All categories

3 years ago

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 ..

You might be interested in

Need answer quickly. Thanks

ratelena [41]

Answer:

sopa de macaco

Step-by-step explanation:

macacoooooooo

8 0

3 years ago

Hannah has a bag containing 2 Red, 4 purple, 4 Blue and 2 Green

juin [17]

Answer:

1/18

Step-by-step explanation:

there are 12 marbles in the bag

P(choose red) = 2/12 = 1/6

P(choose blue after replacement) = 4/12 = 1/3

P(choose red, then blue with replacement) = (1/6)(1/3) = 1/18

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.

$r= \sqrt{(3-(-4))^2+(5-6)^2}
\\r = \sqrt{7^2+(-1)^2}
\\r= \sqrt{50} 
\\ r=5 \sqrt{2}$

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)

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

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

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

$x_1=38-7y_1=38-7 \times 6 = 38-42=-4
\\x_2=38-7y_2=38-7 \times 4 = 38-28=10
$

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

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

Nikitich [7]

It there are 100 centimeters in 1 meter, then there are 700 centimeters in 7 meters. :)

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:

Step-by-step explanation:

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