Answer:
90π cm²
Step-by-step explanation:
Given: Radius of circular base= 5 cm
height= 12 cm
Now finding the surface of cone.
Formula; Surface area of cone= 
Where; r= radius
l= slant height
B is the area of base, which is circle.
Area of circle (B)= πr²
Area of circle (B)= 
∴ Area of circle (B)= 
Finding slant height (l)
Formula; 
⇒l = 
∴ l= 
Next, using the formula for finding surface area of cone.
Surface area of cone= 
⇒ Surface area of cone= 
∴ Surface area of cone= 90π cm²
divide 2 into 40 that gives you 20 then subtract 2 that gives you your answer
cause she only had two left
15/3. = 5
9/3. = 3
5/3 os the answer
Answer:
No, it doesn't.
Step-by-step explanation:
In order to find what makes a triangle, lets use the Triangle Inequality Theorem!
This theorem can help us show whether the sum of two side lengths of a triangle is greater than the third side or not
Here is our formula(s):
1.)<em> a + b > c</em>
2.)<em> a + c > b</em>
3.) <em>b + c > a.</em>
Lets make a=12, b=7, & c=5
1.) 12 + 7 > 5
19 > 5
2.) 12 + 5 > 7
17 > 7
3.) 7 + 5 > 12
10 > 12
As you can see, both numbers 1 and 2 shows to be correct but 3 is not. Therefore it doesn't make a triangle. Remember, if <em>all</em> the two side lengths of a triangle is greater than the third side, then it makes a triangle.
To model this situation, we are going to use the standard linear function:

.
1. Since S represent the total amount of money in the savings account,

. We also know that each week she adds $40 to her account, so the slope of our linear equation will be

; therefore,

. Since she started her account with $750,

.
Lets replace those values in our linear function:

We can conclude that equation that models this situation is:
2. Now to find the total amount after 16 weeks, we just need to replace

with 16 in our equation and simplify:


We can conclude that the amount of money in her account after 16 weeks is $1390