What is (5-sqrt of 2)(3-sqrt of 2)

Answers

Answer 1
Answer: then the answer is 17 minus 8 times the square root of 2, or 5.68629

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The ratio of men to women in a certain factory is 3 to 4. There are 222 men. How many workers are there?

Answers

The ratio of men to women in a certain factory = 3:4
The total number of men in the factory = 222
Let us assume the common ratio to be = x
Then
3x = 222
x = 222/3
  = 74
Then
The total number of women workers in the factory = 4 * 74
                                                                                 = 296
So
The total number of workers in the factory = 296 + 222
                                                                    = 518
From the above deduction we can easily conclude that there are a total of 518 workers in the factory.

If the time is 4:25 am what is the time that is 9 hours and 40 minutes before the time is shown

Answers

Count 9 hours back. 4:25am - 9 hours = 7:25pm.
Count 40 minutes back. 7:25pm - 40 minutes = 6:45pm.
Answer = 6:45pm

The lateral area of a cone is 500 pi cm.^2. The radius is 50 cm. Find the slant height to the nearest tentha. 10 cm
b. 9.1 cm
c. 14.2 cm
d. 11.2 cm

Answers

The answer is a. 10 cm

The lateral area (LA) of the cone can be expressed as:
LA = π * r * l
r - the radius of the cone
l - slant height of the cone 

It is given:
l = ?
r = 50 cm
LA = 500π cm²

Let's replace these in the equation for the lateral area of the cone:
500π = π * 50 * l
500π = 50π * l
⇒ l = 500π/50π
    l = 10 cm

How do i write a fraction or a mixed number as a decimal?

Answers

A decimal is a number divided by 10: 0.x = x/10, whatever the x number might be. If the "decimal" has more digits, then is divided by 100, 1000, and so forth: 0.0y = y/100, 0.00z = z/1000

So the trick for a mixed number to be written as a decimal is first to write the mixed number as a fraction, then, when you have a fraction, you need to make the denominator of the fraction equal to 10, 100, 1000, 10000, etc, and then you have it done.

For example, 4/25 as decimal is:
(4/25) = (4*4)/(25*4)
= 16/100, and that is = 0.16

Rationalize the denominator of the fraction and enter the new denominator below.8/2-√12

Answers

(8)/(2-√(12))=(8)/(2-√(4\cdot3))=(8)/(2-2\sqrt3)=(8)/(2(1-\sqrt3))=(4)/(1-\sqrt3)\n\n(4)/(1-\sqrt3)\cdot(1+\sqrt3)/(1+\sqrt3)=(4(1+\sqrt3))/(1^2-(\sqrt3)^2)=(4(1+\sqrt3))/(1-3)=(4(1+\sqrt3))/(-2)=-2(1+\sqrt3)}\n\n=-2-2\sqrt3



if\ (8)/(2)-√(12)=4-√(4\cdot3)=4-2\sqrt3
(8)/(2-√(12))\n (8(2+√(12)))/(4-12)=\n (8(2+√(12)))/(-8)=\n -(2+√(12)})=\n -2-√(12)=\n-2-2\sqrt3

The parallelogram shown below has an area of 35 units2.7
6
h
Find the missing height.
h
units

Answers

the height is 5 becuase if the area is 35 that means the length is 7 so you would divide and get 5