Answer:
ans: centre of circle is ( -4 , 6 )
and radius is 3 unit
Answer:
The value of the variable=13 meters
Step-by-step explanation:
Step 1
Express the dimensions of the pool
Length=7+x
width=6
Step 2
Express the area of a rectangle as shown;
A=L×W
where;
A=area of a rectangle
L=length of the rectangle
W=width of the rectangle
In our case;
A=120 m²
L=x+7
W=6
replacing in the equation;
120 m²=(x+7)×6
120=6 x+42
6 x+42=120
6 x=120-42
6 x=78
x=78/6
x=13
The value of the variable=x=13 meters
Answer:
The value of x could be anything, so I don't know what you mean until you have some sort of equation or graph - or anything at that.
Step-by-step explanation:
Answer:
XZ ≈ 14.4 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = 
= 
= 
Multiply both sides by XZ
XZ × cos29° = 12.6 ( divide both sides by cos29° )
XZ = 
≈ 14. 4 ( to 3 sig. figs )
1. You have that:
- The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span>
- He wants to surround it with a concrete walkway 3 feet wide.
- He can only afford 300 square feet of concrete for the walkway.
2. Therefore, the tota area is:
At=L2xW2
L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
W2 is the width of the walkway (W1+3+3⇒W2=W1+6)
3. The area of the walkway is:
A2=At-A1
A2=300 ft²
4. Therefore, you have that the width of the swimming pool is:
A2=(W1+10)(W1+6)-(W1+4)(W1)
300=(W1²+6W1+10W1+60)-(W1²+4W1)
W1²+16W1+60-W1²-4W1-300=0
12W1-240=0
W1=240/12
W1=20 ft
5. And the length is:
L1=W1+4
L1=20+4
L1=24 ft
