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Paha777 [63]
2 years ago
5

Type the correct answer in the box. Spell all words correctly.

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
7 0

Answer:

product

Step-by-step explanation:

the solution or answer to a multiplication problem is a product.

hope this helps have a good day and stay safe :)

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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)

or

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.

or

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
Many major-league baseball pitchers can throw the ball at 90 miles per hour. At that speed, how long does it take a pitch to tra
Nadya [2.5K]

To solve this problem, we must first convert the distance into miles:

distance = 60 ft (1 mile / 5280 ft) + 6 inches (1 foot / 12 inches) (1 mile / 5280 ft)

distance = 0.0114583 mile

 

To calculate for time:

time = distance / speed

time = 0.0114583 mile / (90 miles / 3600 seconds)

time = 0.458 seconds

<span>time = 0.46 seconds</span>

7 0
2 years ago
Read 2 more answers
The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area aff
Karolina [17]

The correct statement about the earthquake in the state is option c. State A had approximately 3,362 more earthquakes than State B.

<h3>How to solve for the earthquake in the state A</h3>

we have x/y = 0.00299

y = 163696

To solve for x we have

163696 * 0.00299

= 4895 earthquakes

<h3>Next we have to solve for earth quakes in state B</h3>

x = 0.1402 x 10931

= 1533

Next we have to find the difference

4895 - 1533 = 3362 earthquakes.

We have to conclude that state A has 3362 earthquakes more than B. Hence the answer is c.

<h3 />

Read more on seismic activity here:

brainly.com/question/13017813?referrer=searchResults

#SPJ1

Complete question

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density.

Which statement about the number of earthquakes the states had for the given time span is true?

State A had approximately 1,533 more earthquakes than State B.

State B had approximately 1,533 more earthquakes than State A.

State A had approximately 3,362 more earthquakes than State B.

State B had approximately 3,362 more earthquakes than State A.

8 0
1 year ago
Please help this is due in 10 minutes
mafiozo [28]

Answer:

the answer is 4.

4 0
2 years ago
Find the equation of the line using the given information.
Dominik [7]

Answer:

x 1 = -3  

x2 = -3

y1 = 0

y2 = 5

The slope of that equation is infinite and the equation is a perfectly vertical line at x = -3.

So, the equation is x = -3.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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