Answer:
<em>2.983 </em>ft/sec
Step-by-step explanation:
Given that
Distance between center and Jasmine riding on a carousal = 9.5 feet
Time taken to complete one rotation = 20 seconds
To find:
Jasmine's linear speed = ?
Solution:
Number of revolutions per minute = 
Formula for linear speed is given as:
Where 
is the radius of circular path and
is the number of revolutions per minute.
Therefore, the linear speed is <em>2.983 ft/sec.</em>
Answer:
(-5.77, 6.46)
Step-by-step explanation:
15x + 9y = 45 ----------- i
9x + 8y = 12----------------ii
Multiply equation i by 9 the coefficient of x in equ ii
And equation ii by 15 the coefficient of x in equ I
9 x 15x + 9y = 45 ----------- i
15 x 9x + 8y = 12----------------ii
135x+81y = 405
135x+120y= 180
Subtract equation ii from I
135x-135x+81y-(+120y)= 405-180
-39y=225
y = 225/-39 = -5.77
Insert the value of y in equ i
15x + 9y = 45
15x+9(-5.77) = 45
15x-51.92=45
15x = 45+51.92
15x= 96.92
x = 96.92/15= 6.46
(x,y) = (-5.77, 6.46)
x = 6.92/15
The supplies travelled 45ft and it took 0.6min to get to the next floor.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics dealing with the relationship between the sides of a triangle and the angles.
Analysis:
The supplies distance travelled, distance of first floor from second floor and the ground form a right angled triangle.
so that sin 60 = 39/distance travelled by supplies
distance travelled by supplies = 39/sin 60 = 39/0.866 = 45 feet.
speed = distance / time
time = distance / speed = 45/70 = 0.6 min
In conclusion, the distance and time time taken for the supplies to get to the next floor is 45feet and 0.6 min respectively.
Learn more about trigonometry: brainly.com/question/24349828
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The answer is 12.65 , your welcome
<h2>
Answer:</h2><h2>Option (i), (iv) and (v) are correct</h2>
Step-by-step explanation:
Cylinder volume = 703 
, height = 18.5 cm
(i) Volume or area of the cylinder = 
The formula for the volume of a cyclinder can be applied to find the area of the base.
Option (i) is correct
(ii) Volume or area of the cylinder =
The volume should be divivded by height to get the area
Option (ii) is wrong
(iv) Area of the base = 
= 38
Option (iv) is correct
(iii) The radius of the cyclinder is half the height.
= 19 cm not 18.5 cm
Option (iii) is wrong
(v)Area of the base = = 38
Option (v) is correct
