This is 1 subtracted by the pvalue of Z when X = 68.25.

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

$Z = \frac{68.25 - 67}{3}$

$Z = 0.42$

$Z = 0.42$ has a pvalue of 0.6628

1 - 0.6628 = 0.3372

33.72% probability that the participant is more than 68.25 inches

3 0

4 years ago

M

xxTIMURxx [149]

Answer:

A

Step-by-step explanation:

To answer this, look at one specific point for example, A. It is at the point (3,6). In order for this point to get to where it was moved to, you must rotate it counterclockwise () 90 degrees. Do this by changing the initial point from (x,y) to (-y,x). This is located at (-6,3). Then you can see that it was translated 2 units up from there.

I hope this helped.

3 0

3 years ago

Please answer this fast

Rufina [12.5K]

5/4-1/3 hope this helps

5 0

3 years ago

Maxwell’s vegetarian tacos require 34 tablespoons of chili powder for every 12 pounds of vegetables. How much chili powder will

Crazy boy [7]

Answer:

2 1/4

How?

Set up a proportion. The proportion will be teaspoons of chili powder over pound of vegetables.

Because of the above, the first proportion will be:

x is 3/4 and y is 1/2. Across from that proportion make another one

x is "n" because you're trying to figure out how much chili powder you need. y is 1 3/4.

Multiply 3/4 and 1 3/4, which is 9/16. Then, divide 9/16 and 1/2, which is 9/8. Simplify it to 1 1/8, and Maxwell will need 1 1/8 teaspoons of chili powder.

5 0

3 years ago

HELP ME ASAPPP!!! Can someone help me with number 6,7