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Oliga [24]
3 years ago
6

What is the circumference of a circle having a radius of 6cm?

Mathematics
2 answers:
LekaFEV [45]3 years ago
7 0

Answer:

37.68 cm

Step-by-step explanation:

the circumference of a circle  is :   P = 2π r

P= 2×3.14×6 =37.68 cm

malfutka [58]3 years ago
3 0

Answer:

12cm.

Step-by-step explanation:

The radius is half of a circe.

6 * 2 = 12.

You might be interested in
Which exponential expression is equal to 2−5·28
gizmo_the_mogwai [7]

Answer:

Impossible

Step-by-step explanation:

Solve the answer 2-5*28 = -138

This would have no answer since an exponential expression can't equal an negative unless it's a negative answer, but in this case, there is no answer that would get you -138.

3 0
3 years ago
What are the amplitude, period, and phase shift of the given function? f(t)=-2/3 cos (3t-3pi)
dybincka [34]

Answer:

amplitude; \frac{2}{3}

Phase shift; \pi units right

Period;\frac{2\pi}{3}

Step-by-step explanation:

The given function is

y=-\frac{2}{3}\cos(3t-3\pi)

This function is of the form;

y=A\sin (Bt+C)

The period is given by:

|A|=|-\frac{2}{3}|= \frac{2}{3}

The period is given by:

T=\frac{2\pi}{|B|}= \frac{2\pi}{|3|}=\frac{2\pi}{3}

The phase shift is given by;

\frac{C}{B}=\frac{-\3pi}{3}=- \pi or \pi units right.

4 0
3 years ago
The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 21 s
Artemon [7]
U=-2b+30

u+b=21 
<span>in slope intercept form this is </span>
<span>u=-b+21 </span>

<span>The same thing for wheels is </span>
<span>2b+u=30 </span>
<span>or </span>
<span>u=-2b+30</span>
6 0
3 years ago
Yuet solved the equation 6 a minus 2 b = 12 for a. Her steps are shown below. 1. Subtract 2b: 6 a = 12 minus 12 b 2. Divide by 6
Ber [7]

Question:

Yuet solved the equation 6a - 2b = 12 for a.

Her steps are shown below.

1. Subtract 2b: 6a = 12 - 2b

2. Divide by 6: a = 2 - \frac{b}{3}

Answer:

In step 1 she needed to add 2b to both sides of the equation.

Step-by-step explanation:

Given:

The above steps shows how Yuet solved an equation

Required:

True statement about Yuet's work

The implication of the statement is to state what Yuet should have done instead of what she did.

In step 1, she subtracted 2b from both sides of the equation; this is wrong.

Instead of subtracting, she ought to add 2b to both sides of the equation.

The correct steps and result is as follows:

1. Add 2b: 6a = 12 + 2b

2. Divide by 6: a = 2 + \frac{b}{3}

Hence, we can conclude that in step 1 she needed to add 2b to both sides of the equation.

4 0
3 years ago
Read 2 more answers
A geometric sequence is defined by the equation an = (3)3 − n.
Delvig [45]
PART A

The geometric sequence is defined by the equation

a_{n}=3^{3-n}

To find the first three terms, we put n=1,2,3

When n=1,

a_{1}=3^{3-1}

a_{1}=3^{2}

a_{1}=9
When n=2,

a_{2}=3^{3-2}
a_{2}=3^{1}

a_{2}=3

When n=3

a_{3}=3^{3-3}

a_{3}=3^{0}
a_{1}=1
The first three terms are,

9,3,1

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
r= \frac{a_{2}}{a_{1}}
r = \frac{3}{9}

r = \frac{1}{3}

PART C

To find
a_{11}

We substitute n=11 into the equation of the geometric sequence.

a_{11} = {3}^{3 - 11}

This implies that,

a_{11} = {3}^{ - 8}

a_{11} = \frac{1}{ {3}^{8} }

a_{11}=\frac{1}{6561}
4 0
3 years ago
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