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Answer:
54.8 = total area+
Step-by-step explanation:
Start with the widest part near the middle. Three inches is taken away from 7 inches to give 4 inches.
4 inches must be divided by 2 since the triangles so formed are congruent and there are 4 of them.
Use the Pythagorean theorem to get the height of the triangles. Solve the height for just one of them.
height = ??
Base = 2
hypotenuse = 5
height^2 + 2^2 = 5^2
height^2 + 4 = 25
height^2 + 4 - 4 = 25 - 4
height^2 = 21
height = sqrt(21)
height = 4.58
<em>Area of 4 Trangles</em>
Area of the triangles = 4 * (1/2 * 2 * 4.58)
Area of the triangles = 18.32
<em>Area of the Middle Rectangle</em>
Area = l * w
length = 4.58 * 2 where did that 2 come from?
width = 3
Area = 3 * 2 * 4.58
Area = 27.48
<em>Area of the two End Squares</em>
The end squares measure 3 by 3
Area square = s*s
The area = 3*3 = 9
<em>Total Area</em>
Area = 9 + 27.48 + 18.32
Area = 54.8 units.
Answer:
x= -1
y = 9
Step-by-step explanation:
to solve this system of equation
let
x - 2y = -19.....................................equation 1
-3x + 5y = 48 .................................. equation2
from equation 1
x - 2y = -19.....................................equation 1
x = -19 + 2y................................... equation 3
substitute the value of x into equation 2
-3x + 5y = 48 .................................. equation2
-3(-19 + 2y) + 5y = 48
57 - 6y + 5y = 48
combine the like terms
-6y + 5y = 48 -57
-y = - 9
divide both side by -
y = 9
put y= 9 into equation 3
x = -19 + 2y................................... equation 3
x = -19 + 2(9)
x = -19 + 18
x = -1
therefore the value of x and y is -1 and 9 respectively
Answer: 8 pounds 10 ounces
Step-by-step explanation:
7 ± 1 ⇒ 8
2 ± 8 ⇒ 10
⇒ 8 pounds 10 ounces
THE answer is 3.173≅3.2(nearest tenth)
