Quadrilateral CDEF is dilated by a scale factor of į to form quadrilateral C'D'E'F'.
What is the measure of side EF?

Answer:

x = -5

Step-by-step explanation:

One is given a function and the value of the function at a certain output. One must set the function to the given output, and solve to find the input,

h(x) = - x - 2

h(x) = 3

Set the output equal to the input,

h(x) = - x - 2 = 3

Inverse operations,

- x - 2 = 3

    +2    +2

- x = 5

*-1   *-1

x = -5

Answer:

r = 6 cm

Step-by-step explanation:

C = 2πr

12π = 2πr

12π/2π = 2πr/2π

(The mistake is in the next step when calculating the division.

12π/2π = 6, same way 2πr/2π = r and NOT πr)

6 = r

r = 6 cm

Answer:

In which step did the student make an error?

Step

✔ 4

.

Solving for r, the length of the radius should be

✔ 6

cm.

Step-by-step explanation:

Answer:

See below for answers and explanations

Step-by-step explanation:

1) y=9, therefore x=2y=2(9)=18

2) y=32/2=16, therefore x=y√3=16√3

Answer:

y=x-3

-1＝2-3＝-1

............

Answer:

total area = 14.6 units²

Step-by-step explanation:

rectangle = 3 x 5 = 15

cos 30 = height/3

triangle height = 2.6

triangle = 1/2(3)(2.6) = 3.9

semi circle = (3.14)(1.5²)(.5) = 3.53

total area = 15 + 3.53 - 3.9 = 14.63

Answer:

5

2y

40

Step-by-step explanation:

Answer:

y = 5

Because [2y] is on both sides of the equation, 8y must be equal to [40] so that the equation is true.

Step-by-step explanation:

Combine like terms to find the value of y.

8y + 2y = 2y + 40

10y = 2y + 40

8y = 40

y = 5

As we can see, we ended with 8y = 40, and 2y is the only term on both sides of the equation.

Answer:

True.

Explanation:

The more experiments that are performed, the more data can be collected.

Answer:

P=20%

Step-by-step explanation:

Let's suppose that each question in the test has one and only one correct answer. This means we have 1 desired outcome out of the total 5 desired outcomes. Therefore:

Probability=#of desired outcomes / #of possible outcomes

or

[tex]P=\frac{1 correct}{5 opctions}[/tex]

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

P=0.20

P=20%

Answer:

8 and 2/3 or 8.666666 forever

Step-by-step explanation:

Answer:

240 degrees

Step-by-step explanation:

Answer: 2.5

Step-by-step explanation: r= sqrt(V/pi*h)

sqrt(171/(8.7)(3.14)

Step-by-step explanation:

solution given.:

radius=[r] let

height[h]=8.7in

volume[V] of cylinder=171in³

π=3.14

we have

volume[V] of cylinder=πr²h

171=πr×8.7

r²=[tex] \frac{171}{3.14×8.7}[/tex]

r=[tex] \sqrt{6.26} [/tex]

r=2.5in

so radius is 2.5in

Answer:

≈ 107.33...

Step-by-step explanation:

2 [tex]\sqrt{12}[/tex] x 4[tex]\sqrt{15}[/tex] = 8 [tex]\sqrt{12 *15}[/tex] ≈ 8 x 13.41.. ≈ 107.33...

The Answer Is g(x)=1/3x^2

Use (3,3) to find the equation.

3^2x1/3=3

Meaning y or g(x) equals 3. Which is true.

Answer:

I'm pretty sure its (A)

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

Answer:

A. 5x° + (2x + 7)° = 90°

Step-by-step explanation:

Complementary angles add up to give us 90°.

From the given diagram, we have a part of the angles on a straight line as a right angle. Which means it is 90°. Therefore, the other two angles, 5x° and (2x + 7)° will add up to give us 90°. Thus, 5x° and (2x + 7)° are complementary angles.

Therefore:

5x° + (2x + 7)° = 90°

Answer:

Step-by-step explanation:

This is a translation of the absolute value function:

The function is:

Answer:

Step-by-step explanation:

First

Answer:

r=14 in

Step-by-step explanation:

The volume of a cylinder is given by:

[tex]v = \pi \times {r}^{2} \times h[/tex]

So,

[tex]r = \sqrt{ \frac{v}{\pi \times h} } = \sqrt{ \frac{196 \times \pi}{\pi \times 1} } = \sqrt{196} = 14[/tex]

Step-by-step explanation:

solution given.:

radius[r] =r

height[h]=1in

volume[V] of cylinder=196πin³

we have

volume[V] of cylinder=πr²h

196π=πr×1

r²=[tex] \frac{196π}{π}[/tex]

r=[tex] \sqrt{196} [/tex]

r=14in

so radius is 14in

Answer:

5 pizzas

Step-by-step explanation:

8people times 3slices = 24 slices needed

24slices/ 5 pizzas per box= 4.8   you cant buy 4.8 boxes of pizza, so you round it to 5 boxes.

Answer:

a little strap

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

=============================================================

Explanation:

Multiply out those values mentioned to get the final answer: 3*3*2 = 9*2 = 18.

There are 18 different outfit combos.

---------------

Further explanation (optional section):

Let's say we only worried about the sweaters and shoes, and for now there's only one color for the skirt. We have 3 colors for the sweaters and 2 for the shoes. Imagine a table with 3 rows and 2 columns. Each row is a different color for the sweater and each column is a different color for the shoe. There are 3*2 = 6 cells inside the table. Each cell is a different outfit.

For instance, we could have R = red sweater and G = gold shoe. Then that means RG = red sweater + gold shoe outfit. So we'd have RG as one of the cells of this 6 cell table.

Now imagine that we laid out a table that is 6 by 3. The 6 is from the 6 outfits calculated earlier, and the 3 is now accounting for the colors of the skirts. We'd then have 6*3 = 18 combos total. Again, each cell inside the table represents a different outfit combo.

Answer:

97.7

Step-by-step explanation:

Answer:

Part A

Yes

Part B

He will land at a point 30 meters from Cannon

Step-by-step explanation:

Part A

The given function that represent the path of the Cannon, which is the path of a parabolic arc, is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

We note that the height, 'h', of the path of a parabola at a horizontal distance, 'x' from the origin is equal to f(x)

Therefore, given that at the ground level, at the start and end of the flight, the f(x) = 0, we can write;

-0.05·(x² - 26·x - 120) = 0

∴ x² - 26·x - 120 = 0

x = (26 ± √((-26)² - 4 × 1 × (-120)))/(2 × 1)

Which gives;

x = 30 or x = -4

Therefore, he lands at a point 30 meters from the starting point

Therefore, the function gives enough information to tell where he will land

Part B

He lands at the point, x = 30 from the point the cannon was fired.

Answer:800

Step-by-step explanation:

75% = 0.75

600/0.75 = x/1

Cross multiply:

0.75x = 600

Divide 0.75 to both sides:

x = 800

So the full does is 800mg.

Answer:

9

Step-by-step explanation:

Subtract 5 from each side and get -9x = -81.

Divide by -9.

The answer is 9.

Answer:

x=9

Step-by-step explanation:

5-9x=-76

-9x=-5-76

-9x=81  divide both sides be -9

x=9

Answer:

The graph has 2 solutions

Step-by-step explanation:

they are -5 & 3

Answer:

A and B are correct

Step-by-step explanation:

Answer:

133.75

Step-by-step explanation: