All categories

3 years ago

What is the circle's circumference? The diameter of a circle is 6 millimetres.

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

C = 6pi or approximately 18.84 mm

Step-by-step explanation:

The circumference of a circle is

C = pi *d

C = pi *6

We can approximate pi by 3.14

C = 3.14*6

C =18.84

You might be interested in

At a real estate agency, an agent sold a house for $311,000. The commission rate is 4.6% for the real

deff fn [24]

9514 1404 393

Answer:

agency: $14,306
agent: $3,576.50

Step-by-step explanation:

The agency's commission was ...

0.046 × $311,000 = $14,306

The agent's commission was ...

0.25 × $14,306 = $3,576.50

The agency made $14,306; the agent earned $3,576.50.

4 0

2 years ago

Prove: If a^2-a is even then a is even.

Alla [95]

This is not always true. Consider $a=3$ . Then $3^2-3=9-3=6$ is even, but $a$ is odd.

6 0

3 years ago

Solve equation, check for extraneous solutions

fiasKO [112]

Start with

$1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}$

We observe that both fractions are not defined if $n=0$ . So, we will assume $n \neq 0$ .

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

$1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}$

We multiply both sides by $3n^2$ :

$n^2-4n-2=3n^2$

We move everything to one side and solve the quadratic equation:

$2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1$

We check the solution:

$1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0$

which is true

8 0

3 years ago

Which pairs of angles are alternate interior angles? Select all that apply.

andrezito [222]

<h3>Answers: Choice A and Choice C</h3>

Explanation:

Think of the vertical lines as train tracks (the metal rails).

Stuff between the rails are interior angles.

Angles 3 and 6 are one pair of alternate interior angles because they are on alternating sides of the transversal line. The other pair of alternate interior angles are angles 4 and 5.

Alternate interior angles are congruent when we have parallel lines like this.

7 0

2 years ago

What postulate or theorem can be used to prove that ΔEFG ≅ ΔJHG?

OlgaM077 [116]

The answer Is C: SAS Congruence Postulate.

6 0

3 years ago