Answer:
f=127 cm
Step-by-step explanation:
Law of Cosine:
x squared=92 squared+42 squared-2(92)(42)(cos 141)
x squared =8464+1764-7728(cos 141)
x=127 cm
Answer:
15
Step-by-step explanation:
When you find the sum of 3 and 5 you get 8, which represents the total number of vehicles used in the trucks to cars ratio.
This means that the ratio of cars to total vehicles in this ratio is 5 to 8. Because there are 24 vehicles in the parking lot, and 8 × 3 = 24, you can multiply the entire ratio by three to get your answer:
5 to 8 ⇒ 15 to 24
Therefore, the number of cars in the parking lot is 15.
Answer:
6x² – 10y² + 2xy + 10
Step-by-step explanation:
We'll begin calculating the sum of
x² + 3y² – 6xy and 2x² – y² + 8xy + 8
This can be obtained as follow:
... x² + 3y² – 6xy
+ 2x² – y² + 8xy + 8
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
3x² – 2y² + 2xy + 8
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Next, we shall determine the sum of:
–3x² + 4y² + 3 and 4y² – 5
This can be obtained as follow:
–3x² + 4y² + 3
+ 4y² – 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
–3x² + 8y² – 2
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Finally, we shall subtract the sum of:
–3x² + 4y² + 3 and 4y² – 5
from the sum of:
x² + 3y² – 6xy and 2x² – y² + 8xy + 8
This can be obtained as follow:
.. 3x² – 2y² + 2xy + 8
– (–3x² + 8y² – 2)
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
6x² – 10y² + 2xy + 10
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Answer:
95°
Step-by-step explanation:
- <em>Sum of 3 angles of a triangle equals to 180°</em>
<u>Here we have angles of 30° and 55°, so the remaining angle is:</u>
