<h2>
Answer:</h2>
28.7cm²
<h2>
Step-by-step explanation:</h2>
The sketch of the parallelogram is attached to this response.
As shown in the sketch,
h is the height of the parallelogram
ADC is 125°
AD = 5cm
CD = 7cm
<em>Also</em>
Since the adjacent angles of a parallelogram are supplementary (add up to 180°), it means that;
=> ADC + BCD = 180°
=> 125° + BCD = 180°
=> BCD = 180° - 125°
=> BCD = 55°
The area (A) of a parallelogram is given by;
A = b x h ----------(i)
Where
b = base of the parallelogram
h = height of the parallelogram
From the sketch,
b = CD = 7cm
h can be found by using the sine trigonometric function as follows
sin BCD =
=> sin 55° =
=> h = 5 sin 55°
=> h = 5 x 0.8192
=> h = 4.096cm
Now, substitute the values of h and b into equation (i) as follows;
A = 7 x 4.096
A = 28.672
A ≅ 28.7 (to one decimal place)
Therefore, the area of the parallelogram is 28.7cm²
Answer:
176 ounces (C)
Step-by-step explanation:
if you divide 48 by 3 it will give you 16 and there are 11 pints so u wanna multiply 16 and 11 to 176 ounces..
also i got it right on edge :P
The circumference of a circle can be the equation C = πd or C = 2πr.
Answer:
x=-6, y=3
Step-by-step explanation:
I will use elimination to eliminate the x variable.
Add the two equations.
-3x-3y=9
3x+8y=6
-------------------
5y = 15
Divide each side by 5
5y/5 = 15/5
y=3
Now we need to find x
3x+8y=6
Substitute y=3
3x+8*3 =6
3x+24=6
Subtract 24 from each side
3x+24-24 = 6-24
3x = -18
Divide each side by 3
3x/3 = -18/3
x=-6