This problem involves finding arc lengths. The formula for arc length
is s = r*theta, where r is the radius and theta the central angle.
In 15 minutes, the minute hand sweeps out 1/4 of a circle, or pi/2 radians. This is the central angle. The arc length (how far the minute hand moves in 15 min) is then
s = (6 inches)(pi/2 rad) = 3pi inches, or about 9.42 inches.
25 minutes is equivalent to a central angle of (25/60)pi rad, or 1.31 radians. What is the associated arc length? Calculate this in the same way as I did for a central angle of pi/2.
The picture of the question provided is non-existent
Let
h
represent hours worked.
Now, we know the pay for one hour of work is
$
9.50
. So, the amount of pay for
h
hours worked is given by
9.50
h
.
Furthermore, since we're saving for a camera that costs
$
247
,
we want at LEAST
$
247
(but it's okay if we have more). So, we'll be using
≥
in the inequality.
So, our inequality is
9.50
h
≥
247
To solve, we simply divide both sides by
9.50
:
h
≥
247
9.50
h
≥
26
You need to work at least
26
hours to buy the digital
Answer:
Step-by-step explanation:
3x-2y=24......eqi
x+2y=48........eqii
now solving eq i&ii
4x=72
x=72/4
x=18
now putting the value of x in eqii
18+2y=48
2y=48-18
y=30/2
y=15
