TRIG DEFINITIONS
What is pythagorean theorem?
What is a2 + b2 = c2
Draw triangle ABC such that ∠C = 90°, ∠B=50°, and AB=15cm. Find the length of side BC to the nearest tenth.
AB = 9.6cm
There are three people (Alex, Bailey, and Carter), one of whom is a knight, one a knave, and one a spy. The knight always tells the truth, the knave always lies, and the spy can either lie or tell the truth. Alex says: "Carter is a knave.” Bailey says: "Carter is a knight.” Carter says: "I am the spy.” Who is the knight, who the knave, and who the spy?
Carter can’t be the knight, because then their statement would be a lie. So that must mean Alex or Bailey is the knight. Alex is the knight. Bailey, therefore, must be the spy, since the spy sometimes tells the truth; leaving Carter as the knave.
Who was the host of Jeopardy until his passing in 2020?
Who is Alex Trebek?
What does SOH CAH TOA stand for? Draw a triangle to demonstrate this.
What is
sinθ = opposite/hypotenuse
cosθ = adjacent/hypotenuse
tanθ = opposite/adjacent
Draw triangle ABC such that ∠C = 90°, BC = 7cm and AB=19cm. Find ∠A to the nearest tenth.
21.6°
You have an 8L, 5L, and 3L bucket. They do not have measurement lines and you cannot weigh them. How do you measure exactly 4L without wasting water?
Multiple answers <3
What is the highest-rated film on IMDb as of January 1, 2024?
*hint- it stars Morgan Freeman*
What is Shawshank Redemption?
What is the angle of depression? Draw a diagram.
What is the angle one has to look down from the horizontal to see something on a lower level.
An isosceles triangle has two sides with lengths of 15cm. The angle between the two sides measures 75°. What is the length of the remaining side of the triangle? (to the nearest tenth)
18.3cm
There are humans and horses in a stable. In total, there are 28 heads and 82 feet. How many humans and horses are there in the stable?
15 humans and 13 horses
DOUBLE POINTS FOR BOTH ANSWERS:
Finish the lyric:
"He says, Son, can you play me a memory?
I'm not really sure how it goes. But it's ___ __ __ ____ ___ _ ____ __ _______ when I wore a younger mans clothes"
Bonus points if you can name the artist and the song.
sad and it's sweet and I knew it complete.
Billy Joel - Piano Man
What is Trigonometry?
The mathematical relationship between the angles of a triangle and the side lengths of triangles.
A fire tower is 40 meters high. The angle of elevation from a campfire to the ranger at the top of the tower is 12 degrees. Find the distance from the campfire to the base of the tower, to the nearest cm.
188.2 cm
Val signed up for two games at her schools fun night. Seven other people were also assigned, making it four pairs of partners (partners sit beside each other). The other members of her group were Kamil, Ross, Rachel, Phoebe, Joey, Chandler, and Monica. When the games started, Kamil and his partner were to the left of Joey. Across from Kamil was Rachel, who was to the right of Ross. Kamil’s brother’s partner, Monica, was across from Joey. Val was not on Joey’s right.
multiple answers
What year was the first iPhone released?
When is 2007
What is the difference between finding the value of sinθ and solving for sinθ?
What is determining the value is the ratio between the sides of the triangle. AKA Opp/Hyp.
Solving for sinθ involves using the inverse sine to determine the angle θ.
An airplane is flying at an elevation of 6500 feet, directly above a straight highway. The pilot spots two cars on the highway in front of him. The angle of depression to one car is 23° and the angle of depression to the other car is 18°. How far apart are the cars? Round your answer to one decimal place.
4691.9 ft.
The host, Monty Hall, offers you a choice of three doors. Behind one is a sports car, but behind the other two are goats. After you have chosen one door, he reveals one of the other two doors behind which is a goat (he wouldn't reveal a car). Now he gives you the chance to switch to the other unrevealed door or stay at your initial choice. You will then get what is behind that door. You cannot hear the goats from behind the doors, or in any way know which door has the prize.
Should you stay, or switch, or doesn't it matter?
Your first choice has a 1/3 chance of having the car, and that does not change.
The other two doors HAD a combined chance of 2/3, but now a Goat has been revealed behind one, all the 2/3 chance is with the other door.
You better switch!
What year did the show 'Friends' air?
Bonus points if you know the MONTH.
When is September 22, 1994