Find the three cube roots of the complex number 8i. Give your answers in the form x + iy
Answers
z = 8(cos(90) + i sin(90)) ; now take the 1/3 power of it.
When we take this to a normal integer power of 3 we get:
z^3 = 8^3(cos(90*3) + i sin(90*3)) right? its the same for rational exponents as well.
z^(1/3) - 2(cos(90/3) + i sin(90/3))
90/3 = 30; the cos(30)=sqrt(3)/2 and the sin(30) = 1/22(sqrt(3)/2 + i 1/2) = sqrt(3) + 1i should be one of the cube roots.
(sqrt(3) + i)^2 = 2 +2sqrt(3) i
(sqrt(3)+i) (2 +2sqrt(3)i
2sqrt(3) + 6i +2i -2sqrt(3) = 8i
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6x + 2y = 10 in slope intercept form
Which equation describes a line passing through (-3,1) that is parallel to y=4x+1?A) y= -0.25x + 0.25B) y= 4x - 11C) y= -0.25x + 1.75D) y= 4x + 13
Sparkle is 464 mm long and twilight is 46 cm long which of Amelia's cats is longer
The product of a + 3 and –2a2 + 15a + 6 is –2a3 + xa2 + 51a + 18. What is the value of x?
Answers
Option B is correct, the second triangle would be used to find the distance between the base of the ladder and the base of the house
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that a 26-foot ladder is placed against a house and reaches the 24-foot roof.
We have to find the distance between the base of the ladder and the base of the house.
The second triangle would be used to find the distance between the base of the ladder and the base of the house
Hence, option B is correct, the second triangle with opposite side 24 ft and hypotenuse 26 ft is used to find the distance between the base of the ladder and the base of the house
To learn more on trigonometry click:
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Answer:
b or the second one
Step-by-step explanation:
Answers
Answer:
400%
Step-by-step explanation:
Given :
The volume for 3-D polyhedral A is 200 cubic cm.
The volume for 3-D polyhedral B is 800 cubic cm.
To Find: how many times bigger is the volume of pyramid B than pyramid A?
Solution:
Since we are supposed to find how many times bigger is the volume of pyramid B than pyramid A.
⇒
⇒
⇒
⇒
Thus Option D is correct.
Hence the volume of pyramid B is 400% times bigger than pyramid A.
If the triangles shown to the right are congruent, write a congruence statement and give a reason why they are congruent.
Are the triangles congruent or not congruent?
A. Not congruent
B. Congruent
Write a congruence statement and give a reason why the triangles are congruent. Choose the correct answer below.
A. ΔSBC ≅ ΔDHF, ASA
B. ΔSBC ≅ ΔDHF, SAS
C. ΔSBC ≅ ΔDHF, SSS
D. The two triangles are not necessarily congruent.
Answers
Answer:
please I'm sorry please I don't know the answer please forgive me Okay
What would be the values where each line is in a box plot?? Like the median, maximum, minimum
Answers
arrange in ascending order:
2.3, 2.4, 2.4, 2.5, 2.5, 2.6, 2.6, 2.7, 2.7, 2.8, 2.8
The 5 number summary that is presented in a box plot
1) minimum value - 2.3
2) 1st quartile - 2.4
3) median - 2.6
4) 3rd quartile - 2.75
5) maximum value - 2.8
Answer:
The answer is the First graph
Step-by-step explanation:
Answers
The first step for solving x - 2 < 4 is to move the constant to the right side and then change its sign.
x < 4 + 2
Now add the numbers together to get your final answer.
x < 6
This means that we have one option that equals x < -2 and one option that equals x < 6.
Let's now solve 2x < -4 to see what that one equals. In order to solve this,, we need to divide both sides of the inequality by 2.
x < -2
Now we can see that it looks like all of the expressions are equivalent except for x - 2 < 4. Before we can confirm this though,, let's solve for x - 2 < -4. The first step for solving this is to move the constant to the right side and change its sign.
x < -4 + 2
Now calculate the sum of these two numbers to get your final answer.
x < -2
This tells us that all of the options are equivalent except for x - 2 < 4,, or option B.
Let me know if you have any further questions.
:)
A.6 meters
B.10 meters
C.12 meters
D.15 meters
Answers
AB is a hypotenuse and AD is an adjecant.
cos 60° = AD / AB
AB = AD / cos 60°
AB = AD : 1/2
AB = 6 : 1/2 = 12
Answer:
C ) 12 meters