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
Jobisdone [24]
3 years ago
15

Make the indicated trigonometric substitution in the given algebraic expression and simplify. Assume that  

x.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7Bx%5E2-36%7D%20%7D%7Bx%7D%20" id="TexFormula1" title=" \frac{ \sqrt{x^2-36} }{x} " alt=" \frac{ \sqrt{x^2-36} }{x} " align="absmiddle" class="latex-formula">     0 ≤ θ < π/2.   
x=6secФ
Mathematics
1 answer:
tresset_1 [31]3 years ago
7 0
After substituting:
\frac{\sqrt{36sec^2 \theta - 36}}{6 sec \theta}
Factor out the 36, allowing the 6's to cancel
\frac{ \sqrt{sec^2 \theta - 1}}{sec \theta}
Use trig identity:
sec^2 - 1 = tan^2
\frac{\sqrt{tan^2 \theta}}{sec \theta} = \frac{tan \theta}{sec \theta} = sin \theta
You might be interested in
Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost
Mama L [17]
2X=Y

2 because it is two dollars per pound.
8 0
3 years ago
Read 2 more answers
Find an exponential model : Q is the population of bacteria in a Petri dish whose population was originally 150,000 but is tripl
Nadya [2.5K]

Answer:

150,000*3^t for 6 hour increments (t=1 is 6 hours t=2 is 12)

150,000*3^(t/6) for hourly increments, each t is 1 hour.  

Step-by-step explanation:

Well super simply you could do 150,000*3^t where t is measured in 6 hour intervals.  so t=1 is 6 hours, and to get 1 hour you would need to do t=1/6

If you want t to be an increase of every hour you would just need to adjust, like I showed before 1/6 gets one hour so 150,000*3^(t/6) would be the model where every t increases by 1 hour.

4 0
3 years ago
If u have 3/12 of an orange how many fourths do u have
sveta [45]
The answer would be 1/4 :)
5 0
3 years ago
Read 2 more answers
Help please and thank you
Lostsunrise [7]
The key term here is inverse variation - that is, two or more variables must multiply to a certain product.
So, let's multiply 12 and 8. We get 96.
The correct pair must contain factors of 96.
16 and 6 are factors of 96, so the answer is (D).
4 0
3 years ago
Order from greatest to least.<br> 0.386,0.3,0.683,0.836
lisabon 2012 [21]

Answer:

Greatest to least is 0.836 ,  0.683, 0.386 ,  0.3.

Step-by-step explanation:

Given  : 0.386; 0.3; 0.683; 0.836.

To find : which Is greatest to least.

Solution :" We have given 0.386; 0.3; 0.683; 0.836.

In 0.386

Tenth place is 3 and hundredth place is 8

In 0.3

Tenth place is 3 and hundredth place 0

In 0.683

Tenth place is 6 and hundredth place 8

In 0.836.

Tenth place is 8 and hundredth place 3.

So, Greatest number is 0.836 ,

Least number is  0.3.

Therefore, Greatest to least is 0.836 ,  0.683, 0.386 ,  0.3.

3 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular prism has a volume of 192 cubic feet. The length of the prism is 8 ft and the width is 4 ft. What is the height of
    11·1 answer
  • Please answer with explanation
    8·2 answers
  • The inequality of the most people that can be seated in the auditorium
    5·1 answer
  • A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the p
    13·1 answer
  • A card is drawn from an ordinary deck of cards. find the probability of getting the 6 of clubs
    11·1 answer
  • Solve exponents please help just this one u get 10 points
    12·1 answer
  • Solve the equation.<br><br>5/7=10/x+2​
    5·2 answers
  • •What is the domain for the graph below?
    8·2 answers
  • Systematic Sampling Technique is used to select 5 numbers between 1 and 200. The first selected number is 12. What should be nex
    13·1 answer
  • A population consisting of an unlimited number of unit is termed as
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!