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ArbitrLikvidat [17]
2 years ago
10

Can someone help with this problem please.

Mathematics
1 answer:
Solnce55 [7]2 years ago
3 0

The area of the shaded triangle formed as the result of the overlap is = 62.35 inches ²

<h3>Calculation of the equilateral triangle</h3>

After folding the rectangle with length of 12 inches and width of 18 inches, an equilateral triangle was formed.

An equilateral triangle is a type of triangle where by all the three sides are equal.

To determine the value of one of the sides, CB or CD is used because the folding didn't affect these sides.

Using the formula for the area of an equilateral triangle,

A = √¾ a²

a= 12 inches

A = √¾ ×12²

A = 62.35 inches ²

Learn more about triangle here:

brainly.com/question/1058720

#SPJ1

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In the Itty Bitty High School, there are 85 students. There are 27 students who take French, 51 who take Geometry and 38 who tak
andrew-mc [135]

Answer:

58 students

Step-by-step explanation:

Given

Total = 85

French = 27

Geometry = 51

History = 38

None = 5

All = 2

Required

Students that take only 1 subjects

The attached image illustrates the question.

For French only (x), we have:

x + 7 -2+10-2+2=27

x + 15=27

Collect like terms

x =- 15+27

x =12

For Geometry only (y), we have:

y+10-2+15-2+2=51

y+23=51

Collect like terms

y=-23+51

y=28

For History only (z), we have:

z +15-2+7-2+2=38

z +20=38

Collect like terms

z =-20+38

z =18

Students with one subject is then calculated as:

1\ subject = x+y+z

1\ subject = 12 + 28 + 18

1\ subject = 58

5 0
3 years ago
Use the distance formula distance, to find the distance to the nearest tenth , between each pair of points A(6,2) and D(-3,-2)
marusya05 [52]

Answer:

The distance between A and D to the nearest tenth is;

9.8\text{ units}

Explanation:

Given the two points;

A(6,2)\text{ and D(-3,-2)}

Applying the distance between two points formula;

d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

substituting the given coordinates we have;

\begin{gathered} AD=\sqrt[]{(-3-6)^2+(-2-2)^2} \\ AD=\sqrt[]{(-9)^2+(-4)^2} \\ AD=\sqrt[]{81+16} \\ AD=\sqrt[]{97} \end{gathered}

Simplifying;

\begin{gathered} AD=9.8488578 \\ AD\approx9.8 \end{gathered}

Therefore, the distance between A and D to the nearest tenth is;

9.8\text{ units}

4 0
1 year ago
Arnold ran 50 feet. Which equation can be used to determine c Arnold’s total distance in cm if 1 inch is equal to 2.54 centimete
bagirrra123 [75]

Answer:

1,524 centimeters

Step-by-step explanation:

Multiply 50 by 12.   50 * 12 = 600 inches

Multiply 600 by 2.54 to get the number of centimeters.   600 * 2.54 = 1,524

6 0
3 years ago
You will need 50% of a packet of pasta to make a meal for 4 people. How
skelet666 [1.2K]

you would use 1.5 packets, but that requires 2 packets.

1 packet in total would feed 8 people, and half of another would feed an extra 4. 4+8 = 12.

7 0
3 years ago
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The sum of the measures of the interior angles of a convex pentagon
ipn [44]

Answer:

for any pentagon the interior angles add up to n-2 times 180 degrees.

n-2

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