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shusha [124]
2 years ago
14

What is the radius of a circle with an area of 212 in squared. please please simplify for me....​

Mathematics
1 answer:
Nikitich [7]2 years ago
5 0

Answer:

8.22in

Step-by-step explanation:

Area of circle = πr²

r is the radius

Given

Area = 212in²

Substitute

212 = πr²

r² = 212/3.14

r² = 67.52

r = √67.52

r = 8.22in

hence the radius of the circle is 8.22in

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where p0 is the atmospheric pressure at sea level and k is a constant. If the atmospheric pressure is 14.7 lb/in.2 at sea level
balu736 [363]

Answer:

The value of pressure at an altitude of 10000 ft = 10 \frac{lb}{in^{2} }

Step-by-step explanation:

Given data

Atmospheric pressure P_{0} = 14.7 \frac{lb}{in^{2} }

Pressure at 4000 ft = 12.6 \frac{lb}{in^{2} }

If temperature is constant then the atmospheric pressure is varies with the altitude according to law

P (h) = P_{0} e^{- kh} ------ (1)

where k= constant & h = height

12.6 = 14.7 e^{- 4000k}

0.857 = e^{- 4000k}

㏑ 0.857 = - 4000 k

-0.154 = - 4000 k

k = 3.85 × 10^{-5}

Thus the atmospheric pressure at an altitude of 10,000 ft is

P_{10000} = 14.7 × e^{- kh} ----- (2)

Product of k & h is

k h = 3.85 × 10^{-5} × 10000

k h = 0.385

Put his value of k h = 0.385  in equation (2) we get

P_{10000} = 14.7 × e^{-0.385 }

P_{10000} = 10 \frac{lb}{in^{2} }

This is the value of pressure at an altitude of 10000 ft.

7 0
3 years ago
Alex bought a T-shirt for $24.25. This week the T-shirt costs $5.95 less. Write and evaluate an addition expression to find this
Nostrana [21]

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 24.25 + (-5.95)

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

5 0
3 years ago
Probability.
swat32

Answer: 0.0386

Step-by-step explanation:

Given: The probability hat the frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked : p= 0.30

Sample size : n = 12

Let x = Number of contaminated chickens

Here , two outcomes for any chicken (either contaminated or not) , so it follows binomial distribution.

Binomial probability formula:

P(X=x)  = \ ^nC_x p^x(1-p)^{n-x}

The probability that the consumer will have more than 6 contaminated chickens :-

P(X>6)=P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\\\=^{12}C_6(0.3)^6(0.7)^6+^{12}C_7(0.3)^7(0.7)^5+^{12}C_8(0.3)^8(0.7)^4+^{12}C_9(0.3)^9(0.7)^3+^{12}C_{10}(0.3)^{10}(0.7)^2+^{12}C_{11}(0.3)^{11}(0.7)^1+^{12}C_0(0.3)^{12}(0.7)^0

=0.03860084306\approx0.0386<em>  (simplified)</em>

<em />

Hence, the required probability = 0.0386

5 0
3 years ago
Simplify the product 7x (x + 4)
lora16 [44]

7x+4 is the correct awnser(i think)

3 0
3 years ago
Read 2 more answers
Can you please Solve for x?
GaryK [48]

tan( 31 ) = x / 39

0.600860619 = x / 39

x = 0.600860619 × 39

x = 23.433564141

______________________________

Round to the nearest tenth :

x = 23.4

Round to the nearest hundredth :

x = 23.43

3 0
2 years ago
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