Find the measure of the exterior angle.

Answer:

15 stones

Step-by-step explanation:

1) It is easier to convert to one unit. So i chose to convert everything to inches.

1 foot = 12 inches

10 feet = 120 inches

2) we then simply divide the size of the stones to see how much we need to cover the path

120/8 = 15 stones  

Answer:

...

Step-by-step explanation:

Answer:

6 cm

8 cm

10 cm

Step-by-step explanation:

3:4:5

3 + 4 + 5 = 12

total 12 parts

24cm / 12 = 2cm per part

3 * 2 = 6 cm

4 * 2 = 8 cm

5 * 2 = 10 cm

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Explanation:

We use De Moivre's Theorem. It says that if you started with

[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]

then raising both sides to the nth power leads to

[tex]z^n = r^n*\left[\cos\left(n*\theta\right)+i*\sin\left(n*\theta\right)\right][/tex]

The term out front r is raised to the nth power. We also have copies of n inside the trig functions.

The square root operation undoes the squaring operation, so we'll be dealing with n = 2.

If you were to go through each answer choice, then you'll find that squaring choice B will lead to the original expression given.

[tex]z = \sqrt{3}*\left[\cos\left(\frac{\pi}{4}\right)+i*\sin\left(\frac{\pi}{4}\right)\right]\\\\\\z^2 = (\sqrt{3})^2*\left[\cos\left(2*\frac{\pi}{4}\right)+i*\sin\left(2*\frac{\pi}{4}\right)\right]\\\\\\z^2 = 3*\left[\cos\left(\frac{\pi}{2}\right)+i*\sin\left(\frac{\pi}{2}\right)\right]\\\\\\[/tex]

Note that working this process in reverse means we apply the square root and we'll go from the expression in choice B to the original expression again.

The complex number Z =  √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number in the trigonometric form:

Z = √(3[cosπ/2 + i sinπ/2])

It is required to find the square root of the complex number.

To find the square root of the complex number we can use the De Moivre's theorem:

If

Z = r[cosθ + i sinθ]

Zⁿ = rⁿ[cosnθ + i sinnθ]

Using the above theorem:

Z =  √3[cos[(1/2)π/2] + i sin[(1/2)π/2]]

Z =  √3[cosπ/4 + i sinπ/4]

Thus, the complex number Z =  √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ5

Step-by-step explanation:

remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.

so, the given domain tells us the interval to look at.

what are the functional values of the function between 0 and 50 ?

since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.

f(0) = 4×0 + 5 = 5

f(50) = 4×50 + 5 = 205

so, the range is 5 <= y <= 205

Answer:

x=116°

Step-by-step explanation:

we have two parallel line and x=116

Answer:

Step-by-step explanation:

m is only raised to the 3rd power. The 8 effects only the n

Numerator

m^3

(n^8 )^3 = n ^24

denominator

(n^9)^3 = n^27

Answer: m^3 * n^24 / n^27 = m^3 / n^(27 - 24) = (m/n )3

Hi!

Given:

[tex](\cfrac{mn^8}{n^9} )^3[/tex]

First, let's do what is inside the parenthesis. Since we're dividing, we subtract unlike exponents, and if there are any negatives, we switch them to make them positive:

[tex]8-9=-1[/tex]

Switch since it's negative:

[tex]\frac{m}{n} ^3[/tex]

Answer:

Maybe 34cm

Sana makatulong..

Answer:

7 by 21 is the answer so 1 by 3 and that will be 3

Answer:

thats as simple as it gets unless you meant to write 3x=-20, then it would be x = 20/3

Answer:

This cannot be simplified

Step-by-step explanation:

3x-20 is the answer

Answer:

X = -27

Explain your answer:

Answer:

x = -28

Explanation

K12

Answer:

I believe it's 6/10

Step-by-step explanation:

3/5 times 2 = 6/10

We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-

[tex]r = \sqrt{169} = 13[/tex]

Then, a square of 13 rows and 13 columns will fit the 169 students.

If the number of students is 1024, then the number of rows N can be calculated as :-

[tex] {N}^{2} = 1024[/tex]

[tex]N = \sqrt{1024} [/tex]

[tex]N = 32[/tex]

169 students will seat in a 13×13 formation.

1024 students will seat in a 32×32 formation (N=32)

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Answer:

6

Step-by-step explanation:

when calculating (g of f)(3) you first have to substitute 3 in the f(x) equation which would be -2(3)+8=-6+8=2. then you have to do g of f, which is g(2) in this case, and 3(2)=6.

hope this helps! :D

Answer:

A

Step-by-step explanation:

Answer:

conversion from gram to kilogram

u divide the gram by 1000

which is 722/ 1000

=0.722kilograms

i.e answer is A

Answer:

y=-2x+10

Step-by-step explanation:

Answer:

D. y = 58

Step-by-step explanation:

Answer:

The value of the polynomial   is 58 for x = 6.

Step-by-step explanation:

Here, the given quadratic function polynomial is given as:

or,  

Now, to find the value of y, when x = 6

⇒  

                 = 2(36 - 6 -1)  = 2(29)  

                 = 58

⇒y(6)  = 58

Hence, the value of the given polynomial   is 58 for x = 6.

Answer: Is 6.4

Step-by-step explanation: I hope I helped in some way shape or form.

Answer:

no.

Step-by-step explanation:

no. thanks.

..........

..

Answer:

Step-by-step explanation:

24 ) Before, so -5 sec

25) after. So,  + 5 sec

26) + 50 c

27) -50 c

28) - 1 min

29)  + $ 50

30)  - $ 5

31)  +5

32) - 5

Answer:

1. Loss ₹50

2. - 60

3. 50 km towards North

4. 1000

5. - 30

6. - 15° C

Answer: It says it right there

Step-by-step explanation:

create a video explaning

Answer: 45.5/100 = 455/1000

Step-by-step explanation:

Step-by-step explanation:

45.5% in its simplest form is

[tex] \frac{91}{2} [/tex]

but 45.5% =

[tex] \frac{91}{2} \ \times 100 = \frac{91}{200} [/tex]

Answer:

This is a contradiction

Answer:

y=5x+200

Step-by-step explanation:

x=number of handbags

y-intercept=200

slope=5

please give me brainly since I'm trying to level up!

Answer:

y = 3/4x - 6 1/4

Step-by-step explanation:

I hope that the slope 3 4 - - means 3/4

Slope = 3/4

Using slope = 3/4 and the point (-1, -7) substitute into y = mx + b and solve for "b"

y = mx + b

-7 = 3/4(-1) + b

-7 = -3/4 + b

-7 + 3/4 = b             3/4 as a decimal = .75

-7 + .75 = b

-6.25 = b

The equation of the line is y = 3/4x - 6.25  or y = 3/4x - 6 1/4

~one variable linear equation

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10x - 7 = 4x + 5

= 10x - 7 - 4x = 5

= 10x - 4x = 5 + 7

= 6x = 5 + 7

= 6x = 12

= x = 12 ÷ 6

= x = 2 ✔️

~ nice to help you ^^