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1 year ago

Write the fractions 22/100 and 22/1000 as decimal how are the values of the digit 2 related in each of the decimals

Mathematics

1 answer:

Nana76 [90]1 year ago

4 0

Based on the calculation below, 22/100 = 0.22 and 22/1000 = 0.022.

The values of the digit 2 are related in that 0.22 is 10 times greater than 0.022 which after.

<h3>How do we write fractions in decimals?</h3>

The two fractions 22/100 and 22/1000 can be written as decimal as follows:

22/100 = 0.22

22/1000 = 0.022

From the above calculation, It can be observed that the values of the digit 2 are related in that the two numbers are that they are provided in a descending sequence with 0.22 being 10 times greater than 0.022 which after.

Learn more about decimal here: brainly.com/question/28338004.

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The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

2 years ago

Which of the following equations describe the line shown below? <br><br>Check all that apply.

WITCHER [35]

Here, first we need to calculate the slope of the line,
Here, Coordinates = (-6, 2) (-1, -4)
m = y2 - y1 / x2-x1
m = 2 + 4 / -6 + 1
m = 6/-5
m = -6/5

Now, Take first coordinate: y - 2 = -6/5 (x + 6)
Second coordinate: y + 4 = -6/5 (x + 1)

In short, Your Answers would be Option C & D

Hope this helps!

6 0

2 years ago

The diameter of a sphere is 42 centimeters. find the surface area to the nearest tenth

Mademuasel [1]

A ~ 5541.77cm squared

8 0

2 years ago

The 6th term of a gp is -2/29,and it's first term is 18.what is the common ratio

Ymorist [56]

Answer:

-0.329

Step-by-step explanation:

The formula for Geometric ratio is

an = ar^n - 1

Where

a = First term = 18

r = Common ratio = ?

n = Number of term= 6

Hence

a6 = 18 × r^6-1

From the question

a6 = -2/29

Hence:

-2/29 = 18 × r^6-1

-2/29 = 18 × r⁵

Divide both sides by 18

-2/29 ÷ 18 = 18 × r⁵/18

-2/29 × 1/18 = r⁵

r⁵ = -1/261

Take the fifth root of both sides

⁵√(r⁵) = ⁵√(-1/261)

r = -0.3286032834

Approximately = -0.329

Therefore, Common ratio = -0.329

7 0

2 years ago

Multiples of 3 and 4

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

4 0

2 years ago