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Kruka [31]
4 years ago
14

What is the area of a regular heptagon that has 4 inch sides and an apothem of 4.2 inches?

Mathematics
1 answer:
Lelu [443]4 years ago
8 0
A = (1/2) * apothem * pperimeter
A = (1/2) * 4.2 * (4 * 7)
A = 58.8 inches
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The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other l
Verdich [7]

Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

4 0
3 years ago
PLEASE HELP ITS DUE IN A FEW MINS
ioda
The correct answer is 6,8
6 0
3 years ago
FOR MANY POINTSish
dangina [55]

x will represent the first unknow number

6x will represent the second number

the two numbers together will equal 21

6x + x = 21  combine like terms

7x =21  divide both sides by 7

x =3


Hope that helps.

brainliest is always appreciated.

4 0
4 years ago
Which expression is equivalent to -4 - 9?<br> A. 4 + 9<br> B. 4 - 9<br> C. -4 + (-9)<br> D. -4 + 9
musickatia [10]
Answer: C. -4 + (-9)
8 0
3 years ago
Read 2 more answers
Carmine buys 2 plates for $4 each. He also buys 12 bowls. Each bowl costs twice as much as each plate. The store is having a sal
Tasya [4]

Answer

2p+12b=12

Step-by step explanation

I used p for plates and b for bowls\

2p+12b=4+(4*2)

2p+12b=12

4 0
3 years ago
Read 2 more answers
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