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
Gnoma [55]
3 years ago
7

If sin α=(12/13), and cos α=(5/13), then tan α = ?

Mathematics
1 answer:
Olin [163]3 years ago
4 0
Sin α  =  12/13             opposite/hypothenue
cos α  =  5/13              adjacent/hypothenue
tan α  =  12/5                opposite/adjacent
You might be interested in
Verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial
Mariulka [41]

Answer:

i) Since P(2), P(-1) and P(½) gives 0, then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

ii) - the sum of the zeros and the corresponding coefficients are the same

-the Sum of the products of roots where 2 are taken at the same time is same as the corresponding coefficient.

-the product of the zeros of the polynomial is same as the corresponding coefficient

Step-by-step explanation:

We are given the cubic polynomial;

p(x) = 2x³ - 3x² - 3x + 2

For us to verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial, we will plug them into the equation and they must give a value of zero.

Thus;

P(2) = 2(2)³ - 3(2)² - 3(2) + 2 = 16 - 12 - 6 + 2 = 0

P(-1) = 2(-1)³ - 3(-1)² - 3(-1) + 2 = -2 - 3 + 3 + 2 = 0

P(½) = 2(½)³ - 3(½)² - 3(½) + 2 = ¼ - ¾ - 3/2 + 2 = -½ + ½ = 0

Since, P(2), P(-1) and P(½) gives 0,then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

Now, let's verify the relationship between the zeros and the coefficients.

Let the zeros be as follows;

α = 2

β = -1

γ = ½

The coefficients are;

a = 2

b = -3

c = -3

d = 2

So, the relationships are;

α + β + γ = -b/a

αβ + βγ + γα = c/a

αβγ = -d/a

Thus,

First relationship α + β + γ = -b/a gives;

2 - 1 + ½ = -(-3/2)

1½ = 3/2

3/2 = 3/2

LHS = RHS; So, the sum of the zeros and the coefficients are the same

For the second relationship, αβ + βγ + γα = c/a it gives;

2(-1) + (-1)(½) + (½)(2) = -3/2

-2 - 1½ + 1 = -3/2

-1½ - 1½ = -3/2

-3/2 = - 3/2

LHS = RHS, so the Sum of the products of roots where 2 are taken at the same time is same as the coefficient

For the third relationship, αβγ = -d/a gives;

2 * -1 * ½ = -2/2

-1 = - 1

LHS = RHS, so the product of the zeros(roots) is same as the corresponding coefficient

7 0
3 years ago
Solve this equation for k.<br><br> 3 − 3k + 7k = 5b<br><br> Enter the correct answer in the box.
Sloan [31]

Answer:

k=5b/4−3/4

Step-by-step explanation:

3-3k+7k=5b

Isolate the variable by dividing each side by factors that don't contain the variable.

k=5b/4−3/4

-hope it helps

8 0
2 years ago
How do I do this? I need it in perimeter to 2 decimal places. Thank you!
ad-work [718]

Answer:

The perimeter is 127.1 cm

Step-by-step explanation:

30+25+25=80

(2)(3.14)(15)=94.2

94.2/2=47.1

Divide by two because of the semicircle

80+47.1=127.1

8 0
3 years ago
Read 2 more answers
Is ABSE- ATES? If so, identify the similarity postulate or theorem that
LuckyWell [14K]
C) similar SAS
Your welcome:)
5 0
3 years ago
What is 1/3 of 57 current size?
ludmilkaskok [199]

Answer:

19

Step-by-step explanation:

one third of 57 is the same as saying 57 divided by 3 and if you do that then you get the answer above

3 0
3 years ago
Other questions:
  • What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ 2
    12·1 answer
  • What is 16-2t = 5t+ 9
    6·2 answers
  • What is the volume of a pentagonal prism that has a base area of 5.16 cm2 and a height of 9 cm?
    5·2 answers
  • What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?
    6·1 answer
  • At summer camp the ratio of boys to girls was 7:4. If there was 63 boys how many girls were there.
    11·1 answer
  • Graphically, deadweight loss is shown by the: select one:
    12·1 answer
  • What is the value of t? ​
    7·1 answer
  • In a two-digit number, the units digit is 5 more that the tenth digit. The number itself is three times the sum of its digits. W
    11·2 answers
  • Which fractions 1/3, 5/6, 3/4, 3/8 are closer to 0 than to 1?
    10·2 answers
  • A cylinder shaped glass with a base radius of 1.5 inches and a height of 6 inches weighs 1.06 ounces when empty. The glass is th
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!