Answer:
Length of rectangle = 36 yd and width of rectangle = 9 yd
Step-by-step explanation:
Let width of rectangle = w
Length of rectangle = 4w (four times the width)
Perimeter of rectangle = 90 yd
We need to find length and width of rectangle.
The formula used will be: ![Perimeter \ of \ rectangle=2(l+w)](https://tex.z-dn.net/?f=Perimeter%20%5C%20of%20%5C%20rectangle%3D2%28l%2Bw%29)
Where l is length and w is width
Putting values and finding length and width of rectangle
![Perimeter \ of \ rectangle=2(l+w)\\90=2(4w+w)\\90=2(5w)\\90=10w\\w=\frac{90}{10}\\w=9](https://tex.z-dn.net/?f=Perimeter%20%5C%20of%20%5C%20rectangle%3D2%28l%2Bw%29%5C%5C90%3D2%284w%2Bw%29%5C%5C90%3D2%285w%29%5C%5C90%3D10w%5C%5Cw%3D%5Cfrac%7B90%7D%7B10%7D%5C%5Cw%3D9)
So,width (w) of rectangle is w= 9 yd
Finding length of rectangle = 4w = 4*9 = 36 yd
So, length of rectangle = 36 yd and width of rectangle = 9 yd
Answer: (5,10)
Step-by-step explanation:
multiply first equation with 2 and add it to second to eliminate X
7x-5y=-15 //*2
14x-10y=-30
-14x+7y=0
----------------
-3y=-30
y=-30/-3
y=10
7x=50-15
7x=35
x=35/7
x=5
Answer: OPTION C.
Step-by-step explanation:
The area of a triangle can be calculated with the following formula:
![A=\frac{bh}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bbh%7D%7B2%7D)
Where "b" is the base of the triangle and "h" is the height of the triangle.
You know that all the triangles that compose the large triangle are equal.
According to the information given in the exercise, the base and the height of any small triangle are:
![b=6\ in\\h=7\ in](https://tex.z-dn.net/?f=b%3D6%5C%20in%5C%5Ch%3D7%5C%20in)
Therefore, the area of any of them is:
![A=\frac{(6\ in)(7\ in)}{2}\\\\A=21\ in^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%286%5C%20in%29%287%5C%20in%29%7D%7B2%7D%5C%5C%5C%5CA%3D21%5C%20in%5E2)
Since there are 4 equal triangles, you need to multiply the area obtained by 4 in order to find the area of the large triangle. This is:
![A_{large}=4(21\ in^2)\\\\A_{large}=84\ in^2](https://tex.z-dn.net/?f=A_%7Blarge%7D%3D4%2821%5C%20in%5E2%29%5C%5C%5C%5CA_%7Blarge%7D%3D84%5C%20in%5E2)
Answer:
35 miles
Step-by-step explanation:
Total Miles driven at full tank = 230 miles
Miles drive at full tank from Austin to Dallas = 195 miles
How many miles will be left once he arrives in Dallas?
Number of miles remaining at full tank = Total Miles driven at full tank - Miles drive at full tank from Austin to Dallas
= 230 miles - 195 miles
= 35 miles