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ohaa [14]
3 years ago
12

a windscreen wiper of a vehicle of length 30 cm clears out an angle of 180 degrees what is the area of the screen cleared take p

ie=22/7​
Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0

Answer:

Therefore the area of the screen cleared is 1414.28 cm².

Step-by-step explanation:

Given:

a windscreen wiper of a vehicle of length 30 cm

Consider this length as Radius of Semicircle, r = 30 cm

clears out an angle of 180 degrees implies Semicircle Shape

pie=22/7

To Find:

Area of the screen cleared ​

= ?

Solution:

We have

\textrm{Area of Semicircle}=\frac{1}{2}\pi(radius)^{2}

Substituting r and pie we get

\textrm{Area of Semicircle}=\frac{1}{2}\times \frac{22}{7}(30)^{2}=1414.28\ cm^{2}

Therefore the area of the screen cleared is 1414.28 cm².

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Firdavs [7]

Step-by-step explanation:

This is a probability related problem.

  Probability is the likelihood of an event to occur;

    Pr = \frac{number of possible outcomes}{Total sample space}

The sample space here is from 1 to 25 which is 25

A.

Pr of a card marked 8; we have just 1 possible outcome;

       Pr(8)  = \frac{1}{25}

B.

Pr  of drawing a card that is a multiple of 5;

    Multiples of 5 = 5, 10, 15 and 25

     Pr (multiples of 5) = \frac{4}{25}

C.

Pr of drawing a card with odd numbers:

          Number of odd numbers between 1 and 25  = 13

     Pr(odd numbers) = \frac{13}{25}

D.

Pr of drawing a number with square number on it;

        Square numbers between 1 and 25  = 1, 4, 9, 16 and 25

  Pr(square numbers) = \frac{5}{25}   = \frac{1}{5}

3 0
2 years ago
The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find
Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, h=0,  k=35, x=8, y=21

We know that, the general equation of the parabola.

   y-k = a(x-h)^2

\Rightarrow y=a(x-h)^2+k  .........(i)

Substitute the  value of h, k, x, y in equation (i) and find the value of a.

  21=a(8-0)^2+35

\Rightarrow 21=a\times 8^2+35

\Rightarrow 21=64a+35

\Rightarrow 64a=21-35

\Rightarrow 64a=-14

\Rightarrow a=\frac{-14}{65}

\Rightarrow a=-0.215

Hence, the equation of the parabola is:

y=-0.215x^2+35

8 0
3 years ago
I need you to explain your answer, please.
Alex787 [66]

Answer:

7√6 - 5√7  

Step-by-step explanation:

5√7 + 12√6 - 10√7 - 5√6    (rearranging)

= (5√7 - 10√7) + (12√6  - 5√6)   (factor out √6 and √7 respectively)

= (5 - 10) √7  + (12  - 5)√6

=  -5√7  + 7√6  (rearrange)

=  7√6 - 5√7  

4 0
3 years ago
Which of the following is the most appropriate unit to describe the rate at which people are entering a theme park?
ad-work [718]

The <u><em>correct answer</em></u> is:

d) People per hour, because the dependent quantity is the people

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In this situation, the two quantities are people and hours. These are the two things in this problem we can count or measure.

The independent variable is the one that causes a change, while the dependent variable is the one that <em>gets</em> changed. In this situation, the number of people change every hour; this means the number of people <em>gets</em> changed, which makes it the dependent variable. This means that the independent variable must be time.

Since people is dependent and time is independent, "people per hour" would be the best form of this statement.

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lora16 [44]
I just had this question on a test and the answer is 95.05
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