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aleksklad [387]
2 years ago
7

A mouse runs across a 5.56 m kitchen floor in 3.42 seconds.What is the velocity of the mouse?

Mathematics
1 answer:
Julli [10]2 years ago
7 0

Answer:

v = 1.62 m/s

Step-by-step explanation:

Given that,

Distance covered by the mouse is 5.56 m is in 3.42 seconds.

We need to find the velocity of the mouse. It is equal to the total distance covered divided by time taken. So,

v=\dfrac{d}{t}\\\\v=\dfrac{5.56\ m}{3.42\ s}\\\\v=1.62\ m/s

So, the velocity is 1.62 m/s.

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A triangle has points dallas, destination 1, and destination 2. the distance from dallas to destination 1 is 720 miles, and the
timurjin [86]

The distance from the second destination back to Dallas is 918 miles

<h3>Given</h3>

A triangle has points Dallas, destination 1, and destination 2.

The distance from Dallas to destination 1 is 720 miles

The distance from destination 1 and destination 2 is 290 miles

the angle formed between Dallas, destination 1, and destination 2 is 125 degrees.

He moves from destination 1 to Dallas then destination 2

We could use cosine law to find the distance

<h3>What is cosine law?</h3>

The Law of cosines or cosine law means the relation between the length of sides of a triangle with respect to the cosine of its angle. It is also called the cosine rule

b^{2}=a^2+c^2-2ac*cosB

=290^2+720^2-2*720*290*cos125

=84100+518400-417600 cos 125

=602500-417600*(-0.5735)

=602500+239493.6

=841993.6

b=917.6 miles

≅918 miles

The distance is 918 miles  he will fly from the second destination back to Dallas

Learn more on Distance here:

brainly.com/question/23183268

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5 0
1 year ago
The length of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the funct
IgorC [24]
A= l x w
5x * 2x^2 - 4x + 13
10x^3 - 20x^2 + 65x
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3 years ago
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Answer asap plz
babunello [35]
The circle graph is usually used to show proportions of a whole.

The Venn Diagram is used to represent the relationship between two or more collection of objects.

The double bar graph is used to compare two variables over a period of time.

The line graph is used to compare the trends of a variable over a period of time.

Therefore, the <span>graphical representation that would best display the number of points a home team and a visitor’s team scored in each game this season is the double bar graph.</span>
3 0
3 years ago
3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall
Katen [24]

Answer:

The volume of the toy is V=5.23\ ft^3

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

V=\frac{2}{3}\pi r^{3}

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

D=2\ ft

r=2/2=1\ ft ----> the radius is half the diameter

substitute

V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3

step 2

Find the volume of the cone

The volume of the cone is given by

V=\frac{1}{3}\pi r^{2}h

we know that

The radius of the cone is the same that the radius of the hemisphere

so

r=1\ ft

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

h=4-1=3\ ft

substitute the given values

V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

V=(\frac{2}{3} \pi+\pi)\ ft^3

V=(\frac{5}{3}\pi)\ ft^3

assume

\pi=3.14

V=\frac{5}{3}(3.14)=5.23\ ft^3

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3 years ago
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X is 19 and y is 84.
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