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Juliette [100K]
2 years ago
10

Type the correct answer in the box. Use numerals instead of words.

Mathematics
1 answer:
Vladimir79 [104]2 years ago
5 0

Using the surface area of the sphere, it is found that the radius of the bearing that Helen needs to buy is of 6 millimeters.

<h3>What is the surface area of a sphere?</h3>

The surface area of a sphere of radius r is given by:

S_A = 4\pi r^2

In this problem, we have that:

S_A = 452.16

Hence:

4\pi r^2 = 452.16

r = \sqrt{\frac{452.16}{4\pi}}

r = 6.

The radius of the bearing that Helen needs to buy is of 6 millimeters.

More can be learned about the surface area of a sphere at brainly.com/question/21207980

#SPJ1

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If a 200 N net force acts on a 500 grams car, what will the acceleration of the car be? ​
ladessa [460]

Answer:

The acceleration of the car will be 400 m/s².

Step-by-step explanation:

The acceleration of the car can be found using Newton second law:

F = ma

Where:

F: is the net force = 200 N

m: is the mass = 500 g

a: is the acceleration =?

Then, the acceleration will be:

a = \frac{F}{m} = \frac{200 N}{500 g*\frac{1 kg}{1000 g}} = 400 m/s^{2}  

Therefore, the acceleration of the car will be 400 m/s².

I hope it helps you!

4 0
3 years ago
Use​ l'Hôpital's Rule to find the following limit. ModifyingBelow lim With x right arrow 0StartFraction 3 sine (x )minus 3 x Ove
steposvetlana [31]

Answer:

\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=-\frac{1}{14}

Step-by-step explanation:

The limit is:

\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{0}{0}

so, you have an indeterminate result. By using the l'Hôpital's rule you have:

\lim_{x \to 0} \frac{a(x)}{b(x)}= \lim_{x \to 0} \frac{a'(x)}{b'(x)}

by replacing, and applying repeatedly you obtain:

\lim_{x \to 0} \frac{3sinx-3x}{7x^3}= \lim_{x \to 0}\frac{3cosx-3}{21x^2}= \lim_{x \to 0}\frac{-3sinx}{42x}= \lim_{x \to 0}\frac{-3cosx}{42}\\\\ \lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{-3cos0}{42}=-\frac{1}{14}

hence, the limit of the function is -1/14

8 0
4 years ago
Jasper and Muthu cycled from Town P to Town Q. Jasper cycled at a speed of 36 km/h
Luda [366]

Answer:

a,khoảng cách từ thị trấn P đến thị trấn Q là

Step-by-step explanat  io  n:

36*5=180(km)

b,Muthu đi xe đạp từ thị trấn P đến thị trấn Q hết số phút là:

180/40=4,5(h)=270(phút)

3 0
3 years ago
LMN is a right a right angle triangle angle NLM is 90 degrees PQ is parallel to LM. Area of triangle PNQ is 8cm and area of tria
Fiesta28 [93]

Answer: 48cm^2

Step-by-step explanation:

LMN is a right a right angle triangle angle NLM is 90 degrees PQ is parallel to LM. Area of triangle PNQ is 8cm and area of triangle LPQ is 16 cm work out area of LQM

Kindly see attached picture for detailed explanation

6 0
3 years ago
Calculate the fraction of this recurring decimal. ​
Agata [3.3K]
<h3>Answer:  76/4995</h3>

========================================================

Explanation:

x = 0.0152152...

10x = 0.152152...

10000x = 152.152...

Subtract the last two equations to find that

  • 10000x-10x becomes 9990x on the left side
  • 152.152... - 0.152152... becomes 152 on the right side

We're left with the equation 9990x = 152 which solves to x = 152/9990

Divide both parts of that fraction by 2 so that the fraction fully reduces to 76/4995 which is the final answer

You can use your calculator to see that 76/4995 = 0.0152152152152... which confirms the answer.

8 0
3 years ago
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