4) Rotation: 90° ccw about the origin ​

The number of people in the room is 91.

The first step is to determine the total number of chairs in the room. In order to determine this value, divide the fraction of the unoccupied chairs by the number of empty chairs.

8 ÷ 1/8

8 x 8 = 64

Number of people sitting on the chairs = 64 - 8 = 52

Number of people in the room = 52 ÷ 4/7

= 52 x 7/4 = 91

To learn more about fractions, please check: https://brainly.com/question/25779356

Answer:

58

Step-by-step explanation:

the way of the parts of the question

The lengths of the bases are: 4cm and 12cm.

Since the area of a trapezoid is given by the formula;

Where a and b are the lengths of the bases and h is the height of the trapezoid.

Hence, in this case scenario; it follows that;

a = x = 4cm

b = 3x = 12cm.

Read more on trapezoid;

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Answer:

No.

Step-by-step explanation:

For there to be a equal sign, it will mean that both sides will have to have the same exact amount. If it is expressions on both sides, then the expressions must, when combined, equal to each other.

In this case, there is not given operation that will allow for both numbers to equal each other, and 17.8 is 10 less than 18.8, therefore it is not reasonable.

17.8 ≠ 18.8

Answer:

1) 7/8

2) 17/12 = 1 5/12

3) 53/12 = 4 5/12

Step-by-step explanation:

1) 3/8 + 1/2 = 3/8 + 4/8 = 7/8

2) 2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12

3) 4 2/3 - 3/12 = 14/3 - 3/12 = 56/12 - 3/12 = 53/12 = 4 5/12

4

Step-by-step explanation:

it is the answer because i just answered it and got it right

Answer:

37.2 cm

Step-by-step explanation:

Perimeter of a rectangle = 2*(length + breadth)

==> perimeter = 2*(12 + 6.6)

= 2*(18.6)

= 37.2 cm

Answer:

[tex] \red{37.2 \: cm}[/tex]

Step-by-step explanation:

The formula to find the perimeter of a rectangle is:

[tex] \text{perimeter} = 2(l + w)[/tex]

Given that,

length = 12cm

width = 6.6cm

Let us find the perimeter of the rectangle now.

[tex] \text{perimeter} = 2(l + w) \\ \text{perimeter} = 2(12 + 6.6) \\ \text{perimeter} = 2 \times 18.6 \\ \text{perimeter} = 37.2 \: cm[/tex]

Answer:

1.

Step-by-step explanation:

The greatest common factor is the largest positive integer that divides evenly into all numbers with zero remainder.

So, let's factor each number:

12w⁴: To factor it, factor 12 and w⁴ separately.

12: 1, 2, 3, 4, 12

w⁴: 1, w, w², w³, w⁴

So, the factor of 12w⁴ is all the combinations of the factor of 12 and w⁴.

1, 2, 3, 4, 12, 1w, 2w, 3w, 4w, 12w, 1w², 2w², ..., 12w⁴

5y³: To factor it, factor 5 and y³ separately.

5: 1, 5

y³: 1, y, y², y³

So, the factors of 5y³ are all the combinations of the factor of 5 and y³.

1, 5, 1y, 5y, 1y², ... , 5y³

The only factor that 12w⁴ and 5y³ have in common is 1.

Answer: 1.

Answer:

18w

p^8

4k

5z^4

Step-by-step explanation:

1. 2w+ 16w= 18w

2. when multiplying exponents just add the exponents giving you p^8

3. 7k - 3k= 4k

4. 5z also equals 5z^1 and just like problem two you will just add the exponents but you will leave the coefficient( 5 alone) giving you 5^4

Answer:

March 25, 2021, Mrs. Chaues balance is _____

Step-by-step explanation:

Mrs. Chauke balance in words is Eighteen thousand five hundred eighty-two and seven hundredths

From the complete question, we have the following highlights:

When 18,582,07 is expressed In words, it is:

Eighteen thousand five hundred eighty-two and seven hundredths

Hence, Mrs. Chauke balance on the 25 March 2021 in words is Eighteen thousand five hundred eighty-two and seven hundredths

Read more about the sum operation at:

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Answer:

[tex]6x-7x^{2}[/tex]

Step-by-step explanation:

o= 4x [tex]x[/tex] 2 +7x -3

0= 8x +7x -3

0= 15x -3

- 15x =-3

x= [tex]\frac{1}{5}[/tex]

x= 0.2  , x =[tex]x^{-1}[/tex]

[tex](f+g)(2)[/tex]

[tex]18 - 7x -5-7 \\6-7x\\[/tex]

Answer:

0.25

Step-by-step explanation:

11/12 = 0.917

2/3 = 0.667

0.917 - 0.667 = 0.25

Answer 3.04 x 10^-2

I hope that helps!

Answer:

1/1

Step-by-step explanation:

22/22 =1

Answer:

75200 x 1/100= 752

hope this helps!

Answer:

y ≤ 6

y ≥ -x + 2

y > x + 4

Step-by-step explanation:

The solid line means ≤ or ≥

The dashed line means < or >

y ≤ 6

y ≥ -x + 2

y > x + 4

This would be the average value of R(x) between 10 m and 50 m :

[tex]\displaystyle \frac1{50\,\mathrm m - 10\,\mathrm m} \int_{10\,\rm m}^{50\,\rm m} kx^2 \, dx[/tex]

The average intensity of radiation between 10 meters and 50 meters from the source is 1033.33 k.

It is the reverse of differentiation.

The intensity of radiation at a distance x meters from a source is modeled by the function given by

R(x)=kx²

where k is a positive constant.

The average intensity of radiation between 10 meters and 50 meters from the source will be

[tex]\rm Average \ intensity = \dfrac{1}{50 - 10} \int_{10}^{50} \ kx^2 \ dx\\\\\\Average \ intensity = \dfrac{k}{50 - 10} [ \dfrac{x^3}{3} ]_{10}^{50}\\\\\\Average \ intensity = \dfrac{k}{40} [ \dfrac{50^3}{3} - \dfrac{10^3}{3} ]\\\\\\Average \ intensity =1033.33k[/tex]

More about the integration link is given below.

https://brainly.com/question/18651211

Answer:

Rectangle is the closed shaped polygon with 4 sides. Opposite sides of the rectangle are equal. when the length and the width of the sandbox are doubled the percent of change in the perimeter is 100 percent and the percent of change in the area is 300 percent.Given-The length of the sandbox is 10.The width of the sandbox is 6.a) The percent of change in the perimeter.Perimeter of the rectangleThe perimeter of the rectangle is the twice of the sum of its side.The perimeter P of the sandbox is,When the length and the width of the sandbox are doubled the perimeter of the box is,Percentage  change in the perimeter,b) The percent of change in the area.Area of the rectangleThe area of the rectangle is the product of its side.The area A of the sandbox is,When the length and the width of the sandbox are doubled the area  of the box is,Percentage  change in the area,Thus when the length and the width of the sandbox are doubled the percent of change in the perimeter is 100 percent and the percent of change in the area is 300 percent.

Answer:

you answer is correct

Step-by-step explanation:

they is no problem with your answer.

The possible outcomes are the sample space of the game

The number of possible outcomes in the game is 3

The number of games is given as:

n = 5 i.e. 5 games to finish the season

In each game, the soccer team can either win, lose or tie.

So, we have the outcome of each game to be:

Outcome = {Win, Lose, Tie}

Count the outcomes

Count = 3

Hence, the number of possible outcomes in the game is 3

Read more about sample size at:

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Answer:

[tex]x=\frac{1}{2}[/tex]

Step-by-step explanation:

equation of a circle:  [tex](x - h)^2+(y-k)^2=r^2[/tex]

where (h, k) = center and r = radius

From inspection, we can see that the center of the circle = (0, 0)

and the radius = 1

[tex]\implies (x - 0)^2+(y-0)^2=1^2[/tex]

[tex]\implies x^2+y^2=1[/tex]

Substitute [tex]y=\frac{\sqrt{3}}{2}[/tex]  into  [tex]x^2+y^2=1[/tex]  and solve for [tex]x[/tex]:

[tex]\implies x^2+(\frac{\sqrt{3}}{2})^2=1[/tex]

[tex]\implies x^2+\frac{3}{4}=1[/tex]

[tex]\implies x^2=\frac{1}{4}[/tex]

[tex]\implies x=\pm \sqrt{\frac{1}{4}}[/tex]

[tex]\implies x=\pm\frac{1}{2}[/tex]

As point P is in quadrant 1, [tex]x[/tex] is positive, so [tex]x=\frac{1}{2}[/tex]

Let's make a system of equations:

144/x=y

168/(x+5)=y

So,

144/x=168/(x+5)

Solving using cross multiplication,

x=30

So, her average speed for driving 144 miles was 30 miles per hour.

-Hunter

Answer:

x = 124.5

Step-by-step explanation:

adjacent given 88 and asked us to find x, which is a hypotenuse.

using the cosine formula:

[tex]\frac{adjacent}{hypotenuse} = cos(y)[/tex]

[tex]\frac{88}{hypotenuse} = cos(45)[/tex]

[tex]hypotenuse = \frac{88}{cos(45)}[/tex]

[tex]hypotenuse = 124.5[/tex]

Answer:

LCM of 3, 5, and 11 is 165.

Step-by-step explanation: