Answer:
The answer to your question is 13.2 ft
Step-by-step explanation:
Data
length of the ladder = hypotenuse = 16 ft
adjacent side = 9 ft
opposite side = ?
Process
1.- To solve this problem use the Pythagorean theorem
c² = a² + b²
Solve for b²
b² = c² - a²
2.- Substitution
b² = 16² - 9²
3.- Simplification
b² = 256 - 81
b² = 175
b = 13.2 ft
4.- Conclusion
The ladder is 13.2 ft resting against the building.
Answer:
Length = 12 feet, Width = 10 feet
Step-by-step explanation:
Let the length of the bedroom be 'x' ft and the width of the bedroom be 'y' ft.
We know that the perimeter of a rectangle is given by,
![P=2(\text {length}+\text {width})](https://tex.z-dn.net/?f=P%3D2%28%5Ctext%20%7Blength%7D%2B%5Ctext%20%7Bwidth%7D%29)
![P=2(x+y)](https://tex.z-dn.net/?f=P%3D2%28x%2By%29)
It is given that, the length of the bedroom is 2 more than the width, so,
![x=y+2](https://tex.z-dn.net/?f=x%3Dy%2B2)
Putting the values in the equation of perimeter we get,
![44=2((y+2)+y)](https://tex.z-dn.net/?f=44%3D2%28%28y%2B2%29%2By%29)
![44=2(2y+2)](https://tex.z-dn.net/?f=44%3D2%282y%2B2%29)
![\frac{44}{2}=2y+2](https://tex.z-dn.net/?f=%5Cfrac%7B44%7D%7B2%7D%3D2y%2B2)
![22=2y+2](https://tex.z-dn.net/?f=22%3D2y%2B2)
![2y=22-2](https://tex.z-dn.net/?f=2y%3D22-2)
![y=\frac{20}{2}=10](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B20%7D%7B2%7D%3D10)
Therefore, ![x=y+2=10+2=12](https://tex.z-dn.net/?f=x%3Dy%2B2%3D10%2B2%3D12)
Hence, the length of the bedroom is 12 feet and the width of the bedroom is 10 feet.
Answer: 5.5%
Step-by-step explanation:
Since the money invested has grown to $8300 and the principal was $600, this means the interest is:
= $8300 - $6500
= $1800
Simple interest = (Principal × Rate × Time)/100
1800 = (6500 × Rate × 5)/100
Cross multiply
1800 × 100 = 32500 × Rate
Rate = 180000/32500
Rate = 5.5%
Answer:
( -1/2, -2 1/2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
( -2+1)/2 = -1/2
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
( -1+-4)/2 = -5/2 = -2 1/2
( -1/2, -2 1/2)
Maybe you need to plot some points on the graph. Do you have any instructions for the assignment?