Ask question

Ask question

All categories

3 years ago

12

A costume designer needs to make 12 costumes for the school play. Each costume requires 223 yards of fabric. How many yards of f

abric does the costume designer need to make all the costumes?

1 answer:

lawyer [7]3 years ago

3 0

Answer:

2676 yards

Step-by-step explanation:

12*223 is 2676

if each costume requires 223 yards then all you do is multiply the numbers

You might be interested in

Joe has some money in his bank account. He deposits $45. Write an expression that represents the amount of money in Joe's accoun

Vladimir79 [104]

We can say that the money in his bank account is represented by x and the total amount of money in his bank account is y. If we take the money in his account and subtract it by 45, it will equal the total amount of money in the bank account. In other words,

Y = X-45

3 0

3 years ago

Read 2 more answers

40 POINTS!!!! Which sequence of transformations will result in an image that maps onto itself?

White raven [17]

Answer:

Option C.

Step-by-step explanation:

Let a point (x, y) has a sequence of transformations,

Option A).

Reflects across x-axis then the coordinates will be,

(x, y) → (x, -y)

Then reflects across the y-axis,

(x, -y) → (-x, -y)

Image (x, y) gets changed to (-x, -y) therefore, point (x, y) doesn't map onto itself.

Option B).

(x, y) rotate 90° counter clockwise about the origin.

(x, y) → (-y, x)

Then reflect across x-axis,

(-y, x) → (y, x)

Since coordinates of the image and the actual are not same therefore, image doesn't map itself.

Option C).

(x, y) when reflected across x-axis,

(x, y) → (x, -y)

Then reflected over the x-axis,

(x, -y) → (x, y)

In this option point (x, y) maps onto itself after these transformations.

Option D).

(x, y) rotated 90°counterclockwise about the origin

(x, y) → (-y, x)

Then translated up by 2 units.

(-y, x) → (-y, x+2)

Therefore, (x, y) gets changed after these transformations and doesn't maps itself.

Option (C) will be the answer.

7 0

3 years ago

Michele wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 48 feet from the flagpole, then

yulyashka [42]

Height of the flagpole = x
distance from flagpole to the mirror = 48 ft
height of Michele = 5 ft
distance from Michele to the mirror = 12 ft

Now, set the proportion.

x/48 = 5/12
48 * x/48 = 5/12 * 48
x = 240/12
x = 20

So, the height of the flagpole is 20 ft.

HOPE THIS HELPS!!!!

5 0

3 years ago

A restaurant menu has five kinds of soups, seven kinds of main courses, six kinds of desserts, and five kinds of drinks. If a cu

ryzh [129]

Answer: 1050

Step-by-step explanation:

Number of combinations of selecting r things out of n = $^nC_r=\dfrac{n!}{r!(n-r)!}$

such that $^nC_1=n$

Given: A restaurant menu has 5 kinds of soups, 7kinds of main courses, 6 kinds of desserts, and 5 kinds of drinks.

If a customer randomly selects one item from each of these four categories, then by fundamental counting principle , the number of different outcomes are possible = $^5C_1\times \ ^7C_1\times\ ^6C_1\times\ ^5C_1 =5\times7\times6\times5=1050$

hence, total number of outcomes = 1050

3 0

3 years ago

Read 2 more answers

Which of the following illustrates a phase shift?

Natasha_Volkova [10]

<u>Answer:</u>

A. y = -2 - cos(x-π)

<u>Explanation:</u>

<u>The general form of the trig equation is:</u>

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

<u>Now, let's check the choices:</u>

<u>A. y = -2 - cos(x-π)</u>

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

<u>B. y = 3 cos(4x)</u>

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

<u>C. y = tan(2x)</u>

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

<u>D. y = 1 + sin(x)</u>

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

<u>Based on the above,</u> the correct answer is A

Hope this helps :)

3 0

3 years ago

Read 2 more answers