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Butoxors [25]
3 years ago
15

If a 10 cm radius wheel rotates through 2 radians how many meters has it rolled?

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0
2 radians = 2 full rotations
pi = 3.14

circumference of wheel = 2(pi)r
= 20 * 3.14
=62.8 cm
= 0.628m

meters rolled = 0.628 * 2
=1.256 m
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Find x from given equations sin30 + 2 cot^2 30 + x cos^2 30= 8+ tan^2 45 + cos 60​
julia-pushkina [17]

Answer

1/2+2×(sqrt3)^2+x.(sqrt3/2)^2=8+1^2+1/2

1/2+2×3+x.3/4=8+1+1/2

1/2-1/2+6+x.3/4=9

x.3/4=9-6

x.3×4=3

x.3=3×4

x.3=12

x=12/3

x=4.

so, the value of x is 4.

hope it helps you.

4 0
3 years ago
A given line has the equation 10x+2y=-2.
Iteru [2.4K]

The equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

If two lines are parallel then their slopes are equal.

We have the following line:

10x + 2y = -2\\2y = -10x-2\\y = -5x-1

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Therefore a parallel line is of the form:

y = -5x + b

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12 = -5 (0) + b\\12 = b

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y = -5x + 12

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8 0
3 years ago
Question 4
Ilia_Sergeevich [38]

Answer:

2

Step-by-step explanation:

Given

See attachment for chart

Required

Number of off days

To do this, we simply calculate the expected value of the chart.

This is calculated as:

E(x) = \sum x * f

Where

x = days

f = chances

So, we have:

E(x) = 0* 0.3 + 1 *0.2 + 2 * 0.25 + 3  * 0.2 + 4  * 0.02 + 5 * 0.01 + 6 * 0.01 + 7 * 0.01

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3 0
2 years ago
Help pls do allll 6 questions... with steps
BaLLatris [955]
You just want to simplify right?!

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= b
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= (-9x^6y^2)(4xy^2)
= -36x^7y^4
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(Sorry it’s messy it’d look better if my phone could actually put the numbers to the power)
5 0
3 years ago
What is the sine value of pi over 6?
loris [4]
The value of sin (pi/6) is 1/2
8 0
3 years ago
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