Answer: Half the students weighed less than 7 pounds, 5 ounces, and half the students weighed more.
Step-by-step explanation:
6x+6=8x
-6x -6x
-----
6=2x
6 divided by 2
x=3
Answer:
22.6 inches
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
The diameter is 7.2 inches
Approximating pi by 3.14
C = 3.14 * 7.2
C = 22.608
Rounding to the nearest tenth
C = 22.6
The correct question is
The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of √<span>2/2 .
What is the measure of the angle?
Let
</span>∅--------> the angle
cos ∅=√2/2<span>
cos </span>∅=[distance of one of the leg/hypotenuse]
[distance of one of the leg/hypotenuse]=√2/2
<span>I could say that
</span>distance of one of the leg=√2
and
hypotenuse=2
so
<span>applying the Pythagorean theorem
</span>c=hypotenuse=2
a=√2
b=?
c²=a²+b²-------> b²=c²-a²------> b²=2²-(√2)²-----> b²=2-----> b=√2
therefore
if a=b
then
the angle ∅=45°
the answer is the option
<span>b.45 degrees</span>
Treat
as the boundary of the region
, where
is the part of the surface
bounded by
. We write
with
.
By Stoke's theorem, the line integral is equivalent to the surface integral over
of the curl of
. We have
so the line integral is equivalent to
where
is a vector-valued function that parameterizes
. In this case, we can take
with
and
. Then
and the integral becomes
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