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
Viktor [21]
4 years ago
15

A scientist measures the angle x and the distance y between the Earth and the moon. Using complete sentences, explain how the sc

ientist can use only these two measurements to calculate the distance between the Earth and the Sun.
Mathematics
2 answers:
Gelneren [198K]4 years ago
6 0

tan =opposite/adjacent

In this case: tan =X , opposite=Y and adjacent= D

tan(x)=Y(opposite) /D(adjacent)

All terms in the equation are known except for 'D the distance'.

So the distance between the earth and the sun indicate by the symbol 'D' is equal to: y/tan(x)

Inga [223]4 years ago
4 0
Let the distance between the earth and the sun be denoted as 'z'.
From the trigonometric rules:
tan(theta)=opposite/adjacent

In this case: theta=x , opposite=y and adjacent=z

tan(x)=y/z
All terms in the equation are known except for 'z'.
therefore the distance between the earth and the sun denoted by the symbol 'z' is equal to: y/tanx
You might be interested in
Which expression can be used to find the length of AT?
irina [24]

Answer:

      \large\boxed{\large\boxed{\overline{AT}=12.5(cos66\º)}}

Explanation:

In a right triangle the angle between the hypotenuse and the adjacent leg to the angle are related by the trigonometric ratio cosine.

Cosine is the ratio of the adjacent leg to the hypotenuse:

In the right triangle ART, AT is the hypotenuse,  AR is the ajacent leg to the angle 66º, and RT is the opposite leg to the angle 66º.

Then, the length of AT and 12.5 is related by the cosine ratio:

       cos(66\º)=\dfrac{\overline{AT}}{12.5}

Multiplying both sides of the equation by 12.5in:

            \overline{AT}=12.5(cos66\º)     ← answer

7 0
4 years ago
Scientific research on popular beverages consisted of 70 studies that were fully sponsored by the food industry, and 30 studies
pishuonlain [190]

Answer:

a) 0.623 (62.3%)

b) 0.764 (76.4%)

c) 0.6 (60%)

Step-by-step explanation:

a) defining the event F= the product is favorable , then the probability is

P(F) = probability that the study was sponsored by food industry * probability that the product is favorable given that it was sponsored + probability that the study had no corporate ties * probability that the product is favorable given that it was not sponsored = 0.70 * 0.68 + 0.30 * 0.49 = 0.623

b) for conditional probability we use the theorem of Bayes , then defining the event S= the study was sponsored by the food industry , we have:

P(S/F)=P(S∩F)/P(F)= 0.70 * 0.68/0.623 = 0.764 (76.4%)

where

P(S∩F)=probability that the study was sponsored by food industry and the product was found favorable

P(S/F)=probability that the study was sponsored by food industry given that the product was found favorable

c) for U= the product was found unfavourable , doing the same procedure as in a)

P(U)= 0.70 * 0.10 + 0.30 * 0.35 = 0.175

and the corresponding conditional probability is

P(N/U)=P(N∩U)/P(U)= 0.30 * 0.35 / 0.175 = 0.6 (60%)

where N represents the event = the study had no industry funding

3 0
3 years ago
At home, 2 out of 5 people have access to board and technology. what percent is this?
Paha777 [63]

Answer:

0.4

Step-by-step explanation:

you just have to divide

2÷5=0.4

5 0
3 years ago
N equals eight what is the value of 56 divided by n
PilotLPTM [1.2K]

Answer:7

Step-by-step explanation:

N=8

Divide:56/8=7

3 0
3 years ago
Multiply and simplify.
ankoles [38]

Answer:

10  g^4  h^9

Step-by-step explanation:

-5gh^4 * (-2g^3 h^5)

Rewriting

-5*-2   g*g^3   h^4*h^5

When the bases are the same, we add the exponents (x^a * x^b = x^ (a+b)

There is an implied 1  if there is no exponent

-5*-2   g^1*g^3   h^4*h^5

10  * g^(1+3)  h^(4+5)

10  g^4  h^9

4 0
3 years ago
Other questions:
  • Write an expression with parenthesis to represent the quantity: 170 divided by the sum of 25 and 9
    5·1 answer
  • A bus makes a stop at 2:30, letting off 14 people and letting on 3. The bus makes another stop ten minutes later to let off 4 mo
    15·1 answer
  • _______square yards.
    5·2 answers
  • Express the fractions 1/2, 3/16, and 7/8 with an LCD
    15·1 answer
  • Dave made 5 kilograms of kettle corn. He divided it evenly into 20 bags. How many kilograms of kettle corn did he put in each ba
    11·1 answer
  • Which of the following statements must be true, given that AABC= AXYZ,
    13·1 answer
  • Please help me i need help please quick!!
    6·1 answer
  • How you express A fifth of books in my collection and two thirds of the books in my father's collection make 250 books​
    13·1 answer
  • Which ist shows all the factors of 36?
    8·2 answers
  • Round 7.430499778 to the nearest millionth
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!