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Montano1993 [528]
3 years ago
10

Samuel filled the glasses shown below completely with water. The total amount of water that Samuel poured into the glasses is 60

cubic centimeters. What is the height of glass 1? Round your answer to the nearest tenth. (Use π = 3.14.)
Mathematics
1 answer:
Verizon [17]3 years ago
7 0

Glass 1 is in the form of cylinder and has a diameter of 4 cm (radius is 2 cm).

To calculate ­the height of the glass, we use the Volume formula for cylinder:

V = pi*r^2*h

Substituting known values:

60 cm^3 = 3.14 * (2 cm)^2 * h

Calculating for unknown variable, height (h):

h = 4.78 cm

Therefore the height of glass 1 is 4.78 cm.

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PLEASEE HELP!!
Alex777 [14]

Answer:

<h2>A)t=6.7</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • quadratic equation
  • quadratic equation word problems
  • solving quadratic
<h3>given:</h3>

h(t) = -4t² + 12t + 100

<h3>to solve:</h3>

t

<h3>tips and formulas:</h3>
  • <u>the</u><u> </u><u>Ball</u><u> </u><u>will</u><u> </u><u>hit </u><u>the</u><u> ground</u><u> </u><u>when</u><u> </u><u>the</u><u> height</u><u> is</u><u> </u><u>0</u>
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<h3>let's solve: </h3>

step - 1 :  \: define

- 4 {t}^{2}  + 12t + 100 = 0

step - 2 :  \\ divide \: both \: sides \: by \:  - 4

{t}^{2}  - 3t - 25 = 0

step - 3 :  \\ solve \: the \: quadratic

formula :  \\ x =  \frac{ - b± \sqrt{ {b}^{2} - 4ac }  }{2a}

define \: a ,b \: and \: c \\ which \: are \: 1, - 3 \: and \:  - 25 \: respectively

t =  \frac{ - ( - 3)± \sqrt{ {( - 3)}^{2} - 4.1. - 25 }  }{2.1}

t =  \frac{  3± \sqrt{ 9    + 100}  }{2}

t = \frac{3 +  \sqrt{ 109 } }{2}

t =  \frac{3  -  \sqrt{ 109 } }{2}

t = 6.7 \\ t =  - 3.7

as \: we \: know \: time \: cannot \: be \: negative

\huge \therefore \: t = 6.7

5 0
3 years ago
A 100 rupee note was changed to 10 and 5 rupee notes, 15 notes in all. How many of each notes?​
san4es73 [151]

Answer:

Total number of notes is 11.

Step-by-step explanation:

Value is 100 rupees…

5x + 20y = 100 and x + y = 11 are the two equations.

We can simplify…

5x + 20 y - 5x - 5y = 100 - 55 = 45

15y = 45 so y = 3

x = 11 - y = 8

So, we have 8 notes of 5 rupees denomination and 3 notes of 20 rupees denomination.

I hope it helps you.

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2 years ago
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The circumference of Circle F is 72 cm. What is the length of Arc DE (the minor arc)?
Tom [10]

You need to first set up the equation:

It would look like 90 divided by 360 multiplied by the given circumference which is 72 cm.

So 90 / 360 x 72

Simply the fraction above, it will give us:

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So the answer would be 18 cm that is the length of DE (minor arc)

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3 years ago
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Please help with geometry
Bumek [7]
A. 19. You have to set them up equal to each other. So, 6x-2=4x+36. You then subtract the 4x from the 6x, and add 2 to 36. Which leaves you with 2x=38. Divide and you get 19! Hope this helps
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