First we are going to find the common denominator of both fractions. To do that, we are going to multiply their denominators:

Now we can rewrite our expression using the common denominator:

Finally, we can use the trig identities:

and

to simplify our trig expression:
We can conclude that the correct answer is the fourth one.
Answer:
x = 31
Step-by-step explanation:
The 2 sides are congruent, meaning the 2 angles are equal so:
47 = x + 16
subtract 16 from both sides
31 = x
Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.
Step-by-step explanation:
Firstly, the yield for stocks will be calculated as:
= return/ investment cost
= $3.15/$ 21.38
= 0.14733395
= 14.73%
The yield for bonds will be calculated as:
= Return/Investment cost
Return = 1,000 x 8.3% = 83
Investment cost = 1,000 x 105.166/100 = 1051.66
Yield = 83/1051.66
= 0.07892284
= 7.89%
Then, the difference between the yield will be:
= 14.73% - 7.89%
= 6.84%
Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.
Answer:
H = 14.33 i think
Check in with me if it is wrong
When you plot the numbers on a graph or draw a histogram using them, you find the distribution shapes are
Lake A: ∩
Lake B: ∪
Lake C: ∩
Lake D: ∩
Apparently the weights of fish in Lake B have a U-shaped distribution.