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
4vir4ik [10]
3 years ago
6

Can anyone help me with trig identities?

Mathematics
1 answer:
nevsk [136]3 years ago
6 0

Answer:

cosA = √(21/25)

Step-by-step explanation:

We know

sin²(A) + cos²(A) = 1

Next, we know that sin(A) = 2/5. Plugging that into our equation, we get

(2/5)² + cos²A = 1

4/25 + cos²A = 1

subtract 4/25 from both sides to isolate cos²A

cos²A = 1 - 4/25 = 25/25-4/25 = 21/25

square root both sides to get

cosA = √(21/25)

We do not include -√(21/25) in our possible answer for cosA because this is in quadrant 1, so cosA must be positive.

You might be interested in
How to graph 9x+5y=-45
lilavasa [31]
9x +5y= -45 put in standard form y= mx+b coefficient of x is the slope, b is the y intercpept 5y= -9x -45 y= -9/5 x -45 graphing will start at -45 on the y axis from that point go down 9 to the right 5 for the slope continue and graph minimum 2 points to draw the line hope this helps
8 0
3 years ago
What is the solution to the system of equations graphed below
aliina [53]
The point where the lines intersect is the point that satisfies both equations.

It is (1, 5), selection C.
3 0
3 years ago
Read 2 more answers
Brielle and Joshua are running a half marathon race, which is 13.1 miles long. It takes Brielle 10 minutes to run 1.25 miles and
CaHeK987 [17]

Answer: Brielle will run the marathon faster.

Brielle = 104.8 minutes  

Joshua = 157.2 minutes

Step-by-step explanation:

Speed rate = distance /time

Brielle = 1.25 /10 = 0.125 miles per minute

Joshua = 1.5/18 = 0.083333 =1/12 miles per minute

Since 0.125 (Brielle) > 1/12 (Joshua)

Brielle will run the marathon faster.

To calculate the time that takes each one to run the entire race (13.1 miles)

Time= distance / speed

  • Brielle = 13.1 /0.125 = 104.8 minutes
  • Joshua = 13.1 / (1/12)= 157.2 minutes

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
Maria plans to fill pots in her garden with soil and plant food. Maria has 8 1/2 quarts of soil as 1 1/2 quarts of plant food. E
babymother [125]
1. You have the following information:
<span>
 - Maria has 8 1/2 quarts of soil.
 - Each pot requires 3/4 quart of soil.
</span>
 2. Keeping this on mind, you can convert the mixed number 8 1/2 and the fracion 3/4 to decimals, as below: 

 8 1/2=8.5 quarts
 3/4=0.75 quarts

 3. Therefore, you have:

 1 pot-----0.75 quarts
       x-----8.5 quarts

 x=(8.5x1)/0.75
 x=11 pots
<span>
 For how many pots does Maria have enough soil?
</span>
 The answer is: 11 pots
 
 
 
8 0
3 years ago
Helpp please quick!!!!
lesya692 [45]

Answer:

A) Leg

Step-by-step explanation:

In a right triangle, the side that is opposite of the right angle is the hypotenuse. It is also the longest side of the triangle.

Since side 'a' makes up a right angle and it's a shorter piece, it is a leg of the triangle.

Hope this helps.

4 0
3 years ago
Other questions:
  • Please help me asap!
    11·1 answer
  • A pair of jeans originally cost $80, but is on sale for 30% off. there is a coupon available for an additional 10% off of the sa
    10·1 answer
  • Jackson decided to exercise. He has at most 45 minutes to exercise and he wants to burn at least 400 calories. He burns 10.4 cal
    7·1 answer
  • What is the area of a circle whose radius is 5 ft?<br> 57 ft2<br> 107 fta<br> 207 ft?<br> 257 ft
    7·2 answers
  • How do you do 32y + 12y
    10·2 answers
  • Which statements are true about the lines? Select three options.
    6·1 answer
  • Use the number line below to determine the ratio of AD to EI.
    6·1 answer
  • The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is
    13·1 answer
  • Find the mean absolute deviation of the setback of data. 9, 12, 3, 5, 8
    13·1 answer
  • There are 3 white marbles, 4 yellow marbles and 5 blue marbles. What's the probability of having one blue marble when we randoml
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!