Answer:
C
Step-by-step explanation:
Using the sine ratio in the right triangle
sin53° =
= ![\frac{x}{45}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B45%7D)
Multiply both sides by 45
45 × sin53° = x, hence
x ≈ 35.94 → C
Answer:
None of those options
Step-by-step explanation:
I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options. Here's my work:
![-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B6%7D%20%3Dz%2B%5Cfrac%7B1%7D%7B8%7D%5C%5C-%5Cfrac%7B5%7D%7B8%7D-%5Cfrac%7B1%7D%7B8%7D%3Dz%5C%5C-%5Cfrac%7B40%7D%7B48%7D-%5Cfrac%7B6%7D%7B48%7D%3Dz%5C%5C-%5Cfrac%7B46%7D%7B48%7D%3Dz%5C%5C-%5Cfrac%7B23%7D%7B24%7D)
I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)
Answer:
- The first car costs $40 and the price difference is $5
Step-by-step explanation:
<u>Given:</u>
- There are 17 cars with the price as an AP sequence.
- The total of 17 is $1360
<u>The total of last 3 is $345, it means the total of the first 14 is:</u>
<u>Use the sum of the first n terms formula, consider the first term is a and common difference is d:</u>
<u>Find it at n = 14 and n = 17:</u>
- S₁₄ = (2a + 13d)*14/2 = 1015 ⇒ 2a + 13d = 1015/7 ⇒ 2a + 13d = 145
- S₁₆ = (2a + 16d)*17/2 = 1360 ⇒ 2a + 16d = 2*1360/17 ⇒ 2a + 16d = 160
<u>Subtract the equations and solve for d:</u>
- 16d - 13d = 160 - 145
- 3d = 15
- d = 5
<u>Find the value of a:</u>
- 2a + 13*5 = 145
- 2a + 65 = 145
- 2a = 80
- a = 40
Let's say the diameter of the larger gear is "x".
the small one has a diameter of 16cm, we know that, this is 2.5 more than (1/4)x.
Answer:
ooo easy
Step-by-step explanation: