We are asked to solve for the volume of the composite figures and the answer is the summation of the two volumes such as the volume of a triangular prism and volume of a rectangular prism. In order to solve this, we need to recall the following formulas:
the volume of triangular prism = 1/2* b*h*l and solving the volume, we have it:
the volume of triangular prism = 1/2 * 15* 16*20 = 3600 units³
the volume of rectangular prism = l*w*h and solving the volume, we have it:
the volume of rectangular prism = 20*15*12 = 2400 units³
The total volume of the composite figure is the summation of the two volumes such as:
total volume = 3600 + 2400
total volume = 6000 units²
The answer is 6,000 units².
Answer:



.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So

In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
.
Now


Given:
Annual salary average: $22,040
Annual Social security benefit: 42% of salary average
Monthly bill: $1,375
$22,040 x 42% = $9,256.80 per annum
$9,256.80 / 12 mos = $771.40 per month
$1,375 – 771.40 = $603.60
Since, Christina only receives $771.40 per month from her Social Security benefit, she has to take $603.60 from her savings each month to help pay her monthly bill of $1,375.
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Answer:
Given Below
Step-by-step explanation:
v = u+at
u+at = v
at = v-u
t = v-u/a
Hope this helps
Where are the graphs? And the solutions are the 2 points that intersect with the x-axis I don’t know if that’s the correct equation but i only got 1 solution once i put the equation into Desmos