Answer:
Step-by-step explanation:
recall that the inside angles of a triangle add up to 180°
and also that the angle 115° is the other part of a 180° total
180=115+y
180-115 =65
then the inside angle at Y is 65°
add the three inside (interior of the triangle) angles up
180= 65 + (4k+5) + (6k+10)
180 = 65 + 10k + 15
180 = 80 + 10k
100 = 10k
10 = k
see how I did that?
One Solution
Infinitely Many Solutions
No Solutions
Answer: 2t-3.5
Step-by-step explanation:
You multiply the numbers inside parentheses by 1/2.
Then you simplify.
Answer:
It’s 5t something i don’t know man don’t ask me
Step-by-step explanation:
Work Shown:
Use the surface area to determine the radius.
SA = 4*pi*r^2
1519.76 = 4*3.14*r^2
1519.76 = 12.56*r^2
r^2 = 1519.76/12.56
r^2 = 121
r = sqrt(121)
r = 11
The radius of the sphere is 11 feet.
Now we can determine the volume of the sphere.
V = (4/3)*pi*r^3
V = (4/3)*3.14*11^3
V = 5572.45333333333
V = 5572.45
The volume of the sphere is approximately 5572.45 cubic feet.
The result is approximate because pi = 3.14 is approximate.
Option C:
f(x) = 5x + 7 is the function of the input-output table.
Solution:
Option A: f(x) = 6x + 9
Input x = 1 in the above equation.
f(1) = 6(1) + 9
= 6 + 9
f(1) = 15
But the output is 12 in the table.
So, it is not the function of the table.
Option B: f(x) = 7x + 5
Input x = 1 in the above equation.
f(1) = 7(1) + 5
f(1) = 12
Input x = 5 in the above equation.
f(5) = 7(5) + 5
f(5) = 40
But the output is 32 in the table.
So, it is not the function of the table.
Option C: f(x) = 5x + 7
Input x = 1 in the above equation.
f(1) = 5(1) + 7
f(1) = 12
Input x = 5 in the above equation.
f(5) = 5(5) + 7
f(5) = 32
Input x = 10 in the above equation.
f(10) = 5(10) + 7
f(10) = 57
Input x = 5 in the above equation.
f(15) = 5(15) + 7
f(15) = 82
All outputs are correct for the given input.
Hence it is the function of the table.
Option D: f(x) = 12x + 1
Input x = 1 in the above equation.
f(1) = 12(1) + 1
f(1) = 12
Input x = 5 in the above equation.
f(5) = 12(5) + 1
f(5) = 61
But the output is 32 in the table.
So, it is not the function of the table.
Hence Option C is the correct answer.
f(x) = 5x + 7 is the function of the input-output table.