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mrs_skeptik [129]
3 years ago
10

Dante bought a new graduated cylinder for his chemistry class. It holds 1,345.6 milliliters of liquid. If the cylinder has a rad

ius of 5.8 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)
a.116 cm
b.40 cm
c.53,824 cm
d.232 cm
Mathematics
1 answer:
pentagon [3]3 years ago
7 0
The formula for a cylinder's volume  is
V = π r² h
V = 1345.6
π = 3.14
r = 5.8 cm

1345.6 = 3.14 * 5.8^2 h Multiply 3.14 and 5.8^2 together.
1345.6 = 105.6 h  Divide by 105.6
1345.6 / 105.6 = h
h = 12.73 cm <<<< answer.
 I don't see anything wrong with what I've done but I don't see the answer anywhere. Estimating 1345 can be rounded to 1300. 
pi * 5.8^2 = 3 * 35 = 105 which we could round to 100.

1300 / 100 about = 13 So the answer should be in the region of 100.

I cannot see any reason to believe there is an error. If there is something that has not been copied correctly, I'd like to know what it is.

 
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I know it’s a lot to ask but please show your work so I know how to do it. Thank you!
jonny [76]

Answer:

The answer to your question is below

Step-by-step explanation:

Use trigonometric functions to find x

13.  cos 40 = 5/x

     x = 5 / cos 40

     x = 5 / 0.766

     x = 6.5

14. tan 25 = x/9

     x = 9tan 25

     x = 9(0.466)

     x = 4.2

15.- cos 65 = x/12

      x = 12 cos 65

      x = 12 (0.423)

      x = 5.1

16.- sin 32 = 15/x

      x = 15 / sin 32

      x = 15 / 0.53

      x = 28.3

17.- tan 55 = 20 / x

      x = 20 / tan 55

      x = 20 / 1.42

      x = 14

18.- sin31 = x / 18

     x = 18 sin 31

     x = 18 (0.52)

     x = 9.3

8 0
3 years ago
Find the measure of the largest angle in ABC if a = 12, b = 8 and c = 13.
Papessa [141]

Answer:

C=78.28^{\circ \:}

Step-by-step explanation:

We are given a triangle

whose sides are

a=12

b=8

c=13

Since, c is largest among them

So, angle C must be largest angle

we can find angle C

we can use law of cosine formula

cos(C)=\frac{a^2+b^2-c^2}{2ab}

now, we can plug values

cos(C)=\frac{12^2+8^2-13^2}{2\times 12\times 8}

cos(C)=\frac{13}{64}

now, we can find angle

we get

C=78.28^{\circ \:}

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Answer:

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Step-by-step explanation:

If we graph this we see that the line goes over the y-axis at (0,0.333)

*I use desmos graphing calculator*

6 0
3 years ago
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Please Answer ASAP
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