Answer:
660 ft³
Step-by-step explanation:
The way I'm thinking of it, we can think of it as a triangle and then extruding out from that triangle for the length.
First, the triangle:
area = base * width / 2 = 12 * 10 / 2 = 60 ft²
volume = the triangle for the length
the length is 11 feet,
so we extrude that triangle for 11 feet to get
60 ft² * 11 ft = 660 ft³
we multiply 10 ft by 12 ft by 11 ft. there are 3 instances of ft, so the corresponding exponent is therefore ³.
another way to think of the extrusion is like a rectangular prism, the formula for a rectangular prism's volume is length * width * height. we're extruding from the bottom rectangle for the whole of the height, so we multiply the area of the bottom triangle (length * width) by height.
this might be confusing so let me know if you have any questions!
For this case we have the following expression:
^ 5sqrt4x ^ 2 ^ 5sqrt4x ^ 2
Rewriting the expression we have:
((4x ^ 2) ^ (1/5)) ((4x ^ 2) ^ (1/5))
For power properties we have:
(4x ^ 2) ^ (1/5 + 1/5)
(4x ^ 2) ^ (2/5)
Rewriting we have:
(16x ^ 4) ^ (1/5)
^ 5sqrt16x ^ 4
Answer:
^5sqrt16x^4
Answer:
The highest common factor for both 102 and 153 is
GCF- 51
Step-by-step explanation:
51*3= 153
51*2=102
Answer:
A, C, D, E
Step-by-step explanation:
According to the rational root theorem, any rational roots will be of the form ...
±(divisor of the constant)/(divisor of the leading coefficient)
The constant is 8, and its divisors are 1, 2, 4, 8.
The leading coefficient is 6, and its divisors are 1, 2, 3, 6.
So, no rational root will have 3 in the numerator, eliminating choices B and F. The remaining choices are possible rational roots:
