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2 years ago

The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 15 minutes is

Mathematics

1 answer:

____ [38]2 years ago

8 0

Answer:

Step-by-step explanation:

In 60 minutes, minute hand completes 360

i.e., one rotation.

⇒ in 1 minute, minute hands completes

360

∘

Hence, in 5 minutes the angle covered is is 6×5=30

The angle of sector formed is 30

The area swept by the minute hand in 5 minutes=

360

×π×14×14

Using π=

, we get

The area swept by the minute hand in 5 minutes =

154

sq. cm

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If a sphere has a volume of 9198.1 in, what is the radius of the sphere?

KonstantinChe [14]

Answer:

Step-by-step explanation:

Volume to find radius: $(3\frac{V}{4\pi})^1^/^3$

Substitute: $(3\frac{9198.1}{4\pi})^1^/^3$

Solve: $(3(732.3))^1^/^3$

$2196.9^1^/^3$

13≈r

5 0

2 years ago

One pound of grass sead covers 400 square feet of field. How many pounds of seed is needed for the entire field? (round to the n

KengaRu [80]

Answer:

165

Step-by-step explanation: find the area or the field A=r^2

the radius is 290/2=145ft

A=145* 145* 3.14= 66018.5 sqr ft

66018.5 / 400= 165

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2 years ago

A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 7 m . If water is being pumped int

Wittaler [7]

The water level increases by 0.608 meters per minute when the water is 3.5 m deep

<h3>How to determine the rate?</h3>

The given parameters are:

Radius, r = 3
Height, h = 7
Rate in, V' = 4.3m^3/min

The relationship between the radius and height is:

r/h = 3/7

Make r the subject

r = 3h/7

The volume of a cone is;

$V = \frac 13\pi r^2h$

This gives

$V = \frac 13\pi (\frac{3h}{7})^2h$

Expand

$V = \frac{3h^3}{49}\pi$

Differentiate

$V' = \frac{9h^2}{49}\pi h'$

Make h' the subject

$h' = \frac{49}{9\pi h^2}V'$

When the water level is 3.5.

We have:

$h' = \frac{49}{9\pi * 3.5^2}V'$

Also, we have:

V' = 4.3

So, the equation becomes

$h' = \frac{49}{9\pi * 3.5^2} * 4.3$

Evaluate the products

$h' = \frac{210.7}{346.36}$

Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute

Read more about volumes at:

brainly.com/question/10373132

#SPJ1

7 0

1 year ago

Which phrase describes the variable expression y-5

ruslelena [56]

To translate y - 5 into words:

a number y is decreased by 5

i hope this helps!!

7 0

2 years ago

The perimeter of the isosceles ?ABC with the base BC is equal to 40 cm. Perimeter of the equilateral ?BCD is 45 cm. Find AB and

Juliette [100K]

Answer: AB = 12.5, BC = 15

Step-by-step explanation:

Perimeter of ΔBCD = BC + CD + BD. Since it is an isoceles triangle, then BC = CD = BD. So, Perimeter of ΔBCD = 3BC

3BC = 45

÷3 ÷3

BC = 15

Perimeter of ΔABC = AB + BC + AC. Since it is an isosceles triangle with BC as the base, then AB = AC. So, Perimeter of ΔABC = 2AB + BC

2AB + BC = 40

2AB + 15 = 40

-15 -15

2AB = 25

÷2 ÷2

AB = 12.5

7 0

3 years ago