Answer:
<A = 75degrees
Step-by-step explanation:
From the triangle given;
arcDA + arc AD + arcBD = 360 degrees
131 + 79 + arcBD = 360
210 + arcBD = 360
arcBD = 360 -210
arcBD = 150 degrees
Since the angle at the vertex <A is half that at the arc BD, hence;
<A = 1/2 arcBD
<A = 1/2 * 150
<A = 75degrees
Hence the measure of angle A s 75degrees
Answer:
C) √5(cos(117°) +i·sin(117°))
Step-by-step explanation:
The rectangular number a+bi can be written in polar form as ...
√(a^2+b^2)×(cos(arctan(b/a)) + i·sin(arctan(b/a)))
Here, we have a=-1, b=2, so the magnitude is ...
√((-1)^2 +2^2) = √(1+4) = √5
and the angle is ...
arctan(2/(-1)) = arctan(-2) ≈ 116.565° . . . . . a 2nd-quadrant angle
Then you have ...
-1 +2i = √5(cos(117°) +i·sin(117°)) . . . . . . customary "polar form"
_____
Comment on the answer
The "polar form" is generally written as ...
(magnitude)·(cos(angle) +i·sin(angle))
You may also see it as ...
(magnitude) cis (angle) . . . . . . . where "cis" is shorthand for "cos + i·sin"
In my engineering courses, we often used the form ...
(magnitude) ∠ (angle)
The form used by my calculator is ...
(magnitude)·e^(i·angle) . . . . . where angle is usually in radians
Answer:
22
Step-by-step explanation:
Let X be the time for only a small drain, the work completed would be unity.
The small drain has been open for a total of 11 hours, one hour next to the large one, and 10 hours alone.
We have that large drainage can accomplish this in 2 hours.
We have the following system:
1/2 + 11 / x = 1
solving, we have:
11 / x = 1 - 1/2
11 / x = 1/2
x = 11 * 2
x = 22
I mean it would take a total of 22 hours for the small drain alone
The anwser is 5.05 cm hahahahahahahahahahahahah
If it's really a cube, then it can have only one set of dimensions.
Actually, only one dimension ... the length of every edge is the
same number.
The volume of a cube is the cube of its edge length. So the
length of every edge is the cube root of its volume.
But the dimension can sometimes be written in different ways.
Volume = 360 inch³
Edge length = ∛(360 inch³)
= ∛360 inches
= 3 ∛(13 and 1/3) inches
= 4 ∛5.625 inches
= 5 ∛2.88 inches
= 6 ∛(1 and 2/3) inches .
