Three lines of crops in a garden forms a triangular shape. Strawberries are planted in a 10 ft line and green beans are planted in an 18 ft line. If the third side, a line of pumpkins, makes a 68 degree angle with the strawberries, determine the length of the line of pumpkins

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

Let the strawberry side be s, the Green beans be b and the pumpkins be p.

The cosine formula in this case is:

Where

The equation becomes

Collect Like Terms

Using quadratic formula:

Where

or

or

or

But length can not be negative.

So:

The answer is in the image 

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

The solution is in the following image

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg