Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to
where
B is the area of the base
H is the height of the pyramid
we have
substitute and solve for B
step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to
we have
substitute
therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct
Answer:
<h2>
A. ¹²/₅</h2>
Step-by-step explanation:
There is no solution for system of equations:
if:
so first, we we need to transform the equations to the form where the coefficients at y will be the same:
Now we have b₁=b₂ and c₁≠c₂ so the system has no solution if a₁=a₂
5k = 12
÷5 ÷5
k = ¹²/₅
Answer:
37°
Step-by-step explanation:
sum of exterior angles of a polygon is 360°
so, 41+(x+13)+(2x-14)+(3x-22)+(x-3)+38+(x+11)=360
8x+64=360, subtract 64 from both sides
8x=296
x=37°
Answer:
you get a pair of red socks. There are 10 socks in the drawer, and 2 are red. Therefore the probability that the first one will be red is 2/10 = 1/5.
Step-by-step explanation:
Here's the way to go:
<span>25 Euros $1.20
------------- * --------------- = number of American dollars equal to 25 Euros.
1 1 Euro
Cancel "Euro" in the 2 places where it occurs. The numeric outcome will be $30.</span>