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3 years ago

Find the area of the regular hexagon if the apothem is 8 squared root 3 m and a side is 16 m. Round to the nearest whole number.

Mathematics

1 answer:

Mars2501 [29]3 years ago

6 0

Perimeter = 16 * 6
Area = (1/2)(perimeter)(apothem)
Area = (1/2) (16 * 6)(8\/3)
Area = 665.1

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A population of rabbits in a lab, p(x), can be modeled by the function p(x) = 20(1.014)x , where x represents the number of days

Nitella [24]

Answer:

20 = initial population of the rabbits

1.014 = growth rate of the rabbits

the average rate of change from day 50 to day 100 is 0.8

Step-by-step explanation:

A population of rabbits in a lab, p(x), can be modeled by the function

p(x) = 20(1.014)^x

This model is exponential. Where 20 = initial population of the rabbits

1.014 = growth rate of the rabbits with 1.4% increase rate of the rabbits

To find the average rate of change from day 50 to day 100,

find the population p(50) and p(100). Subtract them and divide by 100 - 50 = 50.

p(50) = 20(1.014)50 = 40.08...

p(100) = 20(1.014)100 = 80.32...

(80.32 - 40.08) / (100 - 50) = 40.24/50 = 0.8048. which is approximately 0.8 to the nearest tenth.

The rate of change is 0.8.

7 0

3 years ago

Table of values 3x+2y=24

Mekhanik [1.2K]

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Slope:
−
3
2
-
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2
Y-Intercept:
12
12
Graph a dashed line, then shade the area above the boundary line since
y
y
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−
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4 0

2 years ago

1 root 12 times 1 root 2

rodikova [14]

Answer:

$2\sqrt{6}$

Step-by-step explanation:

$1\sqrt{12} * 1\sqrt{2}$

$\sqrt{12} * \sqrt{2} = \sqrt{24}$

$\sqrt{24} = \sqrt{2^2 * 6} = 2\sqrt{6}$

Answer: $2\sqrt{6}$

7 0

3 years ago

Factor completely x2 + 20x − 36. (1 point)

Serggg [28]

Consider the form x^2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 36 and whose sum is 20.

2, 18

Write the factored form using these integers.

(x+2)(x+18)

4 0

2 years ago

The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.

Leno4ka [110]

Answer:

Perimeter, P = 112 meters

Step-by-step explanation:

Let the length of the rectangle be L.
Let the width of the rectangle be W.

Translating the word problem into an algebraic expression, we have;

L = 6W ...... equation 1

<u>Given the following data;</u>

Area of rectangle = 384 m²

To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

W² = 64

Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

Next, we would find the length;

L = 6W

L = 6 * 8

Length, L = 48 meters

Lastly, we would determine the perimeter of the rectangle using the above dimensions;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

Perimeter, P = 2(56)

<em>Perimeter, P = 112 meters</em>

4 0

3 years ago