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LuckyWell [14K]
3 years ago
11

WILL MARK BRAINLIEST Which expression represents the surface area of the cone?

Mathematics
2 answers:
Vlad1618 [11]3 years ago
7 0

Answer:

The correct answer is third option

 π(3)(5) + π3²

Step-by-step explanation:

<u>Points to remember</u>

Surface area of cone = πrl + πr²

Where r is the radius of the cone and l is the slant height of cone

<u>To find the correct answer</u>

Here r = 6/2 = 3 in

l = 5 in

Surface area =  πrl + πr²

 =  π(3)(5) + π3²

The correct answer is third option

 π(3)(5) + π3²

Virty [35]3 years ago
6 0

Answer:

Third option

Step-by-step explanation:

By observing the diagram we can see that the diameter of circular base is 6 inches. The diameter will be sued to find the radius.

r = 6/2 = 3 inches

We can also see from the diagram that lateral height denoted by l is 5 in.

We know that the formula for surface area of a cone is given by:

SA = \pi rl+\pi r^2\\Putting\ the\ values\ of\ r\ and \l\\SA = \pi (3)(5)+\pi (3)^2

Comparing it with the options we get that the third option is correct ..

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juin [17]

Answer:

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7 0
2 years ago
a circle has a center (3,5) and a diameter AB. The coordinates of A are (-4,6). what are the coordinates of B?
Kruka [31]
Find the length of the radius.

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Find the length of the diameter.

d = 2r = 2 × 5√2 = 10√2

Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)

y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1)&#10;\\y-6= \frac{5-6}{3-(-4)}  (x-(-4))&#10;\\y-6=- \frac{1}{7} (x+4)&#10;\\7y-42=-x-4&#10;\\x+7y-38=0 

The distance from B(x, y) to C(3, 5) is 5√2.
\sqrt{(x-3)^2+(y-5)^2}=5 \sqrt{2} &#10; \\(x-3)^2+(y-5)^2=(5 \sqrt{2})^2 &#10;\\(x-3)^2+(y-5)^2=50

Solve system of equations.
x+7y-38=0&#10;\\(x-3)^2+(y-5)^2=50&#10;\\&#10;\\x=38-7y&#10;\\(38-7y-3)^2+(y-5)^2=50&#10;\\(35-7y)^2+(y-5)^2=50&#10;\\1225-490y+49y^2+y^2-10y+25-50=0&#10;\\50y^2-500y+1200=0&#10;\\y^2-10y+24=0&#10;\\y^2-6y-4y+24=0&#10;\\y(y-6)-4(y-6)=0 \\(y-6)(y-4)=0 \\y_1=6,y_2=4&#10;

x_1=38-7y_1=38-7 \times 6 = 38-42=-4&#10;\\x_2=38-7y_2=38-7 \times 4 = 38-28=10&#10;

Point B could have coordinates
\\&#10;\\(x_1,y_1)=(-4,6),(x_2,y_2)=(10,4)&#10;

But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).
8 0
3 years ago
How many centimeters are in 7 meters 100cm/1m=?/7m
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6 0
2 years ago
What value represents the horizontal translation from the graph of the parent function f(x)2 to the graph of the function g(x)=
maks197457 [2]

Answer:

4

Step-by-step explanation:

I graphed the functions on the graph below so you can see that the horizontal translation is represented by 4.

7 0
3 years ago
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