the surface area of the above triangular prism is 156 square inches.
Step-by-step explanation:
multiply the sum of the triangle sides by the height of the prism and add the values together for the answer, remembering to include the correct unit of measurement.
Answer:
50,000 ≤ 23,210 + 5x
x = Average number of words per week
Step-by-step explanation:
Start off with 50,000 because that's how many words the paper needs to have.
Use "≤" because Trevor needs to write at least 50,000 words. (He can write more).
Trevor already wrote 23,210 words plus x words per week for 5 weeks.
(Solving for x will help you find the average number of words Trevor must write per week for 5 weeks).
Answer:
a^2b^7
Step-by-step explanation:
dividing exponents is basically subtracting the top exponent by the bottom. So, 3 - 1 = 2, thus giving you a^2, and 9 - 2 = 7, giving you b^7
ANSWER: y=6
straight lines are 180° and all the angles in a triangle add up to 180°
Answer:
Step-by-step explanation:
Let 
, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
(1)
(2)
Now we perform the operations: 
(3)
By the quadratic formula, we find the following solutions:
and 
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:
By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:
Then, the values of the cosine associated with that angle is:
Now, we have that 
, we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
(4)
(5)
If we know that and , then the value of the function is:
