Answer:
V ≈ 68.63 cm³
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = 
πr³
the volume of a hemisphere is half the volume of a sphere, so
V = 
× πr³ = 
πr³ , then
V = π × 3.2³
= π × 32.768
≈ 68.63 cm³ ( to 2 dec. places )
Step-by-step explanation:
(1) Factor the GCF out of the trinomial on the left side of the equation. (2 points: 1 for the GCF, 1 for the trinomial) 2x²+6x-20=0
2x²+6x-20
2(x²+3x-10)
the factors are 2 and (x²+3x-10)
(2) Factor the polynomial completely. (4 points: 2 point for each factor)
2(x²+3x-10)
2(x²-2x+5x-10)
2(x(x-2) + 5(x-2)) group like terms
2(x+5)(x-2)
(3) If a product is equal to zero, we know at least one of the factors must be zero. And the constant factor cannot be zero. So set each binomial factor equal to 0 and solve for x, the width of your project. (2 points: 1 point for each factor)
constant = 2 cannot be zero
the other factors are (x+5) and (x-2)
(x+5)=0 => x= -5
or
(x-2)=0 => x=2
(4) What are the dimensions of your project? Remember that the width of your project is represented by x. (2 points: 1 point for each dimension)
thank you so much, sorry if it's a little confusing!!
(it is indeed confusing, because physical dimensions cannot be negative)
The dimensions of the project (assumed a rectangle) are +2 and -5
Step-by-step explanation:
given x=2
and the equation
to find the value of q , you need to make q the subject in the equation as shown below
q= 3x-x -4
q=2x-4
but x= 2
so just substitute the value of x in the equation for the q
q=4-4
q=0
therefore the value of q is 0
Answer:
1.25 ft long
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
4x5=20
4x2=8
20+28=28
