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3 years ago

The circumference of a circle is 60π cm. What is the radius of the circle

Mathematics

1 answer:

Sindrei [870]3 years ago

8 0

Answer:

15 cm

Step-by-step explanation:

Circumference of circle= 2πr, where r us the radius of the circle.

Given that the circumference of circle is 60πcm,

60π= 2πr

Divide by 2 on both sides,

15π= πr

Divide by π on both sides,

15= r

Thus, radius of circle= 15cm.

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Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = -2x 4 6x 3y =

wariber [46]

The missing value is 12 in a system of equations with infinitely many solutions conditions.

It is given that in the system of equations there are two equations given:

$\rm y =n -2x+4\\\rm and \\\rm 6x+3y= ?$

It is required to find the missing value in the second equation.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

We have equations:

$\rm y = -2x+4 ....(1)\\ \\\rm 6x+3y= ? ....(2)$

Let's suppose the missing value is 'Z'

We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.

From equation (1)

$\rm y = -2x+4 \\\\\rm 2x+y=4$ (multiply both the sides by 3)

$\rm 6x+3y=12$ ...(3)

By comparing the equation (2) and (3), we get

M = 12

Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.

Learn more about the linear equation.

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8 0

1 year ago

Math brainiest NEEDED. its the bottom half and please explain your answer

Mice21 [21]

1) The expressions are not equivalent. When you expand and multiply 2(x + 3) it becomes 2x + 6. This is not equal to 3x + 5

2) They are equivalent. Again, expand and multiply the second expression. 2(3n + 4) becomes 6n + 8. This makes both sides equal.

3) They are equivalent. In the parentheses, you are adding 3 y's and a 2. This gives you 3y + 2. Now add the additional 3y that follows the closed parentheses. You'll have 6y + 2. Now both sides are equivalent.

4 0

2 years ago

Someone help please?

vodka [1.7K]

Answer:

-9 and -4

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Learning Task 1: Identify similar and dissimilar fractions. On your note- book write S if the fractions are similar and D if dis

Ronch [10]

<h2>Complete Question: </h2>

Learning Task 1: Identify similar and dissimilar fractions. On your note- book write S if the fractions are similar and D if dissimilar.

1. $\frac{2}{3} $ and $ \frac{1}{3}$

2. $\frac{3}{4} $ and $ \frac{1}4}$

3. $\frac{4}{7} $ and $ \frac{7}{8}$

4. $\frac{2}{5} $ and $ \frac{5}{11}$

5. $\frac{7}{13} $ and $ \frac{7}{9}$

<h2>The answers:</h2>

1. $\frac{2}{3} $ and $ \frac{1}{3}$ - Similar (S)

2. $\frac{3}{4} $ and $ \frac{1}4}$ - Similar (S)

3. $\frac{4}{7} $ and $ \frac{7}{8}$ - Dissimilar (D)

4. $\frac{2}{5} $ and $ \frac{5}{11}$ - Dissimilar (D)

5. $\frac{7}{13} $ and $ \frac{7}{9}$ - Dissimilar (D)

Note:

Similar fractions have the same denominator. i.e. the bottom value of both fractions are the same.
Dissimilar fractions have different value as denominator, i.e. the bottom value of both fractions are not the same.

Thus:

1. $\frac{2}{3} $ and $ \frac{1}{3}$ - They have equal denominator. Both fractions are similar (S).

2. $\frac{3}{4} $ and $ \frac{1}4}$ - They have equal denominator. Both fractions are similar (S).

3. $\frac{4}{7} $ and $ \frac{7}{8}$ - They have equal denominator. Both fractions are dissimilar (D).

4. $\frac{2}{5} $ and $ \frac{5}{11}$ - They have equal denominator. Both fractions are dissimilar (D).

5. $\frac{7}{13} $ and $ \frac{7}{9}$ - They have equal denominator. Both fractions are dissimilar (D).

Therefore, the fractions in 1 and 2 are similar (S) while those in 3, 4, and 5 are dissimilar (D).

Learn more here:

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7 0

2 years ago

What is the sign of 3x y3xy3, x, y when x>0x>0x, is greater than, 0 and y<0y<0y, is less than, 0?

kaheart [24]

Answer:

B ) Negative

Step-by-step explanation:

Given the expression 3xy

when x>0 and y<0

The value of the expression 3xy will be negative.

This is because the product of a positive and negative number will always be negative.

For illustration,

Let x=5>0 and y=-5<0

3xy=3(5)(-5)=-75

NOTE:

$-X-=+\\-X+=-\\+X+=+$

5 0

3 years ago