Answer:
Step-by-step explanation:
The circumference of a circle is the distance around the circle, or the perimeter. It is the product of pi and the diameter.
The diameter is the distance from one side to the other through the center. If we look at the circle given, we see the diameter must be 52 yards.
Also, remember we are using 3.14 for pi.
= 3.14
Substitute these values into the formula.
Multiply.
The circumference of the circle is <u>163.28 yards.</u>
Answer:
No solution
Step-by-step explanation:
Step 1: Write out equations
y = -1/4x + 2
3y = -3/4x - 6
Step 2: Substitution
3(-1/4x + 2) = -3/4x - 6
Step 3: Distribute
-3/4x + 6 = -3/4x - 6
From here, we can see that we have the same slope but different y-intercept. This means that the 2 lines are parallel and therefore never intersect.
Alternatively, you could graph the equations and see that the 2 lines are parallel and never intersect.
The value of x = ㏑120 = 4.78749 . . .
Since eˣ = 120, taking the natural logarithm of both sides, we have
㏑eˣ = ㏑120
x㏑e = ㏑120
Dividing though by ㏑e, we have
So, x = ㏑120/㏑e
x = ㏑120/1 (since ㏑e = 1)
x = ㏑120
x = 4.78749
So, the value of x = ㏑120 = 4.78749 . . .
Learn more about natural logarithm here:
brainly.com/question/20877473
<span>Factors of 78: 1, 2, 3, 6, 13, 26, 39, 78</span>
