Answer:
474.84 ft of fencing is needed
Step-by-step explanation:
We know that the angles of a triangle sum up 180º. We already know 2 of the triangle's angles (55º and 63º). Therefore the third angle measures:
180 - 55 - 63 = 62.
To know how much fencing is needed, we need the perimeter of the triangle, so we need to find out how much the other sides of the lot measure.
We will use law of sins to solve this problem.
First we solve for y:
Now we solve for the other side of the lot, x:
Now that we have the measures of all the sides we sum them up
total fencing needed= 150 + 163.16 + 161.68 = 474.84
Answer:
57 children
54 adults
Step-by-step explanation:
Let's call x the number of children admitted and call z the number of adults admitted.
Then we know that:
We also know that:
We want to find the value of x and z. Then we solve the system of equations:
-Multiplay the first equation by -4 and add it to the second equation:
----------------------------------
Now we substitute the value of x in the first equation and solve for the variable z
<u>Answer:</u>
The available amount for the down payment of car and invested $3,200 at 3.75% interest compounded continuously is 3449.23$
<u>Explanation:</u>
We know final amount is given by
Where,
A = final amount
P = initial principal balance = $3200
r = interest rate = 3.74%
t = number of time periods elapsed = 2 years
Substituting the values in the formula
A=
We know, e = 2.72
So we get A = 3449.23$ which is the available amount for the down payment of car .