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
11111nata11111 [884]
2 years ago
12

Please help with math questions

Mathematics
2 answers:
GarryVolchara [31]2 years ago
8 0

Answer:

See answers below

Step-by-step explanation:

<u>Problem 1</u>

Recall that tan(A+B)=\frac{tanA+tanB}{1-tanAtanB} and that tan(\frac{\pi}{4})=1. Using these two facts, we can rewrite the expression:

\frac{1+tanx}{-1+tanx}\\\\-\frac{1+tanx}{1-tanx}\\ \\-\frac{tan(\frac{\pi}{4})+tanx}{1-tan(\frac{\pi}{4})tan(x)}\\ \\-tan(x+\frac{\pi}{4})\\ \\tan(\frac{3\pi}{4}-x)

Hence, the first choice is correct

<u>Problem 2</u>

<u />cos(\frac{x}{2})=\sqrt{3}-cos(\frac{x}{2})\:;\: 0\leq x < 360^\circ\\\\2cos(\frac{x}{2})=\sqrt{3}\\ \\cos(\frac{x}{2})=\frac{\sqrt{3}}{2}\\\\\frac{x}{2}=\frac{\pi}{6}+2\pi n,\frac{11\pi}{6}+2\pi n\\ \\ x=\frac{\pi}{3}+4\pi n,\frac{11\pi}{3}+4\pi n\\ \\ x=60^\circ+720n^\circ, 660^\circ+720n^\circ\\\\x=60^\circ

It's helpful to use the unit circle to solve these kinds of problems. Therefore, the third answer is correct.

<u>Problem 3</u>

Because sin\theta=-\frac{5}{13} and our parameters are \pi < \theta < \frac{3\pi}{2}, the triangle must be in Quadrant III where sin\theta < 0 and cos\theta < 0.

You may recall the double angle formula sin2\theta=2sin\theta cos\theta. We can find cos\theta using sin\theta with the Pythagorean Identity sin^2\theta+cos^2\theta=1 keeping our parameters in mind:

sin^2\theta+cos^2\theta=1\\\\(-\frac{5}{13})^2+cos^2\theta=1\\ \\\frac{25}{169}+cos^2\theta=1\\ \\cos^2\theta=\frac{144}{169}\\ \\cos\theta=-\frac{12}{13}

Thus, sin2\theta=2sin\theta cos\theta=2(-\frac{5}{13})(-\frac{12}{13})=2(\frac{60}{169})=\frac{120}{169}, which means the third option is correct.

frez [133]2 years ago
7 0
60 is the answer I hope this is right
You might be interested in
35% of f is 14. What is f
Scilla [17]

Answer: 40

Step-by-step explanation:

* Hopefully the work below helps:) Mark me the brainliest:)!!

<em>∞ 234483279c20∞</em>

8 0
3 years ago
What’s the answer for A B and C?
dimaraw [331]

Answer:

a = 2

b = 3

c = 8

Step-by-step explanation:

       First, let us look at the first two (far left) fractions to solve for a.

Since 2^5 = 2^5, nothing needs to change in the numerator. 4 = 2^{2}

    a = 2.

       Next, we will look at the first and third fractions to solve for b.

2^5 = 32

32 / 4 = 8

2^3 = 8

    b = 3

       Lastly, we will solve for c.

All of these fractions simplify to 8 and are equal to each other.

    c = 8

6 0
1 year ago
4(x)+2 Is -18 what is x
Harrizon [31]

Answer:

x=-5

Step-by-step explanation:

4x =  - 18 - 2 \\ x =  \frac{ - 20}{4}  \\  =  - 5

BESTIEEE I HOPE U CAN GIVE ME BRAINLIEST (╥﹏╥)(╥﹏╥)

7 0
3 years ago
Read 2 more answers
I need help with this one please
Mamont248 [21]
Answer- x=9.16 x signifies how much more money the student needs to add to the $20 to reach 350 in 12 months.

Explanation- divide both sides by 12, then subtract 20.
4 0
2 years ago
Read 2 more answers
ASAP<br> Can someone help me with this please
Sidana [21]

Answer:

x = 2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Math question down below
    5·2 answers
  • The isosceles triangle has a perimeter of 7.5 m
    10·2 answers
  • The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard de
    14·1 answer
  • You roll a standard number die. What is the probability of rolling a number less than 5?
    15·2 answers
  • How do you graph Y=-5x+15
    10·1 answer
  • Show work and explain with formulas.
    6·1 answer
  • Which list shows all the factor pairs of 72?
    15·1 answer
  • Answer 2,3,and 4<br> I really need help<br><br><br> thx
    12·2 answers
  • Can someone help its algebra?
    8·1 answer
  • Please help me out y'all ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!