Natalie just invited 100 100100 guests to a party in her small house. The base of her house is a rectangle with dimensions 8 m 8 m8, start text, space, m, end text by 16 m 16 m16, start text, space, m, end text. It's a good thing she didn't invite the fire marshal to the party!

Answers

Answer 1

Answer:

6 units by 12 units

Step-by-step explanation:

Since the measurements in meters are multiples of 4, it makes this problem a little easier.

First you divide 8 by 4 to get 2

Then divide 16 by 4 to get 4

After that you're going to multiply 3 units by both quotients separately.

So you multiply 3 by 2 to get 6

Then you multiply 3 by 4 to get 12

So then you end up with a 6 unit by 12 unit drawing.

therefore, the answer is

6 units by 12 units

Related Questions

yooooyooyoyyoyoyoyoyo I neeed help plz someone

Answers

Answer:

13, 14

Step-by-step explanation:

Solve the inequality, that is

Given

x + 2x + 6 < 50, that is

3x + 6 < 50 ( subtract 6 from both sides )

3x < 44 ( divide both sides by 3 )

x < 14 [tex]\frac{2}{3}[/tex]

The values in the set that are less than this value are 13 and 14

The answer will be 13,14

find the area of the isosceles triangle​

Answers

Answer:

60

Step-by-step explanation:

→Before you use the formula to find the area of the isosceles triangle, you must find the height, and to do this, you can use the Pythagorean Theorem:

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

→We are given the hypotenuse, "c," as 13, and the leg is 5 (we split the base of 10 in half).

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

→Subtract 25 from both sides:

[tex]b^2=144[/tex]

→To get "b," by itself, take the square root of both sides:

[tex]\sqrt{b^2} =\sqrt{144}[/tex]

[tex]b = 12[/tex]

→Formula for area:

A = [tex]\frac{bh}{2}[/tex]

A = [tex]\frac{(10)(12)}{2}[/tex]

A = 60

The area of the isosceles triangle is 60 square units.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.

The area is calculated by having the height of the triangle and the base of the triangle.

The height is calculated by using the Pythagorean theorem.

H² = P² + B²

13² = P² + 5²

P² = 169 - 25 = 144

P = √144 = 12 units

The perpendicular is the height of the triangle.

The area is calculated as:-

A = ( 1 / 2 ) x B x H

A = ( 1 / 2 ) x 10 x 12

A = 60 square units.

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Find the value of X in the triangle shown below

Answers

square root of 12 (D).

Answer:

D

Step-by-step explanation:

2^2 + x^2 = 4^2

4 + x^2 = 16

16-4=12

A cylinder has a base radius of 6 centimeters and a height of 20 centimeters. What is
its volume in cubic centimeters, to the nearest tenths place?

Answers

Solution,

Radius(r)=6 cm

Height(h)=20 cm

Volume of cylinder= pi (r)^2 h

=3.14*(6)^2*20

=3.14*36*20

=2260.8 cm^3

Hope it helps

Good luck on your assignment

The required volume of the given cylinder is 2260.8  cubic centimeters.

What is the volume of a cylinder?

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

As per the given question, we have data as:

Radius(r) = 6 cm

Height(h) = 20 cm

Volume of cylinder = πr²h

Volume of cylinder = 3.14 × (6)² × 20

Volume of cylinder = 3.14 × 36 × 20

Volume of cylinder = 2260.8 cm³

Thus, the required volume of the given cylinder is 2260.8  cubic centimeters.

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In two the three sentences, explain how you find the value that would complete the ordered pair if the point is on the
graph of f(x) = 4x - 6?
(3,_____)

Answers

To find the value that would complete the ordered pair you would have to plug x, which is 3, into the x in the equation f(x)=4x-6. So, you would multiply 4 by 3 and then subtract 6. The answer you get from that is 6 which is y, or f(x).

Plz help me Im stuck

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is simple the slope is in the drop box

Step-by-step explanation:

a^4 x b^3 (a^5xb^2) What is this simplified?

Answers

Answer:

a^9b^5x^2

I think that is right

Question:

[tex]a^{4}*b^{3}*(a^{5}*b^{2}[/tex][tex])[/tex]

Answer:

[tex]a^{9}b^{5}[/tex]

Step-by-step explanation:

remove brackets:

[tex]a^{4}b^{3}a^{5}b^{2}[/tex]

Simplify:

[tex]a^{9}b^{5}[/tex]

Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions does the equation have?


Discriminant = b2-4ac


0

1

2

24

Answers

Answer:

Option D.

The discriminat is equal to 24 which

Step-by-step explanation:

The quadratic equation is

-2x² + 3 = 0

Discriminat in quadratic equation tells us the number of solution a quadratic equation has.

For example, the quadratic equation

Ax² + bx + c = 0 will have a discriminat of b² - 4ac.

b² - 4ac is equal to the value of the discriminat and equal to the number of solutions the quadratic equation has.

In our question, we have -2x² + 3 = 0

A = -2

B = 0

C = 3

b² - 4ac = 0

Substitute the values into the above equation.

0² - 4(-2 ×3) = 0

0 + -4 × -6 = 0

24 = 0

The discriminat of the equation is 24

Answer

A.) 2

Step-by-step explanation:

Edge 2021

PLEASE HELP ME WITH THIS & IT DUE tomorrow.

ONLY DO 2 AND 3!!!!

PLEASE AND THANK YOU!!!

Answers

Answer:

the first one is 2.5, because if you divide the blue in half, you need to divide the yellow in half too

Answer 2:

copy and paste what i write or something:

3+2+1+1= 1 plum purple gallon. So for 3 gallons, you multiply each by 3.

So, Red tint=9

     Blue tint=6

     Yellow tint=3 and

     White tint=3

If 15/25 = x/100, then x=

Answers

Answer

x= 60

Step-by-step explanation:

100/25= 4

25*4 =100

15*4 = x

x= 60

Answer:

60

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Which equation can be used to find the unknown length, a, in this triangle? a² + 15² = 17² 15² + 17²= a² a² + 15 = 17² a + 15² = 17²

Answers

Answer:

a^2 + 15^2 = 17^2

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 =c^2

where a and b are the legs and c is the hypotenuse

a^2 + 15^2 = 17^2

Answer:

Answer is A

Step-by-step explanation:

its what the guy above me is saying

How is the the graph of y=
1
2x - 6
obtained from the graph of y = ?
A)
Vertically stretched by a factor of 2 and shifted right by 3 units.
B)
Vertically stretched by a factor of 3 and shifted right by 2 units.
Horizontally stretched by a factor of 2 and shifted left by 3 units.
D)
Horizontally compressed by a factor of 2 and shifted right by 3 units.

Answers

Answer:

did u ever find out the answer ?

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

When rounded to the nearest hundred, the number of seats in Aces Baseball Stadium is 9,100. What is the greatest number of seats that could be in this stadium?

Answers

9149 is the greatest number or seats

PLEASE HELP ME IF YOU CAN!


Many states use a lottery such as Powerball®. Game tickets select 5
white balls numbered from 1 to 69 and one red ball numbered from
1 to 26. Suppose a person wanted to purchase a lottery ticket every minute, each one with a new combination of numbers. At that rate, how many days would it take to purchase all possible ticket combinations?

Answers

Answer:

292,201,338 would be the answer to your question

Number of days purchase all possible ticket is 292,201,338

Given:

Number of white ball selected = 5

Total number of ball = 69

Number of red ball = 26

Find:

Number of days purchase all possible ticket

Computation:

Number of days purchase all possible ticket = ⁶⁹C₅ × ²⁶C₁

Number of days purchase all possible ticket = [69! / (5!64!)]26

Number of days purchase all possible ticket = [69 × 68 × 67 × 66 × 65 × 26] / [5 × 4 × 3 × 2 × 1]

Number of days purchase all possible ticket = 292,201,338

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The formula for calculating annual insurance premiums is
A. p = 20
B. p = 2db
C. p = 2d1
D. p = 120

Answers

Your answer is ..................B

Answer: Letter “B”, aka, “p=2db”.

Step-by-step explanation:

There is no explanation to this!

A circle has a radius of \blue{10}10start color #6495ed, 10, end color #6495ed. An arc in this circle has a central angle of 72^\circ72 ∘ 72, degrees. What is the length of the arc? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

pi pi pi pi

Step-by-step explanation:

The arc length covered by the central angle equal to 72° is 12.56°

What are arc length?

Arc length is the distance between two points along a section of a curve.

Given that, a circle with radius 10 units and a central angle equals 72°, we need to find the arc length covered by the central angle = 72°

We know that,

Arc length = 2π × radius × (θ / 360°), where θ is the central angle

Arc length = 2 × 3.14 × 10 × 72°/360°

= 12.56°

Hence, the arc length covered by the central angle equal 72° is 12.56°

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The complete question is attached

Select the correct answer from the drop-down menu.
Which expression represents the quotient of this model?
-x-2
X-2
-X + 2
x+2
quotient:

Answers

Answer:

The correct option is C.

C) -x + 2

Step-by-step explanation:

In mathematics, the term which is being divided is called a dividend. The term by which the dividend is getting divided is called a divisor. The quotient is the term we get after dividing the dividend by a divisor.

Here in this case, the dividend is written.

-x²    x    x

which in the equation form is written as

-x² + x + x

add the x terms to simplify

-x² + 2x

The divisor is given as x, divide the equation by x:

(-x² + 2x)/x

(-x²/x) + (2x/x)

-x+2

Which is the quotient.

Answer:

C

Step-by-step explanation:

Expand the polynomial 6x(x–3)–x(2–x)

Answers

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe

Answer:

7x^2-20x

Step-by-step explanation:

6x(x-3)-x(2-x)

6x^2 - 18x -2x + x^2

7x^2-20x

Predict the length of the third side of a triangle whose known sides are lengths:

4.) 4 ft, 11 ft

5.) 23 cm, 34 cm
--------------------------------------------------------------------------------------------------------
3.Tyler thinks that this figure has enough information to figure out the values of a and b

THE THIRD PICTURE IS FOR THIS QUESTION ^


thank you!

Answers

Answer:

For the second shape the answer is x=6 degrees

Step-by-step explanation:

180 degrees is the total supplementary angle. 180-148=12. Then you divide 12 by 2 to get 6 because there is to sides of the angles.

Any one good with proportion

Answers

Answer:

4. No

5. No

6. No

7. No

8. No

9a. 2 : 3 = 8 : 12 Extremes: 2, 12. Means: 3, 8

9b. 90 : 36 = 135 : 54 Extremes: 90, 54. Means: 36, 135

Step-by-step explanation:

4. 12 : 25 and 6 : 13 are NOT equal. NO.

5. 64 : 120 = 8 : 15 and 60 : 100 = 3 : 5. NOT equal. NO

6. 37 : 115 and 296 : 966 =  148 : 483. NOT equal. NO

7. 300 : 200 = 3 : 2 and 6 : 5 are NOT equal. NO.

8. 8 : 10 = 4 : 5 and 11 : 14 are NOT equal. NO.

9a. 2 : 3 = 8 : 12 Extremes: 2, 12. Means: 3, 8

9b. 90 : 36 = 135 : 54 Extremes: 90, 54. Means: 36, 1135

Which graph of ordered pairs shows a proportional relationship?
On a coordinate plane, points (1, negative 2) and (2, negative 4) are plotted.
On a coordinate plane, points (negative 2, negative 2) and (1, 3) are plotted.
On a coordinate plane, points (negative 2, 1) and (1, negative 2) are plotted.
On a coordinate plane, points (2, 1) and (4, 3) are plotted.

Answers

Answer:

  On a coordinate plane, points (1, negative 2) and (2, negative 4) are plotted

Step-by-step explanation:

In the choice shown above, y/x has the same ratio for both points. That is the hallmark of a proportional relationship.

Answer:

A

Step-by-step explanation:

I’m confused on how to verify the answer

Answers

Answer:

Step-by-step explanation:

all i know is how to get the original answer not the verified sorry

Answer:

#6- you can verify this way by plugging the value you got for x or y back into the equation. If it works, then the equation will be true.

By graphing- The solution on the graph is where the 2 lines will intersect. Find the coordinates of the intersection point and see if your answer has the same x and y values, if so, it is correct.

If $4500 earns $120 simple interest at a flat rate of 2% p.a., calculate the duration of the investment.

Please help me with understanding the steps to getting the answer as well as the solution. Thx

Answers

Answer:

1.33 years.

Step-by-step explanation:

[tex]I=PRT[/tex]

[tex]120=4500(0.02)T[/tex]

[tex]120/90=T[/tex]

[tex]T=4/3[/tex]

A Pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volume of the pyramid?

Answers

Answer:

correct choice is option d  [tex]v=2/9*s^3[/tex]

Step-by-step explanation:

volume of pyramid is given by 1/3(Area of base* height)

Given base of pyramid is square with length of each side s

area of square is given by [tex]side^2[/tex]

Thus, area of base of pyramid = [tex]s^2[/tex]

Height of pyramid = 2/3  of  side of base of pyramid = 2/3* s = 2s/3

Therefore volume of pyramid = 1/3(area of base of pyramid *Height of pyramid)

                                            = [tex]1/3(s^2*2s/3)[/tex]

                                             = [tex]2/9*s^3[/tex]

Thus, correct choice is option d [tex]v=2/9*s^3[/tex]

Answer:

Option D

Step-by-step explanation:

[tex]v=\frac{2}{9} s^{3}[/tex]

You are given a sequence of thirteen terms, each an integer, such that the fourth term is 17 and the eighth term is 29. You are also given that the sum of any three consecutive terms in the sequence is the same and that the sum of the thirteen terms is 217. What is the sequence? Someone pllzzzz help

Answers

Answer:

Step-by-step explanation:

Let the sequence as :

[tex]T_1, T_2, T_3, 17, T_5, T_6,......T_{13}[/tex]

I put 17 there as [tex]T_4[/tex] because I want 3 consecutive elements. Let A is the sum of them.

[tex]T_1+T_2+T_3 = A[/tex]

   17

[tex]T_5+T_6+T_7 = A[/tex]

[tex]T_8+T_9+T_{10} = A[/tex]

[tex]T_{11}+T_{12}+T_{13}=A[/tex]

[tex]\sum T_i + 17 = 217 = 4A + 17[/tex]

Hence A = 50

Then, back to the condition

[tex]T_4+ T_5 + T_6 = A = 50[/tex]

[tex]T_5+T_6+T_7 = A = 50[/tex]

Subtract them, we get

[tex]T_4 - T_7 = 0[/tex]

That gives you

[tex]T_4 = T_7 = 17[/tex]

Do the same with other groups.

Activity
A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms? In this activity, you’ll work through this pom-pom problem step by step.

Part E
Now solve for w, b, and r for a pair of pom-poms using the total number of strands you found in part D. Solve three proportions similar to the work you did in Part B. Show your calculations.

Answers

Answer:

w: 56

b: 40

r: 64

Step-by-step explanation:

A pair of pom-poms need: 80 × 2 = 160 (strands)

To make a pair of pom-poms:

w: 160 × 35% = 56 (strands)

b:  160 × 25% = 40 (strands)

r:   160 × 40% = 64 (strands)

28 white, 20 blue and 32 red strands are needed to make a pair of pom-poms.

What is percentage?

Percentage is defined as ratio expressed as a fraction of 100.

Given that, total Strands = 80

∵white strands = 35%

w =  35%×80 =

w= 35/100×80

w =  28

∵blue strands = 25%

b =  25%× 80

b =  25/100× 80

b = 20

∵red strands = 40%

r = 40%× 80

r = 40/100× 80

r = 32

Thus, 28 white, 20 blue and 32 red strands are needed to make a pair of pom-poms.

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What's the area and the perimeter of rectangle ABDC shown in the coordinate plane? answers : A) Area = 24 square units; perimeter = 32 units B) Area = 32 square units; perimeter = 24 units C) Area = 24 units; perimeter = 32 square units D) Area = 32 units; perimeter = 24 square units

Answers

The answer is d because that’s the answer

Area of rectangle ABCD is, 32 units²

And, Perimeter of rectangle is, 24 units

We have to given that,

A rectangle ABCD is shown in image.

And, Coordinates are,

A = (- 5, 5)

B = (- 1, 5)

C = (- 5, - 3)

D = (- 1, - 3)

Now, We can use the distance formula for finding the length and width of rectangle.

Lenght (AC) = √(- 5 + 5)² + (5 + 3)²

AC = √8²

AC = 8

Width (AB) = √(- 5 + 1)² + (5 - 5)²

AB = √16

AB = 4

Therefore, Area of rectangle ABCD is,

Area = Length × Width

Area = 8 × 4 = 32 units²

Perimeter of rectangle is,

P = 2 (Length + Width)

P = 2 (8 + 4)

P = 2 × 12

P = 24 Units

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Polygons ABCD and A′B′C′D′ are shown on the following coordinate grid: What set of transformations is performed on ABCD to form A′B′C′D′? A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygonABCD is shown with vertex A on ordered pair 2, negative 2, vertex B on ordered pair 4, negative 2, vertex C on ordered pair 1, negative 3 and vertex D on ordered pair 5, negative 3. A polygonA prime B prime C prime D prime is shown with vertex A prime on ordered pair 1, 2 , vertex B prime on ordered pair 1, 4, vertex C prime on ordered 2, 1 and vertex D prime on ordered pair 2, 5. A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left, followed by a 90 degrees counterclockwise rotation about the origin A 270 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left followed by a 270 degrees counterclockwise rotation about the origin

Answers

Answer:

  A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left

Step-by-step explanation:

The transformation of coordinates for figure ABCD ⇒ A'B'C'D' is ...

   (x, y) ⇒ (-y-1, x)

__

We know the transformation ...

  (x, y) ⇒ (-y, x)

represents a CCW rotation by 90°. And the transformation ...

  (x, y) ⇒ (x-1, y)

represents a translation 1 unit left.

Combined, the rotation and translation produce the transformation described above. This figure has undergone ...

   a 90° CCW rotation about the origin, followed by a translation 1 unit left.

Which statement is true about the ranges for the box plots?

A number line goes from 0 to 16. Morning's whiskers range from 3 to 15, and the box ranges from 5 to 12. A line divides the box at 8. Afternoon's whiskers range from 4 to 16, and the box ranges from 8 to 15. A line divides the box at 14.

The range of the Morning box plot is the same as the range of the Afternoon box plot.
The range of the Morning box plot is 1 less than the range of the Afternoon box plot.
The range of the Morning box plot is 1 more than the range of the Afternoon box plot.
The range of the Morning box plot is 2 less than the range of the Afternoon box plot

Answers

Answer:

The range of the Morning box plot is the same as the range of the Afternoon box plot.

Step-by-step explanation:

Data provided in the question

Number line = 0 to 16

Morning whiskers range = 3 to 15

Box range = 5 to 12

Line divided = 8

Afternoon whiskers range = 4 to 16

Box range = 8 to 15

Line divided = 14

Based on the above information,

The morning whiskers range difference is

= 12 - 5

= 7

And, the afternoon whiskers range difference is

= 15 - 8

= 7

Therefore the first option is correct

Answer: A. The range of the Morning box plot is the same as the range of the Afternoon box plot.

How much longer does it take a automoblie to travel one mile at 20 miles per hour than at 30 miles per hour? show your work.
a. 1 minute
b. 10 minutes
c. 20 minutes
d. none of these answers.

Answers

Answer:

A

Step-by-step explanation:

At the rate of 20 miles per hour, the car will travel 20 miles every 60 minutes, or a third of a mile every minute. This means that it will travel a mile in 3 minutes. For the car travelling at 30 miles per hour, it will travel half a mile every minute, or a mile every 2 minutes. 3-2=1 minute, or choice A. Hope this helps!

The answer is A ! 1 minute
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