See the attached picture:
I gotchu bro. First you want to expand 5 x 10^-6 which is (HINT: 10... and then move the decimal 6 to the LEFT) so: 0.000010 (you can drop the 0 after the 1)
So then, Take 0.04 and divide 0.00001 to get your answer.
(U got a test so im not gonna answer it for u. U got this)
Answer:
w = 13 m
l = 32
Step-by-step explanation:
let 'w' = width
let '2w+6' = length
P = 2l + 2w
90 = 2(2w+6) + 2w
90 = 4w + 12 + 2w
90 = 6w + 12
78 = 6w
w = 13
length = 2(13) + 6 → 32
l = 32
check:
2(13) + 2(32) should equal 90
26 + 64 = 90
90 = 90 checks out
Answer:
(a) $17 per hour
(b) $16 per hour
(c) Samantha earns $1 more per hour than Thomas
(d) see attached
Step-by-step explanation:
<h3>(a)</h3>
Samantha's hourly rate is most easily computed using the values $170 for 10 hours work.
$170/(10 h) = $17/h
Samantha earns $17 per hour.
__
<h3>(b) </h3>
Thomas's hourly rate is the coefficient of x in his earnings equation. When x=1, y=16, meaning Thomas earns $16 for each hour of work.
__
<h3>(c)</h3>
17 is more than 16, so Samantha earns more per hour. She earns $17 -16 = $1 more per hour than Thomas.
__
<h3>(d)</h3>
See the attachment.
Answer:
The trigonometric form of the complex number is 12(cos 120° + i sin 120°)
Step-by-step explanation:
* Lets revise the complex number in Cartesian form and polar form
- The complex number in the Cartesian form is a + bi
-The complex number in the polar form is r(cosФ + i sinФ)
* Lets revise how we can find one from the other
- r² = a² + b²
- tanФ = b/a
* Now lets solve the problem
∵ z = -6 + i 6√3
∴ a = -6 and b = 6√3
∵ r² = a² + b²
∴ r² = (-6)² + (6√3)² = 36 + 108 = 144
∴ r = √144 = 12
∵ tan Ф° = b/a
∴ tan Ф = 6√3/-6 = -√3
∵ The x-coordinate of the point is negative
∵ The y-coordinate of the point is positive
∴ The point lies on the 2nd quadrant
* The measure of the angle in the 2nd quadrant is 180 - α, where
α is an acute angle
∵ tan α = √3
∴ α = tan^-1 √3 = 60°
∴ Ф = 180° - 60° = 120°
∴ z = 12(cos 120° + i sin 120°)
* The trigonometric form of the complex number is
12(cos 120° + i sin 120°)