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2 years ago

Find the length of the segment connecting (8,10) and (9,3). Round your answer to the nearest tenth.

Mathematics

1 answer:

notka56 [123]2 years ago

7 0

Hey there! I'm happy to help!

Here's how to find the distance between any two points.

Subtract the x values.

8-9=-1

Square it.

-1²=1

Subtract the y values.

10-3=7

Square it.

7²=49

Add the two numbers you got.

49+1=50

And find the square root.

√50≈7.1.

Have a wonderful day! :D

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How many solutions does the system of equations have?

Anestetic [448]

Answer:

no solution

Step-by-step explanation:

a solution would mean a point where the two lines cross. theres no such thing for parallel lines.

but if the lines are the same, they are parallel and cross everywhere, that would give infinite solutions.

if they would cross once, it would mean one solution

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2 years ago

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A frequency table of grades has five classes (A, B, C, D,F) with frequencies of 4, 10, 17, 6, and respectively. Using percentage

fiasKO [112]

We have the frequencies for each of the grades. We can estimate the number of students graded by adding all those frequencies. Let's call N the total number of grades:

$\begin{gathered} N=4+10+17+6+2 \\ N=39 \end{gathered}$

We have then a total number of grades of 39.

The corresponding relative frequency for a grade is the ratio of the frequency to the total number of "samples", 39 in this case.

Then, for grade A, the relative frequency (RF) will be:

$RF_A=\frac{4}{39}\approx0.10256\approx10.26\text{ \%}$

This will be the fraction of the total grades that are A. Represented as a percentage will be 10.26%, rounded to two decimal places.

Now, to complete the table we do the same for the other frequencies:

For grade B:

$RF_B=\frac{10}{39}\approx0.2564\approx25.64\text{ \%}$

For grade C:

$RF_C=\frac{17}{39}\approx0.4359\approx43.59\text{ \%}$

For grade D:

$RF_D=\frac{6}{39}\approx0.1538\approx15.38\text{ \%}$

For grade F:

$RF_D=\frac{2}{39}\approx0.0513\approx5.13\text{ \%}$

4 0

6 months ago

What is the value of x?

Kazeer [188]

Answer:

Step-by-step explanation:

The volume of a sphere is

$V=\frac{4}{3}\pi r^3$

We are told our volume is 500pi/3, so we fill that in and solve for r:

$\frac{500\pi}{3}=\frac{4}{3}\pi r^3$

Start by multiplying both sides by 3 over 4 pi:

$(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3$

Simplifying gives us

$125=r^3$

Take the cubed root of both sides to get that

r = 5

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2 years ago

Find the sine of both angle A and angle B.

olchik [2.2K]

Sin = opposite/hyp

Sin A = 10/26 = 5/13

Sin b = 24/26 = 12/13

The answer is option A

Hope this helps

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Xelga [282]

Answer:

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Step-by-step explanation:

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