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3 years ago

Find the product of 2/3 x 2/3

Mathematics

1 answer:

Rudik [331]3 years ago

5 0

Answer: 4/9

Step-by-step explanation: To multiply fractions, first multiply across the numerators, then multiply across across the denominators.

So here, we have 2 · 2 which is 4 and 3 · 3 which is 9.

So we have 4/9 which is in lowest terms.

This means that 2/3 · 2/3 is 4/9.

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Find the value of a and b if root3-1/root3+1+ root3+1/root3-1=a+root3 b

Digiron [165]

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : $\dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b$

To find, The value of a and b

Solution,

Solving LHS of the given equation,

$\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b$

Since,

$(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2$

So,

$\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b$

$4+0=a+\sqrt 3 b$

On comparing we get :

a = 4 and b = 0

4 0

3 years ago

Find the measure of the largest angle in ABC if a = 12, b = 8 and c = 13.

Papessa [141]

Answer:

$C=78.28^{\circ \:}$

Step-by-step explanation:

We are given a triangle

whose sides are

a=12

b=8

c=13

Since, c is largest among them

So, angle C must be largest angle

we can find angle C

we can use law of cosine formula

$cos(C)=\frac{a^2+b^2-c^2}{2ab}$

now, we can plug values

$cos(C)=\frac{12^2+8^2-13^2}{2\times 12\times 8}$

$cos(C)=\frac{13}{64}$

now, we can find angle

we get

$C=78.28^{\circ \:}$

5 0

2 years ago

If f(x) = x^2 +1, and g(x) = x - 2, find [fºg)(x).<br> PLEASE HELP

dem82 [27]

Answer:

Step-by-step explanation:

8 0

2 years ago

Help me pleasee !!!!

Daniel [21]

Answer:

here (edit I made a mistake)

Step-by-step explanation:

9) $y=\frac{3}{5} x +5$

10) y = x - 3

11) $y=-\frac{3}{5} x - 3$

12) $y=\frac{5}{4} x + 2$

these are the slop int forms, my bad...

sorry

3 0

2 years ago

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balu736 [363]

Answer:

Step-by-step explanation:

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2 years ago

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