Answer:
10%
Step-by-step explanation:
Choices: 2,3,4,5,6 for a total of 5 cards
odd numbers: 3,5
P (odd number) = odd options/ total
=2/5
Keeping the odd card ( lets say 3)
Choices: 2,3,4,6 for a total of 4 cards
odd numbers: 3
P (odd number) = odd options/ total
1/4
P(odd, no replacement, odd) = 2/5 * 1/4 = 2/20 = 1/10
Changing to a percent = 1/10 *10/10 = 10/100 = 10%
Answer:
see explanation
Step-by-step explanation:
(5)
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ cos²x = 1 - sin²x
Given
3sin²Θ + 2cos²Θ - 2
= 3sin²Θ + 2(1 - sin²Θ) - 2
= 3sin²Θ + 2 - 2sin²Θ - 2
= sin²Θ
(6)
Using the trigonometric identity
secx = 
Consider the left side
= 
= = secx = right side ⇒ verified
(7)
Using the trigonometric identity
1 + cot²x = csc²x
Given
sin²x. cot²x + sin²x ← factor out sin²x from each term
= sin²x(cot²x + 1)
= sin²x. csc²x
= sin²x × 
= 1
By the way, it's pi, not pie. just wanted you to know as you may lose marks in tests for spelling (but i may be wrong)
we know circumference is pi multiplied by the diameter.
the diameter is 2x the radius
we can re-arrange the first fact to get:
diameter (or 2x radius) = circumference divided by pi.
since the circumference is 24pi we can cancel off pi from the circumference (24pi) and pi.
now we have the diameter = 24
since the diameter is 2x the radius you divide both sides by 2 and get:
radius=12cm
Answer:
52 miles/week (12 more miles per week)
Step-by-step explanation:
In order to know the miles per week with this increasement, we'll use the rule of 3, assuming that 40 miles is the 100% innitially so:
If:
40 miles --------->100%
X miles ----------> 30%
Solving for X we have the following:
X = 30 * 40 / 100 = 12 miles
So, if Adam wants to increase his weekly mileage by 30%, he needs to run 12 more miles, and that makes a total of 52 miles/week
Answer:
The wheels have to rotate 500 times
Step-by-step explanation:
The wheel is 1 meter in diameter so we need to find the circumference.
C = 2
r
C = 21
C= 2
2meters = .002kilometers
1000meters = 1kilometer
1000/2 = 500
