Ok so you spent 19 dollars the difference between prices is 5 dollars and your answer would be 12 and 7. If you need any help let me know.
Answer:
The area of parallelogram ABCD is![78.42 \mathrm{in}^{2}](https://tex.z-dn.net/?f=78.42%20%5Cmathrm%7Bin%7D%5E%7B2%7D)
Explanation:
Given:
AD = 12 in
![m \angle C=46^{\circ}](https://tex.z-dn.net/?f=m%20%5Cangle%20C%3D46%5E%7B%5Ccirc%7D)
![m \angle D B A=72^{\circ}](https://tex.z-dn.net/?f=m%20%5Cangle%20D%20B%20A%3D72%5E%7B%5Ccirc%7D)
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 ![a b * \sin (a n g l e)](https://tex.z-dn.net/?f=a%20b%20%2A%20%5Csin%20%28a%20n%20g%20l%20e%29)
Substituting the value of a=12 we have
![\text { Area of parallelogram }=12 * \text { bsin } 46](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Area%20of%20parallelogram%20%7D%3D12%20%2A%20%5Ctext%20%7B%20bsin%20%7D%2046)
<u>To find the value of b,
</u>
We know that area of a triangle can be expressed as,
![\text { Area of triangle }=(A b / 2) \sin (\text {angle})](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Area%20of%20triangle%20%7D%3D%28A%20b%20%2F%202%29%20%5Csin%20%28%5Ctext%20%7Bangle%7D%29)
So,
![(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72](https://tex.z-dn.net/?f=%2812%20%2A%20B%20D%20%2F%202%29%20%2A%20%5Csin%2046%3D%28A%20B%20%2A%20B%20D%20%2F%202%29%20%2A%20%5Csin%2072)
Cancelling BD and 2 on both sides we get,
![12 * \sin 46=A B * \sin 72](https://tex.z-dn.net/?f=12%20%2A%20%5Csin%2046%3DA%20B%20%2A%20%5Csin%2072)
![A B=12 * \frac{\sin 46}{\sin 72}](https://tex.z-dn.net/?f=A%20B%3D12%20%2A%20%5Cfrac%7B%5Csin%2046%7D%7B%5Csin%2072%7D)
Therefore,
![b=\frac{12 \sin 46}{\sin 72}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B12%20%5Csin%2046%7D%7B%5Csin%2072%7D)
Substituting the value of b,
![=12 *\left(\frac{12 \sin 46}{\sin 72}\right) * \sin 46](https://tex.z-dn.net/?f=%3D12%20%2A%5Cleft%28%5Cfrac%7B12%20%5Csin%2046%7D%7B%5Csin%2072%7D%5Cright%29%20%2A%20%5Csin%2046)
=78.42
So the area of the parallelogram is![78.42 \mathrm{in}^{2}](https://tex.z-dn.net/?f=78.42%20%5Cmathrm%7Bin%7D%5E%7B2%7D)
Answer:
16.75 square cm
Step-by-step explanation:
![Area \: of \: sector = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{30 \degree}{360 \degree} \times 3.14 \times {8}^{2} \\ \\ = \frac{1}{12} \times 3.14 \times 64 \\ \\ = \frac{1}{3} \times 3.14 \times 16 \\ \\ = \frac{1}{3} \times 50.24 \\ \\ = 16.7466667 \\ \\Area \: of \: sector = 16.75 \: {cm}^{2}](https://tex.z-dn.net/?f=Area%20%20%5C%3A%20of%20%20%5C%3A%20sector%20%20%3D%20%20%5Cfrac%7B%20%5Ctheta%7D%7B360%20%5Cdegree%7D%20%20%5Ctimes%20%5Cpi%20%7Br%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B30%20%5Cdegree%7D%7B360%20%5Cdegree%7D%20%20%5Ctimes%203.14%20%5Ctimes%20%20%7B8%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B12%7D%20%20%5Ctimes%203.14%20%5Ctimes%2064%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%203.14%20%5Ctimes%2016%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%2050.24%20%5C%5C%20%20%5C%5C%20%20%3D%2016.7466667%20%5C%5C%20%20%5C%5CArea%20%20%5C%3A%20of%20%20%5C%3A%20sector%20%20%3D%2016.75%20%5C%3A%20%20%7Bcm%7D%5E%7B2%7D%20)
Figure A, the rectangle in the top left corner is the correct answer.
Answer:
2 400 000
Step-by-step explanation:
divide the numbers into 3