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Ket [755]
2 years ago
5

Find the area of a regular hexagon with an apothem 8.7 centimeters long and a side 10 centimeters long. Round your answer to the

nearest tenth.
Mathematics
2 answers:
natulia [17]2 years ago
5 0

Answer:

261 cm²

Step-by-step explanation:

The area of the hexagon is 6 times the area of one of the triangles. The area of a triangle is base × height ÷ 2.

A = 6(8.7)10 ÷ 2

A = 261 cm²

ludmilkaskok [199]2 years ago
4 0

Answer:

Step-by-step explanation:

A regular hexagon is made up of six triangles having a height of 8.7cm and a base of 10cm. So the area of the hexagon is 6 times the area of one of the triangles. Since the area of a triangle is bh/2 we have

A=6(8.7)10/2

A=261cm^2

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The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?
Lilit [14]

Answer:

A

Step-by-step explanation:

if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}

center is (2,-4)

r=√(2²+(-4)²-(-14))

=√(4+16+14)

=√(34)

eq. of circle is (x-2)²+(y+4)²=34

or

(x²-4x)+(y²+8y)=14

(x²-4x+4)+(y²+8y+16)=14+4+16

(x-2)²+(y+4)²=34

4 0
3 years ago
Which choice correctly compares the two numbers?
notka56 [123]

Answer:

A) 20.82 > 20.55

Step-by-step explanation:

Hopefully, your issue is with the symbols (< vs >) rather than actually determining which number is larger or smaller.

The wide-open end of the symbol (the left side, in the case of >) indicates the larger (more positive) number.

So, the meanings of the symbols are ...

> — "is greater than"

< — "is less than"

The only true statement of those listed is ...

20.82 is greater than 20.55, or 20.82 > 20.55 . . . . selection A

_____

When writing number comparisons, I like to use the < symbol, because it puts the numbers in number-line order. That is, the smaller (or more negative) number is on the left, just as it is on a number line.

You trade the places of the numbers when changing the symbol. For example, answer choice A could be rewritten as ...

20.55 < 20.82

You know that 20.55 is to the left of 20.82 on the number line, so you know this statement is true.

3 0
2 years ago
A local hamburger shop sold a combined total of 483 hamburgers and cheeseburgers on Thursday. There were 67 fewer cheeseburgers
dusya [7]

Answer:

416, I believe this is the answer.

Step-by-step explanation:

483 - 67 = 416

5 0
2 years ago
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PLEASEEEEEEEEEEEEEEEEEEEEEE Edgar rolls two six-sided number cubes. What is the probability that he rolls a 2 on
elena55 [62]

The probability that Edgar rolls a 2 on the first cube and a number less than 5 on the second cube is 1/9. Thus, the correct option is C.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring.

\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

There are a total of 36 outputs possible, while the number of desired outputs marked in the blue box is 4, therefore, the probability is,

Probability = 4/36 = 1/9

Hence, the probability that Edgar rolls a 2 on the first cube and a number less than 5 on the second cube is 1/9. Thus, the correct option is C.

Learn more about Probability:

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8 0
2 years ago
True or False: The difference of two consecutive square numbers is an odd number.
KATRIN_1 [288]
The answer for this question would be true
4 0
3 years ago
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