Answer:
![\frac{24}{25}](https://tex.z-dn.net/?f=%20%5Cfrac%7B24%7D%7B25%7D%20)
Step-by-step explanation:
using the cosine ratio;
![\cos(\theta)= \frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%20%5Ccos%28%5Ctheta%29%3D%20%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20)
From the question, the side of the right angle triangle that is adjacent to the measured <a,(i.e BAC) is AC=24 and the hypotenuse is AB=25
This implies that,
![cos(a)= \frac{24}{25}](https://tex.z-dn.net/?f=cos%28a%29%3D%20%5Cfrac%7B24%7D%7B25%7D%20%20)
The rectangle has a perimeter P of 58 inches.The length l is one more than 3 times the width w.write and solve a system of linear equations to find the length and width of the rectangle?
Answer:
Length(L)=22 inches
Width(W) = 7 inches
Step-by-step explanation:
GIven:-
Perimeter (p)=58 inches,
Length(L)= one more than 3 times the width(W)
Let, W=x ---------------------------------(equation 1
-----------------------(equation 2)
Here x is unknown and to find the Width(W) we have to find the value of x.
Now,
Perimeter of rectangle(p) = 2 times length(L) + 2 times width(W)
![p=2L+2W](https://tex.z-dn.net/?f=p%3D2L%2B2W)
----------------(from equation 1)
----------------(given p=58 inches)
![58=8x+2](https://tex.z-dn.net/?f=58%3D8x%2B2)
![8x=58-2](https://tex.z-dn.net/?f=8x%3D58-2)
![8x=56](https://tex.z-dn.net/?f=8x%3D56)
![x=\frac{56}{8}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B56%7D%7B8%7D)
----------------------(equation 3)
Now substituting the value of equation 3 in equation 2.
![L=3x+1](https://tex.z-dn.net/?f=L%3D3x%2B1)
![L=(3\times 7)+1](https://tex.z-dn.net/?f=L%3D%283%5Ctimes%207%29%2B1)
![L=21+1](https://tex.z-dn.net/?f=L%3D21%2B1)
![L=22](https://tex.z-dn.net/?f=L%3D22)
![L=22 inches](https://tex.z-dn.net/?f=L%3D22%20inches)
as,
-----------------------(from equation 1)
inches -------------------(equation 3)
Therefore, Length(L) = 22 inches and Width(W) = 7 inches.
Answer:
Step-by-step explanation:
x^2 = 64
√x² = √64
x = 8, -8
answer is B
Answer:
u need to put a picture so we know what your talking about
The answer COULD possibly be letter B