Let's use the formula to find the perimeter of a rectangle.
2l+2w=120
We know that the length is twice its width; the equation would be:L=2w
We can plug that in to the formula.
2(2w)+2w=120
4w+2w=120
6w=120
120÷6=20=w
Since the length is twice its width, 20×2=40. The length is 40 cm.
The width is 20 cm.
Tell me if this helps!!
The dog will need about 8 cans for the next six days.
Answer:
They rode 14 miles before replacing each horse
Step-by-step explanation:
We will be working under the assumption that all three riders sat on one horse at a time and rode it while the other horses rested.
From the problem, we can understand that the horses were each ridden for the same distance. This means that to get the total distance a horse rode before it was changed, we can divide the total distance by the number of horses that were used for the journey.
Distance each horse rode = 182/ 13 = 14 miles.
Therefore, each horse was ridden for 14 miles before it was changed.
9514 1404 393
Answer:
- 13 ft
- (a) 1 second; (b) t = 0, t = 1/2
Step-by-step explanation:
<h3>1. </h3>
Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...
5² +(w -1)² = w²
w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms
26 = 2w . . . . . . . . . . . . add 2w
13 = w . . . . . . . . . . . . divide by 2
The length of the wire is 13 feet.
__
<h3>2. </h3>
(a) When h = 0, the equation is ...
0 = -16t^2 +8t +8
Dividing by -8 puts this into standard form:
2t^2 -t -1 = 0
Factoring, we get ...
(2t +1)(t -1) = 0
The positive value of t that makes a factor zero is t = 1.
It will take 1 second for the gymnast to reach the ground.
__
(b) When h = 8, the equation is ...
8 = -16t^2 +8t +8
Subtract 8 and divide by 8 to get ...
0 = -2t^2 +t
0 = t(1 -2t) . . . . factor out t
Values of t that make the factors zero are ...
t = 0
t = 1/2
The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.