The distance between the cities is 280 miles. The rule is y = 40x, where x is the distance in inches on the map and y is the distance in miles.
Step-by-step explanation:
Step 1:
The map's key shows that 5 inches on the map equal 200 miles of actual distance.
5 inches on the map = 200 miles of actual distance,
if we divide both sides by 5, we get;
1 inch on the map = 40 miles of actual distance.
Step 2:
If x is the distance on the map in inches and y is the actual distance in miles,
y = 40x.
If the map distance 7 inches, x = 7.
Substituting, x =7 in the equation, .
So the actual distance between the cities is 280 miles.
is in quadrant I, so
.
is in quadrant II, so
.
Recall that for any angle ,
Then with the conditions determined above, we get
and
Now recall the compound angle formulas:
as well as the definition of tangent:
Then
1.
2.
3.
4.
5.
6.
7. A bit more work required here. Recall the half-angle identities:
Because is in quadrant II, we know that
is in quadrant I. Specifically, we know
, so
. In this quadrant, we have
, so
8.
Answer:
942
Step-by-step explanation :
so your d is 300 so your r = 300/2= 150
a=3.14*r*r= 3.14*150*150= 70650
c= 3.14*d= 3.14*300= 942
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OR
The curved surface area of solid cylinder is
As we are given that:
Diameter of solid cylinder = 8 cm
Length or Height o solid cylinder = 140 cm
Formula used to calculate the curved surface area of cylinder is:2n x h
Curved surface area of cylinder =2r x h
where,
r = radius of cylinder
h = height or length of cylinder
Radius of cylinder = daimeter
Now putting all the given values in above formula, we get:
Curved surface area of cylinder = 2x 22/7 x 140cm
Curved surface area of cylinder =
Therefore, the curved surface area of solid cylinder is3520cm^{2}