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Lapatulllka [165]
3 years ago
14

Find the area of a regular hexagon with a 48 inch perimeter

Mathematics
1 answer:
Vikki [24]3 years ago
8 0

If the hexagon's perimeter is 48 inches, then 48/6 means that every side measures 8 inches. 

The formula for the area of a hexagon is A = (3√3)/2 * a^2

a was found to be 8 inches, so when you plug it in, the area of the hexagon is 166.28 square inches.

The answer is 96√3.

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Find the first, fourth, and eighth terms of the sequence.<br><br> A(n) = −2 ∙ 2x − 1
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A(n)=-2\cdot2^{n-1}\\\\\text{Find the first, fourth, and eighth terms}\\\text{It means}\ A(1),\ A(4)\ \text{and}\ A(8).\\\\\text{Substitute}\ n=1,\ n=4\ \text{and}\ n=8\ \text{in}\ A(n):\\\\A(1)=-2\cdot2^{1-1}=-2\cdot2^0=-2\cdot1=-2\\\\A(4)=-2\cdot2^{4-1}=-2\cdot2^3=-2\cdot8=-16\\\\A(8)=-2\cdot2^{8-1}=-2\cdot2^7=-2\cdot128=-256\\\\\boxed{Answer:\ -2,\ -16,\ -256}

5 0
3 years ago
1.
vodka [1.7K]

9514 1404 393

Answer:

  C.  The zeros are -1 and 5/2, because f(x) = (x + 1)(2x-5).

Step-by-step explanation:

The zeros of the function are the values that make the factors zero. The factors need to multiply out to give the original standard-form equation.

The sign of the constant (-5) tells you the product of the constants in the factors must be -5. That is only true for choices B and C.

Additionally, the x-term needs to match the result of multiplying out the factors.

  B.  (x -1)(2x +5) = 2x^2 +3x -5 . . . . . . . . . wrong x-term (not -3x)

  C.  (x +1)(2x -5) = 2x^2 -3x -5 . . . . . . . . . matches the given f(x)

The factors of C are zero when x=-1, x=5/2.

8 0
2 years ago
A bank offers a money market account paying 8.7​% interest compounded annually. A competing bank offers a money market account p
stich3 [128]
The answer is 8.5% interest compounded daily.

EXPLANATION

Regardless of your rate, the more often interest is paid, the more beneficial the effects of compound interest.

A daily interest account, which has 360 compounding periods a year, in this case, will generate more money than an account with an annual compounding, which has one compounding period per year.
5 0
3 years ago
Simplify the following expression : (2x + 7y) (x – 3y) – (9x + 4) (3x - 2)
Dmitriy789 [7]
-25x^2+xy-21y^2+6x+8
8 0
3 years ago
2 people have calculators, one person starts at 100 and subtracts 7 each time. Another starts at zero and adds 3 each time. If t
zaharov [31]

Answer:

  Yes, after 10 key presses, both will arrive at the number 30.

Step-by-step explanation:

The difference between the numbers on the calculators is reduced by 10 with each key press. After 10 key presses, the initial difference of 100 will be zero. After 10 key presses of (-7), the calculator starting at 100 will be ...

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After 10 key presses of (+3), the calculator starting at 0 will be ...

  0 +10(+3) = 30

Both calculators will show 30 after 10 key presses.

3 0
2 years ago
Read 2 more answers
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