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3 years ago

Why can 0.825 be written as a fraction explain

Mathematics

1 answer:

ale4655 [162]3 years ago

7 0

Answer:

It can be written as 825/1000. You can simplify this to get the simplest form which would be 33/40. All decimals are out of one, they are a part. When you first get a decimal, put the numbers such as 825 on top. The last number is in the thousandths place, so it is out of 1000. 1000 is your denominator. Your fraction is then 825/1000. From here you can simplify if possible.

Hope this helps ^-^

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Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?

Yuri [45]

Answer:

Option D. AC= 10 cm and CE= 5 cm

Step-by-step explanation:

From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.

From these similar triangles we know

$\frac{AB}{AD}=\frac{BC}{DE}=\frac{AC}{AE}$

$\frac{8}{12}=\frac{BC}{9}=\frac{AC}{AE}$

Therefore $\frac{AC}{AE}=\frac{8}{12}=\frac{2}{3}$

Or AC= $\frac{2}{3}AE$

Now from pythagoras theorem

AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm

Since we know side AC = $\frac{2}{3}AE$

= $\frac{2}{3}\times 15$

= 10 cm

Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm

8 0

3 years ago

CC=\frac{5}{9}(F - 32)

PSYCHO15rus [73]

The answer would be D I and II only

My work:
The only answer that has both statement I and statement II as true is D<span>, but if you have time and want to be absolutely thorough, you can also check to see if statement III is true </span>

5 0

2 years ago

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Find the distance from the point (-4, 4) to the line y=-2x+1 . Round your answer to the nearest tenth.

kati45 [8]

Answer:

5 units.

Step-by-step explanation:

In order to find the distance between the line y = -2x + 1 and the point (-4, 4), we need to find the position of the line at x = -4. Shortest distance between two objects is a straight line, right?

So y = -2(-4) + 1 = 9; (-4, 9).

Finding the distance between (-4, 4) and (-4, 9) gives us the answer of 5.

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3 years ago

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Evaluate each expression for the given value(s) of the variable(s). x-7;x=23

GaryK [48]

The answer is 16, you substitute the value of the variable into the equation and simplify

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2 years ago

Explain why any of the four operations placed between two terms 5 and -3 sqrt (8) will result in an irrational number

Gnoma [55]

Sum/difference:

Let

$x = 5 + (-3\sqrt{8}) = 5-3\sqrt{8}$

This means that

$3\sqrt{8} = 5-x \iff \sqrt{8} = \dfrac{5-x}{3}$

Now, assume that $x$ is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that $x$ was rational, which proves that the sum/difference of the two given terms was irrational

Multiplication/division:

The logic is actually the same: if we multiply the two terms we get

$x = -15\sqrt{8}$

if again we assume x to be rational, we have

$\sqrt{8} = -\dfrac{x}{15}$

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.

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2 years ago