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Step-by-step explanation:

[tex] {x}^{2} - 8x + 15 = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: or \: x = 5[/tex]

Answer:

a = 18 ft is the answer.

Step-by-step explanation:

a = ?

b = 24 ft

c = 30 ft

According to the Pythagoras theorem,

a² + b² = c²

a² + 576 = 900

a² = 900 - 576

a² = 324

a = 18 ft

∴ a = 18 ft is the length of the missing leg.

Answer:

18 feet

Step-by-step explanation:

The Pythagorean theorem is a formula that can be used to find the unknown side length of a right triangle when given the length of the other two sides. The general formula for the Pythagorean theorem is the following,

[tex]a^2 + b^2 = c^2[/tex]

Where (a) and (b) are the legs of the right triangle, or rather the sides adjacent to the right angle of the right triangle. Additionally, (c) is the hypotenuse or the side opposite the right angle of the right triangle.

Substitute in the given values and solve, let parameter (a) represent the unknown side of the triangle,

[tex]a^2 + b^2 = c^2\\[/tex]

Substitute,

[tex](24)^2 + a^2 = (30)^2\\[/tex]

Simplify,

[tex]576 + a^2 = 900[/tex]

Inverse operations,

[tex]576 + a^2 = 900\\-576\\\\a^2 = 324\\\sqrt{}\\\\a = 18[/tex]

Answer:

3/8 of the box is left.

Step-by-step explanation:

Answer:

3/8 is left over

Step-by-step explanation:

First we have to convert 1/4 to 3/8 to do this times 1/4 by two to get 2/8

Next add 3/8 and 2/8 which equals 5/8

Finally, we need to subtract 5/8 from 8/8 to get 3/8

Hope this helped!!

Answer: 10 miles

Step-by-step explanation:

Given

The length of the road is 1000 miles

Solve

1 : 100 = x : 1000 ⇔ Proportion Set Up

100x = 1000 ⇔ Cross Multiply

100x/100 = 1000/100 ⇔ Divide both sides by 100

x=10 ⇔ Simplify

Hope this helps!! :)

Please let me know if you have any questions

Answer:

23/25 of the class used either color pencils or crayons

Step-by-step explanation:

56% used color pencils

36% used crayons

36% + 56% = 92%

turn 92% into a fraction = 92/100

simplify = 23/25

Answer:

Greater Than [The second choice]

Step-by-step explanation:

Answer:

7.0

Step-by-step explanation:

Tangents form right angles, so AOB is a right triangle.

Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.

5^2 + B^2 = 8.6^2

25 + B^2 = 73.96

B^2 = 48.96

B = squareroot 48.96

B = 6.997 --> 7.0

Answer: r is 7

Step-by-step explanation:

ABO is a right triangle

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997[/tex]

Answer:

I think it is either C or D

Step-by-step explanation:

I'm so sorry id didn't find the answer, i tried

Answer:

60 minutes

Step-by-step explanation:

She painted 2/5 of the wall.

She still needs to paint 3/5 of the wall.

3 is 50% more than 2, so 3/5 is 1.5 times 2/5, so it will take her 1.5 times the time it took so far.

1.5 * 40 minutes = 60 minutes.

Answer: 60 minutes

ANSWER

-1,-1 is P

-4, -3 is R

-2,  -3 is Q

I think this is the answer hope it helps :)

Answer:

361.09

Step-by-step explanation:

Explanation:

Calculate the standard error of the mean, SE, using this formula, where  is the standard deviation and n is the sample size.

For this situation, the sample size is 65, and the standard error of the mean is 44.8. Substitute these values into the formula, and solve for .

So the standard deviation is approximately 361.09.

The standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

We have:

Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to each sample contains 65 responses, and the standard error of the mean is 44.8.

As we know,

The standard error is given by:

SE = σ/√n

SE = 44.8

n = 65

44.8 = σ/√65

44.8√65 = σ

σ = 361.09

Thus, the standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.

Learn more about the standard deviation here:

brainly.com/question/12402189

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Answer:

Step-by-step explanation:

This is the proportional relationship:

We have x = 3, y = 24, then k is:

The table will look as:

Correct choice is C

Answer:

c

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer: you combine like terms to get 10x+9

Step-by-step explanation: 4+5+1 is 10 and 7+2 is 9.

Answer:

10x+9

Step-by-step explanation:

Answer:

ummmm math?

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

5/8 - 1/4

L.C.M =8

5-2=3

=3/8

Answer:1-5

Step-by-step explanation:Assuming the spinner is numbered 1–5 and has an equal chance of landing on any number, you have two independent probabilities, each 1 in 5.

Just multiply those: 1/5 * 1/5 = 1/25. You have a 4% chance of getting 2 twice.

Of course, if there’s anything special about spinning “2”, you’ll be keyed to watch for it after getting 2 the first time. Now there’s a 20% chance (1 in 5) you’ll spin it again, and you’ll be very excited that you got 2 twice in a row. Another way of saying that is that the probability of something that has already happened is 100%.

Answer:

i. 82°

ii. 14°

iii. 28°

iv. 47°

v. 58°

Step-by-step explanation:

The trigonometric functions are given as:

Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Thus,

i. adjacent leg / hypotenuse = 0.139 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.139

  = 82°

ii. opposite leg / adjacent leg = 0.249 = Tan θ

θ = [tex]Tan^{-1}[/tex] 0.249

  = 14°

iii. opposite leg / hypotenuse = 0.469 = Sin θ

θ  = [tex]Sin^{-1}[/tex] 0.469

   = 28°

iv. adjacent leg / hypotenuse = 0.682 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.682

   = 47°

v. opposite leg / hypotenuse 0.848 = Sin θ

θ  = [tex]Sin^{-1}[/tex]  0.848

   = 58°

The coordinates of point R' are given as follows:

(8,1).

The four translation rules are defined as follows:

The coordinates of points Q and Q' are given as follows:

Q(6,3), Q'(8,3).

Hence the translation rule is given as follows:

(x,y) -> (x + 2, y).

The coordinates of point R are given as follows:

R(6,1).

Hence the coordinates of point R' are given as follows:

(6 + 2, 1) = (8,1).

More can be learned about translation at brainly.com/question/29209050

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Answer:

Angle QOP

Angle QON

Note : O is the vertex

So it should be placed in the middle when you write .

Answer:

+8 and -8, 2nd answer from the right.

Answer:

C. 150

Step-by-step explanation:

It's right on Plato.

I'm not confident with the Mean but the rest should be correct.

Mean - 709.6 ( All numbers added up then, divided by the numbers there are)

Median - 65 ( Number in the middle)

Mode - 65 ( Most repeated number)

Range - 8 ( Greatest number - Smallest number)

Answer:

x.......y

-8...-2

-1....1

0....0

1....-1

8...2

Answer:

-2

-1

0

1

2

Step-by-step explanation:

in order to find the y values you need to plug in the x values in the table into the function

the cube root of -8 is -2 (since this is a cube root instead of a square root we can have negative values in it because when we cube negative values we get negative values i.e. -2³=-8 ; -3³=-27)

the cube root of -1 is -1

the cube root of 0 is 0

the cube root of 1 is 1

the cube root of 8 is 2

Answer:

Step-by-step explanation:

he volume of the topsoil is

28 ft by 21 ft by 5/15 ft = 245 cubic feet

There are 27 cubic feet in one cubic yard.

245/27 = 9.074074074.... = 9.074

Need 9.25 = 9 and 1/4 cubic yards

Answer: x=3, elimination method

Step-by-step explanation:

x=3

-7x-2y=-13    ->  -7x-2y=-13

-(x-2y=11)      ->   -x+2y=-11

                        -----------------

                          -8x=-24

                              x = 3

elimination method

because you can easily eliminate one variable (y) using the elimination method

Answer: The number of times a yellow cube will be drawn is 390 times.

Step-by-step explanation: Like the last question with the blue cubes, set up a ratio.

Since it is still 240 times drawn and we need to figure out how many times a yellow cube will be drawn from 1200 times, the top number only changes.

78/240 = x/1200

Multiply 78 and 1200, which is 93,600.

Divide that by 93,600, which is 390.