Answer:
The answer is 108 cm²
Step-by-step explanation:
First, you have to find the height of the parallrelogram using trogonometric formula, sinθ = oppo./hypo. :
oppo. = height
hypo. = 9 cm
θ = 59°
sin 59° = height/9
height = 9 sin 59°
= 7.715 cm (4s.f)
Given that the formula of area of parallelogram is, A = base×height. Then, you can substitute the value into the formula :
base = 14 cm
height = 7.715 cm
A = 14 × 7.715
= 108 cm² (3s.f)
Answer:
(-5,-13)
Step-by-step explanation:
Find the vertex of the parabola y=1/5x^2+2x−8.
In this equation a=15 and b = 2.
x= -2/2(1/5) = -2/2/5 = -2/1 * 5/2 = -5
Substitute −5 into the equation y=1/5x^2+2x−8
y=1/5(−5)^2+2(−5)−8
y=5−10−8
y=−13
The vertex is (−5 , −13)
Perimeter = w + w + l + l
180= w+w+w+12+w+12
The dimensions for width are just w and for length it's w+12
Answer:
-n
Step-by-step explanation:
Add -4n and 3n.
X= 12.5, this is because you need to add 25 to the other side of the equation to make 2x = 25 and then divide both sides by 2 to get x=12.5