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Stels [109]
3 years ago
12

The moon forms a right triangle with the Earth and the sun during one of its phases, as shown below. A scientist measures the an

gle x and the distance y between the Earth and the sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the sun.
Mathematics
1 answer:
Paha777 [63]3 years ago
8 0
Using the Law of Sines  (sina/A=sinb/B=sinc/C for any triangle)

sinx/y=sin90/d and since sin90=1 we can say that that distance from moon to sun is:

d=y/sinx
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Seth traveled 1 mile in 57.1 seconds. About how fast does Seth travel I. Miles per hour?
enyata [817]
57.1 seconds = 57.1 seconds * \frac{1minute}{60seconds}  * \frac{1hour}{60minutes} = 0.01057 hour
1 mile / 57.1 seconds = 1 mile / 0.01057 hour = 94.57 miles/hour

4 0
3 years ago
In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval
Vikki [24]

Answer: 0.49 ± 0.0237

Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:

p_{hat} ± z.\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }

p_{hat} is the proportion:

p_{hat} = \frac{1455}{2957}

p_{hat} = 0.49

For a 99% confidence interval, z = 2.576:

0.49 ± 2.576.\sqrt{\frac{0.49(1-0.49)}{2957} }

0.49 ± 2.576.\sqrt{\frac{0.49*0.51}{2957} }

0.49 ± 2.576.(0.0092)

0.49 ± 0.0237

For a <u>99% confidence interval</u>, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237

7 0
3 years ago
Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer than he play
ioda

Answer:

Part A:

x+y= 95

x = y+25

Part B : 35 minutes

Part C : No

Step-by-step explanation:

  • Part A :

Eric plays basketball and volleyball for a total of 95 minutes every day

x+y= 95

Where:

x =the number of minutes Eric plays basketball

y= the number of minutes he plays volleyball  

He plays basketball for 25 minutes longer than he plays volleyball.

x = y+25

System:

x+y= 95

x = y+25

  • Part B:

Replacing x=y+25 on the first equation:

(y+25) + y =95

Solving for Y

y+25+y =95

25+2y=95

2y=95-25

2y=70

y = 70/2

y = 35 minutes

Part C : No

if x = 35

x+y= 95

35+y =95

y= 95-35

y = 60 minutes

Replacing y=60 on the other equation:

x = y+25

35 = 60+25

35 ≠85

5 0
3 years ago
Daniel's store sold 75% fewer pairs of shorts this month than last month. If the store sold 5 pairs of shorts this month, then _
Setler79 [48]

Answer:

EXACT ANSWER: 6.666666666667

ANSWER ROUNDED: 7

Step-by-step explanation:

lol, I can't explain well, but it's correct.

7 0
2 years ago
Please help I need for graph
Gala2k [10]
For a you will see a bar graph and the dependent o think would be bird species
3 0
2 years ago
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