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2 years ago

Help the skeleton in the closet out,

Mathematics

2 answers:

Delvig [45]2 years ago

7 0

Answer:

umm okay...wow...yes....

Step-by-step explanation:

Alex2 years ago

5 0

Uhhhhhhhhhhh Interesting

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A 4-centimeter rod is attached at one end A to a point on a wheel of radius 2 cm. The other end B is free to move back and forth

zloy xaker [14]

Answer:

Step-by-step explanation:

The triangle that was formed has radius 2:

hypotenuse = 2

adjacent = x = 2*cosθ

opposite = y = 2*sinθ

from the first picture on the left, we see that the rod has length of 4.

We then use pythagoras theorem with respect to the triangle formed with the rod, i.e, the opposite leg, and the length of the remaining side (say, L), we have:

2²sin²θ +L² = 4²

On rearranging and making L subject of formula, we have

L = √(16 - 4sin²θ)

L = 2√(4 - sin²θ)

Also, the distance of point B is from the center of the circle, and it is:

2cosθ + 2√(4 - sin²θ)

We know that

3.5 revolutions per second means 3.5(2π) per second.

7π radians per second

So we try to write the angle formed as:

θ = 7π*t

where t is the time in seconds.

(a)

2cos(7πt) + 2√(4 - sin²(7πt))

at t = 1/21 we substitute for t, and then

2cos(π/3) + 2√(4 - sin²(π/3))

= 1 + √13 or approximately 4.6

(b)

(c)

B = 2cos(7πt) + 2√(4 - sin²(7πt))

dB/dt = - 14πsin(7πt) - { 14π*cos(7πt)sin(7πt)/√(4 - sin²(7πt)) }

4 0

2 years ago

The area of a rectangular playground is 16 square yards. The length of the playground is 4 times longer than

Alexxandr [17]

length = 8 yd and width = 2 yd

So, Option D is correct.

Step-by-step explanation:

Area of rectangular playground = 16 square yards

Width of playground = w

Length of playground = l = 4w

We need to find length(l) and width(w)

The formula used is:

$Area = Length * Width$

Putting values:

$Area = Length * Width\\16=4w*w\\16=4w^2\\w^2=\frac{16}{4}\\w^2=4\\Taking\,\,square\,\,root:\\\sqrt{w^2}=\sqrt{4}\\ w=\pm 2$

Since width of rectangle is always positive, so we will take w = 2

So. Width = 2

Length = 4w = 4(2) = 8

Hence, length = 8 yd and width = 2 yd

So, Option D is correct.

Keywords: Area of rectangle

Learn more about Area of rectangle at:

#learnwithBrainly

3 0

3 years ago

The average lifetime of a set of tires is 3.4 years. The manufacturer will replace any set of tires failing within three years o

ICE Princess25 [194]

Answer: the probability that the tires will fail within three years of the date of purchase is 0.12

Step-by-step explanation:

The average lifetime of a set of tires is 3.4 years. It means that μ = 3.4

Decay parameter, m = 1/3.4 = 0.294

The probability density function is

f(x) = me^-mx

Where x is a continuous random variable representing the time interval of interest(the reliability period that we are testing)

Since x = 3 years,

Therefore, the probability that the tires will fail within three years of the date of purchase is

f(3) = 0.294e^-(0.294 × 3)

f(3) = 0.294e^- 0.882

f(3) = 0.12

7 0

3 years ago

Which graph represents a function

Nadya [2.5K]

Answer:

The top left.

Step-by-step explanation:

You can use the vertical line test in order to prove if something is a function. If you place a vertical line on the graph and it intersects more than one point on the x-axis, it is not a function. Functions do not have overlapping x variables.

3 0

2 years ago

A rectangular piece of land requires 157 1/2 meters of fencing. If the length is 30 m less than the width, find the dimensions.

oksano4ka [1.4K]

2L+2W=157.5
L=W-30
2(W-30)+2W=157.5
2W-60+2W=157.5
+60 +60
4w=217.5
W=54.4(.37 rounded to nearest tenth)
L=24.4

7 0

2 years ago