Answer:
<h2>195 plants (verified) ✅</h2>
Step-by-step explanation:
We will use a proportion to solve this.
x/y = x/y
let x = the number of families in each case
let y = the number of plants in each case
Since we don't know the second y, we will leave that as y and solve for it.
50/150 = 65/y
Cross-multiply
50y = 9750
Divide
195 = y
Now, we can check this by substituting the value of y back into the equation and seeing if both sides equal.
50 (195) = 9750
9750 = 9750 ✅
9514 1404 393
Answer:
9 square units
Step-by-step explanation:
Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...
A = i + b/2 - 1
where i is the number of interior points (8), and b is the number of points on the border (4).
The area of this figure is ...
A = 8 + 4/2 -1 = 9
The area of the polygon is 9 square units.
_____
You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.
Answer:
x = 45°
Step-by-step explanation:
80° + 55° + x = 180°
135° + x = 180°
x = 45°
Answer:
The simplified expression for the area of the stated square is A (x) = (2x² - 4)²
Step-by-step explanation:
To solve this problem first you need to think about the realationtship beetwen Area and side of a square. Then Area = (side)².
Here we have that side is equal to 2x² - 4. Then A(x) = (2x² - 4)² which is the expression of a square of a binomial. Then A(x) = 4x^4 - 16x² + 16. If you look at this two expressions, the first one is the simplified one. So,
A(x) = (2x² - 4)²
