Determine the scale factor for each reduction.

a) Quadrilateral B is a reduction of quadrilateral A.

b) Quadrilateral C is a reduction of quadrilateral A.

c) Quadrilateral B is a reduction of quadrilateral C.

Answer:

A is the answer

// x = -2(y + 3)2-1

f(2) = 10

[tex]Substitute\ x=2\ into\ f(x)=3x+4[/tex]

[tex]f(2)=3\times 2+4[/tex]

[tex]f(2)=6+4[/tex]

[tex]f(2)=10[/tex]

I hope this helps you

:)

Answer:

The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (160 meters).

To find the circumference of the circle, we need to know the diameter.

Circumference of a circle: dπ or 2rπ, where d represents diameter and r represents radius

The diameter of the circle happens to be the same as the width of the rectangle. We know that the area of a rectangle is found by multiplying its length by its width. We know that the area is 14400 and that its length is 160.

Width: area divided by length

14400160=90

The diameter of the circle and the width of the rectangle is 90 meters.

Circumference:

90⋅π=90π→ If you are using an approximation such as 3.14 for π, multiply that by 90

Add 160⋅2 to the circumference since the lengths of the rectangle are also part of the perimeter.

160⋅2=320

The perimeter of the​ track is 548.4 meters.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Given that, the area of the rectangle is 7,200 square meters.

From the figure, length of a rectangle = 120 meter

Here, area of rectangle = Length×Width

120×Width=7200

Width = 60 meter

So, diameter of semicircle is 60 meter.

Radius = 30 meter

Perimeter of track = Perimeter of rectangle + Circumference of two semicircle

= 2(120+60)+2πr

= 360+2×3.14×30

= 360+188.4

= 548.4 meters

Therefore, the perimeter of the​ track is 548.4 meters.

To learn more about the perimeter visit:

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Answer:

D

Step-by-step explanation:

the Fundamental rule of Algebra states that a polynomial of degree n has n zeros, some of which may be complex.

thus for the given cubic function of degree 3 there will be 3 zeros

the graph indicates a zero at x = 4 which is real

thus there will be 2 complex zeros.

that is the cubic function has 1 real zero and 2 complex zeros

Answer:

Area = 201.1

Cicumference = 50.27

Your answers are correct

Step-by-step explanation:

A = Area = ?

C = Circumference = ?

SInce both the "Area" and "Circumference" are unknown, we use the formula:

[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi { d }^{ 2 }}[/tex]

Remember that:

The diameter is the length of the line through the center

and

The radius is half the diameter

Given:

Diameter = 16

Now we substitute "16" for "d" into the formula and solve

[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi {( 16) }^{ 2 }}[/tex]

Calculate 16 to the power of 2 and get 256

[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi \times 256}[/tex]

Multiply [tex]\frac{1}{4}[/tex] and 256 to get  [tex]\frac{256}{4}[/tex]

[tex]\mathrm{A = \dfrac{ 256 }{ 4 } \pi}[/tex]

Divide 256 by 4 to get 64

[tex]\mathrm{A=64\pi }[/tex]

Multiply 64 and π to get 201.06192983

[tex]\mathrm{A=201.06192983}[/tex]

Round to the nearest tenth and get 201.1

[tex]\mathrm{A=201.1}[/tex]

Next we need to find the "Circumference"

Formula for finding circumference is:

C = πd

Given:

Diameter = 16

Now we substitute "16" for "d" into the formula and solve

C = π(16)

Multiply 16 and π to get 50.265482457

C = 50.265482457

Round to the nearest hundreth and get 50.27

C = 50.27

So, your answers are correct.

The only mistake that could happen is whether you need to round to the nearest hundreth or tenth.

By working with percentages, we will see that there are 1,080 seats in the theater.

We know that the students filled 702 seats, leaving 35% vacant.

Then 702 seats represents the (100% - 35% = 65%) of the total number of seats.

So, if the total number of seats is S, we can write:

(65%/100%)*S as the 65% of S.

Then we solve:

(65%/100%)*S = 702

0.65*S = 702

S = 702/0.65 = 1,080

There are 1,080 seats in the theater.

If you want to learn more about percentages, you can read:

https://brainly.com/question/843074

Answer:

It's -32x^2

Step-by-step explanation:

[tex]3x + 2y = 6[/tex]

[tex] - 3x + y = 12[/tex]

[tex]3x - 3x + 2y + y = 6 + 12[/tex]

[tex]3y = 18[/tex]

[tex]y = \frac{18}{3} = 6[/tex]

[tex]3x + 2y = 6[/tex]

[tex]3x + 2(6) = 6[/tex]

[tex]3x + 12 = 6[/tex]

[tex]3x = 6 - 12[/tex]

[tex]3x = - 6[/tex]

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

Answer:

1/13

Step-by-step explanation:

Knowing that:

In a deck of card half of the deck of card are red: 1/2  

Also means 52/2 = 26

There are 2 red 10 in a deck of card.

Solve:

Since there are 2 red 10 in a deck of card and half of the deck of 52 card are red also known as 26.

Thus, the probability of getting a red 10 is 2/26. As you can see that not a answer choice. That because 2/26 is a even number as well as it means that it can be simplify.

GCD (or HCF) of 2 and 26 is 2.

Therefore, divide both by 2.

2/2 = 1

26/2 = 13

Hence, we can see that the simplify form is 1/13.

As a result, the probability of getting a red 10 is 1/13.

~lenvy~

The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios

Triangle 1

The value of x is calculated using the following tangent ratio

tan(25) = 10/x

Make x the subject

x = 10/tan(25)

Evaluate

x = 21.4

Triangle 2

The value of x is calculated using the following tangent ratio

tan(x) = 8/5

Evaluate the quotient

tan(x) = 1.6

Take the arc tan of both sides

x = arctan(1.6)

Evaluate

x = 58

Triangle 3

The value of x is calculated using the following tangent ratio

tan(x) = 0.34/0.15

Evaluate the quotient

tan(x) = 2.27

Take the arc tan of both sides

x = arctan(2.27)

Evaluate

x = 66

The lengths of the diagonals are:

L1 = 2 in

L2 = 5 in

Represent the angles with x and y.

The measures of the angles are calculated using the following tangent ratios

tan(0.5x) = 2/5 and y = 90 - x

Evaluate the quotient

tan(0.5x) = 0.4

Take the arc tan of both sides

0.5x = arctan(0.4)

Evaluate

0.5x = 22

Divide by 0.5

x = 44

Recall that:

y = 90 - x

This gives

y = 90 - 44

Evaluate

y = 46

Hence, the angles in the rhombus are 44 and 46 degrees, respectively

Read more about tangent ratio at:

https://brainly.com/question/13347349

Answer:

60% test score

Step-by-step explanation:

When x is 6, y is 60

Answer:

She needs to buy at least 9 sets of forks to have enough

The number of sets of forks Evelyn should buy is 9 if Evelyn needs to order some new supplies for the restaurant where she works.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Evelyn needs to order some new supplies for the restaurant where she works. the restaurant needs at least 309 forks. there are currently 226 forks.

Let x be the minimum number of sets of forks Evelyn should buy.

The value of x can be found as follows:

x = (309 - 226)/10

x = 83/10

x = 8.3 = 9 (because the restaurant needs at least 309 forks)

Thus, the number of sets of forks Evelyn should buy is 9 if Evelyn needs to order some new supplies for the restaurant where she works.

Learn more about the linear equation here:

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Answer:

13.5

Step-by-step explanation:

That is the mean between 6 & 21

Answer:

you can solve by using the formula

volume = length x width x height

(I'm also bad at math so sorry if this isn't very helpful)

Step-by-step explanation:

1 all the bases are the same which means your length and width should be 5m

2 just multiply 5 x 5 x 14.2 and that should give you the awnser

The sound will travel fastest at an elevation of 500m,

Elevation      Temperature

500m              11.8°C (MAXIMUM)

1000m               8.5°C

1500m               5.3°C

2000m               2.0°C

Molecules at higher temperatures have more energy and they can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.

So, when the temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.

So, Sound will travel fastest at 500m elevation.

Therefore, At an elevation of 500m, the sound will travel fastest.

To get more about sound waves visit:

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Answer:

500 meters

Step-by-step explanation:

Answer:

123 this is a good idea to make sure you have the best time ever.

Answer: The roots are the x-intercepts! They are the values of x that make the quadratic equal to 0.

2. There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

Step-by-step explanation:

Answer:

Step-by-step explanation:

hope this helps

True:

   Area of trapezoid = [tex]\frac{1}{2}(b1 + b2) * h[/tex]

Hope that helps!

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

All numbers:

2, 3, 4 → 3

Numbers less than 4:

2 and 3 → 2

Odd number:

3 → 1

The probability of picking a number less than 4:

The probability of picking an odd number:

The probability of picking a number less than 4 and then picking an odd number:

Answer:

acute

Step-by-step explanation:

Here are some helpful rules that will help you out in the future with these questions.

If...

a^2 + b^2 = c^2 its a right triangle

a^2 + b^2 < c^2 its obtuse

a^2 + b^2 > c^2 its acute

so...

Since 6+8>10

its acute

Answer:

Part A: X·8=Y

X represents the amount of people. Multiply X by 8 to see how many (Y) ounces of broccoli will be needed.

4·8=32

Jerome would be able to feed 4 people with 32 ounces of broccoli if each person is to get 8 ounces.

Step-by-step explanation:

Answer:

(4x+5)=57 (2x+7)=33

Step-by-step explanation:

So, if a complementary angle is 90, our equation is (4x+5)+(2x+7)=90, and we get 13, so x=13, and we put that into our equation, so our first equation is now

Our first solution is (4(13)+5), which equals 57, and our second model is (2(13)+7), which equals 33, hence the angles' degrees are 57 and 33.

Answer:

Total Payment: $23.52

Savings: $4.15

Tax: $1.44

Answer:

Volume of fish tank A is 200

Volume of tank B is 160

Tank A’s volume is greater by 40 cubic feet

Step-by-step explanation:

25 x 8 = 200

40 x 4 = 160

So:

200 - 160 = 40

Number 2 is incorrect :

[tex]\frac{-25x^{3}+15x }{5x} = \frac{-25x^{3}}{5x} + \frac{15x}{5x} = -5x^{2} + 3[/tex]

Number 1 :

[tex](-5)^{3} . 13^{-2} . (-5) .13^{9} = -125 . \frac{1}{13^{2}} .(-5).13^{9} = 625 . \frac{13^{9}}{13^{2}} = 625 . 13^{7}[/tex] (i dont think we can bare calculate this cause it;s too big ;-;)

[tex]\sf are a \ of \ triangle : \frac{1}{2}*base *height[/tex]

[tex]\sf are a \ of \ rectangle : Length * Width[/tex]

total area :

[tex]\sf are a \ of \ rectangle + area \ of \ triangle[/tex]

[tex]\rightarrow \sf 9 * 10 + \frac{1}{2} *8.5*10[/tex]

[tex]\rightarrow \sf 132.5 \ in^2[/tex]

Answer:

g ≤ 4

Step-by-step explanation:

4g - 5 ≤ 11

Add 5 on both sides,

4g ≤ 11 + 5

4g ≤ 16

Divide 4 on both sides,

g ≤ 4

Answer:

10x^3+8x^2-4x+1 is answer