Circumference=2πr
=2*3.14*105
=659.4cm
<span>2r ≤ 3(2r - 7)
</span><span>2r ≤ 6r - 21
</span><span>21 ≤ 6r - 2r
</span><span>21 ≤ 4r
</span><span>21/4 ≤ r
r</span>

21/4
r

5.25
B is the answer your welcome
Answer:
See below.
Step-by-step explanation:
First, notice that this is a composition of functions. For instance, let's let
and
. Then, the given equation is essentially
. Thus, we can use the chain rule.
Recall the chain rule:
. So, let's find the derivative of each function:

We can use the Power Rule here:
Now:

Again, use the Power Rule and Sum Rule

Now, we can put them together:


Answer:
6. x = 28 degrees
7. z = 1.6 cm
Step-by-step explanation:
6.
Notice that you can use the property that tells us that the addition of all internal angles of a triangle must give 180 degrees, then you write the following equation:
50 + 69 + (2 x +5) = 180
combine like terms:
119 + 2 x + 5 = 180
124 + 2 x = 180
subtract 124 from both sides:
2 x = 56
divide by 2 both sides:
x = 56 / 2
x = 28 degrees
Problem 7.
If the two triangles are congruent, then the side MN must equal side RS.
Since MN measure 1,8 cm, then RS must also measure 1.8 cm
and we can write the equation:
1.8 = 3 z - 3
adding 3 to both sides:
1.8 + 3 = 3 z
4.8 = 3 z
dividing both sides by 3:
z = 4.8 / 3
z = 1.6 cm