Answer:
D) radical 26
Step-by-step explanation:
So this is a question where you need to find the hypotenuse of a triangle
the sides are 1 and 5
you can use Pythagoras (a^2+b^2=c^2)
substitute the values in
1^2+5^2=c^2
simplify the exponents
1+25=c^2
add them together
26=c^2
take the square root of 26
the answer is radical 26
Answer:
See below
Step-by-step explanation:
y=-2x + 3
y = -2*3x
Both equations are lines.
Two lines will intersect at one point
I will set the two equations equal and solve for the x coordinate.
-2x+3 = -6x
Add 2x from each side
3 = -4x
Divide by -4
-3/4 = x
Now find y
y = -6x
y = -6(-3/4)
y = 18/4 = 9/2
The solution is ( -3/4, 9/2)
there are 10 numbers you want either a 4 or 7 ( 2 numbers)
so probability is 2/10 which reduces to 1/5
We have two questions, but we need to find the volume of the spherical tank first.
So the formula we will use to find the volume is:
(4/3)πr³=V
Let's fill in the information we have and solve. We will be using 3.14 for pi.
(4/3)(3.14)6³
(4/3)(3.14)(216)
4.1867×216
I'll be using the repeating decimal for 4.1867, I rounded to 7, but there is a repeating 6.
904.32
So the volume is 904.32 yards³ (or 904.78 if using the full pi)
We have to multiply the volume by 7.15.
904.32×7.15
6,465.89
It will cost $6,465.89 to fill the tank with the liquid.