Answer:
1) 81.67 cm² (Option A)
2) 28.26 m² (Option B)
3) 153.86 mi.² (Option D)
4) 329.90 m² (Option A)
5) 63.585 ft.² (Option C)
Step-by-step explanation:
<u>GENERAL FORMULAES TO BE USED IN THIS QUESTION :-</u>
Diameter of a circle with radius 'r' = 2r
Area of a circle with radius 'r' = πr²
<u>SOLUTION :-</u>
1) Diameter of the dinner plate = 10.2 cm
Radius of the dinner plate = 10.2/2 = 5.1 cm
⇒ Area of the circle = π(5.1)² = 26.01π cm² ≈ 81.67 cm²
2) Length of his leash = 3m
⇒ Area the dog has to run around = π(3)² = 9π m² = 28.26 m²
3) Radius of the circular range of storm = 7 mi.
⇒ Area of the circular range of storm = π(7)² = 49π mi.² = 153.86 mi.²
4) Diameter of carousel = 20.5 m
Radius of carousel = 20.5/2 = 10.25 m
⇒ Area of the carousel = π(10.25)² = 105.0625π m² ≈ 329.90 m²
5) Radius of the range of sprinkler = 4.5 ft.
⇒ Area of the range of sprinkler = π(4.5)² = 20.25π ft.² = 63.585 ft.²
Step-by-step explanation:
Answer is;−
9
x
−
2
−
2
x
3
−
3
x
2
+
x
+
3
Simplify by adding terms.
Tap for more steps...
x
3
+
2
x
2
−
8
x
+
1
2L + 2(L-6) = 68
2L + 2L -12 = 68
4L = 80
L = 20
The length is 20 in. and the width is 14 in.
Answer:
3 bags
Step-by-step explanation:
if you divide 3000(50 x 60) by 1,220 then you get 2.459 so you need 3 bags
Answer:
6 = −4x + y
−5x − y = 21
Answer: (-3, -6)
2x + y = 20 6x – 5y = 12
Answer:
(7 , 6)
Step-by-step explanation:
Solve the system of equations by substitution.
6 = −4x + y --> y = 4x + 6
−5x − y = 21
Substitute y = 4x + 6 into −5x − y = 21
−5x − (4x + 6) = 21
-5x - 4x - 6 = 21
-9x = 27
x = - 3
y = 4(-3) + 6
y = -12 + 6
y = -6
(-3, -6)
Solve the system by the elimination method.
2x + y = 20
multiply the equation by (-3) ; 2x + y = 20 so
-6x - 3y = - 60
6x – 5y = 12
------------------add
-8y = - 48
y = 6
2x + y = 20
2x + 6 = 20
2x = 14
x = 7
(7 , 6)
