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8_murik_8 [283]
2 years ago
9

For questions 1 – 6, find the area of the circle to the nearest hundredth. Any help appriciated!

Mathematics
1 answer:
Feliz [49]2 years ago
3 0

Step-by-step explanation:

The area of a circle is given by :

A = πr²

r is radius of the circle

(4) Diameter = 22 cm

Since, radius = diameter/2

r = 11 cm

Now, area of the circle,

A=\pi \times (11)^2\\\\A=380.13\ cm^2

(5) Diameter = 30 cm

Since, radius = diameter/2

r = 15 cm

Now, area of the circle,

A=\pi \times (15)^2\\\\A=706.85\ cm^2

(6) Diameter = 4cm

Since, radius = diameter/2

r = 2 cm

Now, area of the circle,

A=\pi \times (2)^2\\\\A=12.56\ cm^2

Hence, this is the required solution.

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Solve the simultaneous equation,<br> 2p - 3q = 4<br> 3p + 2q = 9
Kobotan [32]

Answer:

p = \frac{35}{13} and q = \frac{6}{13}

Step-by-step explanation:

Given equations:

2p - 3q = 4        -----------(i)

3p + 2q = 9       ------------(ii)

Let's solve this equation simultaneously using the <em>elimination method</em>

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4]        x 3

[3p + 2q = 9]       x 2

6p - 9q = 12            -------------(iii)

6p + 4q = 18            -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

     [6p - 9q = 12]        

<u>  -   [6p + 4q = 18]   </u>  

<u>             -13q = -6     </u>  -----------------(v)

<u />

<u>(c)</u> Next, make q subject of the formula in equation (v)

      q = \frac{6}{13}

(d)  Now substitute the value of q = \frac{6}{13} into equation (i) as follows;

     2p - 3(\frac{6}{13}) = 4

(e)  Now, solve for p in d above

<em>Multiply through by 13;</em>

26p - 18 = 52

<em>Collect like terms</em>

26p = 52 + 18

26p = 70

<em>Divide both sides by 2</em>

13p = 35

p = \frac{35}{13}

Therefore, p = \frac{35}{13} and q = \frac{6}{13}

8 0
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What is the difference of 15 - 18 =
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Answer: -3

Step-by-step explanation: 15 - 18 = -3

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For an employee training, the employee to instructor ratio is 24 to 2. If there are 26 instructors for the training, how many em
denpristay [2]

Answer:

312 employees participated in the training

Step-by-step explanation:

Given;

employee to instructor ratio is 24 to 2

there are 26 instructors for the training

let the total number of instructors be I = 26

let the total number of employees be e = ?

employee to instructor ratio is 24 to 2, e : I = 24 : 2

e : I = 24 : 2  = e : 26

\frac{24}{2} = \frac{e}{26} \\\\e = 12 *26\\\\e = 312

Therefore, the total number of employees who participated in the training is 312

8 0
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Answer:

B

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