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3 years ago

12

What is 10% of 10$ plz

2 answers:

Ksju [112]3 years ago

8 0

Answer:

1 dollar

Step-by-step explanation:

Hope this helps!

eduard3 years ago

3 0

Answer:

1 dollar

Step-by-step explanation:

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Giovanni went to Los Angeles,California for the summer to visit his cousins.He used a map of bus routes to get from the airport

zepelin [54]

You must convert 56 to cm comment on that answer and will help from there

5 0

3 years ago

Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)

Margaret [11]

(-7)*(2/5 + (-3/7))
= -14/5 + 3
=1/5

5 0

3 years ago

(1-i)^2 find 4 th root

sergiy2304 [10]

By de Moivre's theorem,

$1 - i = \sqrt2\,e^{-i\pi/4} \implies (1-i)^2 = 2\,e^{-i\pi/2}$

$\implies \sqrt[4]{(1 - i)^2} = \sqrt[4]{2}\,e^{i(2\pi k-\pi/2)/4} = \sqrt[4]{2}\,e^{i(4k-1)\pi/8}$

where $k\in\{0,1,2,3\}$ . The fourth roots of $(1-i)^2$ are then

$k = 0 \implies \sqrt[4]{2}\,e^{-i\pi/8}$

$k = 1 \implies \sqrt[4]{2}\,e^{i3\pi/8}$

$k = 2 \implies \sqrt[4]{2}\,e^{i7\pi/8}$

$k = 3 \implies \sqrt[4]{2}\,e^{i11\pi/8}$

or more simply

$\boxed{\pm\sqrt[4]{2}\,e^{-i\pi/8} \text{ and } \pm\sqrt[4]{2}\,e^{i3\pi/8}}$

We can go on to put these in rectangular form. Recall

$\cos^2(x) = \dfrac{1 + \cos(2x)}2$

$\sin^2(x) = \dfrac{1 - \cos(2x)}2$

Then

$\cos\left(-\dfrac\pi8\right) = \cos\left(\dfrac\pi8\right) = \sqrt{\dfrac{1 + \cos\left(\frac\pi4\right)}2} = \sqrt{\dfrac12 + \dfrac1{2\sqrt2}}$

$\sin\left(-\dfrac\pi8\right) = -\sin\left(\dfrac\pi8\right) = -\sqrt{\dfrac{1 - \cos\left(\frac\pi4\right)}2} = -\sqrt{\dfrac12 - \dfrac1{2\sqrt2}}$

$\cos\left(\dfrac{3\pi}8\right) = \sin\left(\dfrac\pi8\right) = \sqrt{\dfrac12 - \dfrac1{2\sqrt2}}$

$\sin\left(\dfrac{3\pi}8\right) = \cos\left(\dfrac\pi8\right) = \sqrt{\dfrac12 + \dfrac1{2\sqrt2}}$

and the roots are equivalently

$\boxed{\pm\sqrt[4]{2}\left(\sqrt{\dfrac12 + \dfrac1{2\sqrt2}} - i\sqrt{\dfrac12 - \dfrac1{2\sqrt2}}\right) \text{ and } \pm\sqrt[4]{2}\left(\sqrt{\dfrac12 + \dfrac1{2\sqrt2}} + i \sqrt{\dfrac12 - \dfrac1{2\sqrt2}}\right)}$

7 0

2 years ago

Fhrjmfkfkjdjdkjsjjxbdhdjdiu

Nat2105 [25]

Answer:

-25

Step-by-step explanation:

$-35$ · $(\frac{5}{7})$

$-\frac{175}{7}$ Multiply the whole number by the numerator

-25 Then simplify by dividing 175 ÷ 7

5 0

3 years ago

A circle has an area of 2,464 cm², what is the diameter of the circle?

Evgen [1.6K]

Answer:

56cm

Step-by-step explanation:

$2.464 {cm}^{2} = 22 \times {r}^{2}$

${r }^{2} = 2.646 = 784$

$r = \sqrt{784} = 28$

$2×28$

$\boxed{\green{Diameter}{ = 56cm}}$

8 0

3 years ago