I don't know the area of a parallelogram off the top of my head but you can use the area of the rectangle and the area of the triangle and add those. The area of the triangle is 1/2*base*height and use the pythagorean theorem to find the base. 3² + b² = 5²; 9 + b² = 25; b² = 16; b = 4. The area of the triangle is 1/2*4*3 or 6 in. Since there are two of them, the total area of the triangles are 12 in. The area of the rectangle is length*width or (12 - 4) * 3 which is 8 * 3 or 24in. Add these areas together to get 36in total
Answer:
the length and width . Round to the nearest tenth are 8.8 inches and 3.8 inches respectively.
Step-by-step explanation:
The area A of a rectangle is the product of the length L and width W. This may be expressed mathematically as
A = L * W
As such, given that the length is 5 inches more than the width,
L = W + 5
33 = W(W + 5)
W² + 5W - 33 = 0
Using the formula method which states that
s = -b±√(b²-4ac)/2a
W = -5 ± √5² - 4(1)(-33)/2
= -5 ± 12.53/2
= 7.53/2 (since length cannot be negative)
= 3.755 inches
L = 3.755 + 5
= 8.755 inches
Answer:
4 1/2 cup servings
Step-by-step explanation:
Answer:
x = 35
y = 100
Step-by-step explanation:
∠AEB and ∠DEC are vertical angles because they are opposite each other; they are also equal because of this. We can write an equation to model the situation:
∠AEB = ∠DEC
50° = x° + 15°
x = 35
∠AEB and ∠AED are supplementary because the form a line; this means they add up to 180°
∠AEB + ∠AED = 180°
50° + y + 30° = 180°
y + 80° = 180°
y = 100
Answer:
35
Step-by-step explanation:
because when you add or do everything you get it
