Answer:
a. 43.96 feet
b.153.86 square feet
Step-by-step explanation:
Hi, the path through the middle of the circular garden is the diameter.
Since the diameter is equal to:
Diameter = 2 radius (r)
Solving for r
14 =2r
14/2 = r
r = 7 feet
The distance around the outside of this garden is the perimeter.
Perimeter of a circle (P) = 2 π r
Replacing with the values given:
P = 2 (3.14) 7 = 43.96 feet
b. area of the circle-
Area of a circle (A)= π r²
Replacing with the values given:
A = 3.14 (7²) =153.86 square feet
Answer:
x = 
Step-by-step explanation:
5(x-2)^2= 15 ←add 29 on both sides
(x-2)^2= 3 ← divide by 5 on both sides
x-2=
← find the sq root of both sides
x=
← add 2 on both sides
Answer:
Yes you are correct
Step-by-step explanation:
By doing that, you will get 8 which is the correct answer
Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand
15 = x + 1.5 + 2x
15 = 3x + 1.5
15 - 1.5 = 3x
13.5 = 3x
13.5/3= 3x/3
4.5 = x
x = 4.5
This is the length above the left hand.
2x must be then 4.5*2 = 9 foot
This is the length below the left hand.
Checking
4.5 + 9 + 1.5 = 15 foot
Adding length below left hand & length of left hand to right hand:
9 + 1.5 = 10.5
The right hand is hence 10.5 foot far up the pole.
Answer:
FG = 47
Step-by-step explanation:
The opposite sides of a parallelogram are parallel and congruent, thus
EH = FG, that is
5z - 18 = 3z + 8 ( subtract 3z from both sides )
2z - 18 = 8 ( add 18 to both sides )
2z = 26 ( divide both sides by 2 )
z = 13
Hence
FG = 3z + 8 = (3 × 13) + 8 = 39 + 8 = 47