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rodikova [14]
2 years ago
5

San Antonio, Texas, is located about 30º north of the equator. If the radius of the Earth is about 3959 miles, how far to the ne

arest mile is San Antonio from the equator?
Mathematics
1 answer:
Molodets [167]2 years ago
5 0
Answer: 2,073

Explanation:


1) Circumference of the Earth:

Circumference = 2π x radius

⇒ Circumference = 2π × 3959 miles = 24,875.13 miles

2) Distance between San Antonio and the Equator.

Note that that distance corresponds to the arc length of a sector of 30°.

That let's you to set the proportion:

\frac{24875.13}{360} = \frac{x}{30}

From which you can clear the unknown:

x = 30 × 24,875.13 / 360 = 2,072.93

Which rounded to the neares mile is 2,073

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Answer:

SOH-CAH-TOA

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Step-by-step explanation:

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3 years ago
An arcade booth at a county fair has a person pick a coin from two possible coins available and then toss it. If the coin chosen
nydimaria [60]

Answer:

<em>b. 0.6024</em>

Step-by-step explanation:

<u>Conditional Probability</u>

Suppose two events A and B are not independent, i.e. they can occur simultaneously. It means there is a space where the intersection of A and B is not empty:

P(A\cap B) \neq 0

If we already know event B has occurred, we can compute the probability that event A has also occurred with the conditional probability formula

\displaystyle P(A|B)=\frac{P(A\cap B)}{P(B)}

Now analyze the situation presented in the question. Let's call F to the fair coin with 50%-50% probability to get heads-tails, and U to the unfair coin with 32%-68% to get heads-tails respectively.

Since the probability to pick either coin is one half each, we have

P(U)=P(F)=50\%=0.5

If we had picked the fair coin, the probability of getting heads is 0.5 also, so

P(F\cap H)=0.5\cdot 0.5=0.25

If we had picked the unfair coin, the probability of getting heads is 0.32, so

P(U\cap H)=0.32\cdot 0.5=0.16

Being A the event of choosing the fair coin, and B the event of getting heads, then

P(B)=P(F\cap H)+P(U\cap H)=0.25+0.16=0.41

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\displaystyle P(A|B)=\frac{0.25}{0.41}=0.61

The closest answer is

b. 0.6024

7 0
3 years ago
The Jones family and the Smith family both went out for a night at the movies. The Jones family bought 5 drinks and 2 bags of po
kolbaska11 [484]
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For Smith Family, subtract 31.50-4=27.50. Then you divide 27.50 by 6 bags of popcorn which equals $4.58 


4 0
3 years ago
If a cube with the length of the side of 4 cm is cut into smaller cubes with the length of the side of 1 cm, then what is the pe
ValentinkaMS [17]

Answer:

300 %

Step-by-step explanation:

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So volume V=side^3=4^3=64cm^3

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So percentage increase in surface area =\frac{384-96}{96}\times 100=300 %

6 0
3 years ago
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