Answer:
A is correct
Step-by-step explanation:
We have 2 squares with side length of 2 units. In each square is a circle that is cut into 4 pieces and moved to make the design shown. We know the circle would take up the whole square because the edges of all the pieces touch each other. So we know the circles diameter is 2 units. We need to find the area of the square and then subtract the area of the circle to find the yellow area. Then we multiply it by 2 because there are 2 of them.
Area of square = 2×2=4 units squared.
Area of circle = 3.14(1)^2 = 3.14 units squared.
4 - 3.14 = .86 × 2 = 1.72
The area of the yellow is 1.72 units squared.
Answer: -70
Step-by-step explanation:
1. You subtract 5-7 because of PEMDAS and you get -2
2. multiply 5x7=35
3. Multiply 35x-2=-70
Parentheses/brackets
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
Step-by-step explanation:
Since it is an equilaterla triangle, we can see the side opposite to that of side length 4 is 60 degrees. Since the other angle is a right angle (90 degrees), we can find that the other side is 30 degrees (the degrees add up to 180). We can also see that this is a 30-60-90. We can see that the side x, through the identity (you can find 30-60-90 identity online), we see that the side x is . However, it is also asking us to simplify this, so we multiply the top and bottom by and get
Answer:
x + y = 180
and,
x = 3y
Step-by-step explanation:
Data provided in the question:
Total area of the farm = 180 acre
x represents the acre in which corn is planted
y represents the acre in which wheat is planted
Thus,
Area of corn + Area of wheat = Total area of farm
x + y = 180 ................. (1)
also,
From the statement, farmer wants to plant three times as many acres of corn as wheat
we can conclude
Area of corn = 3 times the area of wheat
or
x = 3y ................(2)
So, we have system of linear equations that represent the situation as
x + y = 180
and,
x = 3y