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2 years ago

Determine the length of the arc that subtends an angle of 2.8 radians at the centre of a circle with a radius 12cm.

Mathematics

1 answer:

Svetach [21]2 years ago

6 0

Answer:

B. 33.6 cm

Step-by-step explanation:

To find determine the length of an arc that subtends an angle of 2.8 radians at the centre of a circle with radius 12 cm, we will follow the steps below;

First write down the formula for calculating length of an arc

If the angle is measured in degree, then the formula for calculating the length of an arc is :

length of an arc = Ф/360 × 2πr

but if the angle is measured in radians, then the formula for calculating length of an arc will be:

length of an arc = r Ф

where r is the radius and Ф is the central angle in radians

In the case of the question given to us, the angle is given in radians, so we will use the second formula

angle Ф = 2.8

radius = 12 cm

length of an arc = r Ф

=12 × 2.8

=33.6

Length of the arc = 33.6 cm

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erastova [34]

Answer:

The height of the pyramid is $2.4\ ft$

Step-by-step explanation:

we know that

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we have

$V=20\ ft^{3}$

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3 years ago

A car is travelling at exactly 6 miles per hour and accelerates at a constant rate to exactly 65 miles per hour.

vichka [17]

Answer:

$14878.04878miles/hours^2$

Step-by-step explanation:

Let's find a solution by understanding the following:

The acceleration rate is defined as the change of velocity within a time interval, which can be written as:

$A=(Vf-Vi)/T$ where:

A=acceleration rate

Vf=final velocity

Vi=initial velocity

T=time required for passing from Vi to Vf.

Using the problem's data we have:

Vf=65miles/hour

Vi=6miles/hour

T=14.8seconds

Using the acceleration rate equation we have:

$A=(65miles/hour - 6miles/hour)/14.8seconds$ , but look that velocities use 'hours' unit while 'T' uses 'seconds'.

So we need to transform 14.8seconds into Xhours, as follows:

$X=(14.8seconds)*(1hours/60minutes)*(1minute/60seconds)$

$X=0.0041hours$

Using X=0.0041hours in the previous equation instead of 14.8seconds we have:

$A=(65miles/hour - 6miles/hour)/0.0041hours$

$A=(61miles/hour)/0.0041hours$

$A=(61miles)/(hour*0.0041hours)$

$A=61miles/0.0041hours^2$

$A=14878.04878miles/hours^2$

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3 years ago

Approximate the value of 5 π

olya-2409 [2.1K]

Answer with explanation:

→π is an Irrational Number.

→Decimal Representation of π is non terminating non repeating.

$\pi=\frac{\text{Circumference of Circle}}{\text{Diameter}}\\\\\pi =3.14\\\\ 5\pi =5 \times 3.14=15.70$

⇒5 π =15.70

8 0

2 years ago

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Eduardwww [97]

Answer:

i am highly sorry but there is no graph for me to help you with on this site :(

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3 years ago

A glass of water was seven- eighths of a liter. With a 6 liter jug, how many glasses could you pour? Do you have to multiply div

ivolga24 [154]

Let us suppose, we pour x glass of water.

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$x=\frac{6}{7/8} \\
\\
x=\frac{48}{7} \\
\\
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Hence, we can pour 7 glass of water. But the 7th glass is not full of water. It is partially full.

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2 years ago