Sin α = 12/13 opposite/hypothenue
cos α = 5/13 adjacent/hypothenue
tan α = 12/5 opposite/adjacent
Answer:
There's no direct variation
Step-by-step explanation:
Required
Determine if there's a direct variation between the number and its position
I'll start by giving an illustration of how the triangle is represented using stars (*)
*
**
***
****
*****
Represent the line number with y and it's position with x
On line 1:
y = 1, x = 1
On line 2:
y = 2, x = 3
On line 3:
y = 3, x = 6
On line 4:
y = 4, x = 10
On line 5:
y = 5, x = 15
Note that, x is gotten by calculating the accumulated number of stars while y is the line number.
Direct variation is represented by
y = kx
Or
kx = y
Where k is the constant of variation
For line 1:
Substitute 1 for y and 1 for x
k * 1 = 1
k = 1
For line 2:
Substitute 2 for y and 3 for x
k * 3 = 2
Divide through by 3
k = ⅔
Note that the values of k in both computations differ.
This implies that there's no direct variation and there's no need to check further.
Answer:
219.6 days
Step-by-step explanation:
Answer:
Step-by-step explanation:
Method 1: Calculate 40% discount on original price, then subtract discount from original price.
Amount of discount = 40% of $30
= 0.40 × $30
= $12
New price = $30 - $12 = $18
Method 2:
New price = (100% - discount percentage) of original price
= 60% of original price
= 0.60 × $30
= $18
The correct answer is option (c) <span>P(not a hit) = 0.636
</span>The batting average of the baseball player =

= 0.364
Now, the probability of occurrence of any event is say, P, the probability of not occurrence of the event is given as = 1 - P
Therefore, <span>the probability that he will not get a hit at his next at bat = 1- 0.364 = 0.636</span>