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Amiraneli [1.4K]
2 years ago
6

If x = 5 units, y = 6 units, and h = 6 units, find the area of the trapezoid shown above using decomposition. A. 102 square unit

s B. 30 square units C. 66 square units D. 48 square units

Mathematics
1 answer:
Kitty [74]2 years ago
3 0

Answer:

C. 66 square units

Step-by-step explanation:

The area of the middle rectangle would by base × height, or y × h, or 6 × 6.

The area is 36.

The area for one triangle would 1/2 × base × height.

(But since there are two triangles to solve for, the 1/2 is not necessary, and we can just do base × height again.)

So, it would be x × h, or 5 × 6.

The area is 30.

Combine both areas to get the whole area of 66 units²

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Vikentia [17]
The correct answer is B. cm3

This is saying "centimeters cubed", and is true because you are multiplying 3 dimensions of centimeters, width*length*height, to get the answer. Thus, you are multiplying the numbers <em>and </em>the units. 30*30*25 and cm*cm*cm
3 0
3 years ago
PLEASE!!!!!!!The adjoining figure shows two circles with the same center. The
Nookie1986 [14]
<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ area \ of \ shaded \ region \ is 264 cm^2}}}

<h3><u>Step-by-step explanation:</u></h3>

Here , two circles are given which are concentric. The radius of larger circle is 10cm and that of smaller circle is 4cm . And we need to find thelarea of shaded region.

From the figure it's clear that the area of shaded region will be the difference of areas of two circles.

Let the,

  • Radius of smaller circle be r .
  • Radius of smaller circle be r .
  • Area of shaded region be \bf Area_{shaded}

\bf \implies Area_{Shaded}= Area_{bigger}-Area_{smaller} \\\\\bf\implies Area_{Shaded} = \pi R^2 - \pi r^2  \\\\\bf\implies Area_{shaded} = \pi ( R^2-r^2)  \\\\\bf\implies Area_{shaded} = \pi [ (10cm)^2 - (4cm)^2]  \\\\\bf\implies Area_{shaded}  = \pi [ 100cm^2-16cm^2]  \\\\\bf\implies Area_{shaded}  = \pi \times 84cm^2  \\\\\bf\implies Area_{shaded}  = \dfrac{22}{7}\times 84cm^2  \\\\\bf\implies \boxed{\red{\bf Area_{shaded} = 264 cm^2 }}

<h3><u>Hence </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> the</u><u> </u><u>shaded </u><u>region</u><u> is</u><u> </u><u>2</u><u>6</u><u>4</u><u> </u><u>cm²</u><u>.</u></h3>

5 0
2 years ago
Given ABCD - WXYZ, Find the length of the segment AD, If Ab=12 WX=20 and WZ=8
hodyreva [135]

Answer:

8

Step-by-step explanation:

the length of segment AD would be 8 since segment AD and segment WZ are equal in length!

8 0
2 years ago
Test Scores Find the percentile rank for each test score in the data set. Round to the nearest whole percentile.
photoshop1234 [79]

The percentile rank for 10 will be 10th.

<h3>What is percentile rank?</h3>

The percentile rank of a particular score in statistics refers to the percentage of scores in the frequency distribution that are smaller than that score.

Percentile rank = [(Number of values below x) + 0.5]/ total number of values * 100

For 10,

Percentile rank = {[0 + 0.5]/5} x 100 = 10th

For 15,

Percentile rank = ([1 + 0.5]/5) x 100 = 30st

For 19,

Percentile rank = [2 + 0.5]/5 x  100 = 50th

For 23,

Percentile rank = [3 + 0.5]/5  x  100 = 70th

For 30,

Percentile rank = [4 + 0.5]/ 5  x 100 = 90th

The percentile rank for 10 will be 10th.

To know more about percentile range follow

brainly.com/question/24245405

#SPJ1

7 0
1 year ago
An item is regularly priced at $60 . Jessica bought it on sale for 65% off the regular price. How much did Jessica pay?
adoni [48]

First, convert the 65% to a real mathematical number. For percents, this is always done by dividing the 65% by 100%, or 65% / 100% = 0.650.

Second, find out what 65% of $60 is. This is the amount of the sale discount. This is always found by mulitplying 0.650 by the item's cost $60, like this:

0.650 x $60 = $39.00.

So for this sale, you'll save $39.00 on this item.

This means, the cost of the item to you is

<span>$60 - $39.00 = $21.00.</span>
6 0
3 years ago
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