Answer:
The length of the diameter is 18 cm
Step-by-step explanation:
In this question, we are asked to calculate the diameter of a right cylinder, given that the radius and the height are equal and given the value of the surface area.
Mathematically, the surface area of a cylinder can be represented by the equation;
A = 2 π r( r + h)
since r = h, we can say h = r
Thus, the equation becomes;
A = 2 π r( r + r)
A = 2 π r(2r)
A = 4 π r^2
From the question, we can see that the value of A = 324 π
substituting this, we have;
324 π = 4 π r^2
4r^2 = 324
r^2 = 324/4
r^2 = 81
r = root of 81
r = 9 cm
The value of the diameter is two times the radius
Hence D = 2r = 2 * 9 = 18 cm
The answer is 79 and 80.
x - the number of the first locker
x + 1 - the number of the consecutive locker
Their sum is 159.
x + x + 1 = 159
2x + 1 = 159
2x = 159 - 1
2x = 158
x = 158 / 2
x = 79
x - the number of the first locker: x = 79
x + 1 - the number of the consecutive locker x + 1 = 79 + 1 = 80
Answer:
(3, 1 )
Step-by-step explanation:
Given the 2 equations
y = - x + 4 → (1)
y = x - 2 → (2)
Substitute y = x - 2 into (1)
x - 2 = - x + 4 ( add x to both sides )
2x - 2 = 4 ( add 2 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (2)
y = 3 - 2 = 1
solution is (3, 1 )
Answer:
T = 60 degrees
Step-by-step explanation:
The dotted line is the height so it is a right angle
We are able to use trig functions since this is a right triangle
cos T = adj side / hyp
cos T = a/b
cos T = 8 sqrt(2) / 16 sqrt(2)
cos T = 1/2
Taking the inverse of each side
cos^-1 ( cosT) = cos^-1 ( 1/2)
T = 60 degrees
9514 1404 393
Answer:
D) Rhombus
Step-by-step explanation:
The figure is a parallelogram with equal-length sides, so is a rhombus.
