How do i answer this? Please help

The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents

kvv77 [185]

Answer: $\pi =\frac{47.1}{15}$

Step-by-step explanation:

The complete exercise is: "The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents the value of π? "

In order to solve this exercise, it is important to remember that the circle can be calculated with the following formulas:

1. $C=\pi D$

Where "C" is the circumference of the circle and "D" is the diameter of the circle.

2. $C=2\pi r$

Where "C" is the circumference of the circle and "r" is the radius of the circle (Remeber that the diameter is twice the radius).

In this case, the exercise gives you the circumference of the circle and its diameter. These are:

$C=47.1\\\\d=15$

Then, knowing those values, you can substitute them s into the first equation $C=\pi D$ , as following:

$47.1=\pi (15)$

The final step is to solve for $\pi$ :

$\pi =\frac{47.1}{15}$

8 0

3 years ago

Circle B has a radius of 7.2in. Find the diameter of circle B dilated by a factor of 8.1

Helen [10]

Since the scale factor is greater than 1, this dilation will be an enlargement. Therefore, you multiply 7.2 times 8.1 to get 58.32. This question asks for diameter, so multiply 58.32 times 2 to get 116.64 in.

5 0

3 years ago

Explain how finding 7x20 is similar to similar to finding 7x2000.then find each product

notka56 [123]

They are both similar because you just have to multiply 7 x 2 and then add the zeros. 7 x 20 is 140 and 7 x2000 is 14000

7 0

3 years ago

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The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm.

Nat2105 [25]

Answer:

A) Maximum error = 170.32 cm³

B)Relative error = 0.0575

Step-by-step explanation:

A) Formula for circumference is: C = 2πr

Differentiating with respect to r, we have;

dC/dr = 2π

r is small, so we can write;

ΔC/Δr = 2π

So, Δr = ΔC/2π

We are told that ΔC = 0.5.

Thus; Δr = 0.5/2π = 0.25/π

Now, formula for Volume of a sphere is;

V(r) = (4/3)πr³

Differentiating with respect to r, we have;

dV/dr = 4πr²

Again, r is small, so we can write;

ΔS/Δr = 4πr²

ΔV = 4πr² × Δr

Rewriting, we have;

ΔV = ((2πr)²/π) × Δr

Since C = 2πr, we now have;

ΔV = (C²/π)Δr

ΔV will be maximum when Δr is maximum

Thus, ΔV = (C²/π) × 0.25/π

C = 82 cm

Thus;

ΔV = (82²/π) × 0.25/π

ΔV = 170.32 cm³

B) Formula for relative error = ΔV/V

Relative error = 170.32/((4/3)πr³)

Relative error = 170.32/((4/3)C³/8π³)

Relative errror = 170.32/((4/3)82³/8π³)

Relative error = 170.32/2963.744

Relative error = 0.0575

3 0

3 years ago

2 Points<br> What is the slope of the line described by the equation below?<br> y=-x+8

MaRussiya [10]

Answer: -1

Step-by-step explanation:

slope formula: y=mx+b

m=slope

y=(-1)x+8

5 0

3 years ago

Read 2 more answers