Given:
The composite figure.
To find:
The volume of the given composite figure.
Solution:
Given composite figure contains a cuboid and a pyramid.
Length, breadth and height of the cuboid are 8, 6 and 4 respectively.
Volume of a cuboid is


Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.
Height of pyramid = 10 - 4 = 6
Volume of a pyramid is


The volume of composite figure is


It can be written as

Therefore, the correct option is A.
Answer:
y^2/x^6
apply exponent rule:
x^-2/x^4=1/x^4-(-2)=y/y^-1 x^4 -(-2)
then you subtract 4-(-2)=6
y/x^6 y^-1
cancel out the common factor: y^-1 and you get
y^2
------
x^6
We have the sum of cubes identity

and observing that 1 + 4 = 2 + 3, we have

and

Then

Alternatively, we have the well-known sum of cubes formula

The sum under the square root is this sum with
. Then

and so the square root again reduces to 15.
Answer:
step 2
Step-by-step explanation:
1) so in step 2 Becky make 4/5-5/4=0
this is wrong, as we have to make common denominators first:
16/20-25/20=-9/20
so now, we got -9/20
-9/20+7=
2) make common denominators again
-9/20+140/20=131/20
this is the right answer Hope this helps!
Answer:
1 / x^3
I don't know what you mean by trying to get more characters by the way sorry.
Step-by-step explanation:
Exponents rule will change X^-3 / x^0 to x^-3-0
Subtract the exponents to get x^-3
Since exponents cannot be negative, the answer will be changed to a fraction 1/x^3.