Answer:
8 inches
Step-by-step explanation:
The surface area of a cone (without the base) is given by:
Surface area = pi*r*s
Where r is the base radius and s is the slant height.
The smaller cone has a surface area of 41.6pi in2 and a radius of 6.4 inches, so the slant height is:
41.6pi = pi*r*s
41.6 = 6.4s
s = 6.5 in
If the cones are similar, the radius and the slant height increase in the same proportion, so we have that:
r'/s' = r/s = 6.4/6.5
s' = r'*6.5/6.4
So for the larger cone, we have:
65pi = pi*r'*s'
65 = r'*r'*6.5/6.4
r'^2 = 64
r' = 8 inches
Answer:
0.7
Step-by-step explanation:
70 shaded squares out of 100
= 70/100
=0.7
Answer:
$84
Step-by-step explanation:
12:1 means for every dollar you bet you will win 12
so 7 x 12 = 84
you would win $84, you bet 7 so net profit would be 84-7 = $77
Net profit is $77
Answer:
Step-by-step explanation:
Distance upstream = (34-c)(39/60) miles
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Distance downstream = (34+c)(29/60) miles
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Equation:
distance = rate*time
distance up = distance down
(34-c)(39/60) = (34+c)(29/60)
Multiply both sides by 60 to get:
39(34-c) = 29(34+c)
39*34 - 39c = 29*34 + 29c
68c = 340
c = 5 mph speed of the current
The coordinates consist of x coordinate and y coordinate
(x₁,y₁) = (-1,7)
(x₂,y₂) = (3,-3)
To find the midpoint of x coordinate, use this following formula
x midpoint = (x₁ + x₂)/2
x midpoint = (-1 + 3) / 2
x midpoint = 2/2
x midpoint = 1
To find the midpoint of y coordinate, use this following formula
y midpoint = (y₁ + y₂)/2
y midpoint = (7 + (-3))/2
y midpoint = (7 - 3)/2
y midpoint = 4/2
y midpoint = 2
ANSWER
The midpoint is (1,2)
