How do you write this in standard form? (6-7i)/(1-2i)

Answers

Answer 1

Answer: $\frac { \left( 6-7i \right) }{ \left( 1-2i \right) } \cdot 1\n \n =\frac { \left( 6-7i \right) }{ \left( 1-2i \right) } \cdot \frac { \left( 1+2i \right) }{ \left( 1+2i \right) } \n \n =\frac { 6+12i-7i-14{ i }^( 2 ) }{ 1+2i-2i-4{ i }^( 2 ) }$

$\n \n =\frac { 6+5i-14\left( -1 \right) }{ 1-4\left( -1 \right) } \n \n =\frac { 6+5i+14 }{ 1+4 } \n \n =\frac { 20+5i }{ 5 } \n \n =\frac { 20 }{ 5 } +\frac { 5i }{ 5 } \n \n =4+i$

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Solve y to the power of 2 =256

What is the measure ofA
30°
C

Answers

Answer:

120°

Step-by-step explanation:

To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown angle of depression. If the beam of light shines on the sea surface at a point that is 865 feet away from the base of the lighthouse, what is the angle of depression?

Answers

Answer:

$\approx 6^\circ$

Step-by-step explanation:

Given that:

Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.

The angle of depression is unknown.

Distance of the point at sea surface from the base of lighthouse is 865 ft.

This situation can be modeled or can be represented as the figure attached in the answer area.

The situation can be represented by a right angled $\triangle ABC$ in which we are given the base and the height of the triangle.

And we have to find the value of $\angle BAD \ or \ \angle C$ (Because they are the internal vertically opposite angles).

Using tangent ratio:

$tan\theta = (Perpendicular)/(Base)$

$tanC = (AC)/(BC)\n\Rightarrow tanC = (91)/(865)\n\Rightarrow tanC = 0.105\n\Rightarrow \angle C \approx 6^\circ$

Therefore, the angle of depression is: $\approx 6^\circ$

Use pi=3 calculate the length of a cicumference of a circle with a radius of 5cm

Answers

circumference=2pir
r=5
pi=3
circumference=(2)(3)(5)
circumfernce=6(5)
circufmerence=30

answer is 30cm

.Resolva as equações, sendo U = Q (separe as respostas por vírgulas). A) 3y - 2 = - y + 4 B) 5 - 4x = x + 3 + 2x C) - 12 - 9x = - 4 - 12x D) - x - 6 + 3x = -2x + 8x + 15

Answers

Answer:

$(A) y=1.5$

$(B)x=\frac27$

$(C)x=2\frac23$

$(D)x=-5.25$

Step-by-step explanation:

(A)

$3y - 2 = - y + 4\n3y+y=4+2\n4y=6\ny=\frac64\n\ny=1.5$

(B)

$5 - 4x = x + 3 + 2x\n5 - 4x = 3 +3x\n5-3=3x+4x\n7x=2\nx=\frac27$

(C)

$-12 - 9x = - 4 - 12x\n-9x+12x=-4+12\n3x=8\nx=\frac83\n\nx=2\frac23$

(D) $- x - 6 + 3x = -2x + 8x + 15$

$2x-6 = 6x + 15\n2x-6x=15+6\n-4x=21\nx=(21)/(-4) \n\nx=-5.25$

Is √10 in simplest form?

Answers

3.16227766017

rounded it is 3

A sign in a store window has the shape of a regular nonagon (9-sided figure). The sign has an apothem length of 40 cm and a side length of 29 cm.What is its area?

____cm2

Answers

Area = A
Side length = L = 29 cm
number of sides = n = 9
Apothen = a = 40 cm

A = nLa / 2 = 9*29cm*40cm / 2 = 5,220 cm^2

Answer: 5,220 cm^2

Answer:

5220 cm

Step-by-step explanation:

A=9/4(a^2)cot(180°/9) is the formula and got 5,220 cm

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