Please help me!!!!!!!!!!!!!!!!!

I need to find the surface area. it's a cut sphere with a diameter of 14.

alex41 [277]

Given data:

The diameter of the cut sphere, D=14 in.

The radius of the cut sphere is,

$\begin{gathered} r=\frac{D}{2} \\ r=\frac{14}{2} \\ r=7\text{ in} \end{gathered}$

The cut sphere is called a hemisphere.

The surface area of a sphere is

$A_1=4\pi r^2$

So, the lateral surface area of a hemisphere is half the surface area of sphere. Therefore, the lateral surface area of a hemisphere is,

$\begin{gathered} A_2=\frac{4\pi r^2}{2} \\ A_2=2\pi r^2 \end{gathered}$

The hemisphere has a lateral surface and a circular surface. The area of the circular surface is,

$A_3=\pi r^2$

Therefore, the total area of the hemisphere is,

$\begin{gathered} A=A_2+A_3 \\ A=2\text{ }\pi r^2+\pi r^2 \\ A=3\text{ }\pi r^2 \end{gathered}$

The total surface area of a hemisphere is,

$\begin{gathered} A_{}=3\text{ }\pi r^2 \\ A=3\text{ }\pi\times7^2 \\ A=461.8in^2 \end{gathered}$

Therefore, the total surface area of the cut sphere is 461.8 square inches.

6 0

10 months ago

if a baseball team has lost 50 matches out of the 120 matches played in total, find out their winning percentage?

Helga [31]

To find the amount of matches won:

120 – 50 = 70

So the baseball team has won 70 matches.

To convert this to a percentage:

(Matches won / Total matches ) x 100

(70/120) x 100 = 58.3% (rounded to 1 decimal place)

6 0

2 years ago

How do I find x?? It’s in french by the way.

DENIUS [597]

Answer:

The answer is 108

Step-by-step explanation:

The angle is obtuse and the only obtuse answer is 108.

5 0

3 years ago

Read 2 more answers

The graph of a quadratic function having the form f(x) = ax? + bx + c passes

insens350 [35]

Answer:

f(-3) = -20

Step-by-step explanation:

We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...

34, 10, -8, ?

The first differences of these numbers are ...

10 -34 = -24

-8 -10 = -18

And the second difference is ...

-18 -(-24) = 6

For a quadratic function, second differences are constant. This means the next first-difference will be ...

? -(-8) = -18 +6

? = -12 -8 = -20

The value of the function at x=-3 is -20.

_____

The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)

5 0

2 years ago

Find a vector parametric equation r⃗(t) for the line through the points P=(1,0,−2) and Q=(1,5,1) for each of the given condition

const2013 [10]

So the question ask to find and calculate the vector parametric equation r(t) for the line through the points P=(1,0,-2) and Q(1,5,1) for each given condition. And the possible vector parametric equation is <1,2,-2>+t/4<1,5,3>. I hope you are satisfied with my answer and feel free to ask for more

7 0

2 years ago