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iren [92.7K]
3 years ago
10

Using the illustration below, calculate the area of the circle.

Mathematics
1 answer:
malfutka [58]3 years ago
3 0

Answer:

d^2 = 12^2 + 5^2 = 169

d = 13

r = d/2 = 6.5

A = pi·6.5^2 = 132.73 cm²

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Solve the inequality <br> 10&lt;3x+19
Kamila [148]

Answer:

The answer is ->

x>-3

8 0
3 years ago
A population of voters contains 40% republicans and 60% democrats. it is reported that30% of the republicans and 70% of the demo
Blizzard [7]

To get the probability of selecting a person who is a democrat and is favour to the issue, let us first calculate for the portions in each party who is favour on the issue.

 

p (rep & favour) = 0.4 * 0.3 = 0.12

 

p (dem & favour) = 0.6 * 0.7 = 0.42

 

Therefore the total portions who are favour is:

p (favour) = 0.12 + 0.42 = 0.54

 

Hence the probability is:

P (dem & favour) = 0.42 / 0.54 = 0.7778 = 0.78

 

Therefore there is about 78% probability that the person selected who is favour to the issue is a democrat.

5 0
3 years ago
If light travels at 3. 108 m/s and its frequency is 6. 1015 Hz, then its wavelength is:
Sergio039 [100]

Answer:

5 * 10^{-8} m

Step-by-step explanation:

The speed of light is 3 * 10^8 m/s and its frequency is 6 * 10^{15} Hz.

The speed of light is given as:

c = λ * f

where λ = wavelength of light

f = frequency of light

Therefore, the wavelength is given as:

λ = c / f

=> λ = \frac{3 * 10^8}{6 * 10^{15}}

=> λ = 5 * 10^{-8} m

The wavelength of the light is 5 * 10^{-8} m

7 0
2 years ago
Tyler’s brother earned $900 worth of sales. He gets 2.5% of the sales. How much was his commission he gets?
Mashutka [201]

Before Tax Price: $900.00

Sale Tax: 2.50% or $22.50

After Tax Price: $922.50

hope this helps

8 0
3 years ago
Solve the exponential equation:<br> B.) 5e^x-7.1=22
brilliants [131]
5e^x=7.1+22
e^x=29.1/5
ln(e^x)=ln(29.1/5)
x=ln(29.1/5)
Use a graphing calculator
8 0
3 years ago
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