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3 years ago

Surface Area of Cylinders - Item 1175

Mathematics

1 answer:

mylen [45]3 years ago

5 0

The surface area is 47.1 sq in.

Step-by-step explanation:

Given,

The height (h) of the coin (cylinder shaped) = 5 inches

The radius (r) = 1.5 inches

To find the surface area of the coin.

We need to find the lateral surface area of the coin.

Formula

The surface area of the coin of radius r and height h is 2πrh.

Now,

Putting the value of h and r and π=3.14 we get,

Area = 2×3.14×1.5×5 sq inches

= 47.1 sq in

Hence, the surface area is 47.1 sq in.

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3x + 5y = 7 How to solve it

Lubov Fominskaja [6]

Answer:

x=1 and y=4/5

Step-by-step explanation:

Given system of equations

3x+5y=7

5x+10y=13

Multiply first equation by 2

2(3x+5y)=2(7)

6x+10y=14

Eliminate y-variable to get "x"

6x+10y=14

- 5x+10y=13

x = 1

Substitute x=1 into either equation and find "y"

3x+5y=7

3(1)+5y=7

3+5y=7

5y=4

y=4/5

Therefore, x=1 and y=4/5

6 0

2 years ago

What is the midpoint of 18.6 and 18.5?

Nina [5.8K]

The midpoint of 18.6 and 18.5 is 18.55

5 0

3 years ago

The depth of a lake in Lexington changes over time due to rainfall and evaporation. A few months ago, the depth was 1,300 feet.

SVETLANKA909090 [29]

Answer:

The Depth of the lake had increased by 19%.

Step-by-step explanation:

Given:

Depth of lake few months ago = 1300 ft

depth of lake currently = 1547 ft

We need to find the percent of increase in depth of lake.

Solution:

First we will find the increase in depth of lake.

Increase in depth of lake can be calculated by subtracting Depth of lake few months ago from depth of lake currently.

framing in equation form we get;

increase in depth of lake = $1547-1300= 247\ ft$

Now to find the percent of increase in depth of lake we will divide increase in depth of lake from Depth of lake few months ago and then multiply by 100.

framing in equation form we get;

percent of increase in depth of lake = $\frac{247}{1300}\times 100 = 19\%$

Hence the Depth of the lake had increased by 19%.

6 0

4 years ago

In the diagram, VZ/YZ=WZ/XZ. To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used

Vitek1552 [10]

Answer:

The angles $\angle VZW\cong \angle YZX$ are used to prove the similarity of triangles VWZ and YXZ.

Step-by-step explanation:

Given information: $\frac{VZ}{YZ}=\frac{WZ}{XZ}$

Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.

If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.

From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.

$\angle VZW=\angle YZX$ (Vertically opposite angles)