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grandymaker [24]
4 years ago
13

A circle with center at (12,−1) passes through (0,−1). Find the circumference and area of the circle in terms of p.

Mathematics
1 answer:
madreJ [45]4 years ago
6 0

Answer:

C = 75.36

A = 452.16

Step-by-step explanation:

Find the radius r by finding the distance between (12,-1) and (0,-1) using the distance formula.

d = \sqrt{(12-0)^2 + (-1--1)^2} =\sqrt{(12)^2 + (0^2} =\sqrt{144+0} =\sqrt{144}=12

The radius is 12.

So the circumference of the circle is C = 2\pi r = 2\pi 12 = 24\pi = 75.36

So the area of the circle is A = \pi r^2\\A = \pi 12^2\\A = 144\pi\\A = 452.16

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Please helppp Find the perimeter of the figure below.
slava [35]

The perimeter of the figure is 20.73 cm.

<h3>What is perimeter:</h3>

Perimeter is a closed part that surrounds a two dimensional or one length figure.

The perimeter of the figure above is the sum of the wholes sides. In other word the sum that surrounds the whole sides.

Therefore, the perimeter of the figure is as follows:

perimeter = 3.1 + 5.2 + 4.24 + 2.19 + 6

perimeter = 8.3 + 4.24 + 2.19 + 6

perimeter = 12.54 + 2.19 + 6

perimeter = 14.73 + 6

perimeter = 20.73 cm

Therefore, the perimeter of the figure is 20.73 cm.  

learn more on perimeter here: brainly.com/question/6465134?referrer=searchResults

4 0
3 years ago
A geologist is keeping track of the erosion of an island. The land of the island is changing at a rate of -14 inches per year. H
Andrej [43]

Answer:

It will take 12 years to reach from -14 to -168.

Step-by-step explanation:

Just multiply 14 time 12 and that's how to get the answer. Make sure to change it as negative, of course.

8 0
4 years ago
Please help! Algebra! See attached image.
gogolik [260]

Answer:

The correct answer is A. T(c) = (c + 160)/4

Step-by-step explanation:

To solve this, we need to start by using c as a standard term instead of in terms of t. Then we simply solve for t.

C = 4t - 160 ----> Add 160

C + 160 = 4t ----> Divide by 4

(C + 160)/4 = t

7 0
3 years ago
Read 2 more answers
An adult brain is about 140 mm wide and divided into two sections (called "hemispheres" although the brain is not truly spherica
Sedbober [7]

Answer: 3.61×10^5 A

Step-by-step explanation: Since the brain has been modeled as a current carrying loop, we use the formulae for the magnetic field on a current carrying loop to get the current on the hemisphere of the brain.

The formulae is given below as

B = u×Ia²/2(x²+a²)^3/2

Where B = strength of magnetic field on the axis of a circular loop = 4.15T

u = permeability of free space = 1.256×10^-6 mkg/s²A²

I = current on loop =?

a = radius of loop.

Radius of loop is gotten as shown... Radius = diameter /2, but diameter = 65mm hence radius = 32.5mm = 32.5×10^-3 m = 3.25×10^-2m

x = distance of the sensor away from center of loop = 2.10 cm = 0.021m

By substituting the parameters into the formulae, we have that

4.15 = 1.256×10^-6 × I × (3.25×10^-2)²/2{(0.021²) + (3.25×10^-2)²}^3/2

4.15 = 13.2665 × 10^-10 × I/ 2( 0.00149725)^3/2

4.15 = 1.32665 ×10^-9 × I / 2( 0.000058)

4.15 × 2( 0.000058) = 1.32665 ×10^-9 × I

I = 4.15 × 2( 0.000058)/ 1.32665 ×10^-9

I = 4.80×10^-4 / 1.32665 ×10^-9

I = 3.61×10^5 A

3 0
3 years ago
En el supermercado pusieron las siguientes ofertas d frijol : 4kg a 100.80, 5kg a 170.50, 6kg a 260.60, 7kg a 320.40. ¿Cuál es l
Lelechka [254]

Answer:

The first offer: 100.80 for 4kg

Step-by-step explanation:

To find the best offer, we just need to find the price per kilogram, and we do this by dividing the price by the number of kg:

100.80 for 4kg: 100.8/4 = 25.2 per kg

170.50 for 5kg: 170.5/5 = 34.1 per kg

260.60 for 6kg: 260.6/6 = 43.43 per kg

320.40 for 7kg: 320.4/7 = 45.77 per kg

The first offer has the smaller price per kg, so it is the best offer.

3 0
3 years ago
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