Answer:
88/7 ft = 12.6 ft (nearest tenth)
Step-by-step explanation:
Circumference of a circle = 2
r
<u>Radius of inner circle</u>
Given:
- circumference of inner circle = 22ft
= 22/7
⇒ 22 = 2 x (22/7) x r
⇒ r = 3.5
So the radius of the inner circle is 3.5 ft
<u>Radius of outer circle</u>
If the distance between the inner circle and the outer circle is 2 ft, then the radius of the outer circle = 3.5 + 2 = 5.5
<u>Circumference of outer circle</u>
Therefore, circumference of outer circle:
= 2 x (22/7) x 5.5
= 242/7 ft
<u>Difference between circumferences</u>
Difference = outer circle circumference - inner circle circumference
= 242/7 - 22
= 88/7 ft
= 12.6 ft (nearest tenth)
90 + 3 + 4 = 97
Your answer is 97.
Answer:
Step-by-step explanation:
- x + y + z = -3 --> (1)
- 3y - z = 4 --> (2)
- 2x - y - 2z = -5 --> (3)
<u>Add up (1) and (2)</u>
- x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)
<u>Double (2) and subtract from (3)</u>
- 2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
- 2x - 7y = -13 --> (5)
<u>Double (4) and subtract (5)</u>
- 2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1
<u>Finding x</u>
- x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3
<u>Finding z</u>
<u>So the answer is: </u>
Answer:
Therefore his average speed for the entire trip is 8 mph.
Step-by-step explanation:
Given, In 50 minutes Luis traveled uphill to gift store at 6 mph.
6 mph means in 1 h= 60 minutes Luis can covered 6 mile.
In 1 minutes Luis can covered
mile.
In 50 minutes Luis can covered
mile
= 5 mile
Again when he come back at home, the speed was 12 mph.
12 mph means in 1 h= 60 minutes Luis can covered 12 mile.
Therefore he traveled 12 mile in 60 minutes
He traveled 1 mile in
minutes.
He traveled 5 mile in
minutes
= 25 minutes.
Total distance for the entire trip is =(5+5) mile=10 mile
Total time for the entire trip is = (50+25) minutes = 75 minutes

m/min
mph
= 8 mph
Therefore his average speed for the entire trip is 8 mph.
This is the famous Fibonacci frequence. it's by adding the 2 terms in front. like 2 + 3, so the next term is 5. and 5+ 8, the next term is 13.