1) Find the missing side length.
х
12 in.
18 in.

1) Find The Missing Side Length.12 In.18 In.

Answers

Answer 1

Answer:

x = 6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 12² = 18²

x² + 144 = 324 ( subtract 144 from both sides )

x² = 180 ( take the square root of both sides )

x = [tex]\sqrt{180}[/tex]

  = [tex]\sqrt{36(5)}[/tex]

   = [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]

   = 6[tex]\sqrt{5}[/tex] ← exact value


Related Questions

15. What does the y-intercept represent in a
real-world function?
a. initial value
b. final value
c. rate of change

Answers

C rate of change is the answer

write an equation for the line that passes through (2,-5) and is parallel to the line 2y=3x+10

Answers

Answer:

[tex]y = \frac{3}{2} x-8[/tex]

Step-by-step explanation:

Firstly, let's get y by itself in the equation.

[tex]y = \frac{3}{2}x + 5[/tex]

Parallel lines have the same slope, but not the same y intercept. So we have an equation like this:

[tex]y = \frac{3}{2}x + b[/tex]

To find b (aka the y-intercept), we need to plug in the ordered pair into the equation like this:

[tex]-5 = \frac{3}{2}(2) + b[/tex]

Now solve:

[tex]-5 = \frac{6}{2} + b\\-5 = 3 + b\\-8 = b[/tex]

We have found the y-intercept, now we can write the full equation:

[tex]y = \frac{3}{2} x-8[/tex]

I hope this helps!!

- Kay :)

What is 2 3/7 minus 5 6/7

Answers

Step-by-step explanation:

[tex] = 2 \frac{3}{7} - 5 \frac{6}{7} \\ [/tex]

[tex] = \frac{2 \times 7 + 3}{7} - \frac{5 \times 7 + 6}{7} \\ [/tex]

[tex] = \frac{17}{7} - \frac{41}{7} \\ [/tex]

[tex] = \frac{17 - 41}{7} \\ [/tex]

[tex] = \frac{ - 24}{ \: 7} \\ [/tex]

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I hope this helped

PLEASE HURRY!! HELP NEED!!​

Answers

Answer:10

Step-by-step explanation:

To find the missing side use Pythagorean theorem (a^2+b^2=c^2)

6^2 + 8^2 = c^2

36 + 64 = c^2

Add 36 and 64

100 = c^2

Square root both side to get rid of the square on the letter c and you have to do both side because what you do to one side you must do to the other.

C=10

2
3(9x - 6) = 4x + 10
What is the value of X In the equation

Answers

Answer:

Step-by-step explanation:

23(9x-6) = 4x +10            

207x - 138 = 4x +10

203x = 148                                                    

x = 148/203

 or  

3(9x-6) = 4x +10

27x -18 = 4x + 10

   27x - 4x = 10 + 18

          23x = 28

x= 28/23

what is 0.3 repeating as a decimal?
a. 1/3
b. 1/9
c. 3/100
d. 3/10

Answers

Answer:

a

Step-by-step explanation:

a. 1/3 is 0.3 repeating as a decimal.
If by any change you want to do it yourself you have to divide the top by the bottom that be 1 divided by 3 which is 0.3333.

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

Answer:

See attached graph for rise and run lines

Slope = -1

Step-by-step explanation:

The slope-intercept equation form of a line is given by
y = mx + b where m = slope and b the y-intercept

rise/run is the slope of the line and is given by Δy/Δx where Δy represents the change in y values and Δx the corresponding change in x values

To calculate slope, take any two points on the line, find the difference between their y values and divide them by the change in x values

Two points I have chosen are (-3, 0) and (0, -3)
[tex]\textsf{{Slope}}=\dfrac{\ensuremath{-3}-0}{0-(-3)}=\dfrac{-3}{3}=-1[/tex]

We can see from the graph that the y-intercept ie where the line crosses the y axis i s-3

So the equation of the line is y = -1x - 3

HURRRY TIME LIMIT!!!!!!!!!


A hotel rewards club wants to randomly select 100 of its 5,000 members to participate in a survey. The club wants to determine if people’s opinions differ based on age. There are 2,200 members between the ages of 25 and 50, and there are 2,800 who are age 51 or older. The club decides to randomly select 44 members between the ages of 25 and 50, and 56 members ages 51 and older. Is the sample of 100 members a simple random sample? Yes, because the hotel rewards members were randomly selected for the sample. Yes, because each hotel rewards member has the same chance of being selected. No, because the sample of 100 is too small a sample to represent the population. No, because each sample of 100 does not have the same chance of being selected.

Answers

Answer:

No, because each sample of 100 does not have the same chance of being selected.

Step-by-step explanation:

Simple random samples require that every possible sample of the population has an equal chance of being selected. Because of the fact that certain ages are being picked at certain amounts, not every possible sample has the same chance of being selected, so this is not an SRS.

Answer:

D.

Step-by-step explanation:

No, because each sample of 100 does not have the same chance of being selected.

the coordinates of a and b are –7 and 9. the coordinates of c and d are –4 and 12. are a b and c d congruent? if yes, what is the length of each segment?

Answers

Line segment AB and CD both are congruent with the length of 16 units.

We have been given two line segment AB and CD of whose coordinates are :

  A = -7  ,  B = 9   and  C = -4 ,  D = 12

The distance formula is given as |x2 – x1|

Therefore the length of AB = |9 – (-7)|

                                               = 9 + 7

                                               = 16

The length of CD = |12-(-4)|

                              = 12 + 4

                             = 16

Note that when two line segments are congruent then their distance is equal.

Thus both the line segment AB and CD are congruent with a length 16 unit.

Learn more about distance here : https://brainly.com/question/23848540

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THE PHOTO FOR THE QUESTION IS BELOW PLEASE HELP ME ASAP

Answers

Answer:

it is +.025

Step-by-step explanation:

It is +.025 I had this on a homework paper and got it rights

11.3 × 20.5
help asapppppp i gota lotta math work to do :((((((((((((((((((((((((((((

Answers

Answer:

231.65

Step-by-step explanation:

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Answer:

231. 65 is the answer

hope this answer will help you

have a great time

Suppose you have seven different sweatshirts, and wish to wear a different one each day of the week. in how many ways can this be done? a. 49 different ways b. 1 different way c. 210 different ways d. 5040 different ways

Answers

The total number of ways or permutations in which that  can be done are: d. 5040 different ways

To solve this problem the formula and the permutation procedure we must use is:

nPr = n! / (n-r)!

Where:

nPr = permutationn = total number of objectsr = number of selected objects! = factorial of the number

Information about the problem:

n = 7 (sweatshirts)r = 7 (days)7P7 =?

Applying the permutation formula we have:

nPr = n! / (n-r)!

7P7 = 7! / (7-7)!

7P7 = 7! / 0!

7P7 = 7! / 1

7P7 = 7 * 6 * 5 * 4 * 3 * 2 * 1 / 1

7P7 = 5040

What is permutation?

It is the ordered arrangement of members belonging to a set with no repeats.

Learn more about permutation at: brainly.com/question/1216161

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Plz answer this question thanks :)

Answers

Answer:

£1.44

Step-by-step explanation:

We need to find the number of days it was due first.

26 Nov to 12 Dec: 16 days

1 day --- 9p

16 days --- 16 × 9p = 144p

                              = £1.44

if <1 and <2 are a linear pair then find the value of x’ if m<1 = 1/3(27x-6) and m<2 = 1/2(6x-20).

Answers

Answer:

16

Step-by-step explanation:

Remark

Linear Pair means two angles add to 180. They have a base and a transversal in common.

Equation

1/3(27x - 6) + 1/2(6x  - 20) = 180                Remove the brackets

Solution

9x - 2 + 3x - 10 = 180                                 Collect like terms

12x - 12 = 180                                             Add 12

12x - 12 + 12 = 180 + 12                              Combine

12x = 192                                                    Divide by 12

12x/12/ = 192/12

x = 16

Write as a decimal. Use bar notation if necessary.​

Answers

write as a decimal no number

HELP i just need short definitions for these ill give brainly they just cant be from the internet

Answers

Answer:

A renewable resource is a natural resource that can be used repeatedly without running out. They have and unlimited supply. (ex. solar power)

A nonrenewable resource is a natural resource that will run out and can not be reused. (ex. coal)

Weathering is the breaking down of rocks and minerals through contact with Earth's natural forces.

Erosion is when the forces of the earth breaks down rocks and minerals and moves them to another place.

Please help ASAP.

A ferris wheel has a diameter of 42 feet. About how far does it travel if it makes 10 revolutions?

Answers

Answer:

the freak

Step-by-step explanation:

What is the remainder when (4x3+2x2-18x+38)/(x-3)?

a.2
b.12
c.96
d.110

Answers

Answer:

choice A 2

Step-by-step explanation:

4(23)+2(22)−(18)(2)+38

2−3

=−42

good luck!

The answer is actually d.110

Here’s the explanation of why :)

If 7 apples cost 28 dollars how much does 1 apple cost

Answers

28 divided by 7 = 4
So that means 1 Apple costs 4 dollars

Answer:

$4 per apple.

Step-by-step explanation:

This is pretty simple, you can divide 28 divided by 7 or you can go through your 4 times table and figure out that 4 times 7 equals 28.

DUEEE at 10:300 HELPPP ??

Answers

Answer:

They are similar by SSS similarity. TUV ~ QRS

Step-by-step explanation:

yes

Answer:

ΔTUV ~ ΔQRS

Step-by-step explanation:

The sides on the smaller triangle are 15, 25, and 30.

The sides of the larger triangle are 42, 70, and 84.

15*X = 42

X = 2.8

25 * 2.8 = 70

30 * 2.8 = 84

Since all sides of the larger triangle are 2.8 times the sides of the smaller triangle, the two triangles are similar.

There are 72 students for every 6 teachers on the field trip. What is the unit rate, in students per 1 teacher

Answers

Answer:

There are 12 students per 1 teacher.

Step-by-step explanation:

To find the unit rate you divide 72/6

answer: 12

step by step explanation: divide 72 and 6

72/6

=12

Please help me out! I’ve been on this question for like 20 minutes and I’m really confused lol

Answers

Answer:

2/1

Step-by-step explanation:

Formula for slope is (y2 - y1)/ (x2 - x1)

In this case, it is (8 - 4)/ (5 - 3)

Which is evaluated to be 4/2

And simplified to 2/1.

This is urgent!!!! PLEASE DON'T HELP!!!​

Answers

Answer:

okay

Step-by-step explanation:

dont want help? bye good luck!

Which statement describes the graph of f(x) = –x4 + 3x3 + 10x2?

Answers

Answer:

The graph touches the x axis at x = 0 and crosses the x axis at x = 5 and x = -2.

Step-by-step explanation:

heLP mE PLLLLLLssssssssssssssssssss

Answers

Answer:

y=65x+250

Step-by-step explanation:

shortcut for finding the midpoint of a segment when one of its endpoints has coordinates (a, b) and the other endpoint is the origin.

Answers

Answer:

Hmm it has to be to divide the coordinates by 2

Step-by-step explanation:

Lets say you have (10, 8), and the other coordinate is (0, 0). If you divide 10 by 2 you get 5, and 8 by 2 you get 4, so what you get is (5, 4), which is the midpoint.

Find the slope of the line between the points (4, 10) and (-6, 10)

Answers

Undefined it the slope

help anyone?????????????????????:))))))))))))))))

Answers

the answers are 7.5 , 12 , 27

Answer:

Step-by-step explanation:

1 cupcake=1.5 dollars

5 cupcakes=5×1.5

=7.5

1.5 dollars=1 cupcake

15 dollars=15/1.5

=10 cupcakes

ben plants 6 rows of roses with the same number of roses in each row
r+6
6r
8r
6x6

Answers

Answer:

Step-by-step explanation:

if r are roses, ben plants 6r

he plants 6r is the answer

A figure is dilated by a factor of 6 the area will change by a factor of what

Answers

Answer:

i think it is 69 thank you

Answer:

factor of 36

Step-by-step explanation:

Given the factor 6, then the area factor is

6² = 36

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