Answer:
The measure of angle A is 
Step-by-step explanation:
we know that
Applying the law of cosines
substitute the values and solve for cos(A)
![cos(A)=[22^{2}+18^{2}-31^{2}]/(2(22)(18))\\ \\cos(A)=-0.193182\\ \\A=arccos(-0.193182)=101\°](https://tex.z-dn.net/?f=cos%28A%29%3D%5B22%5E%7B2%7D%2B18%5E%7B2%7D-31%5E%7B2%7D%5D%2F%282%2822%29%2818%29%29%5C%5C%20%5C%5Ccos%28A%29%3D-0.193182%5C%5C%20%5C%5CA%3Darccos%28-0.193182%29%3D101%5C%C2%B0)
We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.
We know both data, then we perform the operation:
48 feet /6.14 inches = 7.81 feet / inches
.
Therefore the correct answer is option D. 1″ = 7.81′
For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.
Answer: Unit price = 0.2 per ounce
Step-by-step explanation:
What we were given;
Product price = $4
Quantity of product = 20 ounce
To get the unit price of the strawberry jam,
We simply devide the product price by the quantity of the product
Therefore;
Unit price = 4 / 20
Unit price = 0.2 per ounce
I believe it would be 72cm^2
Answer:
u = 12, v= 15
Step-by-step explanation:
Given the system of simultaneous equation:
1/6 u− 1/3 v=−3... (1)
0.2u+0.1v=3.9...(2)
Rewriting both equation as fraction
1/6 u− 1/3 v=−3
1/5 u + 1/10 v = 39/10
Multiplying equation (1) by 6 and (2) by 10 we have:
u - 2v = -18... (3)
2u + v = 39...(4)
Using elimination method, we will first multiply equation (3) by 2 and (2) by 1 to have:
2u-4v = -36 ...(5)
2u+v = 39...(6)
Subtracting (5) from (6);
-4v-v = -36-39
-5v = -75
v = -75/-5
v = 15
Substituting v = 15 into equation (3) to get u we have:
u - 2(15) = -18
u - 30 = -18
u = -18+30
u = 12
The solution to the system of simultaneous equation are u = 12 and v = 15
