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TEA [102]
3 years ago
9

FInd the area of the circle

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0

Answer:

A = 12.56 m²

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Geometry</u>

  • Area of a Circle: A = πr²
  • d = 2r

Step-by-step explanation:

<u>Step 1: Define</u>

d = 4 m

<u>Step 2: Find </u><em><u>r</u></em>

  1. Substitute:               4 = 2r
  2. Isolate <em>r</em>:                   2 = r
  3. Rewrite:                    r = 2 m

<u>Step 3: Find Area</u>

  1. Substitute:               A = π(2)²
  2. Substitute:               A = (3.14)(2)²
  3. Evaluate:                  A = (3.14)(4)
  4. Multiply:                   A = 12.56 m²
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Explain how proving to triangles congruent can help prove parts of the triangle congruent.
nydimaria [60]

Answer:

CPCTC - Corresponding Parts of Congruent Triangles are Congruent

Step-by-step explanation:

When two triangles are congruent, this means they have the same shape and the same size. To have the same shape, each angle must be congruent. To have the same size, each side length must be congruent. When you know two triangles are congruent you can say each corresponding part of congruent triangles is congruent. This is known as CPCTC.

7 0
4 years ago
Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo
Likurg_2 [28]

Answer:

The given equation is

25x^{2} +4y^{2}=100

Which represents an elipse.

To find its elements, we need to divide the equation by 100

\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1

Where a^{2} =25 and b^{2}=4. Remember that the greatest denominator is a, and the least is b. So, we extract the square root on each equation.

a=5 and b=2.

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is 2a=2(5)=10.

The length of the minor axis is 2b=2(2)=4.

The vertices are (0,5);(0,-5) and (2,0);(-2,0).

Now, the main parameters of an elipse are related by

a^{2}=b^{2} +c^{2}, which we are gonna use to find c, the parameter of the focus.

c=\sqrt{a^{2}-b^{2} }=\sqrt{25-4}=\sqrt{21}

So, the coordinates of each focus are (0,\sqrt{21}) and (0,-\sqrt{21})

The eccentricity of a elipse is defined

e=\frac{c}{a}=\frac{\sqrt{21} }{5}  \approx 0.92

The latus rectum is defined

L=\frac{2b^{2} }{a}=\frac{2(4)}{5} =\frac{8}{5} \approx 1.6

Finally, the graph of the elipse is attached.

7 0
3 years ago
There are 4512 marbles which will be divided equally among 48 students how many marbles will each student get
Grace [21]

Answer:

94 marbles

Step-by-step explanation:

4512/48 = 94

3 0
3 years ago
What is 48 divided by 120
Alexandra [31]
The answer of this question is 0.4
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3 years ago
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A car is traveling at a speed of 110 kilometers per hour. What is the car's speed in miles per hour? How many miles will the car
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Divide the speed in kmph by 1.6 to get miles per hour.


110 / 1.6 = 68.75 miles per hour


Multiply the speed by the time.


68.75 x 5 = 343.75 miles in 5 hours.

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