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Nimfa-mama [501]
3 years ago
11

Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. The vertices of rectangle ABCD are l

abeled in alphabetical order going clockwise around the figure. If AB = 3 units and AD = 5 units, what is the length of B'C'?
Mathematics
1 answer:
AlekseyPX3 years ago
3 0

The length of B'C' in the rectangle A'B'C'D' = 9 units.

<u>Step-by-step explanation</u>:

step 1 :

Draw a rectangle with vertices ABCD in clockwise direction.

where, AB and DC are width of the rectangle ABCD.

            AD and BC are length of the rectangle ABCD.

step 2 :

Now,

The length of the rectangle is AD = 5 units and

The width of the rectangle is AB = 3 units.

step 3 :

Draw another rectangle with vertices A'B'C'D' extended from vertices of the previous rectangle ABCD.

step 3 :

The length of the new rectangle is A'D' which is 4 units down from AD.

∴ The length of A'D' = length of AD + 4 units = 5+4 = 9 units

step 4 :

Since B'C' is also the length of the rectangle A'B'C'D', then the measure of B'C' is 9 units.

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The answer is 1 over 3(3.14)(5²)(8) 

The volume of the cylinder (V1) is:
V1 = π · r² · h                (r - radius, h - height)

The volume of the cone (V2) is:
V2 = 1/3 π · r² · h         (r - radius, h - height)

It is given:
r = 5 feet
h = 8 feet
π = 3.14

Therefore, the volume of the cone is:
V2 = 1/3 · 3.14 · 5² · 8   which is the same as 1 over 3(3.14)(5²)(8). 

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PLEASE HELP ME!<br> I have to find the measurement of the angle but i can't figure it out.
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<u>Answer:</u>

  • The value of ∠TMV is 45°.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

  • ∠VTM + ∠TMV + ∠MVT = 180°
  • ∠VTM = 92
  • ∠MVT = 43

<u>Work:</u>

  • ∠VTM + ∠TMV + ∠MVT = 180°
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Hence, <u>the value of ∠TMV is 45°.</u>

Hoped this helped.

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