Answer: 4.4
Step-by-step explanation:
The formula for calculating the area of regular hexagon is given as :
Area =
Where a is the length of a side.
Substituting the value given , we have :
50 =
50 x 2 =
100 =
Divide through by
=
= 19.24500897
Take the square root of both sides :
a =
a = 4.3869
To the nearest tenth
a = 4.4
We are asked to find a range for x. Let's start by finding the maximum value. We know, by definition, that a side opposite a larger angle has a longer length. For example, if you think about a right triangle, the hypotenuse (the longest side) is always opposite of the right angle (the largest angle). We are given two side lengths: 23 is opposite of 42 degrees, and 21 is opposite of 3x + 15. Because 42 is opposite the longer side, 42 degrees is a larger angle than 3x + 15. We can set up the inequality and solve for x:
Now, let's look at the minimum value. We know that the angle definitely has to be larger than 0. So, we can set up that inequality and solve for x:
Now, we have our final range: -5 < x < 9
For this case we have:
Let p be the highest price of the TV that Meg can buy
We have to:
5% of p is given by:
So, we have:
Clearing p we have:
Thus, the highest price of the television that Meg purchases should be dollars.
Answer:
Answer:
Step-by-step explanation:
The volume of the prism is 3 cube units, which means that the prism can be filled with 3 .
Here, there are 64 cubes with 1/4 units side lengths in 1 cubic unit.
Since the rectangular prism is made up of 3 cubic units, we would have
3 * 64 total cubes with 1/4 units side lengths.
Therefore, it takes 192 of the 1/4 unit cubes to fill the prism.
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