<h2>
Answer:</h2>
The equation that will be used to find t is:
![3(2-t)+1.5t=5](https://tex.z-dn.net/?f=3%282-t%29%2B1.5t%3D5)
<h2>
Step-by-step explanation:</h2>
Total distance that is traveled by Amir is: 5 miles.
and the total time taken by him is: 2 hours.
On the first part of the hike, Amir averaged 3 miles per hour.
Let t denote the time he spent hiking during the second i.e. difficult part of the hike.
- Hence, the time he spent in first part of hike is: 2-t
( Since, the total time was 2 hours)
Also, we know that:
![Distance=Speed\times Time](https://tex.z-dn.net/?f=Distance%3DSpeed%5Ctimes%20Time)
Hence, distance traveled in first part of hike is:
![Distance=3\times (2-t)](https://tex.z-dn.net/?f=Distance%3D3%5Ctimes%20%282-t%29)
- Now, the distance he will travel in second part of hike will be: 5-3(2-t)
Since the total distance traveled by him is 5 miles.
It is given that his speed decreased to 1.5 miles per hour.
Now, we know that:
![Time=\dfrac{Distance}{Speed}](https://tex.z-dn.net/?f=Time%3D%5Cdfrac%7BDistance%7D%7BSpeed%7D)
Hence, time spent by him in second part of hike is:
![t=\dfrac{5-3(2-t)}{1.5}\\\\i.e.\\\\1.5t=5-3(2-t)\\\\i.e.\\\\3(2-t)+1.5t=5](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B5-3%282-t%29%7D%7B1.5%7D%5C%5C%5C%5Ci.e.%5C%5C%5C%5C1.5t%3D5-3%282-t%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5C3%282-t%29%2B1.5t%3D5)
Answer:
Width is 14 ft, length is 28 ft
Step-by-step explanation:
We know that the length is twice as long as the width. This can be represented by L=2W.
The equation to solve this is 84=W+W+L+L. We can replace both the L variables with 2W, since that is what L equals.
84=W+W+2W+2W. We simplifiy to get 84=6W. We divide 84 by 6 and get W=14.
Now that we know the width, finding the length is easier. L=2(14). L=28 ft.
To check our math we can do 28+28+14+14. 56+28=84 ft.
Therefore, the width is 14 ft and the length is 28 ft.
Answer:
10=y/11-13
We move all terms to the left:
-10-(y/11-13)=0
-y/11+13-10=0
We multiply all the terms by the denominator
-y+13*11-10*11=0
We add all the numbers together, and all the variables
-1y+33=0
We move all terms containing y to the left, all other terms to the right
-y=-33
y=-33/-1
y=+33
Answer:
1a the scatter plot models the heart
Sector area = (Central Angle (Degrees) / 360) * PI * radius^2
One way to solve this is that an angle of (PI/4) = 45 degrees.
45 degrees is one eighth of a circle.
Area of ENTIRE circle = PI*radius^2 = PI * 3^2 =
<span>
<span>
<span>
28.2743338823
</span>
</span>
</span>
square centimeters
Area of the sector is one eighth of this =
<span>
<span>
<span>
3.5342917353
</span>
</span>
</span>
<span><span>
</span>
</span>
square centimeters