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harkovskaia [24]
2 years ago
6

Khalil is wrapping a cylindrical candle for a gift. The candle is 10 inches tall and has a diameter of 1.5 inches. How many squa

re inches of wrapping paper will Khalil need to cover the candle? Use 3.14 for pi.
Mathematics
1 answer:
Alex17521 [72]2 years ago
5 0
The surface area of a cylinder is given as

A = 2 \pi rh + 2 \pi r^2

r (radius)= 0.75 since radius is half of the diameter
h (height) = 10

So:
A = 2 \pi rh + 2 \pi r^2

A = 2 (3.14)(0.75)(10) + 2 (3.14)(0.75)^2

A = 47.1 + 3.5325

A = 50.6325 = 50.63in^2


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choli [55]

Answer:

<h2>A rotation -90° around point I.</h2><h2>A translation upwards 2 units.</h2><h2>Step-by-step explanation:</h2>

The given figures are attached.

We have to find two transformations that help to show that both polygon are congruent.

First transformation would be a rotation -90° around point I.

Second transformation would be a translation upwards 2 units.

Applying these transformation, we would have both polygons at the same position, that will show the congruence between them.

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2 years ago
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0.2x + 0.3y = 1.3.<br>0.4r + 0.5y = 2.3. solve by using substitution ​
Alexxandr [17]

Answer:

x=2, y=3.

Step-by-step explanation:

0.2x + 0.3y = 1.3

0.4x + 0.5y = 2.3

From the first equation   y = (1.3 - 0.2x) / 0.3

Substituting in second equation:

0.4x + 0.5(1.3 - 0.2x) / 0.3 = 2.3

Multiply through by 0.3:

0.12x + 0.5(1.3 - 0.2x) =  0.69

0.12x + 0.65 - 0.1x = 0.69

0.02x = 0.04

x = 2.

Substituting for x in equation 1:

0.2* 2 + 0.3y = 1.3

0.4 + 0.3y = 1.3

0.3y = 1.3 - 0.4 = 0.9

y = 3.

Check in equation 2:

0.4 * 2 + 0.5(3) =   0.8 + 1.5 = 2.3.

- Correct.

4 0
2 years ago
there are two identical fridges for desserts. one of the fridge has 5/8 of its room left and the other fridge is only 1/8 full.
ELEN [110]

Answer:

1.5

Step-by-step explanation:

5/8 + 7/8= 1.5 or 1  1/2

6 0
2 years ago
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In the figure, polygon ABCD is dilated by a factor of 2 to produce A′B′C′D′ with the origin as the center of dilation. Point A′
emmasim [6.3K]

You did not attach any picture to solve this problem. We cannot calculate for the value of A’ and D’ without the correct graph. However, I think I found the correct graph (see attached), please attach it next time.

So we are given that the figure is dilated by a factor of, meaning that all of its end points are multiplied by 2. By this rule, all we have to do is to simply multiply the initial coordinates of A and D by 2 to get A’ and D’, that is:

A’ = (-1 * 2, -1 * 2) = (-2, -2)

<span>D’ = (2 * 2, -1 * 2) = (4, -2)</span>

3 0
2 years ago
Fatima saved $15,000 toward a down payment on a house. She makes $5,375 a month. What is the maximum loan she can take on a hous
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We will use \frac{28}{36} ratio to determine how much can Fatima afford as a loan for her house.

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(B) 28 % of $ 5375=

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Maximum amount that Fatima spend on her house monthly= $ 1505

Amount that fatima can spend yearly on her house = 1505× 12 =$18,060

For the four options given , none of the option matches Fatima's expectations.

7 0
2 years ago
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