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3 years ago

What is the area of a regular hexagon with a side length of 5in and an apothem of 4.33in?

Mathematics

1 answer:

BartSMP [9]3 years ago

4 0

Answer:

64.95

Hope this helps :-)

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Pleas help me find the answer and show the work to this question

lions [1.4K]

Answer:

$Leg\ 1 = 8$

$Leg\ 2 = 15$

Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

$Hyp^2 = Adj^2 + Opp^2$

In this case:

$17^2 = x^2 + (2x- 1)^2$

Open Bracket

$17^2 = x^2 + 4x^2- 2x-2x + 1$

$17^2 = 5x^2 - 4x + 1$

$289= 5x^2 - 4x + 1$

Collect Like Terms

$5x^2 - 4x + 1 - 289 = 0$

$5x^2 - 4x - 288 = 0$

Solving using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

So:

$x = 8$ or $x = -7.2$

Since, x can't be negative, then:

$x = 8$

One of the leg is:

$Leg\ 1 = x$

$Leg\ 1 = 8$

$Leg\ 2 = 2x - 1$

$Leg\ 2 = 2*8 - 1$

$Leg\ 2 = 16 - 1$

$Leg\ 2 = 15$

6 0

3 years ago

Ismael has a set of 5 solar panels and Ben has a set of 6 smaller solar panels. Each set of panels produce the same amount of en

eimsori [14]

9514 1404 393

Answer:

Ben's

Step-by-step explanation:

If E is the amount of energy that each full set of panels produces, then ...

3 of Ismael's 5 panels produce 3/5E

4 of Ben's 6 panels produce 4/6E

We can compare these fractions when they have a common denominator.

3/5E = 18/30E . . . . energy from Ismael's panels

4/6E = 20/30E . . . energy from Ben's panels

18/30 < 20/30 . . . . so Ben's panels are producing more energy

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3 years ago

What is the area of the triangle in square yards?

True [87]

Answer:

DON'T LOOK AT THE PICTURE!!

Step-by-step explanation:

3 0

3 years ago

Analyze a graph In Exercise,analyze and sketch the graph of the function.Label any relative extrema, points of inflation,and asy

ZanzabumX [31]

Answer:

Step-by-step explanation:

Given is a function f(x)

$f(x) = e^x -e^{-\frac{{x}}{2}$

We have to analyse and sketch the graph

X intercept : Put y =0, we get x=0

Y intercept: Put x =0 , we get y =0

No exception for x or y and hence set of all real numbers is domain and range.

$f'(x) = (e^x +1/2 e^{-\frac{{x}}{2})$

f' becomes 0 not at finite points

So relative extreme

Graph is sketched and attached

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3 years ago

32 + 4 (2 + 4) X 6 = 8 + 4 =

Svetradugi [14.3K]

Answer:

176=12

Step-by-step explanation:

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2 years ago