Adam drew two same size rectangles and divided them into the same number of eqal parts. He shaded 1/3 of one rectangle and 1/4 of the other rectangle. What is the least number of parts into which both rectangles could be divided?

Answers

Answer 1

Answer: The problem needed to say that when he did the shading,
he only shaded WHOLE PARTS.

For the rectangle that he shaded 1/3 of, how many parts could it have ?
It could have 3, 6, 9, 12, 15, 18, 21, etc. parts ... the multiples of 3.

For the rectangle that he shaded 1/4 of, how many parts could it have ?
It could have 4, 8, 12, 16, 20, etc. parts ... the multiples of 4.

Both rectangles have the same number of parts.
What's the smallest number on both of those lists ?
It's called the "least common multiple of 3 and 4".
It's the smallest number that they both go into.
It's 12 .

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When you use the distance formula, you are calculating the length of the _____ of a right triangle. A.hypotenuse B.longer leg C.perimeter D.shorter leg

Answers

You are finding the hypotenuse. :)

Answer:

A.hypotenuse

Step-by-step explanation:

When you use the distance formula, you are calculating the length of the hypotenuse of a right triangle

(x^2+1)(x-2)=x^3-2x^2+x-2
Solve for x

Answers

Step 1: Subtract x^3 from both sides.x^3−2x^2+x−2−x^3=x^3−2x^2+x−2−x^3−2x^2+x−2=−2x^2+x−2

Step 2: Add 2x^2 to both sides.−2x^2+x−2+2x^2=−2x^2+x−2+2x^2x−2=x−2

Step 3: Subtract x from both sides.x−2−x=x−2−x−2=−2

Step 4: Add 2 to both sides.−2+2=−2+20=0

Answer:All real numbers are solutions.

Calcylate the volume of this regular solidWhat is the volume of the rectangular prism
6 cm
5 cm
9 cm

Answers

Answer:

V = 270 cm³

Step-by-step explanation:

Remember your volume formula: V=lwh

So, plug in all your variables and multiply:

(6)(5)(9) = 270

And we have our final answer!

A) dilations always increase the length of line segmentsB) dilations take right angles to right angles

C) dilations of an angle are congruent to the original angle

D) dilations increase the measure of angles

E) dilations of a triangle are congruent to the original triangle

F) dilations dilations of a triangle are similar to the original triangle