Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentiation:
A = x^2 + 9x - 36. This factors into A = (x + 12)(x - 3). We can assume that the length of the parallelogram is x + 12 and that the width is x - 3.
Note that if x = 3 the area becomes zero. So: x must be greater than 3, so that the (x - 3) factor is positive.
Example: If x = 4, then the dimensions of the parallelogram are 4 + 12, or 16, and 4 - 3, or 1.
Answer:
y
=
3
4
x
−
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
4 g.
c=42
a=b=d
a+b+42=180
a+a=180-42
2a=138
a=138/2=69
a=69
b=69
c=42
d=69
5a.
a=30
angle O=180-(a+30)=180-(30+30)=180-60=120°
d=80
angle O=180-(d+80))=180-(80+80)=180-160=20°
central angle O of middle triangle=180-(120+20)=180-140=40°
b=c
b+c+40=180
b+b=180-40
2b=140
b=140/2=70
b=70°
c=70°
One bottle has a height of 12 centimeters or 12 cm. Let
us call this h1, so h1 = 12 cm
While the other bottle has a height of 15 centimeters or
15 cm. Let us call this h2, so h2 = 15 cm
The difference in height can be calculated by subtracting
the smaller number from the bigger number, therefore:
difference in height = h2 – h1
difference in height = 15 cm – 12 cm
difference in height = 3 cm
We know that in 1 meter there is:
1 meter = 100 centimeters = 1000 millimeters
Therefore,
difference in height = 3 cm (1000 millimeters / 100
centimeters)
difference in height = 30 mm
