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3 years ago

Volume of cylinder pi 3.14 r 8mm h 42mm

Mathematics

1 answer:

ad-work [718]3 years ago

6 0

Answer:

V≈8.44×10-6m³

r Radius

h Height

Unit Conversion:

r=8×10-3m

h=0.042m

Solution

V=πr2h=π·8×10-32·0.042≈8.4446×10-6m³

Step-by-step explanation:

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Which values of x and y satisfy 2x − y = 7 and 3x − 2y = 5 simultaneously?

photoshop1234 [79]

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Multiply equation 1 by 2
This will give 4x-2y=14
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Plug back in to either equation, i will use equation 2
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3 years ago

Let P be the parabola with focus (0,4) and directrix y=x.Write an equation whose graph is a parabola with a vertical directrix t

prisoha [69]

Answer:

y²=4√2.x

Step-by-step explanation:

The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.

The distance between the focus and the directrix of the parabola P is

$\frac{ |0-4| }{\sqrt{(1)^{2}+(-1)^{2} } }$ = $\frac{4}{\sqrt{2} }$

{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by $\frac{ |ax1+by1+c| }{\sqrt{a^{2}+b^{2} } }$ }

Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax

{Since the parabola has vertical directrix}

Hence, the distance between focus and the directrix is 2a = $\frac{4}{\sqrt{2} }$ , {Two parabolas are congruent when the distances between their focus and the directrix are same}

⇒ a=√2

Therefore, the equation of the parabola is y²=4√2.x (Answer)

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3 years ago

What is the total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months?

melamori03 [73]

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3 years ago

Read 2 more answers

Maria invested a total of 31,000 in two account, first account earned a rate of 14%. How ever second account suffer a 10% loss i

Maslowich

Answer:the amount of money that Maria invested in the first account is $20000

the amount of money that Maria invested in the second account is $11000

Step-by-step explanation:

Let x represent the amount of money that Maria invested in the first account.

Let y represent the amount of money that Maria invested in the second account.

Maria invested a total of 31,000 in the two account. This means that

x + y = 31000

The first account earned a rate of 14%. This means that the amount earned on the first account is 14/100×x = 0.14x

However, the second account suffered a 10% loss in the same time. This means that the amount lost is

10/100×y = 0.1y

At the end of one year the total amount money gain 1,700. This means that

0.14x - 0.1y = 1700 - - - - --1

Substituting x = 31000 - y into equation 1, it becomes

0.14(31000 - y)- 0.1y = 1700

4340 - 0.14y - 0.1y = 1700

- 0.14y - 0.1y = 1700 - 4340

-0.24y = -2640

y = 2640/0.24 = 11000

x = 31000 - y = 31000 - 11000

x = 20000

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3 years ago

Which side in the figure on the right corresponds to the segment WU and what it the scale factor?

goblinko [34]

Answer:

WU corresponds with CD and the scale factor is 3

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2 years ago