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3 years ago

Find the surface area of the following figure.

Mathematics

1 answer:

marin [14]3 years ago

5 0

Answer:

144

Step-by-step explanation:

just split the shapes and find the area of each shape then add the answers all together

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Right triangle ABC and its image, triangle A'B'C' are shown in the image attached.

AlladinOne [14]

Answer:

See explanation

Step-by-step explanation:

Triangle ABC ha vertices at: A(-3,6), B(0,-4) and (2,6).

Let us apply 90 degrees clockwise about the origin twice to obtain 180 degrees clockwise rotation.

We apply the 90 degrees clockwise rotation rule.

$(x,y)\to (y,-x)$

$\implies A(-3,6)\to (6,3)$

$\implies B(0,4)\to (4,0)$

$\implies C(2,6)\to (6,-2)$

We apply the 90 degrees clockwise rotation rule again on the resulting points:

$\implies (6,3)\to A''(3,-6)$

$\implies (4,0)\to B''(0,-4)$

$\implies (6,-2)\to C''(-2,-6)$

Let us now apply 90 degrees counterclockwise rotation about the origin twice to obtain 180 degrees counterclockwise rotation.

We apply the 90 degrees counterclockwise rotation rule.

$(x,y)\to (-y,x)$

$\implies A(-3,6)\to (-6,-3)$

$\implies B(0,4)\to (-4,0)$

$\implies C(2,6)\to (-6,2)$

We apply the 90 degrees counterclockwise rotation rule again on the resulting points:

$\implies (-6,-3)\to A''(3,-6)$

$\implies (-4,0)\to B''(0,-4)$

$\implies (-6,2)\to C''(-2,-6)$

We can see that A''(3,-6), B''(0,-4) and C''(-2,-6) is the same for both the 180 degrees clockwise and counterclockwise rotations.

7 0

3 years ago

There are 12 pieces of pie that are going to be split between 5 people. How many slices of pie does each person get? Choose the

e-lub [12.9K]

Answer:

2.4 (2 2/5) pieces of pie per person.

Step-by-step explanation:

All that is needed to be done is simple division. Take your pieces of pie, (12) and divided it by the amount of people (5). This will give you 2.4. This can be turned into 24/10, and can be simplified twice. First to 12/5, then to 2 2/5.

Hope this helps!

8 0

2 years ago

graph of a function is alone that passes through the points (0,1) and (3,10) write an equation in the form y=Mx+b. For this func

nadya68 [22]

Answer:

y = 3x + 1

Step-by-step explanation:

(0,1) so that is the b

the rate of change is 9/3 so the m is 3

8 0

3 years ago

Find the volume of this 1/4 cylinder after removing the inner part

denpristay [2]

28-21=7

thickness = 2x7=14

$volume = \frac{1}{4} \pi \times h( {ro}^{2} - {ri}^{2} ) \\ = \frac{1}{4} \times 3.14 \times 14( {35}^{2} - {21}^{2} ) = 8620.276$

3 0

3 years ago

A farmer Has 900 yards of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river,

horsena [70]

Answer:

Length, l=450 yards

Width, b=225 yards

Step-by-step explanation:

Let the long side be x and since the length is twice the width, then the width is half of that length hence 0.5x. Since we only have three parts to fence as one long side doesn't require fencing, then the perimeter will be given by x+0.5x+0.5x=2x=900 yards

X=900/2=450 yards for long side.

The short side is 0.5x hence 0.5*450=225 yards

In conclusion, the long side is 450 yards while short side is 225 yards.

7 0

3 years ago