We will use the Cosine law:
c² = a² + b² - 2 a b cos C
In this case:
15² = 10² + 7² - 2 · 10 · 7 cos K
225 = 100 + 49 - 140 cos K
76 = - 140 cos K
cos K = - 76 / 140
cos K = - 0.5428
∠ K= cos ^(-1) ( -0.5428 ) = 122.88° ( the largest angle )
49 = 100 + 225 - 2 · 10 · 15 cos J
- 276 = -300 cos J
cos J = 0.92
∠J = cos ^(-1) 0.92 = 23.08° ( the smallest angle )
122.8° - 23.08° = 99.8°
Answer: D )
Answer:
<em>S = 151°</em>
Step-by-step explanation:
Recall that the sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.
Here we have a polygon with 5 sides (n=5), so the sum of its interior angles must be
(5-2)*180 = 540°
So
P+Q+R+S+T = 540°
(10x-3)+(5x+2)+(7x-11)+(13x-31)+(8x-19) = 540°
43x - 62 = 540
43x = 540 + 62
43x = 602
x = 602/43
x = 14°
The angle S equals 13x - 31 = 13*14 - 31 = 151°
S = 151°
You can compute all the other angles as well.
Answer:
Step-by-step explanation:
Step 1. Calculate the number of capsules
Marilyn takes 2 capsules per day
Step 2. Convert capsules to milligrams
There are 20 mg in each capsule.
Answer:
We conclude that the recursive formula would be:
aₙ = aₙ₋₁ + 4
Step-by-step explanation:
Given the sequence
14, 18, 22, 26, 30, .
Determining the common difference between the adjacent terms
18-4 = 22, 22-18 = 4, 26-22 = 4, 30-26 = 4
As the common difference is same.
i.e. d = 4
Thus, this sequence represents the Arithmetic sequence.
also
a₁=14
As the common difference d=4, meaning the next term (aₙ₋₁) can be obtained by adding 4 to the previous term.
Thus, the recursive formula would be:
aₙ = aₙ₋₁ + 4
VERIFICATION
Given
a₁=14
Put n = 2 to get the next term i.e. (a₂).
Using the recursive formula
aₙ = aₙ₋₁ + 4
a₂ = a₂₋₁ + 4
= a₁ + 4
= 14 + 4
= 18
Thus, a₂ = 18 can be obtained by adding 4 to the previous term.
Therefore, we conclude that the recursive formula would be:
aₙ = aₙ₋₁ + 4
Answer:
There is a 1/10 chance you draw an A and then D 10% chance
Step-by-step explanation:
Probablitiy of drawing a D is 1/5, If the card is not replaced, then there are only 4 cards left. Probability of drawing an A is 2/4 (1/2)
1/5 x 2/4
1 x 2 = 2 2/2 = 1
5 x 4= 20 20/2 = 10