Answer:
9261
Step-by-step explanation:
V=6A3/2
36=6·26463/2
36=9261
Answer:
<h2>The area of the base is 144 square inches.</h2><h2>The area of each triangular face is 66 square inches.</h2><h2>Grabiel needs 408 square inches of paint.</h2>
Step-by-step explanation:
The complete problem is attached.
Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of

The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face

But there are four triangle faces, so
.
Therefore, the area of each triangular face is 66 square inches.
So, the total surface area would be the sum

Therefore, Gabriel needs 408 square inches to paint the whole model.
Answer:
t= 9, t= -9
Step-by-step explanation:
<span><u><em>The correct answers are: </em></u>
1) C
2) A
3) D
<u><em>Explanation</em></u><span><u><em>: </em></u>
1) <u>Voluntary deductions</u> are amounts that you elect to come out of your paycheck every pay period. Federal tax is not voluntary; neither is state tax, nor Social Security. The only voluntary deduction in this list is health insurance. You are not obligated to pay for your health insurance by automatically withholding it from your check.
2) <u>FICA</u> is the tax that goes towards Social Security and Medicare. It is involuntary, and it is deducted as a percentage of your gross (pre-withholding) pay.
3) <u>A fixed expense</u> would be one that is the same from month to month. The only one of these expenses that would be the same amount monthly is a mortgage.</span></span>
Answer: Box3 has 120 oranges.
Box1 has 150 oranges.
Box has 130 oranges.
Step-by-step explanation:
I will answer this in English.
The question says:
3 boxes have 400 oranges.
The first one has 20 more than the second and 30 more than the third.
So we have 3 equations:
box1 + box2 + box3 = 400
box1 = box2 + 20
box1 = box3 + 30
Now, we can take the variable box1 in the third equation and replace it on the other two.
box3 + 30 + box2 + box3 = 400
box3 + 30 = box2 + 20
Now we can isolate one of the variables in the second equation, let's isolate box2.
box2 = box3 + 30 - 20 = box3 + 10
now we can replace it in the other equation:
box3 + 30 + box2 + box3 = 400
box3 + 30 + box3 + 10 + box3 = 400
3*box3 + 40 = 400
3*box3 = 400 - 40 = 360
box3 = 360/3 = 120.
Box3 has 120 oranges.
Box1 has 120 + 30 = 150 oranges.
Box has 150 - 20 = 130 oranges.