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BlackZzzverrR [31]
3 years ago
11

“76 is 60% of what?” Help!

Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

126.67

      Hope this helps!

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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

3 0
3 years ago
4. Two unbiased coins are tossed. Calculate the probability that
diamong [38]

Answer:

Step-by-step explanation:

3 coins make for 8 possible outcomes {HHH,HHT,HTH,THH,HTT,THT,TTH,TTT}

4 Possible outcomes conatin 2 or more heads.

Probability (At least 2 Heads) = Favourable outcomes/Total possible outcomes

                                               = 4/8 = 1/2 = 0.5 (50%)

7 0
3 years ago
Read 2 more answers
upon his death, mr. moneybags left 1/2 of his estate to his wife 1/8 to each of his two children, 1/10 to each of his grandchild
stiks02 [169]
The picture looks confusing.
You divide 10000 by 1/10 then times that by 2 which equals 200,000 then divide that by 1/8 which is 160,000 then by 1/2 and you get 3,200,000

6 0
3 years ago
Work out the surface area of the solid cuboid<br> L=5cm<br> W=2cm<br> H=5.3cm
Ludmilka [50]

Answer:

A = 94.2 cm²

Step-by-step explanation:

Given that,

Length, l = 5 cm

Width, b = 2 cm

Height, h = 5.3 cm

We need to find the surface area of the solid cuboid.

The formula for the surface area of the sold cubiod is given by :

A = 2(lb+bh+hl)

Substitute the values in the above formu;a

A = 2(5(2)+2(5.3)+(5.3)(5))

= 2(10+10.6+26.5)

= 2(47.1)

= 94.2 cm²

Hence, the required surface area is 94.2 cm².

3 0
3 years ago
Look what is the equation ​
NNADVOKAT [17]
Nothing is showing up for me can u type it or is it too much
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3 years ago
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