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sdas [7]
2 years ago
10

A regular octagon has an apothem of 16.9 cm and a side length of 14 cm. Find the area to the nearest tenth.

Mathematics
1 answer:
jolli1 [7]2 years ago
8 0

Answer:

946.4 cm

Step-by-step explanation:

Formula for finding the area of any polygon :

number of sides (n) x 0.5 x length of sides (s) x apothem (a)

Area = 8 x 0.5 x 14 x 16.9 = 946.4

hope this helps ! :)

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The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes. The hose at his next-door neighbor's house can fill a
mina [271]

Answer:

The time it would take them to fill 750 gallons

= 200 minutes or 3 hours 20 minutes

Step-by-step explanation:

Step 1 :

We calculate the rate at which the hoses fill for Andre and His neighbor

For Andre

The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes.

The rate is calculated as:

5 gallon/2 minutes

= 2.5 gallons/minute

For His neighbor

The hose at his next-door neighbor's house can fill a 10-gallon bucket in 8

minutes.

= 10 gallon/8 minutes

= 1.25 gallon/minute

Step 2

Hence:

If they use both their garden hoses at the same time, and the hoses continue working at the same rate, the sum of their rate =

2.5 + 1.25 = 3.75 gallons per minute.

Step 3

The time it would take them to fill 750 gallons =

750 gallons ÷ 3.75 gallons per minute

= 200 minutes

= 3 hours 20 minutes

6 0
3 years ago
Find the area of the trapezoidal prism?
Olenka [21]

Answer: The formula is (b1 + b2)h+PH

Step-by-step explanation:

4 0
3 years ago
Please please help me with the answer I can't do this by myself
Ne4ueva [31]

She bought 8 bags of candy since 10 multiplied by eight is 80 and 8 is two less than ten.(ten candies in each bag)

5 0
3 years ago
A rectangular swimming pool has a width of xyd. The length of the pool
Alla [95]

Answer:

hope it helps you see the attachment for further information

4 0
3 years ago
Can someone help please
myrzilka [38]
<h3>Answer:   15x^(7/3) - 8x^(7/4) + x + 9000</h3>

=========================================================

Explanation:

If you know the cost function C(x), to find the marginal cost, we apply the derivative.

Marginal cost = derivative of cost function

Marginal cost = C ' (x)

Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.

\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\

C(x) = \frac{1}{1+4/3}*35x^{4/3+1} - \frac{1}{1+3/4}*14x^{3/4+1} + x + D\\\\C(x) = \frac{1}{7/3}*35x^{7/3} - \frac{1}{7/4}*14x^{7/4} + x + D\\\\C(x) = \frac{3}{7}*35x^{7/3} - \frac{4}{7}*14x^{7/4} + x + D\\\\C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\

D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).

To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.

Therefore, we go from this

C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\

to this

C(x) = 15x^{7/3} - 8x^{7/4} + x + 9000\\\\

which is the final answer.

3 0
2 years ago
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