A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other. How long is each piece?

Answer:

Step-by-step explanation:

Sum of exterior angles of any Polygon = 360°

23.  x + 65 + 106 + 78 = 360

                    x  + 249   = 360    

{To find the value of x, subtract 249 from both sides}

                               x    = 360 - 249

                                  x = 111°

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24.  x + x + 59 + 48 + 50 + 39 + 58 = 360

                                       2x + 254   = 360

                                                    2x = 360 - 254

                                                    2x = 106

                                                       x = 106 ÷ 2

                                                       x = 53°

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25. 2x + 3x + 44 +85 + 71 = 360

                         5x + 200  = 360

                                    5x  = 360 - 200

                                     5x = 160

                                       x = 160 ÷ 5

                                       x = 32°

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26.  x+ 2x + 77 + 40 + 45 = 360

                          3x +  162 = 360

                                    3x  = 360 - 162

                                    3x  = 198

                                      x = 198 ÷ 3

                                     x = 66°

She can arrange the 9 paintings in 362,880 different ways, and she can select 126 different combinations of 4.

And so on for the rest of the positions.

The total number of different combinations is equal to the product between the numbers of options:

C = 9*8*7*6*5*4*3*2*1 = 9! = 362,880

b) This will be given by the combinations of 4 out of 9, or:

C(9, 4), where:

[tex]C(9, 4) = \frac{9!}{(9 - 4)!*4!} = \frac{9*8*7*6}{4*3*2*1} = 126[/tex]

She can select 126 different combinations of 4 paintings.

If you want to learn about combinations:

https://brainly.com/question/11732255

#SPJ1

The area of the composite figure from the image attached is 112.5 units²

The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.

From the given figure; we can break it down into:

The area of a parallelogram = b × h

where;

The area of a parallelogram =  9 × 6

The area of a parallelogram = 54 units²

The area of a rectangle = Length × breadth

The area of a rectangle = (9 × 3) units²

The area of a rectangle = 27 units²

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]

where;

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times 9 \times 7}[/tex]

The area of the triangle [tex]\mathbf{= 31.5 units^2}[/tex]

Therefore, the area of the composite figure is:

= 54 + 27 + 31.5

= 112.5 units²

Learn more about composite figures here:

https://brainly.com/question/15981553

Answer:

      [tex]\sf y=cot^{-1}(cot(x))[/tex]

[tex]\sf \implies cot(y)=cot(x)[/tex]

[tex]\sf \implies \dfrac{1}{tan(y)}=\dfrac{1}{tan(x)}[/tex]

[tex]\sf \implies tan(x)=tan(y)[/tex]

[tex]\sf \implies y=x[/tex]

[tex]\sf \implies y=x\pm\pi n[/tex]

What change has been caused?

Change in x (+4)

Means

Option A

Answer:

translate 4 to the left

Step-by-step explanation:

ED 2022

Answer:

The answer to your question is 47

Step-by-step explanation:

You just add and subtract the question the your answer will be 47. Brainly patrol, stop deleting me.

The answer is 72

Step-by-step explanation:

1+7=8

8+6=14

14+8=22

22+10=32

32+12=44

44+5=49

49+22=70

70-4=66

66-12=56

56+16=72

Answer:

B.Yes,the adjacent sides are perpendicular,and the opposite sides are parallel

Answer:

B. Yes, the opposite sides are perpedicular, and the opposite sides are parallel

Step-by-step explanation:

This is because for a rectangle to be a rectangle, it has to have four sides whose opposite sides are equal (so parallel) and adjacent sides meets at 90° (so perpendicular), both of which this shape is shown to be.

Hope this helps. If you have any further questions, let me know!

- profparis

Answer:

Step-by-step explanation:

(a). 5.33 m

(b). 41.65 m²

Answer:

85% of 21 is 17.85.

Answer:

Slope of the line that is parallel: -1

Slope of the line that is perpendicular: 1

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

-4x - 4y = 16 <== add 4x to both sides

+4x         +4x

-4y = 4x + 16 <== divide both sides by -4

/-4      /-4

y = -x - 4

The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-1)

2. Flip it (-1/1)

3. Change the sign (1)

For a slope of -1, the reciprocal would be: 1

Hope this helps!

Convert to y=mx+b form

Slope:-

Parallel lines have equal slope

Perpendicular line's slope=1

Answer:

no there not

Step-by-step explanation:

6 and 6 are like terms because they have no negative sign but -6 and -6 are like terms because they have a negative sign

Answer:

52 cm

Step-by-step explanation:

Use the pythagorean theorem to solve for missing sides in a right triangle.

20²+48²= missing side

20²+48²=2704

Take the square root of 2704 to get the missing side.

[tex] \sqrt{2704 } = 52[/tex]

Answer :

⠀

Explanation :

⠀

Solution :

We'll solve this using the Pythagorean Theorem.

where,

⠀

We know that,

[tex]{\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} } \\ \\ [/tex]

Now, we will substitute the given values in the formula :

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = (20) {}^{2} +( 48) {}^{2} } \\ \\ [/tex]

We know that, (20)² = 400 and (48)² = 2304. So,

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 400 + 2304 } \\ \\ [/tex]

Now, adding 400 and 2304 we get :

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 2704 } \\ \\ [/tex]

Now, we'll take the square root of both sides to remove the square from AC :

[tex]{\longrightarrow \sf \qquad \sqrt{ (AC) {}^{2}} = \sqrt{2704} } \\ \\ [/tex]

When we take the square root of (AC)² , it becomes AC,

[tex]{\longrightarrow \sf \qquad AC = \sqrt{2704} } \\ \\ [/tex]

We know that, square root of 2704 is 52 .

[tex]{\longrightarrow \sf{\pmb{ \qquad AC = 52 }}} \\ \\ [/tex]

So,

Using the given linear function, it is found that:

The balance after x months is modeled by:

y = -382.05x + 25077.4.

Hence, it will be of approximately $17,000 at x for which y = 17000, hence:

17000 = -382.05x + 25077.4

x = (25077.4 - 17000)/382.05

x = 21.

We apply the same logic to find when it will be of approximately 0.

0 = -382.05x + 25077.4

x = (25077.4 - 0)/382.05

x = 66.

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

Make 2 rectangles and find perimeter and then divide by 2.

Step-by-step explanation:

Hope that helps.

Answer:

a. $7.30

Step-by-step explanation:

2.35 + 1.85 + 3.10 = 7.30

Answer:

Option C - 65°

Step-by-step explanation:

Since the side lengths of this triangle are equal this triangle is an isosceles:

Because the triangle is an isosceles the base angles are equal so

∠G = ∠F = 65°

radius r = 2 in

height h = 3 in

slant height s = 3.60555128 in

volume V = 12.5663706 in3

lateral surface area L = 22.6543468 in2

base surface area B = 12.5663706 in2

total surface area A = 35.2207174 in2

In Terms of Pi π

volume V = 4 π in3

lateral surface area L = 7.21110255 π in2

base surface area B = 4 π in2

total surface area A = 11.2111026 π in2

Answer: C. 0.25

Step-by-step explanation:

Large Shape: S (-4, 12)   T (2, -4)    U (6, -8)   V (-12, -8)

Small Shape: S (-1, 3)   T (0.5, -1)    U (1.5, -2)   V (-3, -2)

For the smaller shape the distance between V and U is 4.5

For the larger shape the distance between V and U is 18

So when you divide [tex]\frac{4.5}{18}[/tex] you should get 0.25

S: [tex]\frac{-4}{-1}=4[/tex]     [tex]-4 *0.25=-1[/tex]

T: [tex]\frac{2}{0.5}=4[/tex]     [tex]2*0.25=0.5[/tex]

U: [tex]\frac{6}{1.5}=4[/tex]     [tex]6*0.25=1.5[/tex]

V: [tex]\frac{-12}{-3} =4[/tex]    [tex]-12*0.25=-3[/tex]

I hope this helps

Answer: 1 inc^3

Step-by-step explanation:

V = A^3

Where a = side

V = 1 ^3

V = 1 inch^3

Or in meteres it is 1.6387064e-5

Step-by-step explanation:

HOPE THIS HELPS IF NOT SORRYYYY !!!!!

Answer:

i believe that its 84

Step-by-step explanation:

The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37

Ratio is a term that is used to compare two or more numbers.

Therefore,

At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,

The Junior population at 2:00 pm is as follows;

Then, 120 / 15 = 8

20 × 8 = 160 students

The junior student increased by 120 by 2pm.

The Senior population at 2:00 pm is as follows;

45 × 8 = 360 students

360 senior student left by 2 pm.

Therefore,

Junior student by 2pm = 700 + 160 = 860 students

Senior student by 2 pm  = 110 - 360 = 740 students

The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37

learn more on ratio here: https://brainly.com/question/20331008

Plug in the values of x and solve for y:-

y=5+4x

y=5+4(4)

y=5+16

y=21

________________________________

y=5+4x

y=5+5(5)

y=5+20

y=25

_________________________________

y=5+4x

y=5+4(8)

y=5+32

y=37

___________________________________

y=5+4x

y=5+4(10)

y=5+40

y=45

__________________________________

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

see explanation

Step-by-step explanation:

substitute the values of x from the table into the rule and evaluate for y

x = 4 → y = 5 + 4(4) = 5 + 16 = 21

x = 5 → y = 5 + 4(5) = 5 + 20 = 25

x = 8 → y = 5 + 4(8) = 5 + 32 = 37

x = 10 → y = 5 + 4(10) = 5 + 40 = 45

then

     x   y

    --------

    4   21

    5   27

    8   37

   10   45

Answer:

A

Step-by-step explanation:

You can do 22/4 and that will give you 5.5. Since A gives the multiply chart for 5.5 to 4, the answer is A

Answer:

In general, a mixed economy is "a combination of individual choice and government protection," although the balance tends to lean more towards individual choice.

Answer:

a combination of individual choice and government protection

Step-by-step explanation:

Answer:

Assuming that you are listing the length of each side of the figure, we can add the values together.  The perimeter is 16 cm.

Step-by-step explanation:

6+2+2+6=16 cm

Answer:

10 passengers in every car

One left he choose the car which he want

explanation:

MAY IT HELP U

Answer:

Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.

Step-by-step explanation:

Step 1:  Determine the unit rate

Passangers per car

Passangers / car

(31 passangers) / (3 cars)

10.333 passangers / car

Answer: Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.

Answer:

It depends how much percent the test is worth on your grade, and how much test grades you have. It would definitely raise to at least an 83 though.

Let's check

Total

Grade

Answer:

79

Step-by-step explanation:

90-11=79

Answer:

79

Step-by-step explanation:

To find the range, subtract the biggest number and the smallest number. In this case, it would be 90-11 which is 79.