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Aneli [31]
3 years ago
10

A circular garden has a diameter of 18 meters. What is the circumference of the garden?

Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0

3.14 * 18= 56.52

Answer: 56.52

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Factorise (x+3)²-25<br>help meeeeee​
bearhunter [10]
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4 0
3 years ago
Read 2 more answers
Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions
Bingel [31]

These are three equations and three answers.


Answers:

  • A) infinite solutions, identity
  • B) one solution, x = 27, neither contradiction nor identiy
  • C) x = no solutions, contradiction

Explanation:


Equation A: 20 - 4x = 12 - x + 8 - 3x

The objective is clearing the unknown, which is to isolate it in one side of the equation.

These are the steps and properties that you need to use:


1.  Combine like terms on right side:

20 - 4x  = 20 - 4x


2. Use addition property of equality (add 4x on each side).

20 = 20 ↔ identity


Conclusion: you have gotten a condition that is always true, no matter the value of x, which means that the equation has infinite solutions and it is an identity.


Equation B: 5x + 4x - 3  =  24 + 8x (note that I placed the equal sign as it was missing)


1.  Combine like terms on each side:

9x - 3 = 24 + 8x


2. Subtraction property and addition propertiy of equality (subtract 8x and add + 3 on both sides)

x = 27 ↔ solution (neither contradiction nor identity)


Conclusion: the solution is x = 27.


Equation C: 5x + 6 = 2x + 6 + 3x - 15 (note that I placed the equal signs as it was missing)


1. Comitne like terms on the right side:

5x + 6 = 5x - 9


2. Subtraction property of equality (subtract 5x from each side)


6 = - 9 ↔ contradiction


Conclusion: the equation does not have a solution since the final equality is always false (a condradiction or absurd).


For your information, when the variable (x) dissapears and fhe final equality is always true (for example 0 = 0, or 20 = 20), the equation is an identity.

6 0
3 years ago
Read 2 more answers
25% of all who enters a race do not complete. 30 haveentered.
nikklg [1K]

Answer:

The probability that exactly 5 are unable to complete the  race is 0.1047

Step-by-step explanation:

We are given that 25% of all who enters a race do not complete.

30 have entered.

what is the probability that exactly 5 are unable to complete the  race?

So, We will use binomial

Formula : P(X=r) =^nC_r p^r q^{n-r}

p is the probability of success i.e. 25% = 0.25

q is the probability of failure =  1- p  = 1-0.25 = 0.75

We are supposed to find the probability that exactly 5 are unable to complete the  race

n = 30

r = 5

P(X=5) =^{30}C_5 (0.25)^5 (0.75)^{30-5}

P(X=5) =\frac{30!}{5!(30-5)!} \times(0.25)^5 (0.75)^{30-5}

P(X=5) =0.1047

Hence the probability that exactly 5 are unable to complete the  race is 0.1047

6 0
3 years ago
Can y’all help me on Thai one thank you
vichka [17]

Karmin will make $18.4 for working an hour after the increase.

Step-by-step explanation:

Step 1:

First, we need to determine how much Karmin made an hour.

Karmin's hourly rate = \frac{480}{30} = 16.

So Karmen made $16 every hour that she worked. She worked for 30 hours and earned $480.

She will get a 15% increase in her hourly rate this month.

Step 2:

We need to determine how much 15% of $16 is.

15% of $16 = \frac{15}{100} (16) = 0.15 (16)= 2.4.

So her 15% increase amounts to $2.4.

So the hourly rate for this month 16 + 2.4 = 18.4.

So Karmin will make $18.4 for working 1 hour.

5 0
3 years ago
Light shines through window what is the area of a trapezoid shaped region created by the light
bogdanovich [222]

Answer:

16 ft²

Step-by-step explanation:

The complete question is attached.

A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.

The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.

Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:

The area of a trapezoid = [(3 + 5)/2] * 4

The area of a trapezoid = 16 ft²

5 0
3 years ago
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