Answer= 6.5y+12
distribute the 5 in the parentheses:
(-6y-3) + (15+12.5y)
(you can take away the parentheses after this step)
then add like terms together.
12.5y + (-6y) = 6.5y
15 + (-3) = 12
make it one expression.
6.5y + 12
First we need to determine the circumference of the bath.
Circumference = Diameter X pi
6(pi) = 18.84 feet
and the girls want to put perches that are at least 3 feet between each other so you can just divide the circumference by 3
18.84 / 3 = 6.28 so 6
If you don't understand the concept then think of it like this, if you have in total 18.84 feet and you want to place something down every 3 feet then start subtracting 3 from your total till you can't add anymore perches.
18 - 3 = 15
15 - 3 = 12
12 - 3 = 9
9 - 3 = 6
6 - 3 = 3
3 - 3 = 0
We subtracted 3, SIX times so we added 6 perches
We are given
△ABC, m∠A=60° m∠C=45°, AB=8
Firstly, we will find all angles and sides
Calculation of angle B:
we know that sum of all angles is 180
m∠A+ m∠B+m∠C=180
we can plug values
60°+ m∠B+45°=180
m∠B=75°
Calculation of BC:
we can use law of sines

now, we can plug values



Calculation of AC:

now, we can plug values



Perimeter:

we can plug values


Area:
we can use formula

now, we can plug values

...............Answer
Answer: (4, -2)
<u>Step-by-step explanation:</u>
Inverse is when you swap the x's and y's: (-2, 4) --> (4, -2)
Answer:
8:36
Step-by-step explanation: