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3. Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 4 ft^2 and the prism stands 2.4 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 32 ft^2. (a) Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping. How much roping does he purchase? (b) Leo plans to add gold leaf to the sides of the stand but not to the two bases. What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number​

Step-by-step explanation:

-1 and 8 Below we prove the -1 and 8 multiple to -8 and add up to this -1 × 8= -8

The expression [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is an illustration of an algebraic expression

The simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4

The expression is given as:

[tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex]

Rewrite the expressions as exponents

x^1/6 * y^3/4

Multiply the expresions

x^1/6y^3/4

Hence, the simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4

Read more about expressions at:

https://brainly.com/question/723406

Answer:

Step-by-step explanation:

edge

Answer:

[B] 12°

Step-by-step explanation:

Given:

Triangle ABC is a right triangle, and m∠ C is 78°.

Solution:

Knowing that Triangle = 180 degree

Square in a right angle = 90° angle.

Thus,

78+90 =168

180-168 is 12

Hence, the answer is [B] 12 degree

Kavinsky

Answer:

the answer is

Step-by-step explanation:

B

The scale factor is 4

Answer:

Answer:

what do u need help in?

Answer:

The number is 8.

Step-by-step explanation:

Rewrite the word problem as an equation.

The sum of (we will be adding.), half of a number (we can use x, this will be written as x/2.) and double the number (this will be written as 2x) is 20.

To find the number, solve the equation.

x/2 + 2x = 20

Multiply both sides by 2.

x + 4x = 40

Combine terms.

5x = 40

Divide both sides.

x = 8.

Answer:

i think 8 is the answer

Step-by-step explanation:

i am sorry if i am worng

Answer:

b = 2

Step-by-step explanation:

Let f(x) = x² + bx + 2,

[tex]f( - 3) = 5 \\ {( - 3)}^{2} - 3b + 2 = 5 \\ 11 - 3b = 5 \\ 3b = 6 \\ b = 2[/tex]

Answer:

The answer would be four dresses.

Step-by-step explanation:

Step 1. Do 16 divided by 3.67
Step 2. Get the answer of 4.53...
Step 3. Round down because it's the number of whole dresses
Step 4. Get the answer of 4.
Hope this helps! Btw, I don't need Brainliest if the other person wants it.

Answer:

They can make 4 dresses

Step-by-step explanation:

Since it is 3.6667 yards per dress, and the amount they have is 16 yards, divide the amount they have by number of yards per dress to get slightly over 4. Since you can't make a percent of a dress, the answer would be 4.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-6 - (-4)]^2 + [8 - (-1)]^2}\implies d=\sqrt{(-6+4)^2+(8+1)^2} \\\\\\ d=\sqrt{(-2)^2 + 9^2}\implies d=\sqrt{85}[/tex]

Answer:Click on the file below

Step-by-step explanation:

Answer:

Hope it helps you......

Answer:

4028054 is the last number when we operate it....

Answer:

Please see explanation

Step-by-step explanation:

base= -3

the exponent is 5

in expanded form -3×-3×-3×-3×-3

evaluation = -3×-3×-3×-3×-3= -243

Answer:

Yes

Step-by-step explanation:

Answer:

2 hours and 37 mins

Step-by-step explanation:

you want to get to a full hour so 5:45 closes hour would be 15 minutes later which would be 6:00 and then you add 2 hours which would be 8:00 and you have 22 minutes to get 822 p.m. so you add the minutes together 15 + 22 which you'll get 37 and you'll have the 2 hours on the side so it would be 2 hours and 37 minutes

Answer:

2 gallons

Step-by-step explanation:

:/

Answer:

a.

Step-by-step explanation:

Probability that is a AB type blood given is a Male

P(AB/M)  = 42/500 = 21/250

Probability that they are Male with an AB type blood out of all AB type blood people = Probability that is a Male out of all students

P(M∩AB) = P(M)  

 (42/105) = (500/1,250)

            .4 = .4 ✅

The events "the student is male" and "the student has blood type AB" are independent events.

Answer: A

Step-by-step explanation: You're Welcome

Answer:

angles 4 and 2 are congruent

Step-by-step explanation:

the same

Answer:

nancy: $800, beverly: $1200, todd: $1600

Step-by-step explanation:

finding the portion of one part of the ratio:

3600 ÷ 9 = 400 (9 came from 2 + 3 + 4 in the ratio)

Nancy: 2 x 400 = $800

Beverly: 3 x 400 = $1200

Todd: 4 x 400 = $1600

checking the answer:

1600 + 1200 + 800 = 3600

Answer: [tex]75mm^2[/tex]

Step-by-step explanation:

The formula for the area of a paralellogram is:

bh=a

Where

b is the base (15 for this)

h is the height (5 for this)

and a is the area

Let's sub our values into the formula

[tex]bh=a\\(15)(5)=a[/tex]

Now solve

[tex](15)(5)=a\\75=a[/tex]

Answer:

dependent

Step-by-step explanation:

the probability of drawing the blue marble was changed when you drew the red marble and did not put it back

Answer:

[tex]48x^{13}\ ft^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

To find the area of the rectangle we just need to do Length * Width which will give us the area in square feet (it really depends on the units that they are giving the L and W in).

[tex](8x^6) * (6x^7)[/tex]

[tex]((8*6)(x^6*x^7))[/tex]

[tex](48*x^{6+7})[/tex]

[tex]48x^{13}[/tex]

Answer:  [tex]48x^{13}\ ft^2[/tex]

By finding the scale factor as a quotient of the two given widths, we will see that the new height is 7.7 in

We assume that the height and the width are reduced by the same scale factor.

Such that the scale factor is given by the quotient between the new width and the original width, so we have:

k = 5.4in/32.7in = 0.1651

Then the new height will be the original height times the above number, which gives:

H =  0.1651*46.5 in = 7.7 in

We conclude that the new height of the painting is 7.7 inches.

If you want to learn more about scale factors, you can read:

https://brainly.com/question/3457976

Answer:

The width of the photograph is 8 inches

Step-by-step explanation:

hopefully im right