Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
we have that
The cosine of angle theta is negative and the tangent of angle theta is positive
That means that the sine of angle theta is negative
step 1
Find 
we know that

we have

substitute




square root both sides

Remember that
In this problem the sine of angle theta is negative
so

step 2
Find 
we know that

we have


substitute the given values

Ok.... so the first part is asking you what the perimeter of the picture itself is.
The picture is 5in by 7in.... SO you add 5+5+7+7=24.... So the perimeter of the pic is 24 inches.
Now part b
So the frame is one inch thick
This mean that the sides are now 2 inches longeron each side
SO we have 7+7+9+9=32
So the perimeter is 32
I hope that helped!!!!! If you dont understand something ask and i will reexplain ;)
We will first put this data in ascending order
12,13,13,15,16,19,32
We then center in on the middle number, we first can “mark out” the highest and lowest number and repeat until we have one number left
12,13,13,15,16,19,32
13,13,15,16,19
13,15,16
The median is 15
Answer:
6108795
Step-by-step explanation:
To obtain the number of ways the committee can be selected :
4 teachers from the 12 teachers available and 3 students from the 43 students available
Using combinatorics :
12C4 * 43C3
recall :
nCr = n! ÷ (n - r)!r!
Using calculator :
12C4 = 495
43C3 = 12341
12C4 * 43C3
495 * 12341
= 6108795
Answer:
500$
finaced= provide funding for