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3 years ago

If A and B are two angles in standard position in Quadrant I, find cos( A + B) for the given function values.

1 answer:

3 0

You have to find the cos of angle A, so use the Pythagorean equation and trig laws to find the other side of the triangle created by angle A. 3^2 + x^2 = 5^2. x=4. This means cos(A) = 4/5). Make both cos (A) and cos (B) have equal denominators, and add. 148/185 + 60/185 = 208/185. This answer is correct, though it doesn’t appear to be any of the answers you wrote, so either those answers are wrong or you wrote something incorrectly in the problem.

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Evaluate $\dfrac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}$.

Pavlova-9 [17]

<h3>Answer: 4</h3>

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Work Shown:

$\frac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}\\\\\frac{2\sqrt{36*2}}{\sqrt{4*2}+\sqrt{2}}\\\\\frac{2\sqrt{36}*\sqrt{2}}{\sqrt{4}*\sqrt{2}+\sqrt{2}}\\\\\frac{2*6*\sqrt{2}}{2*\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{2\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{3\sqrt{2}}\\\\\frac{12}{3}\\\\4$

Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that $\sqrt{A*B} = \sqrt{A}*\sqrt{B}$ to break up the roots.

8 0

2 years ago

What is the hypothenuse of a right triangle with bases 13cm and 5cm?

NikAS [45]

To find the hypothenuse use Pythagorean theorem: 13²+5²=h²,
h=√13²+5²=13.93cm = hypothenuse.

5 0

3 years ago

45 POINTS At a high school football game, 4 out of every 7 students in line to buy a ticket wore a hat. If 350 students bought a

nataly862011 [7]

Step-by-step explanation:

Number of students who wore a hat

= 4/7 * Number of students who bought a ticket

= 4/7 * 350 students

= 200 students.

Number of students not wearing a hat

= Number of students who bought a ticket - Number of students who wore a hat

= 350 students - 200 students

= 150 students.

6 0

3 years ago

Read 2 more answers

⚠️URGENT PLS HELP <br><br>LINKS WILL BE REPORTED

Arte-miy333 [17]

Answer:

e and c

Step-by-step explanation:

4 0

3 years ago

Jen and some friends share 40 jellybeans equally. Is the number that each friend gets greater than 40 or less than 40? Explain

navik [9.2K]

Answer:

Less

Step-by-step explanation:

Interpreting this, total is 40, so if you are splitting that with multiple people, it can't be more than 40.

6 0

3 years ago