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Vlad1618 [11]
2 years ago
8

PLEASE HELP!

Mathematics
1 answer:
IrinaVladis [17]2 years ago
3 0

Answer:

Step-by-step explanation:

<h3>Sphere:</h3>

1) a) r =  7 cm

 \sf \boxed{\text{Volume of sphere=$\dfrac{4}{3}\pi r^3$}}

                             \sf =\dfrac{4}{3}*3.14*7*7*7\\\\= 1436 \ cm^3

 \sf \boxed{\text{\bf Surface area of sphere = $4\pi r^2$}}

                                           = 4*3.14 * 7 * 7

                                           = 615.44 cm²

b) r= 8.4 cm

     Volume = \dfrac{4}{3}\pi r^3

                  \sf =\dfrac{4}{3}*\dfrac{22}{7}*8.4*8.4*8.4\\\\= 2483.7 \ cm^3

   Surface area = 4*3.14*8.4*8.4

                         = 887.04 cm²

<h3>Hemisphere:</h3>

      a) r = 6 cm

     \sf \boxed{\text{\bf Volume of hemisphere =$\dfrac{2}{3} \pi r^3$}}

                                                \sf =\dfrac{2}{3}*3.14*6*6*6\\\\= 452.16 \ cm^3

        \sf \boxed{\text{\bf Surface area of hemisphere=3 \pi r^2}}\sf \boxed{\text{\bf Surface area of hemisphere = $3 \pi r^2$}}

                                                            = 3 * 3.14 * 6 * 6

                                                             = 339.12 cm²

                                                           

                       

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<h2><u>Answer:</u></h2>

The roofing company can take out <u>196.352kg</u> of shingles.

<h2><u>Step-by-step explanation:</u></h2>
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8 0
3 years ago
Select the correct answer from each drop-down menu.
Svetradugi [14.3K]

If you read the question you can find it missing some information. By Googling it, you can find the complete question here. brainly.com/question/12852445

The given statement m∠1 = m∠4 and m∠3 = m∠5, its reason is Alternate Interior Angle.

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

Let ABC is a triangle and a line DE traverses through the point B.

That results in AC is parallel to DE.

From the diagram, m∠1 and m∠4  is alternate to each other and m∠3 and m∠5 is alternate to each other. Also, they present in the interior position.

According to alternate interior theorem, when a line traverses through two parallel line creates equal angles in the interior sides which the angles will be opposite to each other.

⇒ m∠1 = m∠4 and m∠3 = m∠5. (refer the diagram).

Now let us continue with the proof,

The total angle of the straight line is 180°.

Here the straight line is DE which consists of three angles m∠4, m∠2, m∠5.

⇒m∠4 + m∠2 + m∠5 = 180° .

we know that, m∠1 = m∠4 and m∠3 = m∠5.

Let us substitute in the above equation.

m∠1 + m∠2 + m∠3 = 180°.

Hence proved.

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