If my math is right it should be B)
<u>Answer:</u>
297 cubic feet
<u>Step-by-step explanation:</u>
We are given that a right rectangular prism has a length of 8 ft, width of 8 1/4 ft, and height of 4 1/2 ft.
We are to find the volume of this prism.
We know the formula of volume of a rectangular prism is given by: 
where 
is the width, 
is the height and 
is the length of the prism.
So substituting the given values in the formula:
Volume of prism = 
297 cubic feet
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
Hmm, there are 5 letters
if you cannot repeat the letters
hmm, let's find how many for 4 letters
there are 4! or 4*3*2*1=24
that's how many ways there are to arrange a,b,c, d
now we can multiply it by 4 because there are 4 choices for the last place (e is not included0
24*4=56
answer is 56 different arrangements
Answer:
30⁰ , 60⁰ , 90⁰
Step-by-step explanation:
Let the angles x , 2x , 3x
By angle sum property:
x + 2x + 3x = 180⁰
6x = 180⁰
x = 30⁰
Angles are : 30⁰ , 60⁰ , 90⁰
