Here, we can split this parallelogram into two triangles and one rectangle. The triangles are equal to each other so we can just find the area of the rectangle and the are of <span>one triangle.
</span>Triangle area formula:
, where a = area, b=base, and h=height.
Plug in 5 for b and 11 for h:
<span>Multiply by 2!
</span>
Rectangle area formula: a=bh, where a = area, b = base, and h = height.
Plug in 4 for b and 11 for h.
a = 4 x 11
a = 44
44+55 = 99
Area is 99 cm<span>².</span>
Answer:
1). x = 14
2). y = 2.4 cm
Step-by-step explanation:
In the diagram ΔNPQ ~ ΔNLM and NL = 3,
1). ∠P ≅ ∠L [All angles of similar triangle are equal in measure]
(3x + 18)° = 60°
3x = 60 - 18
x = 14
2). Since, both the triangles are similar, corresponding sides will be proportional.
y
y = 2.4 cm
Answer:
1,3,4
Step-by-step explanation:
all the others were wrong
Answer:
(-1, -1)
Step-by-step explanation:
One way to write the relationship between the x and y coordinates and θ is ...
tan(θ) = y/x
Then ...
y = x·tan(θ) = -1·tan(-3π/4) = -1·1
y = -1
The coordinates of the point on the terminal side are (x, y) = (-1, -1).
The period is the distance between one peak and the next peak ( the two highest points)
One peak is at x= 0, the next peak is at x = 5 then the third peak is at x = 10.
Subtract to find the distance: 10-5 = 5 and 5-0 = 5 so the period is 5.
The amplitude is the distance from the centerline to the peak. First find the highest and lowest points to finch the center:
Highest = 3 lowest = -2. The distance between the highest and lowest is 5 so the centerline would be 5/2 = 2.5
The amplitude would be the distance from center to peak which would be 2.5
The answer is:
Period = 5, amplitude = 2.5