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Sav [38]
2 years ago
15

A regular hexagon has an area of 750.8cm². The side length is 17cm. Find the apothem.

Mathematics
1 answer:
larisa86 [58]2 years ago
4 0
The formula for determining the apothem of regular hexagon is s/2tan(180/n) , where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.
So, apothem = 17/2tan(180/n)
= 17/2tan(30)
= 17/1.15
= 14.78 units
Therefore, the measure of apothem of the regular hexagon is 14.7 units.
B is the right answer.
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Does the point (1, –9) satisfy the equation y = 3x − 6?
Tju [1.3M]

Answer:

No.

Step-by-step explanation:

Well, is the points (1, -9) does satisfy the equation y = 3x - 6. Then, substituting the values of x, and, y, into the equation y = 3x - 6,  we should get a true equation.

y = 3x - 6

-9 = 3 * 1 - 6

-9 = 3 - 6

-9 = -3.

So, the points (1, -9) does not satisfy the equation y = 3x - 6.

8 0
2 years ago
A China shop receives a shipment of 125 dishes in 5 boxes at this rate how many dishes were a receive it 15 boxes
Whitepunk [10]

15 boxes is three times 5 boxes so the number of dishes in 15 boxes is

3 * 125

= 375 dishes

3 0
3 years ago
What is the explicit rule for this sequence?<br> -5, 15, – 45, 135, ...
hoa [83]

Answer:

Step-by-step explanation:

In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

an = a1r^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the given sequence,

a1 = - 5

r = 15/- 5 = - 3

Therefore, the explicit rule for this sequence is

an = - 5(- 3)^n - 1

4 0
3 years ago
For each of these triples, find if they could be the lengths of the sides of a right triangle.
frutty [35]
A is the correct answer
7 0
3 years ago
Solve for x: 2x + 13 = 8x - 41
kherson [118]

Answer:

9 is your answer for x.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operations, & =

Parenthesis

Exponent (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 13 & 8x from both sides:

2x (-8x) + 13 (-13) = 8x (-8x) - 41 (-13)

2x - 8x = -41 - 13

Simplify. Combine like terms:

-6x = -54

Isolate the variable, x. Divide -6 from both sides:

(-6x)/-6 = (-54)/-6

x = (-54)/(-6)

x = 9

x = 9 is your answer.

~

8 0
3 years ago
Read 2 more answers
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