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
An airplane climbs 100 feet during the first second after takeoff. In each succeeding second it climbs 100 feet more than it cli
tigry1 [53]

Answer:

15 seconds.

Step-by-step explanation:

∵ The distance covered by plane in first second = 100 ft,

Also, in each succeeding second it climbs 100 feet more than it climbed during the previous second,

So, distance covered in second second = 200,

In third second = 300,

In fourth second = 400,

............, so on....

Thus, the total distance covered by plane in n seconds = 100 + 200 + 300 +400......... upto n seconds

=\frac{n}{2}(2\times 100 + (n-1)100)  ( Sum of AP )

=\frac{n}{2}(200+100n-100)

=\frac{n}{2}(100+100n)

=50n+50n^2

Suppose the distance covered in n seconds is 12,000 feet,

\implies 50n+50n^2=12000

n+n^2=240

n^2+n-240=0

n^2+16n-15n-240=0

n(n+16)-15(n+16)=0

(n-15)(n+16)=0

\implies n=15\text{ or }n=-16

∵ n can not be negative,

Hence, after 15 seconds the plane will reach an altitude of 12,000 feet above its takeoff height.

6 0
3 years ago
Read 2 more answers
Simplify:2(x2 + 5) − 3(x + 1) + 3
sesenic [268]

Step-by-step explanation:

2x2 + 10 - 3x - 3 + 3

Solving like terms

2x2 - 3x + 10

Option B is the correct answer

3 0
3 years ago
In a sales effectiveness seminar, a group of sales representatives tried a few approaches to selling a new automobile to a custo
Ksju [112]

Answer:

1. P(S) = 373/580

2. P(S|A) = 53/116

3. P(S|Pa) = 481/580

Step-by-step explanation:

Given

---------------------Sale ----- No Sale-----Total

Aggressive ----265 --------315 ----------580

Passive ----------481 ---------99 -----------580

Total --------------746---------414------------1160

A = aggressive approach,

Pa = passive approach,

S = sale,

N= no sale.

(a) Computing P(S)

This is calculated as the division of customers that participated in sales by total customers

Customers that participated in sales = 265 + 481 = 746

Total Customers = 1160

P(S) = 746/1160

P(S) = 373/580

b.

P(S|A) means that the probability that a sales occur given that the aggressive method was used.

To solve this, we check the cell where Sales and Aggressive intersect

The cell element = 265

Total = 580

P(S|A) = 265/580

P(S|A) = 265/580

P(S|A) = 53/116

c.

P(S|Pa) means that the probability that a sales occur given that the passive method was used.

To solve this, we check the cell where Sales and Passive intersect

The cell element = 481

Total = 580

P(S|Pa) = 481/580

8 0
3 years ago
you are biking at a speed of 18 mph. You are 3 miles behind your friend who is breaking at a speed of 12 mph.write and solve an
Galina-37 [17]
18t=12t+3
18t-12t=3
6t=3
t=.5
5 0
3 years ago
Read 2 more answers
What number should both sides of the following equation be multiplied by to solve for x?
Reptile [31]

Answer:

\frac{x}{7.25}  = 4 \\ x = 4 \times 7.25 \\ x = 29

4 0
3 years ago
Other questions:
  • Given x(y + 2) = 3x + y, express y in terms of x.​
    8·1 answer
  • M² + 18m - 81 help me please ​
    10·1 answer
  • the sum of two consecutive odd integers is 64 what is the smaller number plzzzz help also can you some me how to do it
    15·1 answer
  • During a black Friday sale, Alberto paid 158.00 for a cell phone that was reduced by 30%. What was the original price of the sma
    15·1 answer
  • Cards are drawn with replacement from a standard deck until a king is drawn. does this constitute a binomial​ experiment? why or
    15·2 answers
  • I need to know the letter order these go in
    12·2 answers
  • Can someone help me thanks
    14·1 answer
  • 4 L = ___mL pls help​
    9·1 answer
  • 100 students in a classroom like iPhone or Samsung mobile or both mobile. Out kf them, 40 both mobiles. It the ratio of number o
    15·1 answer
  • One half of a number less than six is greater than or equal to ten
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!