Answer:
The area of parallelogram ABCD is
Explanation:
Given:
AD = 12 in


To Find:
The area of parallelogram ABCD=?
Solution:
When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.
The area of the parallelogram can be calculated by 
Substituting the value of a=12 we have

<u>To find the value of b,
</u>
We know that area of a triangle can be expressed as,

So,

Cancelling BD and 2 on both sides we get,


Therefore,

Substituting the value of b,

=78.42
So the area of the parallelogram is
Answer:
the first graph is 3:2
the second is 3:1 or 2:1 i'm not 100% sure on that one
the third is 1:1
Step-by-step explanation: I took the test and got it right
I hope this helps:)
Answer: 22.5 . The weight of the elephant is "22.5 times greater" than the weight of the lion.
_________________________________________________________
Explanation:
_________________________________________________________
(weight of lion) * (x) = (eight of the elephant) ; Solve for "x" .
_____________________________________________________
→ Divide each side of the equation by "(weight of lion)" ;
to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________
→ (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
(weight of lion) ;
________________________________________________________
→ x = (weight of the elephant) / (weight of lion) ;
__________________________________________________________
→ Plug in our "given values" ; and solve for "x" ;
__________________________________________________________
→ x = (<span>9*10</span>³) / (4*10²) = (9*10⁽³⁻²⁾) / 4 = (9*10¹) / 4 ;
__________________________________________________________
→ x = 90 /4 = 25/2 = 22.5 ; which is our answer.
__________________________________________________________
To find percent error you use the following formula:

% error = (1.6 - 1.9)/1.9 * 100% = 15.79%
let the length of each shorter side be x
length of longer side= x+14
2(x+14) + 2x = 48
2x + 28 + 2x = 48
4x + 28 = 48
4x = 48-28
4x = 20
x = 5
shorter side = 5cm