Answer:
101.07ft^2
Step-by-step explanation:
Given data
radius= 5ft
h= 9ft
When the radius and height are both multiplied by 1/2
radius= 5/2ft = 2.5ft
height= 9/2 ft= 4.5ft
The expression for the surface area of the cone is
A=πr(r+√h^2+r^2)
Substiute
A= 3.142*2.5(2.5√4.5^2+2.5^2)
A= 7.855(2.5√20.25+6.25)
A= 7.855(2.5√26.5)
A= 7.855(2.5*5.147)
A=101.07 ft^2
Hence the surface area is 101.07ft^2
Answer:
Step-by-step explanation:
Let
L-----> the length of a rectangle
W---> the width of a rectangle
we know that
-----> equation A
-----> inequality B
The inequality B represent the equation that could be used to find the possible values of the width
The solution for the width of the rectangle is all real numbers greater than 20 units
A circles DIAMETER is twice as long as its radius
Hope this helps you :)
Answer:
(x - 5)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (5, - 3) and r = 4, so
(x - 5)² + (y - (- 3))² = 4², that is
(x - 5)² + (y + 3)² = 16
Hey there! :)
Answer:
Length = 24 meters.
Width = 8 meters.
Step-by-step explanation:
Recall that to find the area of a rectangle, the formula is as shown:
A = l × w
In this case, the length is 3 times the length of the width, or 3 : 1.
Let w = width, and
3w = length.
Find the value of w by plugging in these values into the equation:
192 = 3w · w
192 = 3w²
Divide both sides by 3:
64 = w²
Square root both sides:
w = 8 meters. This is the width.
The length is equivalent to 3w, so:
3(8) = 24 meters.
