Answer:
Option D. 8 units
Step-by-step explanation:
step 1
Find the area of rectangle
The area of rectangle is

step 2
Find the length side of the square with the same area of rectangle
The area of a square is

where
b is the length side of the square
we have

substitute

take the square root both sides

therefore
The length side of the square is 8 units
Answer:
279.62 feet
Step-by-step explanation:
We have a rectangle with 5ft x 305ft sides representing the area between your device and the base of the courthouse.
In addition to this we have an angle of 42 °
The height would come being the length of the opposite side of this triangle.
We know that:
tan (° A) = opposite / adjacent
Adjacent side is 305 ft and ° A is 42 °
Solved for opposite:
Opposite = adjacent * tan (° A)
Opposite = 305 * tan (42) = 274.62 feet
We must add 5 feet to this result and we are left with:
274.62 + 5 = 279.62
It means that the height is 279.62 feet
Answer:
x=4 y=10
Step-by-step explanation:
y=5x-10
y=3x-2
We'll use the 2nd equation as a basis :
y=3x-2
3x-2=5x-10
0=2x-8
8=2x
4=x
We then use y=3x-2 to find y:
y=3(4)-2
y=12-2
y=10
34 - 6 = 28
28 x 8 = 224
After making the 6 whole sheet of paper cards for her closest friends Aimi will have 28 pieces of paper left.
Since she wants to use 1/8 of a sheet per valentine (think of it as one piece of paper can make 8 valentines) you can do 28 pieces of paper multiplied by 8 which gives you 224 valentines.
The answer would be B-D-F