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3 years ago

Which is bigger: 3/8 or 0.38. Can you tell me how to work it out?please!

Mathematics

1 answer:

Usimov [2.4K]3 years ago

7 0

You do 3 x 8 / 100 to work out 3/8 as a decimal. So its 0.24. 0.38 is bigger

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Rationalise the denominator of (12)/(\sqrt(10)+\sqrt(7)+\sqrt(3))

jasenka [17]

Answer:

$\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }$

Step-by-step explanation:

$\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }$

$=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right) \right) }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}$

$=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}$

$\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{10-(10+2\sqrt{21} )} }$

$=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{-2\sqrt{21} }$

$=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} }$

$=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }$

$=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{21 }$

$=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63} }{21 }$

$=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }$

<u><em>Remark</em></u>:

You can simplify moreover if you want to.

5 0

2 years ago

Which angles below are complementary?

tigry1 [53]

9514 1404 393

Answer:

∠KXN and ∠QXT

Step-by-step explanation:

The measure of each angle is the difference of the scale values that the rays intercept. (The same scale needs to be used for each ray.) Of course, complementary angles have a sum of 90°.

Here, we'll refer to angle aXb as "ab".

NP = 95 -35 = 60

PQ = 35 -20 = 15 . . . not complementary to NP

KN = 165 -95 = 70

QT = 20 -0 = 20 . . . complementary to KN ⇒ your answer

JK = 180 -165 = 15

PQ = 35 -20 = 15 . . . not complementary to JK

JK = 15

NK = KN = 70 . . . not complementary to JK

6 0

2 years ago

Rajesh is working out the area of a circle with radius 10 he writes

Maru [420]

Answer:

He multiplied the radius by 2 instead of squaring it

7 0

2 years ago

Simplify the expression and combine like terms.

Alenkinab [10]

Answer:

5x + 16

Step-by-step explanation:

the first thing you do in this equation is to distribute the 2 into x + 6

you get

2x + 12 + 3x + 4 = ?

then you must put the 2x and the 3x together

5x + 12 + 4

and you can then add the 12 and 4

5x + 16

4 0

2 years ago

Complete the table and draw the graph

Neko [114]

Answer:

So the vaule of y is 7, 10 & 13

Step-by-step explanation:

Given that y = 3x+1 . So we can just substitute x-value into the equation :

Let x=2,

y = 3(2)+1

= 7

Let x=3,

y = 3(3)+1

= 10

Let x=4,

y = 3(4)+1

= 13

5 0

3 years ago