Answer:
5
Step-by-step explanation:
First off find how many bowls and vases combined
12 bowls and 8 vases therefore 20
to find 1/4 of a number divide by 4
therefore, 20/4 is 5
Use the law of cosines to solve for angle A. Plug your known side length values into the equation a^2 = b^2 + c^2 – 2bc cos A.
Then use the law of sines to find angle B. (Sin A/a = Sin B/b = Sin C/c).
Because the two red angles within B are congruent, divide your angle measure in half.
From there, do the law of sines to solve for x. Good luck!
I hopes this helps
9514 1404 393
Answer:
9c² -4p²
Step-by-step explanation:
The product of a sum and difference of the same two terms is the difference of their squares:
(3c +2p)(3c -2p) = 3c(3c -2p) +2p(3c -2p)
= (3c)² -6cp +6cp -(2p)²
= (3c)² -(2p)² = 9c² -4p²
Answer:
The bill will be $26070.
Step-by-step explanation:
Your base plan costs you $30 a month
And each text sent or received is only 12 cents or $0.12.
Let the messages sent be = x
So, cost for messages become = 
Let total bill cost be = y
Now, total bill will comprise of monthly plan charges plus message charges.
So, equation forms:
Now, given is that In one month 217,000 messages were sent between two brothers in Philadelphia.
So, their approximate bill will be :
=>
=> y = 26070
Therefore, bill will be $26070.
Answer:
a. 30 percent.
Step-by-step explanation:
Given that:
The standard deviation of returns = 20 percent
Beta = 1.5
Beta=Standard deviation of portfolio × correlation/Standard deviation of market × Correlation
Since Correlation with the market will be +1;
Then;
The Standard deviation of portfolio = 1.5 × 20%
The Standard deviation of portfolio = 30.00%
