A sandbox is shaped like a regular hexagon. The side lengths are 3 ft and the apothem 3√3 ft.

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

6 0

Answer:

46.77ft^2

Step-by-step explanation:

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On a hot summers day 262 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults. The r

ololo11 [35]

<h3>Answer:</h3>

154 adults
108 children

<h3>Step-by-step explanation:</h3>

Let x represent the number of adults who swam at the pool. Then (262-x) is the number of children. Multiplying these numbers by the corresponding admission charge will give the associated receipts. We are given the total of receipts, so we can write the equation ...

... 2.00x +1.50(262-x) = 470.00

... 0.50x +393.00 = 470.00 . . . . . simplify

... 0.50x = 77.00 . . . . . . . . . . . . . . .subtract 393

... 77.00/0.50 = x = 154 . . . . . . . . . divide by the coefficient of x

... (262-x) = 108 . . . . . . . . . . . . . . . .find the number of children admitted

8 0

4 years ago

A researcher surveyed 80 adults and found that 22 regularly run for exercise and 18 regularly swim for exercise.

Aliun [14]

Whenever the questions asks for the probability and has "or" you have to add the two probabilities. In the same way, "and" implies multiplication. Therefore, the probability that someone swims is:
$\frac{18}{80} = \frac{9}{40}$

Probability that someone runs:
$\frac{22}{80} = \frac{11}{40}$

Thus, if you add them:
$\frac{9}{40} + \frac{11}{40} = \frac{20}{40} = \frac{1}{2}$

So, the probability that someone swims <em>or</em> runs is 1/2 or 50%.

6 0

3 years ago

What is the volume of the following rectangular prism?

Liula [17]

Answer:

14 2/3 units^3

hope this helps

have a good day :)

Step-by-step explanation:

7 1/3 x 2=14 2/3

8 0

3 years ago

Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown. What is the smallest poss

julia-pushkina [17]

Answer:

17 inches

Step-by-step explanation:

An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.

Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.

Now we know that for an obtuse triangle,

$c^2 > a^2 +b^2$