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Using trigonometric identities, it is found that the value of the tangent of the angle is given by:

B. [tex]-\frac{\sqrt{15}}{7}[/tex]

The tangent of an angle is given by it's sine divided by it's cosine, that is:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

In this problem, we have that:

[tex]\cos{\theta} = -\frac{7}{8}[/tex]

The following identity is applied:

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

Then:

[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]

[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]

[tex]\sin^2{\theta} = \frac{15}{64}[/tex]

[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]

Since it is on the second quadrant, it is positive, hence:

[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]

Applying the tangent equation:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]

[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]

More can be learned about trigonometric identities at https://brainly.com/question/22591162

Answer:

x^2+12x-13 = 0

Step-by-step explanation:

12x=13-x^2

=>12x+x^2=13-x^2+x^2

=>x^2+12x-13 = 13-13

=> x^2+12x-13 = 0

Answer:

x² + 12x - 13 = 0

Step-by-step explanation:

12x = 13 - x²

the standard form of an equation is written starting from the variable of the highest degree to the lowest. Hence after rearranging;

0 = 13 - x² - 12x

0 = -x² - 12x + 13

In an equation, the highest degree of a variable should preferably be postive hence the equation to the left side to remove the negative sign:

x² + 12x - 13 = 0

Answer:

16x-12

Step-by-step explanation:

4x-3 is one side

(4x-3)4 = 16x-12

Answer:

Step-by-step explanation:

32.16 / 4 = 8.04

$8.04

Answer:

The area of whole square is 396 sq mm

the area of triangle  = 99

396 - 99 = 297 sq mm

Answer - 297

Answer:

f(x) = x^3 + 2x^2 + x + 2

Step-by-step explanation:

If -2 + i is a zero, then -2 - i must also be a zero.

These zeros are -2, -2 + i and -2 - i, and the corresponding factors of the polynomail f(x) are (x + 2), (x + 2 - i) and (x + 2 + i).

(x + 2 - i) and (x + 2 + i) multiplied together becomes x^2 + 1.

Multiplying this result by the 3rd and last factor, (x + 2), we get

(x^2 + 1)(x + 2) = x^3 + 2x^2 + x + 2

Check, using synthetic division.  What are the factors of x^3 + 2x^2 + x + 2?

-2   /   1    2    1    2  

              -2   -2   -2

     -----------------------

         1      0    -1    0                  Since the remainder is zero, we know that

                                                    (x + 2) is a factor and -2 is a root.

Answer:

-10°F, -13°F, and -21°F

Step-by-step explanation:

we are looking for a temperature that is less than -8

-10°F, -13°F, and -21°F are all less than -8

Answer:

they want u to replace the letters with the numbers and then solve the equation. so instead of having c/a+2b they want you to write 6/3+2(-4)

then they want u to solve it. 6/3=2 and 2(-4)=-8 finally add 2 and -8 to get the answer -6. (you probably need to write it step by step not just say what the answer is)

Step-by-step explanation:

mexico simpre gana vamooos mexico alv todos los estadunidence s

Answer:

its c and use th e thererum

Answer:

None.

All the four given measurements can form a triangle.

Step-by-step explanation:

Given;

first measurement, = 2m , 5m, 6m

second measurement, = 8m, 10m, 17m

third measurement, = 5m, 20m, 22m

fourth measurement, = 4m, 15m, 20m

For any of the three lengths to form a triangle, the sum of any two sides must be greater than the third side.

First measurement: 2m + 5m = 7m and 7m > 6m (can form a triangle)

Second measurement: 8m + 10m = 18m and 18m > 17m (can form a triangle)

Third measurement: 5m + 20m = 25m and 25m > 22m (can form a triangle)

Fourth measurement: 4m + 15m = 19m and 19m < 20m  BUT

                                  20 m + 15m = 35 m and 35 m > 4m (can form a triangle)

Therefore, all the four given measurements can form a triangle.

Answer:

not a right triangle

Step-by-step explanation:

right triangles are those that prove out to be true when you square the two smaller sides and the sum is equal to the square of the longest side

true or false?

10² + 12² = 14²

100 + 144 = 196

False, ∴ not a right triangle

Answer:

6 answers

Step-by-step explanation:

46,48,68,64,86,84

Answer:

m=-2 its just -2

Step-by-step explanation:

Answer:

Using the slope-intercept form, the slope is −2 .

Step-by-step explanation:

Answer:

Triangle:

- triangle-sticky notes yung triangle shape

- toblerone candy

Quadrilateral:

-quadrilateral-book

-box

-frame

Step-by-step explanation:

hope it helps u and may I get brainliest

Answer:

Sandwich.

A Slice of Pizza.

Road sign.

An Arrow.

Triangular Ruler.

Zelda Triforce Symbol.

Triangular Ruler.

Step-by-step explanation:

Answer:it y

Step-by-step explanation: it y =2/2x-3

Answer:

56.8

Step-by-step explanation:

Base: 17/2=8.5

8.5^2+18^2=x^2

72.25+324=x^2

x^2=396.25

Perimeter: 19.9+19.9+17=56.81

Answer:

2 miles

Step-by-step explanation:

12 mph would be 6 miles in a half hour

8 - 6 = 2 miles

Answer:

seeing as no one is answering I will

Answer:

2500 m long

Step-by-step explanation:

Answer:

2,500 meters

Step-by-step explanation:

There are 1000 meters in a kilo meter so just multiply 2.5 x 1000

Answer:

The fraction would be 6 or 6/1 because 8-2=6.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

17/9

Step-by-step explanation:

Answer:

the answer is 1 8/9.

Step-by-step explanation:

it is an improper fraction

Answer:

a

Step-by-step explanation:

Given

u = (x₁, y₁, z₁ ) and v = (x₂, y₂, z₂ ) then the dot product is

u • v = (x₁ x₂ ) + (y₁ y₂ ) + (z₁ z₂ )

Then

v • w

= (5 × 9) + (- 4 × - 2) + (4 × 7)

= 45 + 8 + 28

= 81 → a

Answer:

193900

Step-by-step explanation:

thx for points

Answer:

2x=18

Step-by-step explanation:

2 times 9 equals 18 and if they both have 18 together the only anwser would be 2x=18 x=9 Another way I could put it to make it more simple is 2X9=18 or 29=18

Answer:

B Increase: 1, 6

B Decrease: 2, 5

Step-by-step explanation:

Brainliest plz ;)

Answer:

I think it does not have zeros if it doesn't cross the x-axis .

Step-by-step explanation:

Good luck ^_^

Answer:

The answer is 493.3

Step-by-step explanation:

6.72 x 12.7 x 5.78 = 493.28872

And 493.28872 rounded to the nearest tenth is 493.3 because the original number in the tenth place is 2 and then the digit before that is 8 which in this case is your rounding digit. Round up If the number is greater than 5 and round down if its less than 5. In this case its greater than 5 to that leaves you with 28 so now you have 493.28, 28 rounded to the nearest tenth is 30 and just take the 0 away, as if it didn't exist.

The surface area of the prism is 395 square centimeter.

Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write volume as -

V = ∫∫∫ F(x, y, z) dx dy dz

Given is to fins the surface area of the prism given below.

The given prism is a cuboid. We can write the surface area of the cuboid as -

V = 2(LB + BH + LH)

V = 2(12.7 x 5.78 + 5.78 x 6.72 + 12.7  x 6.72)

V = 2(73.4 + 38.8 + 85.344)

V = 395 square centimeter

Therefore, the surface area of the prism is 395 square centimeter.

To solve more questions on Prisms, visit the link-

https://brainly.com/question/22147194

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Answer:

26) A

29)D

4) C

Step-by-step explanation:

Hope this helps. Your gonna pass