Given that A , B and C are the vertices of a triangle and that ∠ C B A = 80 ∘ and ∠ A C B = 35 ∘ , label the triangle with the correct vertices, A , B , or C . Select the correct answer from the options below.

Answer:

A

Step-by-step explanation:

A

Determine tan(t) if cos(t) = -12/13 and sin(t) = 5/13

tan(t) = [tex]\frac{-5}{12}[/tex]

Method 1:

The sketch of the trigonometry is attached to this response.

Since cos(t) is negative and sin(t) is positive, then t should be in the second quadrant as shown in the sketch. A triangle is formed.

We know that, in a given triangle, the cosine of a given angle is the ratio of the adjacent side to the hypotenuse side.

i.e

cos (t) = adjacent / hypotenuse = - 12 / 13            

Where;

adjacent = -12                  [the adjacent side is in the -x direction]

hypotenuse = 13

Also, the sine of a given angle is the ratio of the opposite side to the hypotenuse side.

sin (t) = opposite / hypotenuse

Where;

opposite = 5

hypotenuse = 13

These sides - opposite, adjacent and hypotenuse - are labelled in the sketch.

From this triangle and the labels, the tangent can be found.

We know that the tangent of a given angle is the ratio of the opposite side to the hypotenuse side. i.e

tan (t) = opposite / adjacent

Where;

opposite = 5

adjacent = -12

Therefore,

tan (t) = [tex]\frac{-5}{12}[/tex]

Method 2:

The tangent of an angle is the ratio of the sine of that angle to the cosine of that angle. i.e

tan(t) = sin(t) / cos (t)              ---------------(i)

sin(t) = 5 / 13

cos(t) = -12 / 13

Substitute for sin(t) and cos (t) in equation (i)

tan(t) = [5 / 13] / [-12 / 13]

tan(t) = [5 / 13] x [-13 / 12]

tan(t) = [tex]\frac{5}{13} * \frac{-13}{12}[/tex]

tan(t) = [tex]\frac{-5}{12}[/tex]

Step-by-step explanation:

maybe this can help you with your problem

a) The exact value of tan 60 degree is [tex]\sqrt{3}[/tex].

b) The value of h in the given triangle is √3.

c) The area of the given triangle is 24[tex]\sqrt{3}[/tex].

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

The value of tan 60 degree is [tex]\sqrt{3}[/tex].

[tex]Area = \frac{1}{2}bh[/tex]

Where,

b is the base of the triangle.

h is the height of the triangle.

a) Since, the value of tan60 degree is [tex]\sqrt{3}[/tex].

Hence, the exact value of tan 60 degree is [tex]\sqrt{3}[/tex].

b). According to the given question, we have a right angled triangle in which

The length of the adjacent side w.r.t angle 60 degrees is [tex]4\sqrt{3}[/tex].

And, the length of the opposite side w.r.t angle 60 degrees is h.

Therefore, the value of h in the given triangle is given by

[tex]tan60 = \frac{h}{4\sqrt{3} }[/tex]

⇒[tex]\sqrt{3} =\frac{h}{4\sqrt{3} }[/tex]                   (because tan60=√3)

⇒[tex]h=4\sqrt{3} \sqrt{3}[/tex]

⇒[tex]h = 12[/tex]

Hence, the value of h in the given triangle is √3.

c) For the given triangle

Length of base = 4[tex]\sqrt{3}[/tex] unit.

And, the height of the given triangle is 12 unit.

The area of the given triangle is given by

[tex]Area = \frac{1}{2} (4\sqrt{3} )(12)[/tex]

⇒[tex]Area =24\sqrt{3}[/tex]

Hence, the area of the given triangle is 24[tex]\sqrt{3}[/tex].

Learn more about tangent of an angle and area of a triangle here:

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The trip odometer reading will be between 378.3 km and 378.4 km. Nominally, it will read 378.3 km.

Answer:

x=3  x = -1/2  x=1

Step-by-step explanation:

y = (x - 3)(2x + 1)(x - 1)

Set the function equal to zero

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

Using the zero product property

x-3 =0   2x+1 =0  x-1 =0

x=3   2x = -1  x=1

x=3  x = -1/2  x=1

Answer:

4

Step-by-step explanation:

f(-8)=-2(-8)-12

f(-8)=16-12

=4

Answer:

$25.66

Step-by-step explanation:

Given data

Total Bill before tax and tip= $27.30

Tax= 9%

Tip= 15%

Let us find the tax

=9/100*27.30

=0.09*27.30

=$2.457

Let us find the tip

=15/100*27.30

=0.15*27.30

=$4.095

Therefore his bill after tax and tip is

=27.30+2.457-4.095

=$25.66

Answer:

C. 3

Step-by-step explanation:

The y intercept will always be the 'b' in the formula

y= mx+b

since your formula is y = -8x +3, and 3 is in the place of "b", your y intercept will be 3

Answer:

C.3

Step-by-step explanation:

In the equation of y = -8x +3 you can find the y - intercept by looking at number which replaces b which is a positve three. Meaning that your y - intercept would be answer choice C which is positive three.

Answer:

If Ally and Bo share evenly, Bo will get 30$, so will Ally. The half of 60 is 30.

Answer:

n = 185/9

Step-by-step explanation:

(6n-25) + (3n + 20) = 180

Combine like terms

9n -5 = 180

Add 5 to each side

9n - 5 +5 = 180+5

9n = 185

Divide each side by 9

9n/9 = 185/9

n = 185/9

Answer:

meow meow

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

2^4= 2x2x2x2 = 16

Answer:

16

Step-by-step explanation:

Raise 2 to the power of 4.

4x2x2= 16

You're rasing 2 two times so...

4x2x2= 16

Answer:

The answer is "The discriminant is positive"

Step-by-step explanation:

When the discriminant is positive there is two real solutions.

When the discriminant is equal to 0, there is one real solution.

When the discriminant is negative, there is no real number solutions.

Answer:

60 cups of flour

Step-by-step explanation:

Since it takes 20 cups of flour for 4 loves of bread this means we're going to need to multiply 20x3=60

Answer:

B

Step-by-step explanation:

because area of prism = L×W×H

so

[tex] \frac{3}{4} \times \frac{5}{2} \times \frac{5}{4} [/tex]

answer is 75/32

hope this make sense:)

Answer:

Hi there uwu The answer is 75/32, also explained by the other answerer!

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros.  This parabolic curve opens up and has its vertex (minimum) at (-1, -1).

Answer: The graph has two zeros.

Step-by-step explanation:

The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.

y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.

You can see the height degree of the function is 2.

Therefore, there should be two zeros of the function.

According to the given graph of parabola has two zeros at x = -2 and x = 0.

The graph cross the x-axis at x = -2 and x = 0.

Hence, the graph has two zeros.

Answer is A. The graph has two zeros

Answer:

Step-by-step explanation:

The - tells you that it is upside down. So that much of your choice is correct for certain.

The 1/8 squishes the graph something fierce. So of those graphs given, the one you chose is most likely correct. But you are right to be a little miffed at the question. You should never have to choose an answer with only a picture to guide you. If you have a graphing calculator, try y = -1/8 x^2 which is a good candidate for all the graphs.

Answer:

A. 9x − (−5 + 6x)

D. 9x − (6x − 5)

Step-by-step explanation:

Select all expressions that at equivalent to the expression 3x + 5.

To get our answer, we have to solve each option

A. 9x − (−5 + 6x)

= 9x + 5 - 6x

= 9x - 6x + 5

= 3x + 5

Option A is correct

B. 9x − (5 − 6x)

= 9x - 5 + 6x

= 9x + 6x - 5

= 15x - 5

Option B is wrong

C. 9x − (6x + 5)

9x - 6x - 5

= 3x - 5

Option C is wrong

D. 9x − (6x − 5)

= 9x - 6x + 5

= 3x + 5

Option D is correct

E. 9x − (−6x + 5)

= 9x + 6x - 5

= 15x - 5

Therefore, Option A and D are the correct options with the right expressions

Angles (4x + 4°) and (6x - 4°) are supplementary.

That is :

[tex]\hookrightarrow \: 4x + 4 \degree + 6x -4 \degree = 180 \degree[/tex]

[tex]\hookrightarrow10x = 180 \degree[/tex]

[tex]\hookrightarrow x = 18 \degree[/tex]

__________________________

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

[tex]y=8x, \\y=12x[/tex]

Step-by-step explanation:

Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportional. Since directly proportional functions always pass through the origin, the y-intercept must be 0 (no additional number before or after [tex]x[/tex] term). The only answers that fit this format are:

[tex]\rightarrow \boxed{y=8x}\\\rightarrow \boxed{y=12x}[/tex]

Answer: Y=8x

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:c

Step-by-step explanation: it makes the most sense

Answer:

576'' squared

Step-by-step explanation:

Answer:

function is the correct answer

Answer:

an = a1 + (n - 1 ) d (Function)

Step-by-step explanation:

This is the formula that will be used when we find the general (or nth) term of an arithmetic sequence. So it is function

Answer:

y = -½x + 4

Step-by-step explanation:

the line passes point of y-intercept (0, 4) ,

and another point (6, 1)

the slope = (1-4)/(6-0) = (-3)/6 = -½

so the Equation is y = -½x + 4

Answer:

The answer for this is a=1,b=7,c=19.

Answer:

x<=-3

Step-by-step explanation:

2x-5/x-2 <= 1

Multiply both sides by x-2

2x-5<=x-2 (anything times 1 is that number.)

add 5 to both sides

2x<=x-3

subtract x from both sides

x<=-3

Answer:

Step-by-step explanation:

[tex]\frac{2x-5}{x-2} \leq 1\\case ~1. both ~numerator~and~denominator \geq 0\\x\neq 2\\2x-5\leq x-2\\x\leq 3\\so~0\leq x<2U2<x\leq 3\\case~2.\\both~numerator~and~denominator<0\\2x-5\geq x-2\\x>3\\which~is~rejected~as~it~gives~both~2x-5~and ~x-2>0[/tex]