If
is the variable of the horizontal axis, then you can solve for
to get the equation of the line in slope-intercept form in the
plane:
i.e. a line with slope
through the origin, which means it is contained in the first and third quadrants. Since the terminal side of
has a negative sine, the angle must lie in the third quadrant.
Because the slope of the line is
, you can choose any length along the line to make up the hypotenuse of a right triangle with reference angle
. Any such right triangle will have
, regardless of whether the angle is the first or third quadrant. But since
is known to lie in the third quadrant, and so
and
are both negative, you have
<span><span>Use the Law of Sines to find side b.</span><span>
b / sin(B) = a / sin(A)</span><span>
b / sin(32°) = 11 / sin(47°)</span><span>
b = (sin(32°) x 11) / sin(47°)</span><span> <---- You would use this, so rewritten
11(sin(32))/sin(47) would be the expression, or answer B.)
BTW b = <span>7.970
Hope this helps!
</span></span></span>
Problem 5
d = 29 = diameter
r = d/2 = 29/2 = 14.5 = radius
SA = surface area of sphere
SA = 4*pi*r^2
SA = 4*pi*(14.5)^2
SA = 841pi
SA = 841*3.14
SA = 2,640.74 square inches
To convert from square inches to square feet, we divide by 144. This is because 12^2 = 144.
2,640.74 square inches = (2,640.74)/144 = 18.3 sq ft
<h3>Answer:
18.3 square feet (approximate)</h3>
=====================================
Problem 6
d = 10.7 = diameter
r = d/2 = 10.7/2 = 5.35 = radius
L = 22.3 = slant height
SA = surface area of the cone
SA = pi*r^2 + pi*r*L
SA = pi*(5.35)^2 + pi*5.35*22.3
SA = 147.9275pi
SA = 147.9275*3.14
SA = 464.49235
<h3>Answer:
464.49235 square cm (approximate)</h3>
Answer:
x = 41 ft
Step-by-step explanation:
35(35+23) = 29(29+x)
2030 = 29(29+x)
70 = 29 + x
x = 41 ft
All it did was shrink in size and move to the square diagonal from it
