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padilas [110]
4 years ago
13

Graph: y - 10 = -2(z – 10)

Mathematics
1 answer:
ZanzabumX [31]4 years ago
3 0
Slope = -2; y-intercept = 30

points: (2, 26); (3, 24)

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Find the area of the sector of a circle with radius 2 inches formed by a central angle of 4.3 radians: (in square inches)
aleksandr82 [10.1K]

Answer:

8.6 in²

Step-by-step explanation:

The area of the entire circle is A = πr², or A = π(2 in)².

This corresponds to a central angle of 2π radians, or 6.28 radians.

The area of the sector described above is just a certain fraction of that:

4.3 rad

-------------- * Area of circle = 0.685(4 * 3.14) = 8.6 in²

6.28 rad

3 0
3 years ago
A bag contains 3 red marbles and 6 blue marbles. what is the probability of randomly selecting a red marble
DochEvi [55]
3/9 is your answer. 3+6=9 and there are 3 red marbles.
4 0
3 years ago
Does point (-6, -7) lie on the circle centered at (-2,-8), that contains the point (2, -9).
Nesterboy [21]
Equation of circle:
(x+2)^2 + (y+8)^2 = 17

Point (-6, -7)

(-6+2)^2 + (-7+8)^2 = 17
(-4)^2 + (1)^2 = 17
16 + 1 = 17
17 = 17

Answer is YES
3 0
3 years ago
If a sprinkler waters 1/15 of a lawn in 1/3 hour, how much time will it take to water the entire lawn?
sammy [17]

Answer:

ok so first we know that 1/3 of a hour is 20 minutes since

60*1/3=20

so every 20 minutes 1/15 of the lawn is mowed then we need to just multiply 20 by 15

20*15=300

300 minutes or 5 hours

Hope This Helps!!!

7 0
2 years ago
Read 2 more answers
Find y' if x = tan(y)
Travka [436]
Use the chain rule:

x=\tan y
\dfrac{\mathrm d}{\mathrm dx}x=\dfrac{\mathrm d}{\mathrm dx}\tan y
1=\sec^2y\dfrac{\mathrm dy}{\mathrm dx}
1=\sec^2y\,y'
y'=\dfrac1{\sec^2y}=\cos^2y

Furthermore, if you restrict the domain of y, we could write

x=\tan y\iff \tan^{-1}x=y

and so we could also have

y'=\cos^2(\tan^{-1}x)=\left(\dfrac1{\sqrt{x^2+1}}\right)^2=\dfrac1{x^2+1}
5 0
4 years ago
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