Answer:
<u>9π m²</u>
Step-by-step explanation:
We will need calculate the area of the top, the base and sides.
Area of the top=πr²
Area of the base=πr²
Area of the side: 2πrh
Surface area of a cylinder: area of the top + area of the base +area of the side
Surface area of a cylinder=πr²+πr²+2πrh=2πr²+2πrh=2πr(r+h)
Data:
r=1.5 m
h=1.5 m
Surface area of this cylinder=2π(1.5m)(1.5 m+1.5 m)=3π m*(3 m)=9π m².
Answer:
C 2
Step-by-step explanation:
This is a parabolic function
Notice how we go negative and then positive
y = ax^2 +bx+c
Let x = 0
-5 = a(0) + b(0) +c
c = -5
y = ax^2 + bx -5
Let x = 3
4 = a(3)^2 +b(3) -5
Let x=-3
4 = a(3)^2 -b(3) -5
Add the two equations
4 = a(3)^2 +b(3) -5
4 = a(3)^2 -b(3) -5
----------------------------
8 = 2a (3)^2 - 10
18 = 2 a(9)
18 = 18a
a =1
Solving for b
4 = 1(3)^2 -b(3) -5
4 = 9 -3b -5
4 = 4 -3b
0 = -3b
0 =b
The equation is
y = (x)^2 -5
Letting y = -1
-1 =x^2 -5
Adding 5 to each side
4 = x^2
Taking the square root of each side
±2 = x
x= ±2
Given the choices
Answer:
Step-by-step explanation:
We are asked to find the tangent line approximation for 
near 
.
We will use linear approximation formula for a tangent line 
of a function 
at 
to solve our given problem.
Let us find value of function at as:
Now, we will find derivative of given function as:
Let us find derivative at
Upon substituting our given values in linear approximation formula, we will get:
Therefore, our required tangent line for approximation would be .
Answer: 2.1
Step-by-step explanation:
3.4 - 2.8d + 2.8d - 1.3
add the variables together and the coefficients or add the d's with d's and 3.4 with 1.3
= 3.4 - 1.3 = 2.1
=2.8d - 2.8d = 0
The final answer would be 2.1
To find the answer, you first must find how many yards Charlie can run in a minute. Since there are 60 seconds in a minute, you multiply 3 times 60, which is 180. Then you must multiply this number by 60 again, because there are 60 minutes in an hour. This equals 10,800, your answer.
Charlie can run 10,800 yards in an hour.
