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Ket [755]
3 years ago
14

A=4

"latex-formula">. solve for R
Mathematics
1 answer:
Afina-wow [57]3 years ago
3 0
\bf \textit{area of a sphere}\\\\
A=4\pi r^2\qquad \qquad \cfrac{A}{4\pi }=r^2\implies \sqrt{\cfrac{A}{4\pi }}=r
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A group of 100 students took a quiz. Their average score was 76 points. If the average score for the boys was 80 points and the
sveta [45]

Answer:

The number of girls participated in quiz is 40 .

Step-by-step explanation:

Given as :

Total number of students took quiz = 100

Average score of 100 students = 76 points

The Average score of boys = 80 points

The Average score of girls = 70 points

Let The number of boys participated in quiz = b

Let The number of girls participate in quiz = g

Now, According to question'

Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz

Or, b + g = 100           ........A

<u>Again</u>

∵ Average score of 100 students = 76 points

∴ Total score of 100 students = 76 × 100 = 7600

So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students

Or, b × 80 + g × 70 = 7600

Or, 80 b + 70 g = 7600             .........B

Now, Solving equation A and B

(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100

I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000

Or, 10 b + 0 = 600

∴  b = \dfrac{600}{10}

i.e b = 60

So, The number of boys participated in quiz = b = 60

Put the value of b into eq A

∵ b + g = 100

So, g = 100 - b

Or, g = 100 - 60

i.e g = 40

So, The number of girls participated in quiz = g = 40

Hence, The number of girls participated in quiz is 40 . Answer

6 0
3 years ago
Can anyone help please
Murrr4er [49]

Answer:

i dont know im sorry

Step-by-step explanation:

3 0
3 years ago
a 10-foot section of a certain rope weighs 8 ounces. What is the length, in feet, of a section that weights 3 pounds? can you pl
Ostrovityanka [42]
Create and solve an equation of ratios:

10 ft       8 oz
-------  =  -------
   x        48 oz                 (note that 3 lb = 48 oz)

Then 480 = 8x, and x = 60 ft   (answer)
6 0
4 years ago
15% 40% as whole numbers
Alex17521 [72]

Answer: Not possible

Step-by-step explanation: A whole number is an integer or a number without fractions. Both 15% and 40% are less than 1 since they are less than 100%; therefore, it is impossible to express them as whole numbers. They can only be expressed as the mixed numbers of 0.15 and 0.4, or 15/100 and 40/100.

3 0
3 years ago
Read 2 more answers
Use the diagram to find the measure of arc. AB and CD and the diameters of the circle F
dybincka [34]

Answer:

11). m(\widehat{DE}) = 90°

12). m(\widehat{AEC}) = 212°  

Step-by-step explanation:

A circle F with AB and CD are the diameters has been given in the figure attached.

11). Since, m(\widehat{AB}) = 180°

    and m(\widehat{AB})=m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})

    Therefore, m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE}) = 180°

    32° + m(\widehat{DE}) + 58° = 180°

    m(\widehat{DE}) = 180° - 90°

                = 90°

12. Since, m(\widehat{AD})=m(\widehat{BC}) = 32°

                 m(\widehat{AEC}) = m(\widehat{AB})+m(\widehat{BC})

                                = 180° + 32°

                                = 212°

7 0
3 years ago
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