Answer:
The measure of ∠O is 97.2° to the nearest tenth
Step-by-step explanation:
To solve this question, we will use the cosine rule
In Δ OPQ
Side o is opposite to ∠O
Side p is opposite to ∠P
Side q is opposite to ∠Q
By using the cosine rule
∵ o² = p² + q² - 2(p)(q)cos∠O
∵ o = 6.6 inches
∵ p = 2.1 inches
∵ q = 6 inches
→ Substitute them in the rule above
∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O
∴ 43.56 = 4.41 + 36 - 25.2cos∠O
→ Add the like terms in the right side
∴ 43.56 = 40.41 - 25.2cos∠O
→ Subtract 40.41 from both sides
∵ 3.15 = -25.2cos∠O
→ Divide both sides by -25.2 to find cos∠O
∴ -0.125 = cos∠O
→ Use your calculator to find ∠O
∵ m∠O = ![cos^{-1}(-0.125)](https://tex.z-dn.net/?f=cos%5E%7B-1%7D%28-0.125%29)
∴ m∠O = 97.18075578
→ Round it to the nearest tenth ⇒ 2d.p.
∴ m∠O = 97.2°
A Kuna Matata lol you get the joke?
Answer:
Hi. 9/14 is a fraction already. Maybe you meant decimal?
Step-by-step explanation:
Answer:
it should be 816
Step-by-step explanation:
You have to jusitfy the step that leads from sin (x) = a/c and cos(x) = b/c to sin^2 (x) + cos^2(x) = [a^2 / c^2] + [b^2 / c^2].
As you can see go from the first statement to the second by substituting the value of sin(x) by a/x and the value of cos(x) by b/c.
Then, the answer is the option b. substitution property of equality.