Solving the triangle requires solving all of the dimensions involve in the polygon given. We are given an angle, and two of the sides of the triangle. We can solve the third side by using the law of cosines.
b² = a²+c²-2accos(B)
b² = 38² + 18² - 2(38)(18)cos(36)
b = 25.7
We use the law of sines to solve for the angles.
a/sinA = b/sinB
38/sinA = 25.7/sin36
A = 60.4°
C = 180 - 36 - 60.4 = 83.6°
Answer:
y = 12.9
Step-by-step explanation:
To find the value of the side y, simply apply the law of cosines.
y^2 = (14)^2 + (9)^2 - 2(14)(9)cos(64)
y^2 = 196 + 81 - 110.47
y^2 = 166.53
y = 12.9
Therefore, your solution should be y = 12.9
Cheers.
Answer:
The reciprocal of 5 is 1/5. Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal. Reciprocals are used when dividing fractions.
Hope this helps have a good day and God bless! <3
The sum of first 20 terms of Arithmetic Series is 650 if the first term is 4 and the common difference is 3.
Step-by-step explanation:
First Term (a) = 4
Common difference (d) = 3
The number of term (n) = 20
The sum of an Arithmetic series of (n) number of terms, with first term (a) and the common difference (d) is equal to
Sum = (n/2) * ( 2 * a + (n -1) * d)
So putting the values of a,d, n
Sum = ( 20/2) * ( 2 * 4 + (20 -1) *3 )
Sum = (10) * ( 8 + 19 * 3)
Sum = 10 * ( 8 + 57)
Sum = 10 * 65 = 650
Hence the sum of first 20 terms of Arithmetic Series is 650 if the first term is 4 and the common difference is 3.
