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3 years ago

0.611111111. .. repeating equals Q. 12/19 b. 11/18 c. 13/20 d. 10/17

Mathematics

1 answer:

-Dominant- [34]3 years ago

7 0

Answer:

B. 11/18

Step-by-step explanation:

Solve using algebra.

x = 0.611111...

10x = 6.111111...

10x - x = 6.111111.. - 0.61111111..

9x = 5.5

x = 5.5/9

x = 11/18

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The volume of a cylinder of radius 3r and height 6r is given by TT(3r)2(6r). Simplify the expression.

OLga [1]

Answer: $\pi 36r^{2}$

Step-by-step explanation:

ALRIGHT ARE YOU READY FOR EPIC MATH TIME?

because i know i am. so lets get this bread.

WATCH: we have $\pi (3r)2(6r)$

interesting... that first character is called pi. maybe i should have said, "lets get this pi".

so now lets do some algebra. i am going to work from right to left. lets multiply 6r by 2. that gives us 12r. now we have... $\pi (3r)(12r)$

WE ARE MAKING EPIC PROGRESS, AREN'T WE?

lets multiply 12r by 3r. then we have....

$\pi 36r^{2}$

notice how i multiplied 12 by 3 and also r by r (which gives 36 and $r^{2}$ respectively)

so your simplified expression is: $\pi 36r^{2}$

6 0

3 years ago

Assume the readings on thermometers are normally distributed with a mean of 0degreesc and a standard deviation of 1.00degreesc.

Tanzania [10]

Let Z be the reading on thermometer. Z follows Standard Normal distribution with mean μ =0 and standard deviation σ=1

The probability that randomly selected thermometer reads greater than 2.07 is

P(z > 2.07) = 1 -P(z < 2.07)

Using z score table to find probability below z=2.07

P(Z < 2.07) = 0.9808

P(z > 2.07) = 1- 0.9808

P(z > 2.07) = 0.0192

The probability that a randomly selected thermometer reads greater than 2.07 is 0.0192

3 0

3 years ago

What is the number quotient and remainder for 6 / 27

inysia [295]

0 remainder of 6

Hope this helps

7 0

2 years ago

Read 2 more answers

In figure find the area of the red part.

larisa [96]

Step-by-step explanation:

Given : A rectangle 4 x 8 , a semicircle

Diagonal intersecting semicircle

To Find :Area of red part

<h3>Solution:</h3>

Angle AC make AB α = ∠BAC

tan α = BC/AB = 4/8 = 1/2

=> α = 26.565°

∠ECA = ∠BAC = α

EC = EF = 4

=> ∠CEF = 180° - 2α

∠AED = 45° as AE is diagonal of Square of side 4

=> ∠AEF + 180° - 2α + 45° = 180°

=> ∠AEF = 2α - 45° = 8.13°

in Left side area between square and circle is split in 2 Equal parts

(1/2) area - area AFG = area of Red part

in Left side area between square and circle = 4² - (1/4)π4²

= 3.4336 sq unit

half = 1.7168 sq unit

Now find area AFG = area ΔAEF - sector EGF

area ΔAEF

AE = 4√2 , EF = 4 angle = 8.13°

area ΔAEF = (1/2) 4√2 * 4 sin 8.13° = 1.6 sq unit

area sector EGF = (8.13/360)π4² = 1.135 sq unit

area AFG = 1.6 - 1.135 = 0.465 sq unit

Area of Red part = 1.7168 - 0.465 sq unit

= 1.2518 sq unit

= 1.252 sq unit

= 1.25 sq unit.

Hope this helps!!

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2 years ago

Read 2 more answers

Ella used 37.2 pounds of apples to make applesauce . She used one -tenth as a many pounds of sugar as pounds of apples . How man

sukhopar [10]

You would have to divide 37.2 by 10. The answer would be 3.72.

3 0

3 years ago