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3 years ago

A cylinder has a radius of 4 mm and a height of 6 mm. What is the volume to nearest whole number? Use 3.14 for pi.

Mathematics

1 answer:

zaharov [31]3 years ago

7 0

Radius=4mm

Height=6mm

Volume of cylinder = pir²h

3.14*4*4*6

= 301.44mm³

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How many even k-digit numbers can be constructed out of the digits 3, 4, 5, 6, and 7?

nordsb [41]

Answer:

A. 1562 numbers , B. 130 numbers

Step-by-step explanation:

<u>A)</u> Using same digit again

1 digit nos = 2 ( ie 4 , 6 )

2 digit nos = 5 (ie any no) x 2 ( ie 4 ,6 )

Similarly

3 digit nos = 5 x 5 x 2

4 digit nos = 5 x 5 x 5 x 2

5 digit nos = 5 x 5 x 5 x 5 x 2

Adding all 5 equations

Total = 2 + 10 + 50 + 250 + 1250 = 1562

<u>B)</u> Cant use a digit more than once

1 digit nos = 2 ( ie 4 , 6 )

2 digit nos = 4 ( ie any no other than 4 or 6) x 2 ( ie 4 , 6 )

Similarly

3 digit nos = 4 x 3 x 2

4 digit nos = 4 x 3 x 2 x 2

5 digit nos = 4 x 3 x 2 x 1 x 2

Adding all five equations

Total = 2 + 8 + 24 + 48 + 48 = 130

6 0

3 years ago

The legs of a right triangle are 10 and 12. What is the length of the hypotenuse in simplest radical form?

Firlakuza [10]

Answer:

2 * sqrt(61)

Step-by-step explanation:

a = 10

b = 12

c = ?

c^2 = a^2 + b^2

c^2 = 10^2 + 12^2

c^2 = 100 + 144

c^2 = 244

c^2 = 4 * 61

sqrt(c^2) = sqrt(4) * sqrt(61)

c = 2 * sqrt(61)

4 0

3 years ago

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Pls answer 3/ 5 + 2 = 2 /3

Zinaida [17]

Answer:

3/5+2 does not equal 2/3

Step-by-step explanation:

Hope this helps!

4 0

3 years ago

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Help please

tester [92]

Answer:

64y² - 81

Step-by-step explanation:

(8y +9)(8y - 9)

64y² - 72y + 72y - 81

64y² - 81

6 0

3 years ago

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Need help with this question quick. Pre calculus question

Sholpan [36]

Answer: -56/65

sin α = 4/5 => cos α = 3/5 (because 0 < α < pi/2)

cos β = -12/13 ⇒ sin β = 5/13 (because pi/2 < β < pi)

we have:

cos(α + β) = cosα.cosβ - sinα.sinβ = $\frac{3}{5}.\frac{-12}{13}-\frac{4}{5}.\frac{5}{13}=\frac{-56}{65}$

Step-by-step explanation:

8 0

3 years ago