Answer:
149.43 feet tall
Step-by-step explanation:
From the base of a large tree, a bird watcher is standing 50 feet away.
There is 71.5° of elevation from the bird watcher to a bird on the top of the tree.
If we ignore the height of the observer and consider the height of the tree as h feet, then using trigonometry we can write that
tan 71.5° = 
= 
Hence, h = 50 tan 71.5° =149.43 feet.
Therefore, the tree is 149.43 feet tall. (Answer)
Her statement is not reasonable because it is not true that 25% of female marathoners run 13 or more miles a week, it is true that 25% run less than 13 miles a week (out of the data). The rest of the data would be 75%, making the statement, "75% of female marathoners run 13 or more miles a week" true. The way she recorded the data does not interfere with the statement being reasonable since it is unbiased.
Since the angle is positive, you can find any coterminal angle by applying:
Angle + x = 2π ==> 7π/6 + x = 2π ==> x = 2π - 7π/6
x= 12π/6 -7π/6 = 5π/6
So the angle 5π/6 is the coterminal of 7π/6
use this formula
Step-by-step explanation:
Use the distance formula.
d = √[(x2 - x1)2 + (y2 - y1)2]
You have all of the coordinates. Plug in the numbers and evaluate.
1. solutions are intersection points
they intersect at x=4 and x=1 or the points (4,0) and (1,0)
select 4 and 1
2.
sub -x for x
if you get the same function, it is even
if you get the exact negative of the function, it is odd
if neither, then neither
basically
f(-x)=f(x) is even
f(-x)=-f(x) is odd
and neither is neighter
so
f(-x)=-2(-x)²+3(-x)
f(-x)=-2(x)²-3x
f(-x)=-2x²-3x
that is not the same function nor is it the exact oposite
neither even nor odd
3.
domain is the time you can use
obvioulsy start at time=0
and stop when it hits the ground because it shouldn't go underground
so domain is all real numbers from 0 to 5 including 0 and 5
that is [0,5]
4. (the (f+g)(x) one)
(f+g)(x)=f(x)+g(x)
so that is just
x²-36+x³+2x²-10=
x³+3x²-46
5. just mulitply them
x⁷+9x⁴-9x³-81
6. minus them
(3x⁵+6x²-5)-(2x⁴+7x²-x+16)
3x⁵+6x²-5-2x⁴-7x²+x-16
3x⁵-2x⁴-x²+x-21
