Answer:
The positive angle that less than 360° and is conterminal with -289° is 71°
Step-by-step explanation:
- When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
- When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis
- To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°
Let us solve the question
∵ The measure of the angle is -289°
→ Add its measure by 360° to find the positive angle that is conterminal
with it
∵ The measure of the positive angle = -289° + 360°
∴ The measure of the positive angle = 71°
The positive angle that less than 360° and is conterminal with -289° is 71°
Do 13 x 13 x 13.
13 x 13 x 13 = 2197 in3
Hope this helps!
Think: (distance traveled by faster car) - (distance traveled by slower car) = 35 mi.
Using the formula distance = rate times time, we get for the faster car:
(55 mph)(t)
and for the slower car we get (50 mph)(t), so that
(55 mph)(t) - (50 mph)(t) = 35 mi. This can be simplified as follows:
(5 mph)(t) = 35 mi. Dividing both sides by 5 mph, we get t = (35 mi) / (5 mph).
Then t = 7 hours. The two cars will be 35 miles apart, going in the same direction, after 7 hours.
So we know that the area of a full circle is pi multiplied by radius squared
But for a semicircle the area is pi multiplied by radius squared divided by two
So, we do 3.14*3^2/2
Which is 14.13
Baseball cards
We know two things:
Gaetano had 52 cards on 3 years
Gaetano had 108 cards on 7 years
Then, from the fourth year to the seventh year he added
108 - 52 = 56 cards
In four years he added 56 cards. Then each year he added
56/4 = 14 cards
Since
14 * 3 = 42
On the first three years he added 42 cards to his collection.
Then he started with
52 - 42 = 10 cards
Answer: Gaetano started his collection with 10 cards and he adds 14 new cards to it each year
