Answer:
Step-by-step explanation:
"To make x the subject" means to have the equation with all the terms in x on one side. As of now, y is the subject of the equation.
You start by subtracting 2 from both sides, you should get the following.
Then you multiply by 2 from both sides, you should end up with the following.
Therefore, you get the following.
Finally, you distribute and get the answer.
(a) is the first one. 48 I would say 8 mins
(b) is the second one. 10 I would say is 96
61.26 in^2
Explanation: plug in the formula to get SA=2π1.5^2+2π(1.5)(5)
Since eleven is odd, there must be a centra element, which in this case is the sixth. So, we can write 11 consecutive integers as
Since the arithmetic mean is the sum of the values, divided by how many they are, we have
So, the mean of 11 consecutive integers is the 6th integer.
Answer:
39 feet
Step-by-step explanation:
From the question;
let length of ladder =x feet
height of ladder will be=x-3 feet
ground distance of ladder bottom to building=15 feet
Applying Pythagorean relation
a²+b²=c²
where a=15 feet b=x-3 feet and c=x feet thus
x²-15²=(x-3)²
x²-225=x²-6x+9
collect like term
x²-x²-225-9=-6x
-234= -6x
x= 39 feet length of ladder
distance from ground to top of ladder= 39-3=36 feet
