Answer:
5.497787144 miles
Step-by-step explanation:
Remember that circumference of a circle can be calculated with:

r=radius
We also know that the radius is just a half of the diameter.
So, the radius of the track is (1/2)/2=1/4 miles
Now, use the circumference of a circle formula to find how much she runs in 1 lap.

Simplify

This is how much she runs in 1 lap.
Multiply by 3.5 for 3 and a half laps.

The answer is around 5.497787144 miles.
Answer:

Step-by-step explanation:



Answer:
(-4x - 2)(-5x) + (-4x - 2)(3)
Step-by-step explanation:
Your polynomial is
(-4x - 2)(-5x + 3)
The distributive property states that
a(b + c) = ab + ac
Let a = -4x - 2. Then
(-4x - 2)(-5x + 3) = a(5x + 3) = a(-5x) + a(3)
Substitute the value of a.
a(-5x) + a(3) = (-4x - 2)(-5x) + (-4x - 2)(3)
You have just distributed the first binomial (-4x - 2) among the terms of the second binomial.
Answer:
Figure 1
Step-by-step explanation:
Congruent shapes are shapes that share the same side lengths and angle measures. In figure 1, we see that all sides and angles are marked equal, thus both shapes are congruent. However, in figure 2, we clearly see that the sides of each of the triangles are different. Thus, the triangles in figure 2 are not congruent.
Answer: 16 miles is the total
Step-by-step explanation:
12 = 3x/4. Or 12/x : 3/4
12/3 = 4. 4×4=16