Answer:
B
Step-by-step explanation:
The volume of a rectangular prism is the length times width times height.
V = LWH
V = (4√3)(3√6)W
V = 12√18 W
V = 36√2 W
If the volume is irrational, then W cannot have a radical that is half of a perfect square, because when multiplied by √2, that would yield a rational volume. For example, √18 × √2 = √36 = 6.
Therefore, the answer must be B, because 12 is not half of a perfect square.
V = 36√2 (4√12)
V = 144√24
V = 288√6
Exact form: -55/18
Decimal form: -3.05 repeating
Mixed form: -3 1/18
Answer:
The answer is 5 1/16
Step-by-step explanation:
3/2 x 3/2 x 3/2 x 3/2
3/2 x 3/2 = 9/4
9/4 x 3/2 = 27/8
27/6 x 3/2 =81/16
Turn 81/16 into a mixed fraction and it’s 5 1/16
Therefore, the answer is 5 1/16
Polar form: (r,θ)
Using these formulas:
x²+y²=r²
tan(θ)=y/x
We have the point (1,1) in cartesian coordinates. We need to find r and θ to get it in polar form.
r²=1²+1²
r²=2
r=±√2
tan(θ)=1/1
tan(θ)=1
θ=π/4 radians or 45 degrees
Polar coordinates: (√2,π/4)
Those answer choices look strange. Are you sure these are the right answer choices?
Answer:
$108.19
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3.6%/100 = 0.036 per year.
Solving our equation:
P = 119.88 / ( 1 + (0.036 × 3)) = 108.19494584838
P = $108.19
The principal investment required to get a total amount, principal plus interest, of $119.88 from simple interest at a rate of 3.6% per year for 3 years is $108.19.
Hope this helps!
