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2 years ago

A circular running track is 1/4 of a mile long Elena runs this track completing each lap in 1/20 of an hour what is her speed

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

3 0

Answer:

The speed is equal to $5\frac{mi}{h}$

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x------> the distance in miles

y-----> the time in hours

s----> the speed in mph

$s=\frac{x}{y}$

In this problem we have

$x=(1/4)\ mi$

$y=(1/20)\ h$

substitute

$s=\frac{(1/4)}{(1/20)}=20/4=5\frac{mi}{h}$

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Serga [27]

-4 (x - 5) + 3 (a - 7)

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Second, simplify. / Your problem should look like: -4x + 3a - 1

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3 years ago

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Eva8 [605]

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2 years ago

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A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's

Dominik [7]

Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

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Hence the maximum height the dolphin jumps is 100feet

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2 years ago

In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by eval

Maslowich

In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by evaluating the expression

$d= \sqrt{12h}$

We are given the height h of a person from surface of sea level to be 350 m and we are to find the the distance to horizon d. Using the value in above expression we get:

$d= \sqrt{12*350}=64.81$

Therefore, the approximate distance to the horizon for the person will be 64.81 km

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2 years ago

The pair of figures to the right are similar. what is the ratio of the perimeters and the ratio of the areas?

marissa [1.9K]

Answer:

the ratio of perimeters is 3/5

the ratio of areas is 9/25

Step-by-step explanation:

first we divide the given sides of both figures

perimeter=side 1/side 2

=15/25

p=3/5

to find the ratios of the area

=(side 1/side 2)^2

=(3/5)^2

=9/25

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1 year ago