A regular hexagon is composed of 6 regular triangles whose area is equal to half of the product of the apothem and side.
A - triangle = (1/2)(a)(s) = (1/2)(1.7 cm)(2 cm) = 1.7 cm²
Multiplying this area by 6 to get the area of the hexagon gives as the answer which is 10.2 cm². Therefore, the answer is letter D.
Answer:
430.5
Step-by-step explanation:
1. We assume, that the number 525 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 525 is 100%, so we can write it down as 525=100%.
4. We know, that x is 82% of the output value, so we can write it down as x=82%.
5. Now we have two simple equations:
1) 525=100%
2) x=82%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
525/x=100%/82%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 82% of 525
525/x=100/82
(525/x)*x=(100/82)*x - we multiply both sides of the equation by x
525=1.219512195122*x - we divide both sides of the equation by (1.219512195122) to get x
525/1.219512195122=x
430.5=x
x=430.5
now we have:
82% of 525=430.5
We need 500 ml of alcohol mixture and 50 ml of water.
<u>Step-by-step explanation:</u>
The 50% concentration of the final solution is a result of mixing the 55% concentration with water, which is 0% concentration. Multiply the concentration of each liquid times the # of ml you will use, add these and divide by the total ml to get 50%
x = the number of ml of the 55% alcohol mixture
y = the number of ml of water
x + y = 550
Again, the 0 above represents the water which is 0% concentration
= 0.50
0.55 x = 275
x =
= 500
plug 500 into the equation x + y = 550
500 + y = 550
y = 50
Use 500 ml of the 55% solution and 50 ml of water.
Answer:
2, 3, 4
Step-by-step explanation:
Since the question is asking which of the following are functions, lets define what it is first
Function: An equation for one answer for y for every x
This means that every x coordinate can have a y, but multiple x coordinates can have the same y coordinate
Because of this it has to be every one of them except the first one