10.
sam=(4,2)
theater=(-3,5)
11.
it has 4-(-3)=7 kilometers distance in x direction
and has 5-2=3 kilometers distance in y direction
12.
5-9=-4
so restaurant=(-3,-4)
13.
(5-(-4))/2=9/2=4.5
5-4.5=0.5
so seth=(-3,0.5)
Answer:
8
Step-by-step explanation:
We can start by making the table below to show the given numbers (red) and to assign a variable (x) to <em>the number we want to find: female PhDs</em>.
By subtracting the female numbers from the totals, we can find the corresponding numbers of male PhDs and non-PhDs.
The number of male non-PhDs is twice the number of male PhDs, so we have ...
2(14 -x) = 20 -x
28 -2x = 20 -x . . . . eliminate parentheses
8 = x . . . . . . . . . . . .add 2x-20
The number of female faculty with PhDs is 8.
Answer:
x can be 10 or -10
Step-by-step explanation:
1. To solve this problem you must apply the formula for calculate the area of a regular hexagon given the apothem, which is shown below:
A=(Perimeter x Apothem)/2
2. You have the apothem, so you can calculate the perimeter. First, you have to know the lenghts of the sides:
Tan(30°)=x/√3
x=1
Side=2x
Side=2
Perimeter=2x6
Perimeter=12
3. Then, you have that the area of the base is:
A=(Perimeter x Apothem)/2
A=12x√3/2
A=6√3
A=10.39
B=10.39 cm²
The answer is: B=10.39 cm²