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
stepan [7]
3 years ago
6

Find the value of tanθ, if cosθ = 4/5 ; 0° ≤ θ< 90°

Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0

Answer:

  • 3/4

Step-by-step explanation:

<u>Given </u>

  • cosθ = 4/5
  • 0° ≤ θ < 90°

<u>In the first quadrant both sine and cosine are positive, so as tangent.</u>

  • tanθ = sinθ / cosθ =
  • \sqrt{1 - cos^2}θ / cosθ =
  • \sqrt{1 - (4/5)^2} / 4/5 =
  • \sqrt{9/25} / 4/5 =
  • 3/5*5/4 =
  • 3/4
You might be interested in
Solve the equation (128)^x=(1/2)^2x-3
dalvyx [7]

Answer:

0.79

Step-by-step explanation:

3 0
3 years ago
In the point (3,-2), what is<br> the x-value? Which<br> quadrant is this point<br> located?
natali 33 [55]

Answer:

Step-by-step explanation:

The x-value is 3. Coordinate pairs are labeled as (x, y). In this case, the 3 is in the x position.

The point is located in the 4th quadrant. Quadrant labels move counter-clockwise, from 1 to 4 as shown below. In Quadrant 4, the x-value will always be positive, and the y-value will always be negative. This point has a positive x-value and negative y-value, so it is in this quadrant.

5 0
1 year ago
Which of the following expressions is equal to 3x^2 + 27
Kisachek [45]
Factor: 
3x^2 + 27
= 3(x^2  + 9)
Answer is 3(x^2 + 9), when factored.


A) (3x + 9i)(x + 3i)
= (3x + 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + (9i)(x) + (9i)(3i)
= 3x^2 + 9ix + 9ix + 27i^2
= 27i^2 + 18ix + 3x^2



B) (3x - 9i)(x + 3i)
= (3x +  - 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + ( - 9i)(x) + (- 9i)(3i)
= 3x^2 + 9ix - 9ix - 27i^2
= 27i^2 + 3x^2


C) (3x - 6i)(x + 21i)
= (3x +  - 6i)(x + 21i)
= (3x)(x) + (3x)(21i) + (- 6i)(x) + ( -6i)(21i)
= 3x^2 + 63ix - 6ix - 126i^2
=  - 126i^2 + 57ix + 3x^2






D) (3x - 9i)(x - 3i)
=  (3x +   - 9)(x +  - 3)
= (3x)(x) + (3x)( - 3i) + (- 9)(x) + ( - 9)( - 3i)
= 3x^2 - 9ix - 9x + 27i
= 9ix + 3x^2 + 27i - 9x









Hope that helps!!!

8 0
3 years ago
Read 2 more answers
Draw the image of the rotation of quadrilateral SORT by 270° about the origin​
cestrela7 [59]

Answer:

70

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the value of 15.0 N in pounds. Use the conversions 1slug=14.59kg and 1ft=0.3048m .
Sliva [168]

The value of 15.0 N in pounds = 3.375 lb

<h3><em>Further explanation </em></h3>

The derivative magnitude is a quantity derived from the principal amount

7 main quantities have been determined based on international standards, namely:

  • 1. Length, meters (m)
  • 2. Time, second (s)
  • 3. Mass, kilograms (kg)
  • 4. Temperature, kelvin (K)
  • 5. Light intensity, candela (cd)
  • 6. Electric current, ampere (A)
  • 7. Amount of substance, mol (m)

Newton (N) is one unit of force (F) which is a quantity derived from mass (m), length (l) and time (s)

Newton can be expressed in terms of Kg m / s²

Formula used:

F = m. a

N = kg. m / s²

In the British system there are units of slug, feet, and pounds so that the unit of force becomes:

F = m. a

Lb = slug. ft / s²

The relationship between the two-unit systems above is:

1 kg = 0.0685 slug

1 slug = 14.59 kg

1 newton = 0.225 lb

1 lb = 4,448 newtons

1 ft = 0.3048 m

So if we change 15 N to lb by using slug and ft

15 N = 15 * (1 / 14.59) slug * (1 / 0.3048) ft / s²

15 N = 3,375 slug ft / s ²

15 N = 3,375 lb

or we convert directly:

15 N = 15 * 0.225 lb

15 N = 3,375 lb

<h3><em>Learn more </em></h3>

yard conversion

brainly.com/question/2479097

the quantity 0.0075 meters expressed in centimeters

brainly.com/question/2867118

A vineyard has 145 acres of Chardonnay grapes

brainly.com/question/982615

Keywords: slug, Newton, feet, kg, pound

6 0
3 years ago
Other questions:
  • Draw quick picture and write to tell how you would add 342and 416
    7·1 answer
  • I beg for someone. I need a maximum, minimum, domain, and range of polynomial:
    6·1 answer
  • Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm d
    14·1 answer
  • 12x+8y=28 in slope intercept form
    10·2 answers
  • NEED HELP <br>what is X in the diagram ​
    6·1 answer
  • Hey can anyone pls help me in this real quick!!!!
    12·1 answer
  • 7x-4=24 I need step by step
    6·2 answers
  • A turtle swimming in a straight line toward shore has a speed of 0.50 m/s.  After 4.0 s, its speed is 0.80 m/s.  What is the tur
    10·1 answer
  • What is the answer for this question ?:A set of multiples of 5 less than 30​
    12·1 answer
  • Farmers have learned how to grow watermelons
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!