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ivolga24 [154]
3 years ago
15

Which describes the cross section of a square prism that passes through vertices A, B, and C?

Mathematics
2 answers:
expeople1 [14]3 years ago
6 0

Answer:

In triangle ABC one side equal 8\sqrt{2} and two sides equal 4\sqrt{13}

Step-by-step explanation:

We are given a prism whose base is square with sides 8 in and height 12 in.

If we take cross section through vertices A, B and C

We will get a cross section as triangle.

In triangle ABC, sides are AB, BC and AC

AB is diagonal of top square whose side 8 in.

AB=\sqrt{8^2+8^2}=8\sqrt{2}

AC is face diagonal of front face.

AC=\sqrt{8^2+12^2}=4\sqrt{13}

BC is face diagonal of right face.

BC=\sqrt{8^2+12^2}=4\sqrt{13}

AC=BC≠AB

Hence, In triangle ABC one side equal 8\sqrt{2} and two side equal 4\sqrt{13}

CaHeK987 [17]3 years ago
3 0

Answer:

A) A recangle that is not a square

Step-by-step explanation:

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\frac{11}{16}

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11/16 * 80 = 55

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2 years ago
A new machine makes three times as many toys in one hour as the old machine did it both machines make a total of 248 toys in one
ioda

Answer:

I am assuming you meant that the old machine made 248 toys in one hour instead of both if that is the case then the answer would be 744.

Steph-by-step explanation:

The new machine makes three times as many as the old machine so 248 times 3 = 744 toys in one hour

3 0
3 years ago
Which graph represents the solution set of the system of inequalities? {x+y<12 y≥x−4
RSB [31]

Answer: The graph in the bottom right-hand corner

(see figure 4 in the attached images below)

===========================================

Explanation:

Let's start off by graphing x+y < 1. The boundary equation is x+y = 1 since we simply change the inequality sign to an equal sign. Solve for y to get x+y = 1 turning into y = -x+1. This line goes through (0,1) and (1,0). The boundary line is a dashed line due to the fact that there is no "or equal to" in the original inequality sign. So x+y < 1 turns into y < -x+1 and we shade below the dashed line. The "less than" means "shade below" when y is fully isolated like this. See figure 1 in the attached images below.

Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.

After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.

5 0
2 years ago
Read 2 more answers
Can u help me get the right answer
stiks02 [169]

The slope is the change in Y over the change in X


The change in y is -2-0 = -2

The change in X is 3-9 = -6

The slope is -2/-6, which simplifies to 1/3

3 0
3 years ago
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