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
Sophie [7]
2 years ago
5

If theta is a positive acute angles find theta when 2 sin^2 theta + 3 cos theta =3​

Mathematics
1 answer:
MArishka [77]2 years ago
6 0

Answer:

Theta = 0, 60 degrees.

Step-by-step explanation:

2 sin^2 theta + 3 cos theta = 3​

Using the identity sin ^2 theta = 1 - cos^2 theta :

2(1 - cos^2 theta) + 3 cos theta  = 3

2 - 2cos^2 theta) + 3 cos theta  = 3

2 cos^2 theta - 3 cos theta   + 3 - 2 = 0

2 cos^2 theta - 3 cos theta   + 1 = 0

(2 cos theta - 1)(cos theta - 1) = 0

cos theta = 1/2 , cos theta = 1

Theta = 60 degrees or theta = 0

You might be interested in
How do you write 11,000 in Japanese (in kanji)
viktelen [127]

Answer:

1.1万

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A 25-year old woman burns 200−20t cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is 110t calor
marin [14]

The net decrease in calories after walking for 5 hours is 50 calorie.

According to the statement

we have given that the

A 25-year old woman burns 200−20t cal/hr and Her caloric intake from drinking Gatorade is 110t calories during the t hour.

And we have to find the net decrease in calories after walking for 5 hours.

So, For this purpose,

We know that the

calories burns in one hour = 200−20t

calories burns in 5 hours = 5(200−20t)

calories burns in 5 hours = 1000 - 100t

Now,

Calorie intake in t hours = 110t

And

net decrease in calories after walking for 5 hours =  100t - 1000 + 110t

put t is 5 then

net decrease in calories after walking for 5 hours = 210(5) - 1000

net decrease is 50 cal.

So, The net decrease in calories after walking for 5 hours is 50 calorie.

Learn more about calorie here

brainly.com/question/11460467

#SPJ1

3 0
2 years ago
What is the factor pair of 9
den301095 [7]
1 x 9, 3 x 3, 9 x 1

1 and 9 are a factor pair of 9 since 1 x 9= 9

3 and 3 are a factor pair of 9 since 3 x 3= 9

9 and 1 are a factor pair of 9 since 9 x 1= 9

5 0
3 years ago
Read 2 more answers
Over the past few years, Kathleen has made 71 trips to visit the amusement park. She drove 5,631.72 kilometers in all. How far d
Alinara [238K]
To find the answer you have to divide 5,631.72 by 71. the answer is 79.32, so she traveled 79.32 kl.
hope it helped ^-^
7 0
3 years ago
Read 2 more answers
Let n represent the time in hours for the service call and C represents the total cost in dollars. Write an equation that relate
USPshnik [31]

Answer:

C(n) = pn

Step-by-step explanation:

Given :

n = time in hours for service call

C = total cost

Total cost = unit cost per hour * time in hours

If unit cost per hour = p

Hence,

C(n) = p * n

C(n) = pn

8 0
3 years ago
Other questions:
  • The graph shows two lines, A and B.
    10·2 answers
  • F(x)=2×-a/x-b a and b is real number and not = 0 f'(0)=4 and f"(0)=-8 find f(0)
    9·1 answer
  • If square + circle= triangle then triangle - square =? And how do you know the answer is correct?
    10·1 answer
  • Are BD and CE congruent
    12·2 answers
  • A store has clearance items that have been marked down by 55%. They are having a sale advertising an additional 40% off Clarence
    15·1 answer
  • Twenty percent multiply by x is what
    5·1 answer
  • Plz i really need help
    13·2 answers
  • 29. The table shows the average annual salary in dollars based on the minimum level of education required for two occupations. B
    5·1 answer
  • 3) Original price of a tie: $29.50<br> Discount: 50%<br> Tax: 5%
    11·1 answer
  • Write a system of equations to describe the situation below, solve using any method, and fill
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!