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hjlf
3 years ago
7

Find the two missing terms of the sequence and determine if the sequence is arithmetic, geometric, or neither.

Mathematics
1 answer:
wolverine [178]3 years ago
6 0
-5, -7
The sequence is arithmetic.
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A circle with area 16pi has a sector with a central angle of 8/5pi radians. What is the area of the sector?
lianna [129]

Answer:

The area of the sector is 12.8\pi\ units^2

Step-by-step explanation:

we know that

The area of a complete circle (16π units^2) subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector , if the central angle is equal to 8π/5 radians

\frac{16\pi}{2\pi}=\frac{x}{(8\pi/5)}\\\\x=8(8\pi/5)\\\\x= 12.8\pi\ units^2

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3 years ago
Help me out please and thank you
faust18 [17]
<h3>Answer: 1</h3>

========================================================

Explanation:

We're given the height in relation to base BC, so we need to find the length of this base. This is the same as finding the distance from B to C.

Turn to the distance formula

d = \text{Distance from B to C}\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y^2)^2}\\\\d = \sqrt{(-2-(-3))^2+(-1-(-2))^2}\\\\d = \sqrt{(-2+3)^2+(-1+2)^2}\\\\d = \sqrt{(1)^2+(1)^2}\\\\d = \sqrt{1+1}\\\\d = \sqrt{2}\\\\

Coincidentally, the base and height are the same. This won't always be the case.

Now we can find the area of the triangle

A = \text{Area of triangle}\\\\A = \frac{1}{2}*\text{Base}*\text{Height}\\\\A = \frac{1}{2}*\sqrt{2}*\sqrt{2}\\\\A = \frac{1}{2}*\sqrt{2*2}\\\\A = \frac{1}{2}*\sqrt{4}\\\\A = \frac{1}{2}*2\\\\A = 1\\\\

The area of the triangle is 1 square unit.

See diagram below.

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2 years ago
Sin2x=0..................
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It would be 23 I’m pretty sure:)
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