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kkurt [141]
3 years ago
10

Write the recurring decimal 0.256 as a fraction in its simplest form

Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0

Answer:

\frac{256}{999}

Step-by-step explanation:

0.256256256...

Set up two equations:

x = .256256...

1000x = 256.256256...

Subtract them:

1000x = 256.256256... -  x = .256256... =

999x = 256

Solve for x:

999x = 256

x = 256/999

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The area of the figure
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[(4+6)x6]÷2-pie(2)^2

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3 years ago
Find the surface areas of the figures below. I don't need the work, just the answers.
kow [346]

Hello!

The surface area of a sphere is found by using the formula: SA = 4πr².

Figure 1

In the first figure, the radius is given which is 18 meters. With that, we can substitute the value of the radius into the formula and solve.

SA = 4π(18)²

SA = 4(324)π

SA = 1296π, 4071.50 (multiplied by π), 4069.44 (multiplied by 3.14)

Therefore, the surface area of figure one is 1296π m².

Figure 2

In the second figure, the diameter of the circle is given. The radius is half the diameter, so to find the radius, you need to divide the diameter by 2.

14 mm / 2 = 7 mm

With that, we can find the surface area of figure two, using the formula.

SA = 4π(7)²

SA = 4(49)π

SA = 196π, 615.75 (multiplied by π), 615.44 (multiplied by 3.14)

Therefore, the surface area of figure two is 196π mm².

3 0
4 years ago
the average age of 5 students is 9yrs out of them the ages of 4 students are 5,7,8,and 15yrs what is the age of remaining studen
valentinak56 [21]

Answer:

Step-by-step explanation:

Keep in mind that to find the average they would do:

Average = Sum of students' ages / number of students

So to solve this question we should firstly find the sum of all their ages.

To do this you multiply 5 by 9 = 45.

This means 45 is the sum of all 5 students' ages.

Next you are given four students have ages 5 , 7 , 8 and 15.

The sum of their ages are: 5 + 7 + 8 + 15 = 35

This means that the final student has age 45 - 35 = 10 years.

8 0
3 years ago
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