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julia-pushkina [17]
3 years ago
6

The can is 12cm high and 8cm in diameter. Using formula V=TT r2h, how much is in the can

Mathematics
1 answer:
scoray [572]3 years ago
4 0
The formula you have given here is for the volume of a cylinder. It should read V =  \pi r^{2} h.
First, to find r, the radius, divide the diameter by two (since the radius is the distance from the circumference to the centre and the diameter is the distance from any point on the circumference to the opposite point (through the centre))

r = 8/2 = 4

Now we can calculate this.
V =  \pi *4^{2}*12 =  \pi * 16 * 12 = 603.185... \\ 
V = 603 cm^{3}

If your answer needs to be in litres, one cubic centimetre = one millilitre.

603 cm3 = 603mL = 0.603 L
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Half of Robert's piece of wire is equal to 2 thirds of Maria's wire. The total length of their wires is 10 feet. How much longer
Yuliya22 [10]

Answer:

let x be the Robert piece

y Maria's piece

x+y=10

0,5*x ( half of Robert piece)= 2/3 y( 2 thirds)

2 equations then

x+y= 10 then x= 10-y

0,5x= 0,67 y  then we replace x by 10-y on the second equation and it gives

0,5(10-y)= 5-0,5y=0,67y

5= 1,17 y so y= 4,27    and then x= 10-y= 5,73

the question asks how much Robert wire is longer than Maria's wire

so we get x-y= 1,46


6 0
3 years ago
Read 2 more answers
This parabola opens to the left. P. O A. True O B. False
sesenic [268]

Answer:

True.

Explanation:

We take the analogy from the graph of y = ax^2

When y = x^2, the parabola opens upward (towards the positive y-axis). However, when the parabola is y = -x^2, it opens downward (towards the negative y-axis).

In a similar way, when we have x = ay^2, the parabola opens towards the positive x-axis ( towards the right). However, if we have x = -ay^2, then the parabola opens towards the negative x-axis ( towards the left).

Therefore, by comparison, x = - 1/8 y^2, opens to the left, and the correct option to choose is 'True'.

4 0
1 year ago
Round 99.20 to the nearest ten
rewona [7]
I believe it would be 100 because the 9 in 99 would be the rounding spot and if you look to the right of it its another 9 which is greater than five so that would round up to 100
7 0
3 years ago
Read 2 more answers
A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.
Slav-nsk [51]

Answer:

Part 1) The exact value of the arc length is \frac{25}{6}\pi \ in

Part 2) The approximate value of the arc length is 13.1\ in

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

C=2\pi r

we have

r=5\ in

substitute

C=2\pi (5)

C=10\pi\ in

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in

step 3

Find the approximate value of the arc length

To find the approximate value, assume

\pi =3.14

substitute

\frac{25}{6}(3.14)=13.1\ in

7 0
3 years ago
Write 11•47 using the distributive property. Then simplify.
Dennis_Churaev [7]
Distributive property :

a (b+c) = ab + bc

Try writing 47 = 50-3  or 47 = 40+7.

11 x 47 = 11 x (50-3) = 11 x 50 - 11 x 3 = 550 - 33 =  517

or 

11 x 47 =  11 x (40+7) = 11 x 40 + 11 x 7 = 440 + 77 = 517
6 0
3 years ago
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