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RUDIKE [14]
3 years ago
8

Find the length of AB

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0

Hey there! :)

Answer:

arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)

Step-by-step explanation:

Begin by finding the circumference of the circle. Use the formula:

C = 2rπ

C = 2(9)π

C = 18π.

Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:

\frac{50}{360}  = \frac{x}{18\pi }

Cross multiply:

50 · 18π = 360x

900π = 360x

Divide both sides by 360:

x = 2.5π in, or ≈7.85 in.

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(03.01 LC)
vampirchik [111]

Answer:

√7 units, √98 units

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2. So 9+b^2=16. So b^2=7. So b=√7

a^2+b^2=c^2. SO 49+49=c^2. So 98=c^2. So c=√98.

4 0
3 years ago
Read 2 more answers
What is the equation of a line with a slope of -2 that passes through the point (-2,12)?
slavikrds [6]

Answer:

y=-2x + 8 which is the required equation

Which is option C

Step-by-step explanation:

Given:

Slope = m = -2

Given points are ( -2,12)

Which is

x = -2 and y =12

TO find:

Equation of line passing through these points = ?

Solution:

The point slope form of a line is

y = mx + c

Here we don't know the value of c

To find it

Putting y = 12 , x= -2 and y = -2 in the given equation

y = mx + c

Putting values it becomes

12 = (-2)*(-2) + c

12 = 4 + c

Subtracting 4 from both sides

12-4 = 4 -4 + c

8 = c

Now we have

m = -2 and c= 8

So equation of a line is given by

y = mx + c

Putting value of m and c

y = -2*x + 8

y=-2x + 8 which is the required equation


7 0
3 years ago
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Which is the ordered pair for the translated point D'?
olga_2 [115]
(x;\ y)\\\\D(-3;\ 1)\\\\right(+),\ left(-)\to x\\up(+),\ down(-)\to y\\\\left\ 4\to-3-4=-7\\up\ 0\to1+0=1\\\\Answer:\boxed{D.\ (-7;\ 1)}
7 0
3 years ago
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There are 180 students going on a class field trip. Of those students, 40% are boys. How many students on the field trip are boy
Rufina [12.5K]

Answer:72 are boys.

Step-by-step explanation:

40%of 180 is 72.

3 0
3 years ago
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15- -10 x -20 divided by (12 + -8)<br><br> What is the answer?
kobusy [5.1K]

Answer:

          10x - 5 / 4

Step-by-step explanation:

        15 - ( -10x ) - 20 / ( 12 + ( -8 ) )

      = ( -5 ) + 10x / ( 4 )

      = 10x - 5 / 4

<em>Hope it helps</em>

<em>:D</em>

3 0
3 years ago
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