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
e-lub [12.9K]
3 years ago
8

If a tree 28 meters tall casts a shadow 32 meters long, what is the angle of elevation of the sun to the nearest degree?

Mathematics
1 answer:
avanturin [10]3 years ago
4 0
Since we need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1.
Setting up the right triangle we have the opposite and adjacent so we use tan.
tan angle = 28/32
tan^-1 (28/32) = 41 degrees
You might be interested in
compare the two numbers to find which is greater. explain how you can compare them without writing them in standard notation fir
Anna71 [15]

The number with the largest exponent is the largest value overall. In this case, that would be 2.1 x 10^8 which is the largest value since 8 is the largest exponent.

Note: The number 4.5 x 10^6 is the number 4.5 million, while the number 2.1 x 10^8 is the number 210 million. The positive exponent means "move the decimal point that number of times to the right". So 4.5 x 10^6 means "move the decimal point 6 spots to the right" so you can convert to standard form. The larger the exponent, the more places the decimal point moves to the right.

5 0
3 years ago
A travel company sells holidays and wants to survey 500 customers stratified by country visited, complete the table.
OlgaM077 [116]

Answer:

\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|

Step-by-step explanation:

\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\$Number of Customers &968& 248& 2042& 742& 4000\\$Number of sample&&&&&&\end{array}\right|

Since the company wants to survey 500 customers by the countries visited, the number of samples from each country will be proportional to the number of customers.

For UK, Number of Samples=\dfrac{968}{4000}X500=121

For France, Number of Samples=\dfrac{248}{4000}X500=31

For Spain, Number of Samples=\dfrac{2042}{4000}X500\approx 255

For Italy, Number of Samples=\dfrac{742}{4000}X500\approx 93

The completed table therefore is:

\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|

7 0
3 years ago
Read 2 more answers
Which one does not belong? Explain reasoning
Nataly [62]

Answer:

the cylinder?

Step-by-step explanation:

because it uses a different way of finding the area?

8 0
3 years ago
Read 2 more answers
Solve the problem
yKpoI14uk [10]

Answer:

11,000 paid $14 for reserved seats.

25,000 paid $6 for general admission.

Step-by-step explanation:

<u>First, we need to establish the system of equations:</u>

x= number of people that pay $14

y= number of people that pay $6

14*x + 6*y= $304,000

x + y= 36,000

<u>Now, we isolate x in one equation and substitute it in the other one:</u>

x= 36,000 - y

14*(36,000 - y) + 6y = 304,000

504,000 - 8y = 304,000

200,000 = 8y

25,000 = y

x= 36,000 - 25,000

x= 11,000

11,000 paid $14 for reserved seats.

25,000 paid $6 for general admission.

4 0
2 years ago
Write a recursive rule for the sequence 21,14,7,0
andrew-mc [135]

Answer:

Step-by-step explanation:

21,14,7,0

a1=21

an=an-1-7

6 0
2 years ago
Other questions:
  • Rewrite 0.6 repeating as a fraction
    9·2 answers
  • Your friend adds (2.5*10^9) and (5.3*10^8) . Is your friend correct?
    5·1 answer
  • Each of four friends orders a sweatshirt from a catalog. There are 14 colors of sweatshirts, 7 of which are all cotton and 7 of
    11·1 answer
  • Four points are always coplanar if check all that apply
    5·1 answer
  • Alvin is 14 years older than elga's The sum of their ages is 94 what is elga'ss age
    7·2 answers
  • Show how to use the distributive property to simplify 4(5+x)
    5·2 answers
  • How do you get this answer ?
    6·1 answer
  • Find the present value of $ 3,000 at a simple interest rate of 6 % in 9 years ?
    11·2 answers
  • eli has a number cube with the numbers 1,2,3,4,5 and 6 he rolled it once what is the probability(in fractions) that he will land
    5·1 answer
  • Find the value of w (u(2))
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!