Answer:
2 1/2
Step-by-step explanation:
The roots are located on a circle with a center at the origin and a radius of 4. The arguments of two successive roots differ by (1/2)π units along the circumference of a circle.
What is the Circumference of a circle?The circumference of a circle is defined as the product of the diameter of the circle and pi.
The 4th roots of 16[cos(π) + i sin(π)] are the 4th roots of -16i. These roots are located on a circle with a center at the origin and a radius of 4 because the 4th roots of a complex number are equally spaced on a circle with a radius equal to the absolute value of the complex number.
The arguments of two successive roots differ by π/2 units along the circumference of a circle. This is because there are 4 roots and the circle has a circumference of 2π, so each root is spaced 2π/4 = π/2 units apart along the circumference of the circle.
For example, the first root is located at (4, 0) on the complex plane, which corresponds to an argument of 0.
The second root is located at (0, 4) on the complex plane, which corresponds to an argument of π/2.
The third root is located at (-4, 0) on the complex plane, which corresponds to an argument of π.
The fourth root is located at (0, -4) on the complex plane, which corresponds to an argument of 3π/2.
Thus, you can see that the arguments of the roots differ by π/2 units.
To learn more about the roots of complex numbers click here:
https://brainly.com/question/28182680
#SPJ2
Hey can someone please help me lol
Answer:
49.53 nautical miles
Step-by-step explanation:
Adding 36 and 21 we get 57 miles.
57 converted to nautical miles would be 49.53
PGR is a right-angled triangle.
Work out the size of angle PGR. Give your answer correct to 1 decimal place.
Answer:
PQR = 67.4 degrees
Step-by-step explanation:
Here, we want to find the size of PQR
to do this, we proceed as follows
As we can see PR is the opposite while PQ is the hypotenuse
The trigonometric identity connecting the two is the sine
sine is the ratio of the opposite to the hypotenuse
sin Q = 12/13
Q = sin^-1(12/13)
Q = 67.4 degrees
How would you write the equation of a line that passes through (2, 3) and (3, 1)
Answer:
y= -2x + 7
Step-by-step explanation:
I did the math and the slope was -2 and the y-intercept was 7
Simplify the expression 4(x + 5) - 3(7 + x)
Answer:
x-1
Step-by-step explanation:
Answer:
x - 1
Step-by-step explanation:
4(x+5)-3(7+x)
4( x + 5) = 4x + 20
4x+20-3(7+x)
-3(7 + x) = -21 - 3x
4x+20-21-3x
4x + 20 - 21 - 3x = x-1
{(4,7),(2,5),(6,0),(4,_)} If this is a relation
is a function, then what number must
fill in the blank?
Answer:
Ans: The number will be six (6)
help please.. quickly
so can someone like pls help me what's -20×-18=
Answer:
360
Step-by-step explanation:
-20x-18=20x18=360
Answer:
-2(10x+9)
Step-by-step explanation:
PLSSSS help ASAPPPPP
Answer: The amount of hotdogs you would need to sell in order to reach $300= 80
Step-by-step explanation:
Find how much money is spent per hotdog:140÷70=2
$140= Amount made by selling 70 Hotdogs
70=Amount of Hotdogs sold already
Dividing 140 by 70 will get you the cost of 1 hotdog. This is due to division being the act of separating something into parts. There are 70 parts (or hotdogs) in this equation so therefore by separating the amount of money made by those selling those parts, the amount per hotdog would be found.
2. Find the amount of hotdogs it would take to earn a total of $300:
300-140= 160 160÷2= 80
The question asks for a total of $300 to be earnt by selling hotdogs. $140 has already been earnt, therefore a portion of the total amount has been made. By subtracting the amount already made by the total amount of money that is wanted to be earnt, the amount of money needed to reach the $300 is found. The $160 is then divided by the amount of money spent per hotdog ($2). The answer (80) is the amount of hotdogs required to be sold to reach the goal of $300.
Solve for c.
-5/8c = 20
A. c = -34
B. c = -32
C. c = 26
D. c = 28
Answer:
b
Step-by-step explanation:
solve for c by simplifying both sides of the equation then isolate the variable
PLZ HELP WITH THIS QUESTION !!!!!!!!!
Answer:
I believe the answer is B
Step-by-step explanation:
what is 64 thousandths in decimal form
The answer is .00064, because if you were to make in Thousand form it would look like this ➡️ 64,000. See the 3 Zeros? that is what makes it a thousand. now wht woul happen if we switched that around? well it would look like this ➡️ .00064. as you can see, there are 3 zeros, like in the last example. so your answer is ''.00064''
(4/5)^2+ 2/5 ÷ 1/2( these are fractions and the 2 is a exponent) hurry up please
Answer:
Step-by-step explanation:
Please show work lol, also Brainliest goes out to the correct answer
Answer:
Answer below
Step-by-step explanation:
1) The bakers at Healthy Bakery can make 290 bagels in 10 hours. How many
bagels can they bake in 23 hours? What was that rate per hour?
Answer:
667 bagels in 23 hours
29 bagels per hour
Step-by-step explanation:
We first find the unit rate in bagels per hour.
(290 bagels) / (10 hours) = 29 bagels/hour
Now we find the number of bagels made in 23 hours.
23 hours * 29 bagels/hour = 667 bagels
How do you write 8.97 x 102 in standard form?
Answer:
914.94
Step-by-step explanation:
Solve the equation.
-4(2: + 6) - 12 = 4
this is due in a bit and im having a bit of trouble, any solutions?
Answer:
I believe that those triangles are not similar
Step-by-step explanation:
5 is 1.666 of 3
20/3=6.667
1.666 does not equal 6.667
if I did that correctly, they are not similar
Hope this helps!
Evaluate the function. f(x)=-4x^2+10 find f(-2)
Answer:
[tex]f(-2)=-6[/tex]
Step-by-step explanation:
[tex]f(x)=-4x^{2} +10[/tex]
At x=-2
[tex]f(-2)=-4(-2)^{2} +10[/tex]
[tex]f(-2)=-4(4) +10[/tex]
[tex]f(-2)=-16 +10[/tex]
[tex]f(-2)=-6[/tex]
Simplify 9x - 4 + 3x
Answer:
[tex]4(3x - 1)[/tex]
Step-by-step explanation:
[tex]9x - 4 + 3x[/tex]
Adding 9x & 3x gives 12x.
[tex] = > 12x - 4[/tex]
Now taking 4 common from both the terms , we get :-
[tex]4(3x - 1)[/tex]
How many kilograms of chocolate will each person get if 4 people share 1-3 of kilograms of chocolate equally
Answer:83 grams of chocolate.
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
4 ÷ 1/3=
All we need to do here is multiply the whole number by the numerator and make that number the new numerator. The old numerator then becomes the new denominator. Let's write this down visually:4*3/1=12/1
so flip it and you get 1/12
PLZ help me do this work i don't get its hard :(
Solving for the missing side of the triangle , please help
Answer:
C=78
Step-by-step explanation:
first add 72 and 30 you get 102 then subrtract 102 from 180 and youll get your answer of 78
Which expression is equivalent to 3 the 5th power?
Answer:
The expression equivalent to 3 to the 5th power is 3^5.
The number 3 raised to the 5th power is represented through the expression 3 ^ 5, which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3), which results in the number 243, which is can be corroborated by the following calculations:
3x3 = 9
9x3 = 27
27x3 = 81
81x3 = 243
The solution is: The expression equivalent to 3 to the 5th power is 3^5.
Here, we have,
The number 3 raised to the 5th power is represented through the expression 3 ^ 5,
which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3),
which results in the number 243,
which is can be corroborated by the following calculations:
3x3 = 9
9x3 = 27
27x3 = 81
81x3 = 243
Hence, The solution is: The expression equivalent to 3 to the 5th power is 3^5.
To learn more on Expression click:
brainly.com/question/14083225
#SPJ6
Which measurements below will not create a right triangle? *
3 inches, 4, inches, 5 inches
5 inches, 6 inches, 7 inches
6 inches, 8 inches, 10 inches
5 inches, 12 inches, 13 inches
What is the slope of the line represented by the equation y = -1/2x +1/4?
Answer:
-1/2
Step-by-step explanation:
y = -1/2x + 1/4 is in slope y-intercept form : y = mx + b
m is slope
Slope = -1/2
Part C Find the length and width of rectangle NEHI, and calculate its area.
Answer:
length of rectangle NEHI = NI = (38 – 8) = 30 feet
width of rectangle NEHI = NE = 5 feet
area of rectangle NEHI = length × width
= 30 × 5
= 150 square feet
Step-by-step explanation:
1 5/6 ÷ 3/5 x 2/11 = ?
please help! will give brainliest! also, please show all work, thanks!
Answer:
75/99
Step-by-step explanation:
PLZ ANSWER QUICK IT WILL HELP A LOT!
Answer:
A
Step-by-step explanation:
The diagram shows a square with a perimeter of 20 cm.
Not drawn
accurately
Eight of these squares fit together to make a rectangle.
Not drawnaccurately
What is the perimeter of the rectangle?
The perimeter of the rectangle is 70cm.
What is perimeter?Perimeter is the total length of the sides of a two-dimensional shape.
What is the formula for the perimeter of square?Perimeter of the square is given by
P = 4a
where,
a is the side length of the square.
P is the perimeter of the square.
What is the formula for the perimeter for the rectangle?Perimeter of the rectangle is given by
P = 2( l + b)
Where,
l is the of the rectangle
b is the breadth of the the rectangle
According to the given question.
We have the perimeter of the square is 20cm.
⇒ 4a = 20
⇒ a = 5cm
⇒ Each side length of the square is 5cm
And a rectangle made of 10 squares.
⇒ length of the rectangle = 5×5 = 25cm
and the breadth of the rectangle = 2 × 5 = 10cm
Therefore, the perimeter of the rectangle = 2(25 + 10) = 2 × 35 = 70cm
Hence, the perimeter of the rectangle is 70cm.
Find out more information about perimeter of square and rectangle here:
https://brainly.com/question/17055034
#SPJ2
Find the value of x in the figure. 57 x+23 DUE AT 3PM 2/1 PLZ HELP WITH STEPS
Answer:
x = 100
Step-by-step explanation:
Since the two sides need to equal 180 degrees, we would have this as our formula: x + 23 + 57 = 180
23 + 57 is 80, and we subtract 80 from 180 to get 100 as our answer.
The required value of the variable x is 100, which is determined by the property of the supplementary angles.
As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.
Here, the two sides must equal 180 degrees.
As per the property of supplementary angle, it can be written as:
x + 23 + 57 = 180
Apply the addition operation,
x + 80 = 180
x = 180 - 80
Apply the subtraction operation to get,
x = 100
Therefore, the required value of the variable x is 100.
Learn more about supplementary angles here:
brainly.com/question/3027144
#SPJ6