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
Natalka [10]
3 years ago
7

Please Help. I really don’t get this concept, if you could explain it in detail it would be very appreciated

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0
<h3>Answer: 24/25</h3>

=================================================

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

--------------------------

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

---------------------------

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

You might be interested in
Help me, please! I need this today!!
Luden [163]

Answer:

5A)36 5b)30(mark as brainliest)

Step-by-step explanation:

5a)6+6+6+6+12 = 36

5b)36-8=28

28+2 = 30

8 0
2 years ago
Read 2 more answers
Simplify (2-6)(5)(23 * 5)2
Damm [24]

Answer:

-4600

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma
deff fn [24]

Answer:

4.5 miles per hour

Step-by-step explanation:

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Distance = 3/4 of a mile

Time taken on Monday = 1/6 of an hour.

What is Selma's unit rate in miles per hour for Monday's run?

Unit rate in miles per hour for Monday's run = distance ÷ time taken

= 3/4 ÷ 1/6

= 3/4 × 6/1

= (3 * 6) / (4 * 1)

= 18/4

= 4.5 miles per hour

Unit rate in miles per hour for Monday's run = 4.5 miles per hour

3 0
3 years ago
Nathan usually drinks 36 ounces of water per day. He reads that he should drink 64 ounces per day. If he starts drinking 64 ounc
Paladinen [302]
Questions seems simple but is not

36 ==> 64

About 77% increase
4 0
3 years ago
Pls helpppp I need the answer asap
zzz [600]

Answer:

CASH = 7284

Step-by-step explanation:

MATHEMATICS = 12345123678

CASH = ?

Find what number the letters represent:

M = 1

A = 2

T = 3

H = 4

E = 5

I = 6

C = 7

S = 8

Then, replace the numbers in the word CASH:

C = 7

A = 2

S = 8

H = 4

Therefore, the number is 7284.

Hope this helps and please mark Brainliest :)

8 0
2 years ago
Other questions:
  • A car salesman earns a base salary plus commission for every car he sells. The expression shows the amount the salesperson earns
    13·2 answers
  • The cost of a pack of chewing gum in a vending machine is $0.75.The cost of a bottle of juice in the same machine is $1.25.Julia
    6·2 answers
  • Which equation can be used
    12·1 answer
  • What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3
    6·1 answer
  • Find the area. Round to the nearest tenth.<br>6 ft<br>3 ft<br>12.16 ft<br>9.16 ft<br>​
    9·2 answers
  • The number cube is rolled and a coin is tossed .How can you sketch a tree diagram to represent the sample space ?
    15·1 answer
  • A dog groomer charges $39.50. The dog’s owner wants to give a 15% tip. What would be the total cost, including the tip? Round to
    7·1 answer
  • PLEASE HELP
    8·1 answer
  • Gianna goes shopping with $100 to spend on food for a party. She buys 8 pizzas that all cost the same price, $20 worth of soda a
    7·1 answer
  • Use the square root property of equality to solve<br><br>(x – 3)2 = –4.<br><br><br>The solutions are
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!