Choose one of the problems on this page describe how you decide what steps were needed to solve the problem

Find the missing side length of the right triangle. show work.

motikmotik

Answer:

6.32

Step-by-step explanation:

To find the side length on a right angled triangle we follow The Pythagorean Theorem:

${a}^{2} + {b}^{2} = {c}^{2}$

c being the hypothesis (longest side: the hypotenuse is always opposite the right angle)

so..

${6}^{2} + {2}^{2} = {x}^{2} \\ 36 + 4 = {x}^{2} \\ 40 = {x}^{2} \\ \sqrt{40} = \sqrt{ {x}^{2} } \\$

$6.32 = x$

8 0

1 year ago

Read 2 more answers

A 1x1 square and an n-tiling is a group of n tiles placed so that every tile is contiguous along at least one side to another ti

bixtya [17]

Answer:

Step-by-step explanation:

The first picture below shows the missing image in the question.

There are 4 edges of each tile;

This clearly explains to us that the total number of edges present in the n tiles is 4n.

Now, if a tile "X" touches and comes in contact with another tile "Y", then edges touching each other are one edge of a tile X and one edge of a tile Y.

From the second diagram below, the edge, X_2, and Y_4 are touching each other.

Now, the total number of edges that touch some edges is always even.

We can now say that:

The edge length of filling = No. of edges that do not touch another file

= Total no. of edges - No. of edges that touch another edge.

However, the total number of edges is even.

The number of edges that touch another edge is also even.

Thus, the difference is also even and the number of edges that do not touch another is even.

So, the edge length of filling is always even.

6 0

2 years ago

If s(x) = x-7 and f(x) = 4x? – X+3, which expression is equivalent to (tos)(x)?

lesya692 [45]

Answer:

4(x-7)^2-(x-7)+3 (Assuming t is f)

Step-by-step explanation:

Let s(x)=x-7 and t(x)=4x^2-x+3 .

(t o s)(x)=t(s(x))=t(x-7)

Before I continue this means replace the orginal x in t with x-7.

This will then give you

4(x-7)^2-(x-7)+3

4 0

3 years ago

Biologists were studying the proportions of cats that had spotted markings on their fur in two populations of cats, C and F. An

alexandr1967 [171]

Answer:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

Step-by-step explanation:

p-value is the probability of observing a result which is at least as extreme as we calculated in our actual workings, assuming the Null hypothesis to be true.

The calculate p-value is 0.01. In the question statement we are given that the alternate hypothesis is:

"Population Proportions are not equal"

Since, Null and Alternate Hypothesis are negations of each other, the Null Hypothesis would be:

"Population Proportions are equal"

We assume the null hypothesis to be true, perform the tests on the sample and obtain a result.

The results we obtained is:

The sample difference is 0.62

Fitting all this data, in the definition of p value tell us that:

The probability of obtaining a sample difference of atleast 0.62 is 0.01, if the population proportions are same.

This matches with the option B. Therefore, the correct answer is:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

3 0

2 years ago

Line t passes through points (10, 1) and (2, 6). Line u is perpendicular to t. What is the slope of line u?

diamong [38]

Let's find the slope for line t first.

We can use the given points 2,6 and 10,1 to find the slope using the slope formula.

$\frac{y.2 - y.1}{x.2 - x.1} = m$

1 - 6 / 10 - 2

-5/8

The slope is -5/8.

Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.

When a slope is perpendicular to another, it is equal to the negative reciprocal.

Negative reciprocal of -5/8 = 8/5

<h3>The slope of line u is 8/5</h3>

8 0

2 years ago