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
GenaCL600 [577]
3 years ago
8

How to find the θ in this equation: tan(θ+16°)=1/tan(θ+60°) by using the trigonometric identities?thanks

Mathematics
1 answer:
DedPeter [7]3 years ago
7 0

Answer:

\huge \theta  =7°

Step-by-step explanation:

tan( \theta + 16 \degree) =  \frac{1}{tan( \theta + 60 \degree) }  \\ tan( \theta + 16 \degree) =cot( \theta + 60 \degree) \\ tan( \theta + 16 \degree) = tan \{90 \degree - (\theta + 60\degree) \} \\ \theta + 16 \degree = 90 \degree - \theta  -  60\degree \\ \theta +\theta  = 30 \degree - 16\degree \\2 \theta  = 14 \degree  \\ \theta  =  \frac{14 \degree}{2}   \\   \huge \red{ \boxed{\theta  =7 \degree}}

You might be interested in
Which fraction is equal to k in the equation below? <br>1\3 / 2= k
Nitella [24]

Answer:

0_10 =0_2

Step-by-step explanation:

Convert the following to base 2:

0_10

Hint: | Starting with zero, raise 2 to increasingly larger integer powers until the result exceeds 0.

Determine the powers of 2 that will be used as the places of the digits in the base-2 representation of 0:

Power | \!\(\*SuperscriptBox[\(Base\), \(Power\)]\) | Place value

0 | 2^0 | 1

Hint: | The powers of 2 (in ascending order) are associated with the places from right to left.

Label each place of the base-2 representation of 0 with the appropriate power of 2:

Place | | | 2^0 |  

| | | ↓ |  

0_10 | = | ( | __ | )_(_2)

Hint: | Divide 0 by 2 and find the remainder. The remainder is the first digit.

Determine the value of 0 in base 2:

0/2=0 with remainder 0

Place | | | 2^0 |  

| | | ↓ |  

0_10 | = | ( | 0 | )_(_2)

Hint: | Express 0_10 in base 2.

The number 0_10 is equivalent to 0_2 in base 2.

Answer: 0_10 =0_2

8 0
3 years ago
Solve for x<br>Please show steps thank you.
const2013 [10]
The absolute value of x is simply x and followed by the expression.

X + 1 + x + 1 <_ 2

2x + 2 <_ 2

2x <_ 0

X <_ 0

Basically all values that follow this inequality will most likely hold true.

For instance. -1.

-1 + 1 = 0
Absolute value of -2 = 2.

2 is equal to 2. This expression holds true.
4 0
2 years ago
2(x - 2) = -4x + 44 what does x equal
Komok [63]
2(x - 2) = -4x + 44

First, expand. / Your problem should look like: 2x - 4 = -4x + 44
Second, add 4 to both sides. / Your problem should look like: 2x = -4x + 44 + 4
Third, simplify -4x + 44 + 4 to get -4x + 48. / Your problem should look like: 2x = -4x + 48
Fourth, add 4x to both sides. / Your problem should look like: 2x + 4x = 48
Fifth, add 2x + 4x to get 6x. / Your problem should look like: 6x = 48
Sixth, divide both sides by 6. / Your problem should look like: x =  \frac{48}{6}
Seventh, simplify \frac{48}{6} to 8. / Your problem should look like: x = 8

Answer: x = 8

5 0
2 years ago
Read 2 more answers
The measurement of a central angle is 75. Find the measurement of <br> in radians
Marina CMI [18]
Circumference = 360 degrees 
<span>Circumference = 2π radians (comes from 2*pi*radius) </span>

<span>Therefore </span>
<span>360 deg. = 2*π radians </span>
<span>180 deg. = π radians </span>
<span>1 deg. = (π/180) radians </span>

<span>75 deg. = 75(π/180) radians </span>
<span>75 deg. = 75π / 180 radians </span>
<span>don't bother to try and simplify π (it is an irrational number) </span>
<span>however you can simplify 75/180 </span>
<span>both are divisible by 5 </span>
<span>75π/180 = 15π/36 </span>
<span>both are divisible by 3 </span>
<span>75 deg. = 5π/12 radians </span>

<span>We normally don't bother to go further, unless you actually need it as a decimal fraction (in which case, you will have an approximation) </span>

<span>75 deg. ≈ 1.308997 radians</span>
5 0
3 years ago
What is the most accurate representation of the area of a plot measuring 11.7 cm by 15.4 cm?
sergiy2304 [10]
In the given question the length and width of the plot are already given. although there is no direct specification regarding the one that is length or the one that is the width, so it can be taken as your own choice. This will not affect the ultimate answer. 
So
Area of the rectangular plot = Length * Width
                                             = 11.7 * 15.4 square cm
                                             = 180.18 square cm
So the area of the rectangular plot as can be seen from the above deduction is 180.18 square centimeter.
6 0
3 years ago
Other questions:
  • Bacteria live in groups called colonies colonies are usually circular the diameter distance across if a particular bacterial col
    9·1 answer
  • What is the percentage of 12(1.33)?
    15·1 answer
  • What is 1/6 divide by 1/3
    15·2 answers
  • Factor <br> 3/4 x^2 +31/20 x-3/5
    15·1 answer
  • 1. The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg. Estimate
    12·1 answer
  • Angie and Kenny play online video games. Angie buys 2 software packages and 2 months of game play. Kenny buys 2 software package
    14·1 answer
  • Meg has 120 flowers at her flower stand. Of all the flowers, 1/4 are red , 1/8 are pink, 1/8 blue. Of the other half, 1/3 are ye
    14·1 answer
  • Can u guys please answer these questions
    13·1 answer
  • Your parents gave you a gift card for your favorite coffee shop. The card was worth $50
    13·1 answer
  • Find the value of n in each of the following statements
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!