Answer:
A. x=3
Step-by-step explanation:
Solve for x:
4x+10+3x=40-3x
7x+10=40-3x
+3x +3x
10x+10=40
-10 -10
10x=30
/10 /10
x=3
The radius r used in below equations would equal 2in because it is half the given diameter of 4in.
The volume of the cone would be
The volume of a cylinder with the same dimensions would be
The cylinder is 24 - 8 = 16 cubic inches greater.
Answer:
Volume = 175 cm³
Step-by-step explanation:
We can picture this image as a whole rectangular prism, with a part that has been cut out of it.
Step 1: Volume of original prism
We are going to solve the volume of the original prism, with the dimensions of 9, 7, and 5
Step 2: Volume of part cut out
We are solving the volume of that part that has been cut out ( missing space)
- V = 5 * (9-2) * (7-3)
- V = 5 * 7 * 4
- V = 140
Step 3: Total Volume
Now we just subtract the cutout part from the original volume
Volume = 175 cm³
Note, we could have also found the volume by splitting this shape into two prisms with dimensions (9 * 3 * 5) and (4 * 5 * 2). This way would also get us:
- V = (9 * 3 * 5) + (4 * 5 * 2)
- V = 135 + 40
- V = 175
-Chetan K
37 and 1/2 could mean:
37+ (1/2)
37 times 1/2
37+1/2=37 and 1/2 or 37.5
37 times 1/2=37/2=18 and 1/2=18.5
The formula for the Binomial Theorem with a power 6 is as:
Thus, if we plug in 20 for x and 5 for y, our first term itself will be 
which is much greater than 256 and thus it will not make any sense to use 
to approximate 256 using the binomial theorem.
Also, it will not make any sense to use 
as that has no power and we know that Binomial Theorem makes use of Power. Anyway, 
.
Our best bet here would be to use the equation with power 8:
and have 
and 
which will give us
