Answer:
5.83units
Step-by-step explanation:
from Pythagoras theorem;
a^2=b^2+c^2
where a is the hypotenuse,b is the opposite and c is the adjacent
b=3 and c=5
a^2=3^2+5^2
a^2=9+25
a^2=34
find the square root of both sides,
√a^2=√34
a=5.83units
A) 264 ft would be how far he does one lap around the track
The answer is B
Because if you use your calculation right you would end up with 16,463
Answer:
There are 40 different combinations possible of one massage and one pedicure.
Step-by-step explanation:
We have that:
For each combination of messages, there are eight different pedicures.
There are five possible combinations of messages.
So
5*8 = 40
There are 40 different combinations possible of one massage and one pedicure.
Answer:
<h2>(g o f)(- 4) = 570</h2>
Step-by-step explanation:
f(x)=4x+5
g(x)=4x² - 5x - 3
To find (g o f)(-4) we must first find
(g o f )(x)
To find (g of f)(x) substitute f(x) into g(x)
That's
(g o f)(x) = 4(4x + 5)² - 5(4x - 5) - 3
= 4( 16x² + 40x + 25) - 20x + 25 - 3
= 64x² + 160x + 100 - 20x + 22
(g o f)(x) = 64x² + 140x + 122
To find (g o f)(- 4) substitute the value of x that's - 4 into (g o f)(x)
Thats
(g o f)(- 4) = 64(-4)² + 140(-4) + 122
= 64(16) - 576 + 122
= 1024 - 454
We have the final answer as
<h3>(g o f)(- 4) = 570</h3>
Hope this helps you