Use Moivre Formula to find cube roots of 64(cos219+isin219)
Cubic roots =∛[64(cos219+isin219)] = [64(cos219+isin219)]^(1/3)
= 4[(cos219+isin219)]^(1/3)=4[cos(219)/3+isin219/3)]=
= 1.169 + 3.82 i
Answer:
- radius: 15 ft
- diameter: 30 ft
- circumference: 30π ft
Step-by-step explanation:
The area is given in terms of the radius as ...
A = πr^2
so we can find the radius as ...
r = √(A/π)
For your circle, the radius is ...
r = √(225π ft^2/π) = 15 ft
The diameter is twice the radius, so is ...
d = 2r = 2·15 ft = 30 ft
And the circumference is π times the diameter:
C = πd = π·30 ft = 30π ft
Answer:
<u>24</u>
Step-by-step explanation:
To get your answer, you need to multiply 1.5 and 6.
<u>1.5 x 6 = 9</u>
Then you multiply 4 and 6.
<u>4 x 6 = 24</u>
Which is your final answer.
<h3><em>I hope this helps you! Good Luck!</em></h3>
6:20=9:30=3:10=18:60=16:160/3=12:40
Step-by-step explanation:
The question requires you to find value of x in the ratios given;
Start with the first pair
6:20 = 9:x
6/20 =9/x
6x=20*9
6x=180
x=180/6=30 ⇒⇒ 6:20 = 9:30
The second pair after replacing the value of x=30 will be
9:30 = x:10
9/30=x/10
90=30x
90/30 =x
3=x⇒⇒ 9:30 = 3:10
The third pair after replacing value of x=3 will be
3:10 =x:60
3/10 =x/60
180=10x
180/10 =x
18=x ⇒⇒ 3:10 = 18:60
The fourth pair after replacing value of x=18 will be;
18:60 = 16:x
18/60 = 16/x
18x=16*60
x= (16*60)/18 =160/3
x= 160/3 ⇒⇒⇒ 18:60 = 16: 160/3
The firth pair after replacing value of x=160/3 will be;
16: 160/3 =12:x
16x= 160/3 *12
16x = 160 * 4
x= (160 *4 )/16
x=40
⇒⇒ 16: 160/3 = 12: 40
Learn More
Ratios and proportions :brainly.com/question/9512748
Keywords : ratio, value of x, proportion
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Answer:
The sidewalk moves at 0.5 ft/sec
Josie's speed walking on a non-moving ground is 3.5ft/sec
Step-by-step explanation:
Let x represent the speed of the side walk and y represent her walking speed
It takes Jason's 8-year-old daughter Josie 44 sec to travel 176 ft walking with the sidewalk
Distance = speed × time
176 = (x+y)×44
44x+44y = 176
x+y = 4 .......1
It takes her 7 sec to walk 21 ft against the moving sidewalk in the opposite direction).
21 = (y-x)7
7y - 7x = 21
y - x = 3 ......2
Add equation 1 to 2
2y = 7
y = 3.5 ft/sec
From equation 1
x + y = 4
x = 4 - 3.5 = 0.5
x = 0.5 ft/sec
The sidewalk moves at 0.5 ft/sec
Josie's speed walking on a non-moving ground is 3.5ft/sec
