Answer:
The radius of the circle ,r= 1.43 m
The length of the side of square ,a= 2.77 m
Step-by-step explanation:
Given that
L= 20 m
Lets take radius of the circle =r m
The total parameter of the circle = 2π r
Area of circle ,A=π r²
The side of the square = a m
The total parameter of the square = 4 a
Area of square ,A'=a²
The total length ,L= 2π r+ 4 a
20 = 2π r+ 4 a
r=3.18 - 0.63 a
The total area = A+ A'
A" =π r² +a²
A"= 3.14(3.18 - 0.63 a)² + a²
For minimize the area
3.14 x 2(3.18 - 0.63 a) (-0.63) + 2 a = 0
3.14 x (3.18 - 0.63 a) (-0.63) + a = 0
-6.21 + 1.24 a + a=0
2.24 a = 6.21
a=2.77 m
r= 3.18 - 0.63 a
r= 3.18 - 0.63 x 2.77
r=1.43 m
Therefore the radius of the circle ,r= 1.43 m
The length of the side of square ,a= 2.77 m
Dilation
only option that changes the size
2 negatives make a positive.
1 negative and 1 positive make a negative.
12
32
35
Answer:
224 in^3
Step-by-step explanation:
The foruma appropriate to the calculation of the cone's volume is ...
V = (1/3)Bh
where B represents the area of the base and h represents the height.
For your numbers, this is ...
V = (1/3)·(48 in^2)(14 in) = (16 in^2)(14 in) = 224 in^3
Answer:
Answer: 3 1/2 and -10 1/2 are the two numbers.
Step-by-step explanation:
Let x and y be the two unknown numbers.
x+y=-7 [Given]
x-y=14 [Given]
x-y=14 [Given]
x=y+14 [Add y to both sides]
x+y=-7 [Given]
(y+14)+y=-7 [Subtitution]
2y+14=-7 [Combine like terms]
2y=-21 [Subtract 14 from both sides]
y=-21/2 [Divide both sides by 2]
y=-10 1/2 [Division]
x-y=14 [Given]
x=y+14 [Add y to both sides]
x=-10 1/2 + 14 [Substitution]
x= 3 1/2 [Addition]
Check:
x+y=-7 [Given]
3 1/2 + -10 1/2?=-7 [Substition]
-7=-7 [Addition]
QED
x-y=14 [Given]
3 1/2 - -10 1/2?=14 [Substitution]
3 1/2 + 10 1/2?=14 [Change the sign of the subtrahend and add]
14=14 [Addition]
QED
Answer: 3 1/2 and -10 1/2 are the two numbers.
