What is 6[cos(70°) i sin(70°)] ÷ 2[cos(5°) i sin(5°)]? 3[cos(75°) i sin(75°)] 4[cos(75°) i sin(75°)] 3[cos(65°) i sin(65°)] 4[cos(65°) i sin(65°)].

Answers

Answer 1

Step-by-step explanation:

If we have

[tex] \frac{r( \cos(x) + i \sin(x) }{s( \cos(v) + i \: sin(w)} = \frac{r}{s} ( \cos(x - v) + i \: sin(x - w)[/tex]

So first we know the modulus is 6 and 2 for the second one so we get

[tex] \frac{6}{2} = 3[/tex]

First degree is 70 , and second is 5 so our degree will be 65 in the second because

70-5=65

Our answer is

[tex]3( \cos(65) + i \: \sin(65) )[/tex]

Answer 2

Answer:c.

Step-by-step explanation:


Related Questions

Determine the axis of symmetry of the quadratic function!

Answers

Answer: x=2

Step-by-step explanation:

The axis of symmetry is the vertical line that divides the parabola into two congruent halves. Therefore whatever the x-intercept is, that is the answer.

..... -4c - 1 > 15 ..... please show your work !!

Answers

Answer:

c must be more than -5

Step-by-step explanation:

-4 x -5 =20

20-1=19

HELP!!!!! Explain how to solve 7x−3 = 26 using the change of base formula. Include the solution for x in your answer. Round your answer to the nearest thousandth.

Answers

26-3=7x (23)
23 divided by 7 =3.2857 (x)

Point A is located at (0, 4), and point B is located at (−2, −3). Find the x value for the point that is 1 over 4 the distance from point A to point B. −1. 5 −2 −0. 5 −1.

Answers

-0.5

Hope this helps, explanation is in image :)

Write the following in the ratio form a) 0.5 b) 0.6 c) 1.25 d) 3.4​

Answers

Answer:

A) 1:2

B) 3:5

C) 5:4

D) 17:5

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction

Step 2) Multiply the numerator and denominator by 10 to eliminate the decimal point.

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF)

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon

Heres an example. I'll do the last one.

3.4 = 3.4/1

(3.4 x10) /(1 x 10)= 34/10

34 /2 = 17

10/2  = 5

17/5 = 17:5

The temperature was x° F. It increased by 24°F and is now 6°F. What was the original
temperature?

Answers

Answer:

The original temperature was -18°F

Step-by-step explanation:

x°F + 24°F = 6°F

or, x°F = 6°F - 24°F

so, x°F = -18°F

how to use the quadratic formula on a graphing calculator

Answers

Answer:

go to y= and type in the equation then  press 2nd trace  and then press  2 on the left side of the parabola find a point to the left of the x intercept and press enter then find a point to the right of the x intercept  and press enter. then press enter when it ask you to guess  and you have your answer

Step-by-step explanation:

Write a story problem to go with the multiplication problem 4 x 2/3 Then, solve the problem. PLEASE HELP ASAP

Answers

Answer:8/3x

Step-by-step explanation:tell if this didnt work

What’s the value of x? Show your work

Answers

The answer is 24

Explanation
7•8 is 56
And 3•8 is 24

You are a sales rep for a large sheet metal manufacturing firm and want to sell off
some scrap metal. Company A has offered you $13.50 a pound, and it will cost you
$200.00 to package and ship 150 lbs of scrap metal to them. Company B has offered
you $13.20 a pound, and it will cost you $175.00 to package and ship 150 lbs of
scrap metal to them. How much is the most profit you can make on 150 lbs?

Answers

Answer:

1,825

Step-by-step explanation:

Multiply $13.50 by 150 then subtract the shipping fee do it on the other answer and you will get your final answer which is 1,825

Answer:

Company A: $1,825

Company B: $1,805

Step-by-step explanation:

Company A will end up giving you the most

1.) 13.50 (payment for 1 lb.) x 150 (# of lbs.) is $2,025

2.) Subtract the $200 shipping fee to get $1,825

Company B is next

1.) 13.20 (payment for 1 lb.) x 150 (# of lbs.) is $1,980

2.) Subtract the $ 175 shipping fee from the total to get $1,805

How can you tell when a rate is a unit rate?

A. You never can
B. When it has a denominator of 1
C. When it is written as a fraction.
D. Unit rates are easier to compare

Answers

I think maybe D is correct

1. 4 : 5 = __ : 30
2. 63 : 81 = 14 : _

please answer quick im having trouble on these two questions!

Answers

Answer:

1. 24

2.18

Step-by-step explanation:

1.24 bc

30/5=6

6x4=24

2.18 bc

63/14=4.5

81/4.5=18

help please need asap

Answers

Answer:

Options D & E

Step-by-step explanation:

In D option, putting-3y in brackets ( ) doesn't bring any change.

In option E, -(-7x) equals to +7x, hence, remaining the same.

Hope it helps :)

What is the solution of the following quadratic inequality? x4 – 18x2 ≥ –64

Answers

Answer:

x<=-4 or -2<=x<=2 or x>=4

Step-by-step explanation:

First, you have to get the formula in its standard form,

x^4 - 18x^2 + 64 >= 0

Next, you factorise the expression as you would any trinomial. The fact that the degree of the inequality is 4 instead of 2 just adds an extra step,

(x^2 - 16)(x^2 - 4) >= 0

Get the zeroes/critical values of the equation by equating either bracket to zero.

x^2 - 16 = 0  and  x^2 - 4 = 0

x^2 = 16                x^2 = 4

Since both values are positive, both answers are valid as squares of x. The aforementioned extra step is just square rooting these values. Remember: This means that both a positive and negative answer will arise from both equations.

x = 4 or x = -4 or x = 2 or x = -2

Now you have to show these values on a number line.

 -4     -2       2       4

_|____|____|____|_

These are the critical values of the inequality, i.e. those values that make it equal zero (zeroes). Now to solve the inequality you need to substitute a value larger than 4 (called x big positive) and then a value between 2 and 4, between -2 and 2... until you sub a value less than -4 into the factorised expression. The point of this is to get the SIGN of the answer. As a rule, since no factors repeat themselves, after calculating x big positive you can simply alternate the signs going left. Try it out yourself!

+ -4 -  -2  +   2   -   4  +

_|____|____|____|_

Since we're looking for values greater than or equal to zero, all critical values as well as "plus signs" will form part of the answer, namely:

x<=-4 or -2<=x<=2 or x>=4

P.S. If you prefer, you could also factorise each bracket further as both of them were DOTS brackets and you would have ended up with the same critical values.

Answer: D

Step-by-step explanation:

Solve for x. x2 = 100 A. -200, 200 B. -100, 100 C. -50, 50 D. -10, 10

Answers

Answer:

D. -10, 10

Step-by-step explanation:

Instead of inserting values into x to solve, let's isolate x.

In order to do this, we must take the square root of both sides.

[tex]\sqrt{x^{2} } =\sqrt{100}[/tex]

[tex]x=\sqrt{100}[/tex]

To find the square root of 100, we must figure out what = 100 when multiplied by itself. Reminder, it can be both a positive or a negative square root, as positive times positive is a positive, and negative times negative is a positive.

The square root of 100 is -10 or 10, as 10 x 10 or -10 x -10 = 100.

Hope this helps! :)

the sum of two consecutive even numbers is 18.find the numbers​

Answers

Answer:

Numbers are 8  and  10

Step-by-step explanation:

    10 + 8 = 18

Rhea and Cecil shared Php 500 each to buy the following for their brother's birthday: 12 pies at Php 20.50 each, 6 watermelons at Php 45.50 each, 4 cans of juice at 23.50 each. They spent the rest of the money for ice cream and cookies. How much did they spend for the ice cream and cookies? Round-off to the greatest place value and estimate the product

A. 300
B. 400
C. 500
D. 600
4. Alvin bough

pasagot po need na

Answers

The answer your looking for is C.

HELP ME RIGHT NOW ON THIS QUESTION

Answers

Answer:

The last one

Step-by-step explanation:

mike has 5 2/3 pounds of sugar. he used 2 4/5 pounds of sugar to make cakes how many pounds of sugar dose he left

Answers

Answer:

[tex]2\frac{13}{15}[/tex]

Step-by-step explanation:

Given the following question:

[tex]5\frac{2}{3} -2\frac{4}{5}[/tex]

In order to find the answer to the question we have to subtract the initial amount of sugar by the amount of sugar Mike has left over after baking the cakes.

[tex]5\frac{2}{3}-2\frac{4}{5}[/tex]

To subtract fractions, we have to convert the mixed numbers into improper fractions and then find the least common denominator (LCD) to solve.

[tex]5\frac{2}{3} =3\times5=15+2=\frac{17}{3}[/tex]
[tex]2\frac{4}{5} =5\times2=10+4=\frac{14}{5}[/tex]
[tex]\frac{17}{3} -\frac{14}{5}[/tex]

Find the least common multiple:

[tex]LCD=15[/tex]
[tex]17\times5=85[/tex]
[tex]3\times5=15[/tex]
[tex]14\times3=42[/tex]
[tex]5\times3=15[/tex]

[tex]\frac{85}{15} -\frac{42}{15}[/tex]

Subtract the numerators:

[tex]85-42=43=\frac{43}{15}[/tex]

Convert into mixed number:

[tex]\frac{43}{15} =43\div15=2\frac{13}{15}[/tex]
[tex]=2\frac{13}{15}[/tex]

Hope this helps.

(it urgent)
Find the AREA of the SHADED REGION

Answers

Answer:

i will answer but there is no picture

Step-by-step explanation:

sorry

x-y=-5
x-y=1^3
help pleas --- solve equations by substitution.

Answers

Heya!

Answer is [tex]No \: Solution[/tex]

EXPLANATION :-

Given

x-y= -5

x-y=1³

Substitute value of x - y as in first equation,

=> x-y= -5

=> 1³ = -5

As we can't do anything more to solve, we can finally write as :

[tex]No \: Solution[/tex]

~ Benjemin360

find the additive inverse of 6/9​

Answers

Answer:

the additive inverse of 6/9 is -6/9.

i need the answer to the question on the image

Answers

Answer:

x should equal 10 because 10 divide by -5 would equal -2

Determine the slope of the line represented by y=5x-7 ?

Answers

Step-by-step explanation:

that is totally easy.

in the slope intercept form of a line equation the factor of x is always the slope.

in general

y = ax + b

a = the slope.

so, in our case here

y = 5x - 7

5 is the slope.

and -7 is the y intercept (at what point does the line intercept the y-axis; that is the y value when x = 0).

Help me with math I don't understand!please​

Answers

let'sAnswer:

P ≈ 102.83 cm

Step-by-step explanation:

The window is practically a semi-circle. The formula for the perimeter of a semi-circle is πr + d.

*Remember that d (diameter) = 2 · r (radius)

Let's plug in everything that we know into the formula!

r = 20

d = 2(20) → 40

π(20) + 40 = 102.8318531

Now lets round the answer to the hundredths place.

102.8318531 → 102.83

Answer:

62.83 (estimate)

Step-by-step explanation:

The equation for the perimeter of a circle (also called circumference) is 2 times pi times the radius, or pi times the diameter. Since the window is a semi-circle, you divide the result by two.

[tex]2\pi r\\2(20)\pi = 40 \pi\\40\pi= 125.6\\125.663706144/2=62.83[/tex]

Mrs. House wants to buy a wireless speaker for her husband. She has narrowed down her choice
to two stores:
• Kohls is selling the speaker for $60.00. Mrs. House has a Friends and Family discount coupon
for 25% off.
• Target purchased the speaker for $38.00 and marked it up by 15% to sell in the store.
1) How much would Mrs. House be paying for the speaker at Kohl’s please i need help on how to show work

Answers

Answer:

60/4 is 45 and 38 times 1.15 is 43.70 kohls is more expensive

Step-by-step explanation:

Answer: 15 maybe i do not know

Step-by-step

A solid figure is shown Below. What is the volume in cubic inches? Show your work ​

Answers

Answer:  300 cubic inches

Explanation:

Imagine slicing the T shape into two pieces such that we have two rectangular blocks.

The larger block down below has volume of 3*12*5 = 180 cubic inches.The smaller block on top has volume of 8*3*5 = 120 cubic inches

The overall volume of this T shape is 180+120 = 300 cubic inches.

What is a positive integer? what is a negative integer?.

Answers

Positive integers is an integer is positive if it is greater than zero. A negative integer is an integer that is negative if it is less then zero

Example: -1,-2,-3 zero is defined as nervier negative nor positive integer. Because zero is a whole number.
positive integer is any whole number that does not have a - in front of it (eg. 1,2,3,4)

negative integer is any whole number that does have a - in front of it (eg. -1,-2,-3,-4)

Fiona loves pizza. She ate of a pizza for dinner one night. She ordered another pizza the
next day and ate of it for lunch. What fraction of a whole pizza did Fiona eat all together?

Answers

[tex]\stackrel{1st~night}{\cfrac{5}{6}}+\stackrel{\textit{2nd night}}{\cfrac{1}{3} }\implies \cfrac{(1)5~~ +~~(2)1}{\underset{\textit{using this LCD}}{6}}\implies \cfrac{7}{6}\implies 1\frac{1}{6}[/tex]

Help me to answer this Math pls​

Answers

Answer:
a) 1) equilateral (all equal sides)
2) isosceles (equal opp. sides)
3) scalene (unequal sides)

b) 1) obtuse (> 90°)
2) acute (< 90°)
3) right (90°)

c) 1) Equilateral & equiangular (< 90° & equal sides)
2) Right scalene (90° & diff sides)
3) Acute isosceles (< 90° & 2 equal opp. sides)


Hope it helps ⚜


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