Answer: C.
Step-by-step explanation:
The 2 in the numerator should be –2.
Answer:
A. 1206 cm³
Step-by-step explanation:
We have a cone and are asked to find the approximate volume of it.
Keep in mind we are using π for 3.14
The forumla of a cone is V = πr²
We know the radius = 12
and the height = 8
Substitute :
V = π12²
Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:
V = 
Cancel the common factor - 3 :
V = 
Multiply 8 and 3π :
V = 
Solve the exponent :
V = 
Multiply :
V = 
Multiply for the final answer :
1205.76 cm³
which can be rounded up to
A. 1206 cm³
Answer:
C. Town A has the greater average number of dogs per neighborhood.
Step-by-step explanation:
First, find Town A's average number of dogs per neighborhood. Since the graph is a straight line, you can find the number of dogs per neighborhood by dividing a given y-value by its x-value counterpart:
(4,60)
60 dogs / 4 neighborhoods
<u>15 dogs / neighborhood.</u>
Now, we must find the average number of dogs per neighborhood in Town B. Since the equation is y = 10x, where x is the number of neighborhoods, in 1 neighborhood, there are 10 dogs:
<u>10 dogs / neighborhood.</u>
Finally, compare the two values:
15 > 10
<u>C. Town A has the greater average number of dogs per neighborhood.</u>
Answer: The measurement of ∠EFG is equal to 70°.
Step-by-step explanation:
Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:
(6x - 10) + 38 = 7x + 18
In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.
(6x - 10) + 38 = 7x + 18
6x + 28 = 7x + 18
We then substract 18 on both sides.
6x + 10 = 7x
We finally substract 6x from both sides in order to have the value of x.
x = 10
Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.
m∠EFG = 6x + 10
m∠EFG = 6(10) + 10
m∠EFG = 60 + 10
m∠EFG = 70
Answer:
<h2>
t10 = - 2¹⁹= -524288</h2>
Step-by-step explanation:
t1=2
t2=-8
r=t2/t1=-8/2=-4
t10=t1*r⁹
t10=2*(-4)⁹= -2*(2²)⁹
t10= -2¹⁹= -524288
