The leg of a right triangle is 5 units and the hypotenuse is 8 units. What is the length, in units, of the other leg of the tria
ngle?
1 answer:
You might be interested in
Answer:
22.5
Step-by-step explanation:
If you expand the series, you can see the first few terms of the series:
- Putting 1 in
,
- Putting 2 in
- Putting 3 in
- Putting 4 in
We can see the series is 0, 0.5, 1, 1.5, ....
This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.
We know formula for sum of arithmetic series:
Where,
denotes the nth partial sum
is the first term (in our case it is 0)
is the common difference (difference in term and the previous term) (in our case it is 0.5)
Substituting these into the formula, we get the 10th partial sum to be:
So the sum of the first 10 terms is 22.5. Third answer choice is right.
Answer:
Niles and Bob were traveling for 6 hours.
Step-by-step explanation:
The speed or rate at which an object is moving can be computed using the formula:
Here:
<em>s</em> = speed
<em>d</em> = distance traveled
<em>t</em> = time taken
It is provided that Niles and Bob sailed at the same time for the same length of time.
Speed of Niles sailboat is, <em>s</em>₁ = 6 mph.
Distance traveled by Niles' sailboat is, <em>d</em>₁ = 36 miles.
Speed of Bob's sailboat is, <em>s</em>₂ = 16 mph.
Distance traveled by Bob's sailboat is, <em>d</em>₂ = 96 miles.
It took both Niles and Bob the same time to travel the respective distance.
Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:
It took Niles 6 hours to travel 36 miles at 6 mph speed.
Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:
It took Bob 6 hours to travel 96 miles at 16 mph speed.
Thus, Niles and Bob were traveling for 6 hours.