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Natasha2012 [34]
3 years ago
14

Find the area and thhe circumference of a circle round your anser to the nearest hundredth if the diameter is 6

Mathematics
1 answer:
Lisa [10]3 years ago
5 0
----------------------------------------------------------------------------------------------
Find Radius
----------------------------------------------------------------------------------------------
Radius = Diameter ÷ 2
Radius = 6 ÷ 2 
Radius = 3 units

----------------------------------------------------------------------------------------------
Find Area
----------------------------------------------------------------------------------------------
Area = πr²
Area = π (3)²
Area = 28.27 units² (Nearest hundredth)

----------------------------------------------------------------------------------------------
Find Circumference
----------------------------------------------------------------------------------------------
Circumference = πD
Circumference = π(6)
Circumference = 18.85 units (Nearest hundredth)

----------------------------------------------------------------------------------------------
Answer: Area = 28.27 units² ; Circumference = 18.85 units
----------------------------------------------------------------------------------------------
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The side of rhombus is 14 in. The obtuse angle is 160º. Find the longer diagonal of the rhombus.
Mandarinka [93]

Answer:

x = 27.57 in to the nearest hundredth.

Step-by-step explanation:

The longer diagonal  is opposite the obtuse angle.

Also as it is a rhombus all sides = 14 in.

Use the Cosine Rule:

x^2 = 14^2 + 14^2 - 2*14^2 cos 160

x^2 =  760.36

x = sqrt 760.36

x = 27.57 in.

3 0
3 years ago
what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed
kramer

Answer:

P(x \le 21) = 0.69146

Step-by-step explanation:

The missing parameters are:

n = 64 --- population

\mu = 20 --- population mean

\sigma = 16 -- population standard deviation

Required

P(x \le 21)

First, calculate the sample standard deviation

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{16}{\sqrt {64}}

\sigma_x = \frac{16}{8}

\sigma_x = 2

Next, calculate the sample mean \bar_x

\bar x = \mu

So:

\bar x = 20

So, we have:

\sigma_x = 2

\bar x = 20

x = 21

Calculate the z score

x = \frac{x - \mu}{\sigma}

x = \frac{21 - 20}{2}

x = \frac{1}{2}

x = 0.50

So, we have:

P(x \le 21) = P(z \le 0.50)

From the z table

P(z \le 0.50) = 0.69146

So:

P(x \le 21) = 0.69146

4 0
3 years ago
Which function is equivalent to f(x) = lnx?
11Alexandr11 [23.1K]

Answer:

f(x)=log_ex

Step-by-step explanation:

By definition, we can write ln instead of log. WHEN??

Whenever the base of the logarithm is the number "e".

Hence, when we have:

Log_e

We can write it in shortcut as:

Log_e=ln

Hence, ln x can also be written as Log_ex

Fourth answer choice is right.

7 0
3 years ago
Read 2 more answers
Molly has $60 in a savings account that earns 5% simple interest annually. How much interest will she earn in 6 months?
mrs_skeptik [129]

Answer:

The interest is $1.5 and the amount is $61.5.

Step-by-step explanation:

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3 years ago
Plz help I’ll pay I promise this is timed
Wewaii [24]

Answer:

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Step-by-step explanation:

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