1 yard = 3 feet
1 minute = 60 seconds
Multiply 32 feet per second by 60 to find feet per minute:
32 x 60 = 1920 feet per minute.
Divide total feet per minute by 3 feet to find yards per minute:
1920 / 3 =640 yards per minute.
Answer:
a) For this case we can use the fact that 
And for this case since we ar einterested on 
and we know that the if we are below the y axis the sine would be negative then:
b) From definition we can use the fact that 
and we got this:
We can use the notabl angle 
and we know that :
Then we know that 
correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:
Step-by-step explanation:
For this case we can use the notable angls given on the picture attached.
Part a
For this case we can use the fact that
And for this case since we ar einterested on and we know that the if we are below the y axis the sine would be negative then:
Part b
From definition we can use the fact that and we got this:
We can use the notabl angle and we know that :
Then we know that correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:
11 hours = 3
1 = 3 hours 40 minutes
The first case occurs in
for
and
. Extending the domain to account for all real
, we have this happening for
and
, where
.
The second case occurs in
when
, and extending to all reals we have
for
, i.e. any even multiple of
.
Answer:
B. 90 + 90 √2
Step-by-step explanation:
From first base to the second base, it will travel 90 feet.
From the second base to the home plate, it will travel a longer distance. How much? Well, if you look at the layout of the field, you'll see that if you draw a line from second base to the home plate, you'll form two rectangular triangles, one with the 1st base, another one with the 3rd base.
The line from the 2nd base to home plate is the hypotenuse, which we can easily find by:
h²=90² + 90²
h = √(2 * 90²)
h = 90 √2
So, from second base to home plate, the ball has traveled 90 √2
Overall: 90 + 90 √2
