1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Daniel [21]
3 years ago
12

The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

The distance between the Earth and the Moon is equal to the distance between the Sun and the Moon multiplied by the sine of angle x

Step-by-step explanation:

Let

EM -----> the distance between the Earth and the Moon.

y -----> the distance between the Sun and the Moon.

we know that

In the right triangle of the figure

The sine of angle x is equal to divide the opposite side to angle x (distance between the Earth and the Moon.) by the hypotenuse ( distance between the Sun and the Moon)

so

sin(x)=EM/y

Solve for EM

EM=(y)sin(x)

therefore

The distance between the Earth and the Moon is equal to the distance between the Sun and the Moon multiplied by the sine of angle x

You might be interested in
Yolanda's club has 50 members. It's rules require that 60% of them must be present for any vote. At least how many members must
HACTEHA [7]
If you do 60% then you put the percent two times over the the left so 0.60 then you would do 0.60 times 50 so that would be 30. 30 of the members must vote. Hopefully that helped?
7 0
3 years ago
Are the quadrilaterals similar? If so, give the scale factor. If not, explain.
castortr0y [4]
These are not similar.  For them to be similar, they need to exist in proportion to each other for every single side.  The ratio of the 12:9 sides is 4:3 when reduced.  The ratio of the other 2 sides is 5:3.  They all have to have the same ratio for them to be similar.
7 0
3 years ago
3) The average age of students at XYZ University is 24 years with a standard deviation of 8 years. Number of students at the uni
otez555 [7]

Answer:

0.1875

Step-by-step explanation:

σM=σ/√N

=8/√7500

=8/86.608

=0.092

Z=(x-μ)/σ/√N

=(25.5-36)/8/√7500

=-10.5/0.0092=-1141.304

Z score = -1.3125

=(27-36)/8/√7500 =

=9/0.0092=978.261

Z score= -1.125

-1.125-(-1.3125)=-1.125+1.3125)= 0.1875

The probability that the sample mean will be between 25.5 and 27 years

P(between 25.5 and 27) = 0.1875

3 0
3 years ago
What is the range of possible sizes for side x? _ < x < _
qwelly [4]

Answer:

2.8 < x < 5.8

Step-by-step explanation:

We must apply the Triangle Inequality Theorem which states that for any triangle with sides a, b, and c:

a + b > c

b + c > a

c + a > b

Here, let's arbitrarily denote a as 4.1, b as 1.3, and c as x. So, let's plug these values into the 3 inequalities listed above:

a + b > c  ⇒  4.1 + 1.3 > x  ⇒  5.8 > x

b + c > a  ⇒  1.3 + x > 4.1  ⇒  x > 2.8

c + a > b  ⇒  x + 4.1 > 1.3  ⇒  x > -2.8

Look at the last two: clearly if x is greater than 2.8 (from the second one), then it will definitely be greater than -2.8 (from the third), so we can just disregard the last inequality.

Thus, the range of possible sizes for x are:

2.8 < x < 5.8

<em>~ an aesthetics lover</em>

8 0
3 years ago
Read 2 more answers
PLEASE SEE PIC BELOW
stepladder [879]

Answer: third one

Step-by-step explanation: if you do the equation you will see the result and will be equivalents to numbers higher or exact to 0.

4 0
3 years ago
Other questions:
  • What is 789,626,968,486,998 -1
    14·2 answers
  • 3. If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day is: (a) 1 – n
    6·1 answer
  • 2(5+r) write expression results from using distributive property
    6·2 answers
  • N. Section 2.2<br> Find the difference. Write the difference in lowest terms.<br> 8 1/3 - 5=
    10·1 answer
  • What is 33.5 % as a Decimal and a fraction?
    9·2 answers
  • I need the answer pls
    9·1 answer
  • STD 10
    8·1 answer
  • How would I be able to get the step by step prosses of this and the answer of y?
    14·1 answer
  • Canh square roots be rational numbers ?
    10·2 answers
  • Harpreet, Sukhpreet and Komalpreet are three sisters. Sukhpreet is x years old. Harpreet is 3 years older than Sukhpreet. Komalp
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!