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sattari [20]
3 years ago
6

64/9 to a mixed number

Mathematics
1 answer:
Verizon [17]3 years ago
5 0
\dfrac{64}{9}=7\dfrac{1}{9}
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A sector of a circle has an arc length of pi cm and a central angle of pi over 6 radians. What is the area of the sector?
liberstina [14]

Answer:

Area of sector is 6pi cm^2

Step-by-step explanation:

Mathematically pi radians is 180 degrees

thus pi/6 radians is 180/6 = 30 degrees

The formula for the length of an arc is;

theta/360 * 2 * pi * r

where theta in this case is 30 degrees

And the arc length is pi

so we have

30/360 * 2 * pi * r = pi

30/360 * 2 * r = 1

60r = 360

r = 360/60

r = 6 cm

Now the area of a sector is;

theta/360 * pi * r^2

30/360 * pi * 36

= 6pi cm^2

4 0
2 years ago
Write a word problem whose solution is (-70)=70.
vivado [14]

Ans i trued

Step-by-step explanation:

4 0
3 years ago
If f(x)=x-3, g(x)=x^2+1 and h(x) = -4x+1 , find f(g(2))?
natka813 [3]
F(g(2))
g(2)=2^2+1=4+1=5
f(5)=5-3=2
f(g(2))=2
8 0
3 years ago
Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.
ivann1987 [24]

Answer:

The missing dimension, radius = 6.00 m

Step-by-step explanation:

We are given the following things:

Height of cylinder, h  = 15 m

Radius of cylinder, r = z m (Labelled as z)

Volume of cylinder, V = 1696.5\ m^{3}

Please refer to the image attached for the dimensions of cylinder as given.

We know that the volume of a cylinder can be given as:

V = \pi r^{2} h

Where r is the radius of cylinder

h is the height of cylinder

Putting the values of V, r \text{ and } h:

1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m

Hence, The missing dimension, radius = 6.00 m

6 0
3 years ago
What can you do when the unit prices for two comparable items are listed using different units of measure? a. The secondary unit
quester [9]

Answer:

Answer is C on edge

Step-by-step explanation:

Trust me

6 0
3 years ago
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