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2 years ago

Use prime factorization to reduce the fraction 36/180

Mathematics

1 answer:

laila [671]2 years ago

5 0

Answer:

Step-by-step explanation:

36 = 6* 6 = 2* 3 * 2* 3 = 2*2*3*3

180 = 2 * 2 * 3 * 3 * 5 = 2 * 2 * 3*3*5

$\frac{36}{180}= \frac{2*2*3*3}{2*2*3*3*5} = \frac{1}{5}$

Factors that are common will be cancelled

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Find the quotient. Write your answer as a decimal. 12.42 divided by (-4.8) =

MakcuM [25]

Answer:

Multiply the divisor by a power of 10 to make it a whole number.

Multiply the dividend by the same power of 10. Place the decimal point in the quotient.

Divide the dividend by the whole-number divisor to find the quotient.

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2 years ago

£99 is shared in the ratio 6 : 5 What is the larger share?

nordsb [41]

Answer:

Step-by-step explanation:

6x + 5x = 99

11x = 99

x=99/11

x=9

6x = 6x9 = 54

5x = 5x9 = 45

ans: 54

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2 years ago

The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

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1 year ago

Helppppppppppppp ASAP

Ivan

The formula for N choose K is given as:

C(n, k)= $\frac{n!}{[k!(n-k)!] }$

Where,

n is the total numbers.

k is the number of the selected item.

Options C is correct.

6 0

2 years ago

Read 2 more answers

Find the dimensions of the rectangle

hoa [83]

(a) The sum of length and width is half the perimeter, so the breadth in terms of length (x) in cm will be
.. breadth = 34 -x

(b) Then the expression for the area (in cm^2) is
.. area = length*breadth
.. 253 = (x)(34 -x)
.. x^2 -34x +253 = 0 . . . . . subtract the right side, eliminate parentheses
.. (x -11)(x -23) = 0 . . . . . . . factor
.. x = 11 or 23

The dimensions of the rectangle are 11 cm by 23 cm.

7 0

2 years ago