Answer:
Below.
Step-by-step explanation:
A. Required probability = 11/80.
B. 3700 * 11/80 = 508.75 so the predicted number would be 509.
We know that
<span>the isosceles triangle has two equal sides
</span>
<span>let's analyze two cases
</span>
first case
perimeter=22 cm
<span>let's suppose that the known side of 6 cm is one of the two equal sides
</span>perimeter=6+6+x
22=6+6+x-----> x=22-12----> x=10 cm
answer first case
<span>the possible lengths of the other two sides are
</span>6 cm
10 cm
second case
let's suppose that the known side of 6 cm is the side that is not equal
perimeter=22 cm
perimeter=6+x+x
22=6+x+x----> 2x=22-6----> 2x=16-----> x=8 cm
answer second case
the possible lengths of the other two sides are
8 cm
8 cm
Answer:
He earned 110287.3536 dollars
Answer:

Step-by-step explanation:
<u>Formula for circumference of a circle is</u>:
Circumference = 
<em>Given circumference of the ring is
</em>
<em>Now solving for the radius gives us:</em>

We know that area of a circle is
, substituting the value of r we found, we get the area as:
area (A) = 
Hence the Area (A), in terms of
is
Answer:
Although strictly speaking of mathematics i.e. theoritically,
t
can take any value from
{
−
∞
,
∞
]
,
however, it is essentially a physical problem related to Physics and we cannot have negative
t i.e. t
≥
0
Further, after the maximum is reached at t
=
2 (observe that first differential is h
'
(
t
)
=
−
32
t
+
64
, which is zero at t
=
2 and second derivative h
'
'
(
t
)
=
−
32 is negative and at this we have h
(
2
)
=
64
), at t
=
4
, h
(
4
)
=
0 i.e. toy rocket falls back to the ground and as such, we cannot have h
>
4
.
Hence, domain for t is [
0
,
4
]
.
tbh google