Answer:
Part A)
Part B) Length: 17.5 feet and Width: 14 feet
Step-by-step explanation:
Part A) Create an equation to represent the area of the basketball section A, in terms of the width W.
Let
L ----> the length of the rectangular basketball section
W ---> the width of the rectangular basketball section
we know that
The area of the rectangular basketball section is equal to
----> equation A
The length of the section will be 1.25 times the width of the section
so
----> equation B
substitute equation B in equation A
Part B) Jackson decides to make the area of the basketball section 245 square feet. What are the dimensions, in feet, of the basketball section?
we have
so
solve for W
Find the value of L
substitute the value of W in the equation B
therefore
The dimensions are :
Length: 17.5 feet
Width: 14 feet
Answer and Step-by-step explanation:
2.
The value of x is equal to 148. This is because of the vertical angles theorem.
The vertical angles theorem states that when two angles are vertical to each other (such as the example in this problem), then they are equal to each other.
5.
We know that a line has a angle of 180 degrees. So, to find x, we subtract everything from 180.
180 - 125 - 30 = x
25 = x
8.
We know that given angle in total is equal to 89 degrees. So, to find x, we subtract everything from 89.
89 - 12 - 29 = x
48 = x
#teamtrees #WAP (Water And Plant)
Remove parentheses
3m - 7m+12 = 2 m-3
collect like terms
3m-7m-12 = 2m-6
move terms
-4m - 12 = 2m-6
collect the like terms and calculate
-4m-2m = -6+12
divide both sides by -6
-6m=6
m= -1
Answer:
x = 7 times the square root of 3
y = 14
Step-by-step explanation:
<span>To do these you will be adding or subtracting 2pi (or integer multiples of .
Since the given angles are in fraction form, it will help to have 2pi in fraction form, 2pi=10/5=6pi/3=4pi/2=18pi/9 NOTE: this>(/) stands for over like 1 over 2 EX. 1/2
too, so the addition/subtraction is easier.
Hint: When deciding if you have a number between 0 and 2pi, compare it to the fraction version of 2pi that you've been adding/subtracting.
For 17pi/5...
First we can see that 17pi/5 is more than 10pi/5 (aka 2pi). So we need to start subtracting: 17pi/5 - 10pi/5 = 7pi/5
Now we have a number between 0 and 10pi/5. So 7pi/5 is the co-terminal angle between 0 and 2pi.
I'll leave the others for you to do. Just remember that you might have to add or subtract multiple times before you get a number between 0 and 2pi.
P.S don't add or subtract at all if the number starts out between 0 and 2pi.</span>