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Nana76 [90]
2 years ago
6

An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. As

tronomers also use light years to measure distance. A light year is approximately 9.5×10^12
km.

Use scientific notation to rewrite the measure of one astronomical unit (1 AU) in kilometers
Mathematics
1 answer:
Dimas [21]2 years ago
5 0

Using scientific notation, it is found that the measure of one astronomical unit in kilometers is 1.5 \times 10^8

A number in <em>scientific notation</em> is given by:

a \times 10^b

  • In which a \in [1, 10)
  • To realize the conversion from decimal to scientific notation, b is the number of decimal places the comma moves, being positive if to the left, negative if to the right.  

In this problem, 1 AU = 150,000,000 km.

  • The comma has to move 8 places to the right, hence b = 8

Then, the measure is: 1.5 \times 10^8

For more on scientific notation, you can check brainly.com/question/16394306

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I’m completely lost can anybody help solve this
Marizza181 [45]

Answer:

\huge\boxed{x=54^o}

Step-by-step explanation:

<em>Look at the picture.</em>

<em />

We have:

l=108^o

Therefore

2\alpha=108^o           <em>divide both sides by 2</em>

\dfrac{2\alpha}{2}=\dfrac{108^o}{2}\\\\\alpha=54^o

7 0
3 years ago
Can someone please help i dont understand
Sloan [31]

Answer:

x = 12

Step-by-step explanation:

Angle 1 = 8x - 17

Angle 2 = 5x + 19

These are congruent which means they are the same so the equation is:

8x - 17 = 5x + 19

3x - 17 = 19

3x = 36

x = 12

7 0
3 years ago
Read 2 more answers
Seven less than one-fourth of a number is 2. What is the number?
insens350 [35]

Based on the equation given, it can be deduced that the value of the number will be 36.

Let the number be represented by x

Therefore, seven less than one-fourth of a number will be:

=(1/4 × x) - 7

= 0.25x - 7

Now, seven less than one-fourth of a number is 2 will be written as:

0.25x - 7 = 2

0.25x = 2 + 7

0.25x = 9

x = 9/0.25

x = 36

Learn more about equation on:

brainly.com/question/13802812

6 0
2 years ago
What is the measure of ACE in the diagram below?<br><br> A. 46<br> B. 104<br> C. 29<br> D. 58
beks73 [17]

Answer:

C

Step-by-step explanation:

The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is

∠ ACE = \frac{1}{2} (AE - BD ) = \frac{1}{2} (104 - 46)° = \frac{1}{2} × 58° = 29° → C

3 0
3 years ago
Read 2 more answers
An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh
Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so the critical value is z = 1.645.

The sample size and the estimate are given by:

n = 600, \pi = \frac{400}{600} = 0.6667

Hence, the bounds of the interval are given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984

The 90% confidence interval is given by: (0.6350, 0.6984).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

5 0
2 years ago
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