The Set Up:
x² = (Side1)² + (Side2)² - 2[(Side1)(Side2)]
Solution:
cos(Toby's Angle) • x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44x =
√4804.56x = 69.31m
The distance, x, between two landmarks is 69.31m.
Note: The answer choices given are incorrect.
Answer:
x≥38 points
Step-by-step explanation:
Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of the season, he scored a total of 256 points. Which inequality can be used to find x, the number of points Julio must average per game during the rest of the season to break the record?
julio has a 24 game basketball season.
he has played 8, it means there are 16 more games to go
therefore=
he has scored 256 nts, wic means there are still 608 points to go .
864-256=608
x is the points he more score per every game.
16x=608
to break the records ,he must score an extra point 1
so 16x≥608
x≥38
Refer to the diagram below.
Because ray NP bisects ∠MNQ, therefore
∠MNP = ∠PNQ = 2x + 1.
Therefore
∠MNQ = 2*∠PNQ = 2(2x + 1) = 4x + 2.
Because ∠MNQ is given as x² - 10, therefore
x² - 10 = 4x + 2
x² - 4x - 12 = 0
(x + 2 )(x - 6) = 0
x = -2, or x = 6
When x = -2,
∠MNQ = 4*(-2) + 2 = -6°
This answer is not acceptablle, therefore x = -2 should be rejected.
When x = 6,
∠MNQ = 4*6 + 2 = 26°
Answer: x = 6, and ∠MNQ = 26°
T( 1.50+ 1.25) + 10.00 < 20.00
2.75t + 10.00 < 20.00
2.75t < 10.00
T < 3.63
Partial bulbs and puts can't be bought, so Anika cannot spent the full $20.00.
Therefore, t < 3 if t can be a whole number.