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garik1379 [7]
4 years ago
8

A circle has a circumference of 50.24 units.

Mathematics
2 answers:
Karo-lina-s [1.5K]4 years ago
6 0

Answer:

8 units

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

50.24 = 2 * pi * r

Using 3.14 to approximate pi

50.24 = 2 * 3.14 * r

50.24 = 6.28 r

Divide each side by 6.28

50.24/6.28 = r

8 = r

Savatey [412]4 years ago
4 0

Answer:

<h2>radius = 8 units</h2>

Step-by-step explanation:

Circumference of a circle = 2πr

where

r is the radius

From the question

Circumference = 50.24 units

To find the radius substitute the value into the above formula and solve for the radius

That's

50.24 = 2\pi \: r

Divide both sides by 2π

We have

r =  \frac{50.24}{2\pi}

r = 7.9959

We have the final answer as

<h3>radius = 8 units</h3>

Hope this helps you

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Factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z​
Oliga [24]

<u>Part a)</u>

Given the expression

54m^3n\:+\:81m^4n^2

Apply exponent rule:    a^{b+c}=a^ba^c

54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn     ∵ m^4n^2=m^3mnn

Rewrite 81 as 3 · 27

Rewrite 54 as 2 · 27

                             =2\cdot \:27m^3n+3\cdot \:27m^3mnn

Factor out the common term:   27m³n

                              =27m^3n\left(2+3mn\right)      

Therefore,

54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)

<u>Part B)</u>

Given the expression

15x^2y^3z+25x^3y^2z+35x^2y^2z

Apply exponent rule:    a^{b+c}=a^ba^c

15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z

Rewrite as

                                               =3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z

Factor out common term 5y²x²z

                                                =5y^2x^2z\left(3y+5x+7\right)

Therefore,

15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)

8 0
3 years ago
Please help please thanks
Alina [70]

Answer:

A

Step-by-step explanation:

Newton's third law states that for every force, there is an equal and opposite reaction. For example, if you collide two objects together, all of the forces in the system would cancel out because energy conserved with the opposite and equal reactions.

Between two examples (2 identical billiard balls and 2 different toy cars), the easiest way to demonstrate Newton's third law is using the 2 balls, since they are identical in shape and mass. When pushing the two balls in the exact same way with the SAME force, the net force of the equation is basically 0;

F_f = F_1 + F_2 = ma - ma = 0

Therefore, A is correct.

If you pushed a toy car and a toy truck towards each other using the same force, the outcome would not be completely opposite since F = ma and masses are different. Instead, to have a completely opposite and equal reaction, the resulting direction and forces are different. The lighter car would accelerate more in the opposite direction to compensate for the lighter mass. Therefore, B is wrong because even though they are different sizes, newton's third law still happens in the resulting direction and forces, but are simply harder to explain due to so many differing factors.

C is wrong, because diameter of two objects has no correlation to the net force equations. Even if two objects have the same diameter, they could have different masses, shapes, elasticity, etc.

D is wrong, because it goes against Newton's 3rd law. Newton's 3rd law is a LAW. Meaning, it is ALWAYS true (unless in some distant future it's disproven). In any and every collision, energy is conserved in some way that net forces equal 0; either in friction, gravitational force, or resulting force, the net force is always 0.

5 0
3 years ago
What is the percent decrease from 145 to 132
Vadim26 [7]
<span>First, subtract 132 from 145, then divide 145 by that answer (13) and you will get : 11.1538461538</span>
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3 years ago
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Radda [10]

Answer:

CD = 4.4ft

Step-by-step explanation:

Given

DE = 12

\angle C = 70^\circ

Required

Find CD

This question is represented with the attached triangle

To solve CD, we make use of tan formula.

tan(70) = \frac{DE}{CD}

Substitute 12 for DE

tan(70) = \frac{12}{CD}

Make CD the subject

CD = \frac{12}{tan(70)}

CD = \frac{12}{2.7475}

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Bess [88]

Answer:

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Step-by-step explanation:

If 94 is 4%, multiply it by 25 to get $2350, or 100%

4 0
3 years ago
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