Answer:
4 cm
Step-by-step explanation:
Perimeter = 18cm
θ = 2.5 radian
s = rθ, s = Arc length
Perimeter of Sector, P = arc length, s + 2r
Perimeter = rθ + 2r
r = Radius
18cm = r(2.5) + 2r
18cm = 2.5r + 2r
18cm = 4.5r
r = 18 /4.5
r = 4
12 meters because 100 centimeters is equal to one meter.
Answer:
<h2><u>
50 ft³</u></h2>
Step-by-step explanation:
We know the formula for a rectangular prism is length × width × height
We also know all the sides so we can rewrite the formula replacing variables.
The length is 8, the width is 2
and the height is 2
8 × 2 × 2
Multiply which ever way is easy for you. I am just multiplying from left to right.
8 × 2 = 20
20 × 2 = 50
Now we get 50. Before we put our answer as 50, there are two more steps.
First we need to add the measurement unit which is feet or ft
We also need to add ³ since it is volume
<u>50 ft³ is our final answer</u>
M(x)=−(x−5) 2 +25m, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 5, right parenthesis, squ
Aleksandr [31]
Answer:
25
Step-by-step explanation:
Given the function that represents the amount of mosquitoes as;
M(x) = -(x-5)² + 25
To get the maximum mosquitoes possible, we need to first find x;
At the maximum dM/dx = 0
dM//dx = -2(x-5)
0 = -2(x-5)
-2(x-5) = 0
-2x + 10 = 0
-2x = -10
x = 10/2
x = 5
Substitute x = 5 into the function;
M(5) = −(5−5)² +25
M(5) = 0+25
M(5) = 25
Hence the maximum number of mosquitoes is 25
Answer:
Everything should simplify down to -9a-3 (your answer)
Step-by-step explanation:
Distributive property is basically <em>multiplying the outside number into the inside</em> parenthesis (). Basically #(a)--->#a or #(a+b)---> #a+#b
Since you're not ask to solve for anything but simplify, just multiply 3 to -3a and -1.....
so 3*-3a is -9a and 3*-1 is -3 and you have 3(-3a-1)= -9a-3
