Step-by-step explanation:
Draw the triangle formed by the ray.
The hypotenuse of the triangle is:
c² = a² + b²
c² = (-5)² + (2√7)²
c² = 25 + 28
c = √53
Therefore:
cos β = -5 / √53
Or, as a proper fraction:
cos β = -5√53 / 53
Answer: a) 
b) 25165824000
Step-by-step explanation:
The exponential equation for growth is given by :-
, where a= initial value , b =multiplicative growth factor and t = time.
Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.
i.e. a = 1500 and b= 2
Then, the function N that models the number of bacteria after t hours will be :
To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get
Hence, the number of bacteria after 24 hours is 25165824000.
Between -2&-1 is the answer
Answer:
Shane must have collected At least 911 cans.
Step-by-step explanation:
Number of cans collected by Shane = S
Abha collected more cans than Shane = S+178
Both Shane and Abha have to collect no less than 2000 cans for recycling.
Writing the statement in terms of inequality:
S+S+178≥ 2000
2S+178≥2000
2S≥2000-178
2S≥ 1822
S≥1822/2
S≥911
Shane must have collected At least 911 cans...
Answer:
1.6 hours / 1 hour 36 minutes
Step-by-step explanation:
105+95=200 miles
This is the distance that the trains could travel in an hour.
320÷200=1.6 hours
Our Answer is 1.6 hours / 1 hour 36 minutes