Solve for x and then find the length of each segment. The measure of segment is equal to the sum of its smaller parts

Mathematics

1 answer:

leva [86]3 years ago

8 0

Answer:

28hueu27ye6ry2u7wyee

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HELP I NEED TO DO THIS NOW I NEED ANSWER B AND C

Tanzania [10]

Answer: a = 13 b = 39 c = 12

Step-by-step explanation:

6 0

3 years ago

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

1 year ago

Hey can you please help me posted picture of question :)

otez555 [7]

Answer:
The solutions are -3 and -6

Explanation:
First we would need to put the equation in standard form which is:
ax² + bx + c = 0
This can be done as follows:
x² + 18 = -9x
x² + 9x + 18 = 0
By comparison, we would find that:
a = 1
b = 9
c = 18

Now, to get the roots, we would use the quadratic formula shown in the attached image.

By substitution, we would find that:
either x = $\frac{-9+ \sqrt{(9)^2-4(1)(18)} }{2(1)} = -3$

or x = $\frac{-9- \sqrt{(9)^2-4(1)(18)} }{2(1)} = -6$

Hope this helps :)