2 years ago

My cat weighs 80 N. The area of the bottom of her foot is appproximatly 0.0045 m(squared)

Mathematics

1 answer:

Basile [38]2 years ago

8 0

Answer:

P = F / A = 80 N / (0.0045 m^2) = 17778 N/m^2

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Use the method in the Example to find the square roots of 1 + √3i

kiruha [24]

Answer:

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

Step-by-step explanation:

Given

z = 1 + √3 i

Let $\sqrt{1+\sqrt(3) i}=p+iq$

Squaring both sides

$1+\sqrt(3) i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$1=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

√3=2pq

$q=\frac{\sqrt{3}}{2p}$

Substitute q in equation (1)

$1=p^2-(\frac{\sqrt{3}}{2p})^2$

$p^4-p^2-0.75=0$

Let $x=p^2$

$x^2-x-0.75=0$

$x=\dfrac{1\pm \sqrt{1^2+4\times 0.75}}{2}$

$x=\frac{1\pm 4}{2}$

we take only Positive value because $p^2=x$

x=2.5

$p^2=2.5$

thus $p=\pm 1.58$

$q=\pm 0.548$

thus,

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

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3 years ago

In a group of 50 patrons, 18 patrons like lattes, 16 patrons like espressos, and 8 patrons like both coffee drinks. How many pat

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Add the 18, 16, and 8 together
Then subtract that number from 50.

18+16+8=42
50-42=8

So, 8 patrons don't like either.

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Which is the most accurate way to estimate 51% of 57?

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Multiply 0.57 by 51
=29.07

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The world's smallest plane has a length of 12 feet and the world's longest plane has a length of 302 feet. Write an absolute val

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Answer:

| 157 +/- 145 |

Step-by-step explanation:

302-12 = 290 total range

290/2 = 145 absolute value range

| 157 +/- 145 |

The two answers to that are 12 and 301

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Consider the function y = cos (x + pi/6). Which of the following is true?

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The answer would be A. There is a phase shift to the left. Because you are adding pi/6.

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