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
Ahat [919]
2 years ago
15

Find cos(α) in the triangle.

Mathematics
2 answers:
ki77a [65]2 years ago
8 0
<h3><u>Ⲁⲛ⳽ⲱⲉⲅ</u><u>:</u></h3>

\quad\hookrightarrow\quad \sf { \dfrac{35}{37} }

<h3><u>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</u></h3>

In the given triangle , for angle α , we have :

  • Base = 35
  • Hypotenuse = 37
  • Perpendicular = 12

And, cos α for a right angled triangle is the ratio of the adjacent side to the hypotenuse, where α is the acute angle ,i.e:

\quad\longrightarrow\quad {\pmb{\sf {cos\:\alpha = \dfrac{Base}{Hypotenuse} }}}

<u>Therefore:</u>

\implies\quad \tt { cos\:\alpha = \dfrac{B}{H} }

\implies\quad \tt\underline{ \underline{\pmb{{cos\:\alpha =\dfrac{35}{37}} }}}

vesna_86 [32]2 years ago
3 0

Answer:

.............................................

You might be interested in
What is the radius of the circle inscribed in triangle $abc$ if $ab = 12, ac=14, bc=16$? express your answer in simplest radical
GalinKa [24]
The triangle given above is a scalene triangle as non of its given sides are equal. To determine the area of the triangle, we use the Heron's formula which is expressed as below,
    A = sqrt ((s)(s - a)(s - b)(s - c))

where a, b, and c are the lengths of the sides and s is the semiperimeter ((a+b+c)/2)

The area of the triangle can also be computed through the equation, A = rs
where r is the radius of the inscribed circle. Equating both areas,
     A = sqrt ((s)(s-a)(s-b)(s-c)) = rs
Divide the equation by s,
      r = sqrt ((s)(s-a)(s-b)(s-c)) / s


Solving for s,
    s = (12+14+16)/2 = 21

Substituting to the equation for r,
    r = sqrt ((21)(21-12)(21-14)(21-16)) 21
    r = sqrt 15
    r = 3.87

<em>ANSWER: r = 3.87</em>
7 0
3 years ago
Read 2 more answers
What is the solution to 6(5x−2)=−72?
natta225 [31]

Answer:

nope its -60

Step-by-step explanation:

5x-2 is -10

6x-10 is -60

4 0
3 years ago
Read 2 more answers
One base of a trapezoid is 8 cm longer than the other. The height of the trapezoid is 2 cm longer than the shortest base. If the
Hitman42 [59]

Answer:

B

Step-by-step explanation:

Let's call the shortest side a. The longest base, b, is 8cm longer than a. The height, h, is 2cm longer than a.

b = a + 8

h = a + 2

A = (a + b)h/2

48 = (a + (a+8))(a+2)/2

     = (2a+8)(a+2)/2

     = (2a^2+12a+16)/2

48 = a^2+6a+8

a^2+6a-40=0

Now, we factor this:

(a + 4)(a - 10)=0

a = -4, 10

a (length) cannot be a negative no. so the only possible answer is a = 10.

b = 10 + 8 = 18

h = 10 + 2 = 12

The answer is B

Hope this helps!

7 0
3 years ago
A line has a slope of –6 and passes through the point (–12, 5). What is the equation of the line? Question 7 options: –6x + y =
Andre45 [30]

Answer:

6x + y = - 67

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 6 and (a, b) = (- 12, 5), thus

y - 5 = - 6(x - (- 12)), that is

y - 5 = - 6(x + 12) ← in point- slope form

Distribute right side and rearrange equation

y - 5 = - 6x - 72 ( add 6x to both sides )

6x + y - 5 = - 72 ( add 5 to both sides )

6x + y = - 67 ← in standard form

6 0
2 years ago
How do you convert 3 7/8 into a improper fraction and what would the answer be???
enyata [817]

Answer:

The mixed number 3 7/8 can be changed into the improper fraction 31/8.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • roya paid $48 for 12 carton of orange juice.which is the unit rate per carton of orange juice that roya paid
    13·1 answer
  • Please help me and explain. Find the area of the figure thanks
    13·1 answer
  • which properties are present in a table that represents an exponential function in the form y=b^x when b&gt;1​
    8·1 answer
  • Please help me with this answer
    12·1 answer
  • How do you write 3 and 2/4 as a fraction greater than. 1
    11·2 answers
  • the density of pure gold 1,204 pounds per cubic foot? how many cubic feet is 481.6lbs of pure gold?
    11·1 answer
  • 9. An object travels along a horizontal straight path at a constant rate. The object travels of the length
    5·1 answer
  • FInd the distance between the points (9,3) and (1,9)
    6·1 answer
  • Please help this is urgent!!
    9·1 answer
  • The expression 8³⋅2−¹⁰ is equal to what?<br> ᶠʳᵉᵉ ᵖᵒᶦⁿᵗˢ!! ᵃⁿᵈ ᶜᵘᵗᵉ ᵖᶦᶜᵗᵘʳᵉˢ ♡
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!