Answer:
1. b=39.497
2. c=3.606
3. a=18.974
Step-by-step explanation:
1.
41^2-11^2=b^2
1681-121=b^2
b^=1560
b=39.497
2.
2^2+3^2=c^2
4+9=c^2
c^2=13
c=3.606
3.
21^2-9^9=a^2
441-81=a^2
a^2=360
a=18.974
7x³ = 28x is our equation. We want its solutions.
When you have x and different powers, set the whole thing equal to zero.
7x³ = 28x
7x³ - 28x = 0
Now notice there's a common x in both terms. Let's factor it out.
x (7x² - 28) = 0
As 7 is a factor of 7 and 28, it too can be factored out.
x (7) (x² - 4) = 0
We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.
x (7) (x - 2) (x + 2) = 0
Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.
x = 0 -----> so x = 0
7 = 0 -----> no solution
x - 2 = 0 ----> so x = 2 after adding 2 to both sides
x + 2 = 0 ---> so = x - 2 after subtracting 2 to both sides
Thus the solutions are x = 0, x = 2, x = -2.
Each face has a chance of 1/6
So you beed 6 rolls
Answer:
Step 1: Simplify both sides of the equation.
6(3x−5)−7x=25
(6)(3x)+(6)(−5)+−7x=25(Distribute)
18x+−30+−7x=25
(18x+−7x)+(−30)=25(Combine Like Terms)
11x+−30=25
11x−30=25
Step 2: Add 30 to both sides.
11x−30+30=25+30
11x=55
Step 3: Divide both sides by 11.
x=5
Step-by-step explanation:
Answer:
36 in³
Step-by-step explanation:
Volume of cylinder = pi×r²×h
Volume of cone = ⅓×pi×r²×h
For same r and h,
Volume of cone is ⅓ of the Volume of cylinder
⅓ × 108 = 36
