Answer:
z = 1
Step-by-step explanation:
Since this is an equation we can cross multiply the fractions
7/z = 84/12 ➡ 84×z = 7×12
84z = 84 divide both sides by 1
z = 1
Answer:
81.23 ft and 77.88 ft long
Step-by-step explanation:
The sum of the internal angles of a triangle is 180 degrees, the missing angle is:

According to the Law of Sines:

Let A be the side that is 147 feet long, the length of the other two sides are:

The other two sides are 81.23 ft and 77.88 ft long
Given :
The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by
.
To Find :
Find the time at which the concentration is a maximum. b. Find the maximum concentration.
Solution :
For maximum value of x, K'(x) = 0.

Since, time cannot be negative, so ignoring x = -3 .
Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6
Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.
Hence, this is the required solution.
Answer:
Step-by-step explanation:
Before to get started we are going to imagine a grid with 3 rows and ten columns.
In order to find how many different paths are possible to reach the upper right corner from the lower left corner we have to take in account that every possible route has just 13 moves. 3 right moves and 10 up moves.
Since order does not matter in our paths , we can solve this problem using combination formula.
C(n,r)=
Let n=all possible moves
r= number of right or up moves
The number of possible paths can be found by finding how many combinations of right moves or up moves we can have in all possible moves. We will end up with he exact same result.
In this case we will use r as the number of up moves.
C(13,10)=
286 <u>paths are possible!</u>