Answer: 142506
Step-by-step explanation:
Given : The total number of choices for people in committee = 30
The number of people need to be chosen =5
Since , here order doesn't matter, so we use combination.
The combination of r things taking from n at a time is given by :-
Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-
Hence, the committee can be made in 142506 ways.
Answer:
Option b
Step-by-step explanation:
To represent this proportion using fractions, let the numerators be the number of waffles sold and denominator, the number of sugar cones.
Thus, the proportion that can be used to represent the cone sales is
14/6 = 7/3
So i'm assuming 33^a is saying any number that is a square of 33 inside of 1,313 so first, to find how many even numbers divide 1,313 by two to get 656.5 so if I am not mistaken 656 numbers in 1,313 will be even. Now find all squares of 33 that don't pass 1,313 which is 33 itself and 1,089 because 33^3 is 35,937 so add 2 to 656 to get 668. so the probability is 658/1,313 i believe.
The correct question is
<span>Given cos theta=4/9 and csc theta < 0 find sin theta and tan theta
</span>
we know that
csc theta=1/sin theta
if csc theta < 0
then
sin theta < 0
we have that
<span>cos theta=4/9
we know that
sin</span>² theta+cos² theta=1
so
sin² theta=1-cos² theta-----> 1-(4/9)²----> 1-(16/81)----> 65/81
sin theta=-√(65/81)---->-√65/9
the answer Part a) is
sin theta=-√65/9
Part b) find tan theta
tan theta=sin theta/cos theta
tan theta=(-√65/9)/(4/9)-----> tan theta=-√65/4
the answer part b) is
tan theta=-√65/4
Step-by-step explanation:
Given
mass (m) = 5000 kg
velocity (v) = 100 km/h = 100* 1000/ 3600 = 27.78m/s
Now
Kinetic energy
= 1/2 mv²
= 1/2 * 5000 * 27.78²
= 1929321 joule
