The diagram shows a pair of similar figures.

What do the center and the scale factor need to be in order to transform triangle ace to triangle abd ?

Answer:

49 and 98, with an area of 4802

Step-by-step explanation:

So, let X be one of the sides, and Y be the other
X*Y would be the area of the rectangle since width*length = area, and X is the width and Y is the length
2X+Y would be the perimeter, excluding the wall (since we don't need fencing for the side sticking to the wall)

To find the max area, we can plot our two equations
so, our two equations:
1. 2X+Y=196 (since perimeter)
2. X*Y=area, and we're trying to maximise it
We can re-arrange the first equation to get
3. Y=196-2X
plug our new equation (#3) into the second equation(#2)
to get:
X*(196-2X)=area=196X-[tex]2X^2[/tex]
And now that we have this equation, we can either:
Graph it to see the largest area (the highest point)
Or calculate the max area using calc
We have a quadratic function that goes up, then down as X increases, so we'll try to find the point where the function stops going up, and instead goes down as X increases (image is attached, not to scale). Recall that the  first derivative basically tells is the slope of a function/equation at a given X, so when the function is at a slope of 0, we know that the area is at its max point.
Take the first derivative
(196X-2X^2)'=196-2(2X)=196-4X
196-4X is the equation of the slope, so when X = 49, then the slope is 0
This means that one of the side lengths should be 49
To find out which one, we can use trial and error: (there are 2 cases)
1. 49*((196-49)/2)=3601.5
or:
2. 49*(196-2*49)=4802
The second option is correct since the number, or the area is larger.
Side length 1: 49
Side length 2: (196-2*49), or 98

Note: there's definitely another way to do this problem

Answer:

$3.78 per pound

Step-by-step explanation:

5 tons = 10,000 lbs

37,800/10,000 = 3.78

1/12 yards taken for each gifts

Explanation:

[tex]\ \sf total \ material \rightarrow \dfrac{1}{3}[/tex]

[tex]\ \sf each \ gift \ material \rightarrow \dfrac{1}{3} \div 4[/tex]

[tex]\ \sf each \ gift \ material \rightarrow \dfrac{1}{3} \ * \ \dfrac{1}{4}[/tex]

[tex]\ \sf each \ gift \ material \rightarrow \dfrac{1}{12}[/tex]

Material per gift:-

Given -

To find -

Concept -

Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.

Solution -

[tex]\rightarrow\sf{(13x+24)^{ \circ}+(5x-6)^{ \circ}=180^{ \circ}}[/tex]

[tex]\rightarrow\sf{13x+5x+24-6=180}[/tex]

[tex]\rightarrow\sf{18x+18=180}[/tex]

[tex]\rightarrow\sf{18x+18=180}[/tex]

[tex]\rightarrow\sf{18(x+1)=180}[/tex]

[tex]\rightarrow\sf{x+1=\frac{180}{18}}[/tex]

[tex]\rightarrow\sf{x+1=10}[/tex]

[tex]\rightarrow\sf{x=10-1}[/tex]

[tex]\rightarrow\boxed{\bf{x=9}}[/tex]

m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°

Henceforth, m∠2 = 39°

Answer:

It is the left one.

Step-by-step explanation:

This (<) symbol shows us which number is bigger. In this case, 4.626 is larger than 4.606, so we put this "<"

Answer:

the middle one.

im just guessing

Answer:

D

Step-by-step explanation:

34 shows up twice more than the rest

Answer:

27720cm

Step-by-step explanation:

to find area, we multiply all the widths.

11×14×20×9= 27720cm

Answer:

235 square centimeters

Step-by-step explanation:

Split The Shape Into 2.

Shape 1: 11 cm by 14 cm

11 cm * 14 cm = 154 square centimeters

Shape 2: (20 - 11) cm by 9 cm

(20 - 11) cm * 9 cm = 9 cm * 9 cm = 81 square centimeters

Original Shape = Shape 1 + Shape 2

154 + 81 = 235 square centimeters

Answer:

the answer is 0.35

Step-by-step explanation:

You need to multiply the denominator (10) by a hundred in order to add them together but you also need to multiply the number above that(0.35) and it becomes 3.5, that multiplied by 8 is 28. Hope it helped

Answer:

Perimeter = 12

Area = 8

Step-by-step explanation: For the perimeter add all the sides so the top and bottom is both 2 so 2+2 = 4.

For the sides its both 4 so 4 + 4 = 8.

8 + 4 = 12

So the perimeter is 12.

For area just count all the blue squares and there is 8 squares.

So the area is 8.

Hope this helps you.

Answer:

Perimeter = 12

Area = 8

*Brainliest would be appreciated.

Step-by-step explanation:

Answer:

Casey's snack mix is slightly cheaper per ounce.

Step-by-step explanation:

Divide the total price per box by the amount of ounces. This results in:

- Kim's snack mix costing $0.16 per ounce.

- Casey's snack mix costing $0.14 per ounce.

Therefore, by $0.02, Casey's snack mix is cheaper even though the total price is higher due to having more mix.

Answer:

OK I think that their is 9 options

Step-by-step explanation:

1.(red,tulips,plaid)  2.(red,daisies,striped)   3.(red,roses,solid)  

4 .(blue,tulips,plaid)   5.(blue,daisies,striped)  6.(blue, roses,solid)  7.(yellow,tulips,plaid)  8.(yellow, daisies,striped)   9.(yellow, roses, solid)

Hope this somewhat helps  :)

Answer:

The answer is d and b hope this helps!

Answer:

80

Step-by-step explanation:

So, let's say the total number of pizzas is x

If 15% of x, the total, is 12, then x * 0.15 must = 12

Use this to make an equation

12 = 0.15x

Divide both sides by 0.15 to get x on its own

12 / 0.15 = x0.15 / 0.15

80 = x

80 pizzas were sold

Answer:

540 cm²

Step-by-step explanation:

Area of the figure

Area of 4 figures

Answer:

5 2/9 would be the answer

Answer:

40%

Step-by-step explanation:

2/5 = 0.4 or 40% (2 x 2 = 4, 5 x 5 = 10)

Therefore 40% of the students earned an A.

Answer:

Step-by-step explanation:

Remark

Use the formula for the Area of a Triangle to find the number of square feet the paint will have to cover.

Formula

Area = 1/2 base * height

Givens

b = 20 feet

h = 21 feet

Solution

Area = 1/2 * 20 * 21

Area = 1/2 * 420

Area = 210 square feet

Answer:

20

Step-by-step explanation:

So, both of those angles are equal to each other because they are congruent. So, we can set their equations equal to each other to find x.

Solve it like this:

3x + 50 = 6x - 10

-3x           -3x    (always subtracts the variables first (x), then the other numbers)

50 = 3x -10

+10        +10

60 = 3x

Then, divide both sides by the number next to the variable (3)

60/3 = 20, 3x/3 = x

So, you get:

20 = x

Answer:

I think the volume is 15

Step-by-step explanation:

2.5 x 3 then multiply that by 2

Answer:

(6,6)

Step-by-step explanation:

Have a good day! Hope this helped :)

Answer:

E. 24 and 32

Step-by-step explanation:

this is because the factors for each number

24= 1,2,4,6,8,12,24

36= 1,2,3,4,8,12,16,32

Answer: ∠DOB: 48°

Step-by-step explanation:

1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°

2. now we can solve for the missing variable, n.

108°+3n°=180° → subtract both sides by → 3n°=72° → divide both sides by 3 → n=24°

3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°

hope this heped! ♡

So you add 600$+200$ then divide it by ten

Answe is:80$

Answer:

112.9 cubic meters

Step-by-step explanation:

Formula for Sphere: (4/3) * π*r*3

Since the hemisphere is half of the sphere, plug in variables and multiply.

Answer:

0.6796875

Step-by-step explanation:

1. We assume, that the number 9.375 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 9.375 is 100%, so we can write it down as 9.375=100%.

4. We know, that x is 7.25% of the output value, so we can write it down as x=7.25%.

5. Now we have two simple equations:

1) 9.375=100%

2) x=7.25%

where the sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

9.375/x=100%/7.25%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 7.25% of 9.375

9.375/x=100/7.25

(9.375/x)*x=(100/7.25)*x       - we multiply both sides of the equation by x

9.375=13.793103448276*x       - we divide both sides of the equation by (13.793103448276) to get x

9.375/13.793103448276=x

0.6796875=x

x=0.6796875

now we have:

7.25% of 9.375=0.6796875

The percentage of the mile 7.25% of 9.375 =0.6796875.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

We have to find percentage of the mile times range from 7.25 to 9.375.

let 9.375 represents 100% and x represents 7.25%.

Then, using proportion we can write

9.375/x=100%/7.25%

9.375/x=100/7.25

9.375 (7.25)= 100x

100x = 67.96875

x= 0.6796875

Thus, 7.25% of 9.375 =0.6796875

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ2

Answer:

a = side length a

b = side length b = bottom triangle base b

c = side length c

h = height of prism

H = height of bottom triangle

V = volume

Atot = total surface area = all sides

Alat = lateral surface area = all rectangular sides

Atop = top surface area = top triangle

Abot = bottom surface area = bottom triangle

Step-by-step explanation:

Answer:

792ft²

Step-by-step explanation:  

Have a blessed day

I hope this helps

God bless

Answer:

1.5

(9÷6)

u basically just divide that's all

Answer:

201

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3+3x1=6 when you do math you go by PEMDAS (parentheses, exponents, multiplication,division,addition, and subtraction) always go in the order of PEMDAS. So with this question you do M (multiplication) then you do A(addition). so it will be 3x1=3+3=6 hope this sums it up

Answer:

Pink: 48 units sq

Blue: 42 units sq

Step-by-step explanation:

Area of a trapezoid: A=(h)(a+b)/2. To see where h, a, and b are located, see the reference image below. Always remember that a is the shorter end and b is the longer end. Since each grid mark goes by 2, we can use the graph to find the missing variables.

PINK trapezoid:

BLUE trapezoid:

Hope this helps!