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True [87]
3 years ago
5

Please help me! I need it

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

About 0.5

Step-by-step explanation:

By the law of sines:

\dfrac{2}{\sin 105}=\dfrac{c}{\sin 15} \\\\\\c=\dfrac{2}{\sin 105}\cdot \sin 15\approx 0.5cm

Hope this helps!

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What complex number is represented by the polar coordinates (4, -pi/4)
nexus9112 [7]

Answer:

\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}

Step-by-step explanation:

A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as <em>|z|).</em>

Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.

Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.

\displaystyle \large{z=4[\cos (-\frac{\pi}{4}) + i\sin (-\frac{\pi}{4})]}

Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.

\displaystyle \large{z=4\left(\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}i \right)}\\\\\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}

Hence, the complex number that has polar coordinate of (4,-45°) is \displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}

3 0
2 years ago
The sum of the cube of a number and 12
Black_prince [1.1K]
Let the "number" be n.

The expression would be n^3+12
3 0
3 years ago
What is the sum of the polynomials?
lesya [120]

Add the like terms:

8x2+x2=9x2

-9y2-3y2=-12y2

-4x-7x=-11x

Combine each term:

9x2-12y2-11x

Hope this helps!!

5 0
3 years ago
Equivalent fractions are always larger than orginal fraction true or false?
ioda
The answer is false. They are the same
8 0
3 years ago
(2x³+11x²+5)-(x³-2x²+2)<br>​
SOVA2 [1]

Answer:x^3+13x^2+3

Step-by-step explanation:

(2x^3+11x^2+5)-(x^3-2x^2+2)

Clearing brackets

2x^3+11x^2+5-x^3+2x^2-2

Collect like terms

2x^3-x^3+11x^2+2x^2+5-2

x^3+13x^2+3

3 0
3 years ago
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