Answer:
Step-by-step explanation:
We have a composite figure, therefore the volume of the figure will be the sum of the volume of both figures.
The volume of the rectangular prism is the product of its length by its width by its height
The volume of the triangular prism is
Where 
is the area of the triangular base and l is the length
Finally
Answer:
x = −3
Step-by-step explanation:
The equation is
log(2x + 6) + 8 = 3
We combine first subtract 8 on both sides
log(2x + 6) + 8-8 = 3 -8
log(2x + 6) = -5
The log is to base 10
Thus;
10 ⁻⁵ = 2x + 6
0.00001 = 2x + 6
2x = 0.00001 -6
2x = -5.99999
Dividing both sides by 2
x = - 2.999995
<u> ≈ - 3</u>
SOLUTION:
Total number of spinning = 250 times
Number 5 coming up = 20 times
The experimental probability of spinning a 5;
There are no "of the following" listed, but when you multiply a length by 2/3, you're indicating that you are only "using" 2/3 of that length, which is smaller by a third. Regardless of what your original lengths of the diagonals are, the area is going to be smaller. By 2/3, to be exact.
Answer:
10
Step-by-step explanation:
This is an arithmetic sequence. The common difference is -6, and the first term is 52.
a = 52 − 6(n − 1)
When n = 8:
a = 52 − 6(8 − 1)
a = 52 − 42
a = 10
