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faltersainse [42]
3 years ago
10

Find the area of a circle with radius, r = 6.48m. Give your answer rounded to 2 DP.

Mathematics
1 answer:
Artyom0805 [142]3 years ago
4 0

Answer:

Area = 131.9167322

Step-by-step explanation:

I'm not sure what 2 DP means so you will need to do that part.

area=pi*radius^2

area=3.14*42 (approx)

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Simplify expression X^2+x-2/x^3-x^2+2x-2
professor190 [17]

Answer:


=\frac {x+2}{x^2+2} is the simplest form of given expression.


Step-by-step explanation:

The given question is \frac{x^2+x-2}{x^3-x^2+2x-2}


To solve the problem we have to group or split middle term and then factorise


\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}


Taking x^2 common from first two terms of denominator and 2 from next two terms


= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}


Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms


= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}



=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}


Now cancel out x-1 from both numerator and denominator we get


=\frac {x+2}{x^2+2} is the required simplest form.



7 0
3 years ago
Each year for 3 years, the time it takes you to run a mile decreases by 10 seconds. Find the total change time
hichkok12 [17]

Answer: 109.5

Step-by-step explanation: EACH year for three years would be 1095 if you  multiply 365 (each year) by 3 (the amount of years) and then divide that by 10. Im not entirely sure but I hope I helped

7 0
3 years ago
How many passwords of 5 characters (numbers or letters) can be created if repeats are allowed
alex41 [277]

Answer:

at least 290,000

Step-by-step explanation:

Why is this a question

4 0
3 years ago
2v^2-12 =-12v <br> Would really appreciate it loves❤️
Black_prince [1.1K]

For this case we have the following equation:

2v ^ 2-12 = -12v

Rewriting we have:

2v ^ 2 + 12v-12 = 0

Dividing by 2 to both sides of the equation:

v ^ 2 + 6v-6 = 0

We apply the quadratic formula:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

We have to:

a = 1\\b = 6\\c = -6

Substituting:

x = \frac {-6 \pm \sqrt {6 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-6 \pm \sqrt {36 + 24}} {2}\\x = \frac {-6 \pm \sqrt {60}} {2}\\x = \frac {-6 \pm \sqrt {4 * 15}} {2}\\x = \frac {-6 \pm2 \sqrt {15}} {2}

Thus, we have two roots:

x_ {1} = - 3+ \sqrt {15}\\x_ {2} = - 3- \sqrt {15}

ANswer:

x_ {1} = - 3+ \sqrt {15}\\x_ {2} = - 3- \sqrt {15}

7 0
3 years ago
Community Gym charges a $50 membership fee and a $60 monthly fee. Workout Gym charges a $180 membership fee and a $50 monthly fe
Vladimir79 [104]

Answer:

After 13 months the amount paid to both will be $830.

Step-by-step explanation:

60x13+50=830

50x13+180=830

4 0
2 years ago
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