Answer:
sin (- 135°)= – sin 135°= – sin (1 × 90°+ 45°) = – cos 45° = – 1√2
cos (- 135°)= cos 135°= cos (1 × 90°+ 45°) = – sin 45°= – 1√2
tan (- 135°) = – tan 135° = – tan ( 1 × 90° + 45°) = – (- cot 45°) = 1
csc (- 135°)= – csc 135°= – csc (1 × 90°+ 45°)= – sec 45° = – √2
sec (- 135°)= sec 135°= sec (1 × 90°+ 45°)= – csc 45°= – √2
cot (- 135°) = – cot 135° = – cot ( 1 × 90° + 45°) = – (-tan 45°) = 1
Step-by-step explanation:
hope this helps
Answer:
<em>4x+7y≤250</em>
Step-by-step explanation:
<u>Inequalities</u>
Let's call:
x = number of small rides
y = number of big rides
Since each small ride costs 4 tickets, x rides cost 4x tickets.
Since each big ride costs 7 tickets, y rides cost 7y tickets.
The total number of tickets is the sum of both:
Total tickets = 4x+7y
The friends have 250 tickets, so the total tickets of the rides cannot be greater than the 250 tickets available, thus:
4x+7y≤250
Answer:
UX ≈ 4.5
△UVW = 49.5 ft²
Step-by-step explanation:
[] We can assume that UX is the midline of this triangle.
22 ft / 2 = 11 ft
XW and VX = 11 ft
[] Now that we have 2 sides of a right traingle, we can find the third.
a² + 11² = 12²
a² + 121 = 144
a² = 20
a = about 4.5, which is side UX
[] Since we have all three sides of the triangle, we can also solve for the total triangle's area. To solve for the area of a triangle, we do base times height divided by 2
22 * 4.5 = 99
99 / 2 = 49.5 ft²
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
