Step-by-step explanation:
the lateral area of the cone is, well, the lateral area.
the total surface area of the cone is the lateral area plus the area of base circle.
so, the difference between both is the area of the base circle :
120pi - 70pi = 50pi
the area of a circle is
pi×radius²
and that is in our case
pi×radius² = 50pi
radius² = 50
radius = sqrt(50) = 7.071067812... ≈ 7.1 units
therefore, C is the right answer.
If you are trying to find the y intercept then you have already found it, it is 4. From that point you would then draw the rest of the slope.
Instead of drawing from (0,0) you would go up 4 units and then do rise over run (7/3) to plot your line.
Answer:
16 students
Step-by-step explanation:
144 students enter a spelling bee contest.
Step 1
For the semi final round we are told that only 1/6 of the group will make it into that round.
This is calculated as
1/6 × 144/students = 24 students.
This means that only 24 students would make it into the semi final rounds.
Step 2
We are also told in the question that only 2/3 of THAT group would make it into the final round.
" THAT" group been referred to in the question means the number students that made it to the semi final round
This is calculated as
2/3 of that group( the group that made it to the semi finals)
= 2/3 × 24 students
= 16 students.
Therefore, the number of students that will enter the final round of the spelling bee is 16 students.
Answer:
1 / 3^5
1/ 243
Step-by-step explanation:
3^4 ÷ 3^9
We know that a^b ÷ a^c = a^ ( b-c)
3 ^ ( 4-9)
3^ -5
We can rewrite this as a^-b = 1/ a^b
1 / 3^5
We know that 3^5 = 243
1/ 243
Answer: The graph is attached.
Step-by-step explanation:
By definition, the line intersects the y-axis when 
.
Then, in order to find the y-intercept, substitute into the equation and solve for "y":
By definition, the line intersects the x-axis when 
.
Then, in order to find the x-intercept, you can substitute into the equation and then you must solve for "x". Then you get:
Knowing that the line passes through the points 
and 
, you can graph it (The graph is attached).
