Answer:
Catalina skates a total of 120 feet
Step-by-step explanation:
In order to determine how far she skates, create a right triangle. We know each legs' value with one being 30 and the other 40. Now we can find the hypotenuse by using the Pythagorean Theorem.
a^2 + b^2 = c^2
30^2 + 40^2= c^2
900 + 1600 = c^2
2500 = c^2
50 = c
Now that we have all 3 sides of the right triangle, add them together for the total distance.
30 + 40 + 50 = 120 feet
Subtract 4 and 1
4-1=3
distance or length of this line segment is 3
Answer:
m+2n+2p=16 tokens or m+2(n+p)= 16 tokens
Step-by-step explanation:
First, we must understand how many tokens they have.
Janie played the 3-token game four times, so she used 12 tokens (3n x 4 = 12). Jasmine played the 4-token game five times, so she used 20 tokens (4p x 5 = 20).
Added up, the girls have 32 tokens (12+20 = 32 tokens (t)).
In order to play a round of the three games, 9 tokens are required (m+n+p = 9 / 2+3+4 = 9) by each girl. (32t-18t=14) 14 tokens are left after taking a ride in every game each. 14 left divided by 2 will leave 7 more tokens for each girl. You can split these 7 tokens into an n+p = 7 tokens
Thus,
Each girl can ride as follows:
m+2n+2p=16 tokens or m+2(n+p)= 16 tokens
Answer: The first graph
Step-by-step explanation:
An asymptote is an imaginary line that the function is approaching but never reaching. y=2 is a horizontal line. Therefore by looking at the graphs, the first graph shows the two functions never approaching 2, but gets very close to it. Therefore it is the first graph.
Answer:
Step-by-step explanation:
<u>Find the measure of arc BD</u>
- m∠A = 1/2(arc BC - arc BD)
- 2*36° = 150° - arc BD
- arc BD = 150° - 72° = 78°
<u>Find the measure of arc DC</u>
- arc BD + arc BC + arc DC = 360°
- arc DC = 360° - (150° + 78°) = 360° - 228° = 132°
Correct choice is B
