Let's apply the Law of Cosines here. We want the measure of the angle opposite the side with length 16.
Call that angle C.
Then 16^2 = 36^2 + 28^2 - 2(36)(28)cos C.
Solving for C: cos C = 16^2 - 36^2 - 28^2
------------------------- = 0.904, and C = 0.44 rad
-2(28)(36) or C = 25.21 degrees
So each of the 2 equal angles shown has the measure 25.21 degrees.
Unfortunately, I don't know the direction we should go from this point on.
Answer:
The number is 48
Step-by-step explanation:
First, let's call the number we are looking for n.
We can then write "two-thirds of the number" as 2/3n
We can also write "one-half of a number" as 1/2n
Finally, we are told 1/2n is the same as 2/3n −8 or: 1/2n = 23n −8
We can now solve for n: 1/2n − 2/3n = 2/3n −8 − 2/3n 1/2n − 2/3n = −8We next need to get the fractions over common denominators, in this case, 6 by multiplying each fraction by the necessary for of 1: (3/3) 1/2n − (2/2) 2/3n = −8 3/6n − 4/6n = −8 − 1/6n = −8.
We can finally solve for n by multiplying by -6 to isolate n −6 ⋅(−1/6)n = −8⋅ − 6
1n = 48
n =48
Answer:
1 dimes and 9 quarters
Step-by-step explanation:
9 quarters = 2.75
1 dime = 10c
all together equals 2.85
Answer:
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
Hence the numbers are 4 and -3
Answer: The axis of symmetry is x = –4.
The domain is all real numbers.
The x-intercepts are at (–6, 0) and (–2, 0).
Step-by-step explanation:
