For this problem, we are going to use the <em>law of sines</em>, which states:
In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, 
. Then, we can find the third side. Using the law of sines, we can find:
We can use this to solve for :
Now, we can find 
:
Using this, we can find 
:
c is approximately 17.5.
Percent change is 100%
Step-by-step explanation:
- Step 1: Find the perimeter of the first garden when length = 6 ft and width = 4 ft
Perimeter = 2 (length + width)
= 2 (6 + 4) = 2 × 10 = 20 ft
- Step 2: Find the perimeter of the second garden when length = 12 ft and width = 8 ft (∵ dimensions are doubled)
Perimeter = 2 (12 + 8) = 2 × 20 = 40 ft
- Step 3: Find the percent change in perimeter
Percent Change = Final value - initial value/Initial Value × 100
= (40 - 20/20) × 100
= 1 × 100 = 100%
Answer:
D
Step-by-step explanation:
Lets go case by case.
Given the roots, a factor will be part of the equation if for some of the roots the factor becomes null, i.e., equal to 0.
Is there any root that makes (x+3)=0? No, as it only becomes 0 for x = - 3 and -3 is not a root. So A NO!
Is there a root that makes (x-1)=0? No, as it only becomes 0 for x=1 and 1 is not a root. So B NO!
(x-4)=0 only for x=4, and as 4 is not a root, C NO!
The last, (x-3)=0 if x=3. As 3 is one of the roots, (x-3) is a factor of our equation!
D is the only correct option!
I have only begun my Freshman Year of High School, and therefore I can only answer #2. Assuming they arrived at camp somewhere in the afternoon on the 188th day, take the amount of coffee and create a proportion for ounces of coffee/pound of coffee. Do this for all 27 pounds of coffee, because there are only three pounds left, and divide it by the amount of days the travel took. This method of solving will give you the answer.
