Step-by-step explanation:
let x be the another angle
so
x+40=90
x=90-40
x=50
The measure of missing angle is 50
hope it helps
Answer: the cost of a milkshake is $2.59
Step-by-step explanation:
Let x represent the cost of a banana split.
Let y represent the cost of a milkshake.
At the ice cream shop, one banana split and five milkshakes cost $16.24. This is expressed as
x + 5y = 16.24- - - - - - - - - - - - -1
If three banana splits and two milkshakes cost $15.05. This is expressed as
3x + 2y = 15.05- - - - - - - - - - - - -2
Multiplying equation 1 by 3 and equation 2 by 1, it becomes
3x + 15y = 48.72
3x + 2y = 15.05
Subtracting, it becomes
13y = 33.67
y = 33.67/13
y = 2.59
Substituting y = 2.59 into equation 1, it becomes
x + 5 × 2.59 = 16.24
x + 12.95 = 16.24
x = 16.24 - 12.95
x = 3.29
Answer:
(x + 1)^2 + (y - 2)^2 = 3^2 = 9
Step-by-step explanation:
The standard equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2.
Here, h = -1, k = 2 and r = 3, so the equation of this particular circle is
(x + 1)^2 + (y - 2)^2 = 3^2 = 9.
We are given
area of sphere is 200.96cm^2
it means that we are given surface area
so, we can use surface area formula

where S is surface area
r is radius
so, firstly we need to find radius or r

we can solve for r

now, we can find volume

we can plug r

now, we can find volume
.............Answer