if cos theta = 3/5 and theta is in quadrant 4, tan 2 theta =

Answers

Answer 1

Answer:

16/9.

Step-by-step explanation:

I am assuming you mean tan^2 theta.

The adjacent side of the triangle drawn in Q 4 = 3 (as cos theta = 3/5.

The opposite side of the triangle drawn in Q 4 = sqrt(5^2-3^2) = 4.

The tangent is negative in Q 4

So tan theta = -4/3.

tan^2 theta = 16/9.


Related Questions

For the given configuration, determine how many different licence plates are possible of (a) digits and letters can be repeated, and (b) digits and letters cannot be repeated. NO LINKS!!

Answers

9514 1404 393

Answer:

  5a,b = 17,576,000; 11,232,000

  6. 45,697,600; 32,292,000

  7. 6,760,000; 3,276,000

  8. 118,813,760; 78,936,000

Step-by-step explanation:

The number of possible ways the characters can occur is the product of the numbers of ways a character can be selected in each position. If letters or digits cannot repeat, the number of possible selections is reduced by 1 in each new location.

5a. 26×26×26×10×10×10 = 26³×10³ = 17,576,000

5b. 26×25×24×10×9×8 = 11,232,000

__

6a. 10²×26⁴ = 45,697,600

6b. 10×9×26×25×24×23 = 32,292,000

__

7a. 10⁴×26² = 6,760,000

7b. 10×9×8×7×26×25 = 3,276,000

__

8a. 26⁵×10 = 118,813,760

8b. 26×25×24×23×22×10 = 78,936,000

Write a equation to represent the hanger ,7th grade math help me

Answers

2x=11
I this this because the look at the equation it says it all or if im wrong ask your teacher

Which table represents a function

Answers

Answer:

A

Step-by-step explanation:

because it passes the vertical line test and also for every x, there is only one y

Order these numbers from least to greatest: 5, 0, 1, -13 -1-1

Answers

Answer:

-1 1/2, -1, 0, 1/2, 1

Step-by-step explanation:

(-8,3)(-3,-4.5) what is zero of g?​

Answers

Answer:

the daimeter of the heart of the heart of the heart

49°
Solve for 42.
2 = [?]
44/62

Answers

Answer:

∠2 = 41°

Step-by-step explanation:

∠2 + 49° + 90° = 180°

∠2 + 139° = 180°

∠2 = 180° - 139°

∠2 = 41°

Answer:

[tex] \displaystyle \angle2 = \bigg[{41}^{ \circ} \bigg][/tex]

Step-by-step explanation:

we are given a right angle triangle

we want to figure out the missing interior angle

recall that,

one of angle measure of a right angle triangle is 90° interior angles of a triangle add up to 180°

thus our equation is

[tex] \displaystyle {49}^{ \circ} + \angle2 + {90}^{ \circ} = {180}^{ \circ} [/tex]

simplify addition:

[tex] \displaystyle \angle2 + {139}^{ \circ} = {180}^{ \circ} [/tex]

cancel 139° from both sides:

[tex] \displaystyle \angle2 = {41}^{ \circ} [/tex]

hence,

the measure of the missing angle is 41°

How many solutions
Line A: x + y = 2
Line B: 2x + y = 4

Answers

Answer:

1 solution (2, 0 )

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

2x + y = 4 → (2)

Subtract (1) from (2) term by term to eliminate y

2x - x + y - y = 4 - 2 , that is

x + 0 = 2

x = 2

Substitute x = 2 into either of the 2 equations and evaluate for y

Substituting into (1)

2 + y = 2 ( subtract 2 from both sides )

y = 0

one solution is (2, 0 )

Is it possible for a triangle to have a 54 degree angle and a 126 degree angle? Explain why or why not.

Answers

Answer:

No

Step-by-step explanation:

Those are only 2 angles and they already equal 180, Every single triangle has a sum of 180 and if you already hit 180 with only 2 out of the 3 points, it's not possible

Answer:

No

Step-by-step explanation:

No, because the 3 angles of a triangle have to add up to 180 degrees. The given 2 angles already add up to 180 degrees leaving no room for the missing angle.    

Suppose two rectangles have the same area. Must they have the same length and width? Explain.​

Answers

Answer:

no

Step-by-step explanation:

Two rectangles having the same area do not need to have the same length and width. The length and width of the rectangle are just factor pairs of the number that is the area. For example, if the area was 12, the side lengths would be 1 and 12, 2 and 6, or 3 and 4. As you can see, those aren't the same lengths and widths. A rectangle may be 1x12 and another may be 3x4, but they have the same area.

Simplify 5 (x + 2) + 2 (x - 5)

Answers

Answer: 7x  let me know if you need an explantion.

if A(2;2) and B(-3;4), determine the equation of AB, in the form y=mx+c​

Answers

Answer:

[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + c[/tex]

In which m is the slope and c is the y-intercept(value of y when x = 0).

A(2;2) and B(-3;4)

When we have two points, the slope is the change in y divided by the change in x. So

Change in y: 4 - 2 = 2

Change in x: -3 - 2 = -5

Slope: [tex]m = \frac{2}{-5} = -\frac{2}{5}[/tex]

So

[tex]y = -\frac{2}{5}x + c[/tex]

A(2;2)

When [tex]x = 2, y = 2[/tex]. We use this to find c.

[tex]y = -\frac{2}{5}x + c[/tex]

[tex]2 = -\frac{2}{5}(2) + c[/tex]

[tex]c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}[/tex]

So

[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]

HELP CAN SOMEONE TELL ME THE ANSWER I CANT GET A BAD GRADE.

Answers

Answer:

34.1cm^2

Step-by-step explanation:

Area of triangle = 1/2 x base x height

=1/2 x6.2 x11

=34.1cm^2

unction f(x) = (x − 4)(x − 2) is shown. On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0). What is the range of the function? all real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all

Answers

9514 1404 393

Answer:

  (d)  all real numbers greater than or equal to -1

Step-by-step explanation:

The y-value of the vertex at (3, -1) is the minimum of the function. All y-values equal to or greater than -1 are in the range of the function.

  y ≥ -1

¿Cuál de las siguientes respuestas es equivalente a 5 km?
(3 puntos)
50.000 metros
500 metros
5.000 metros
0.005 metros​

Answers

Answer:

5

[tex] 5 \times 100 = 500[/tex]

(100 POINTS WILL MARK BRAINLIEST FOR ACTUAL ANWSERS) Write an equation in standard form of the ellipse with vertices (0,-2) and (8,-2), and a focus located at (7,-2)

Answers

Answer:

(x-4)^2 / 16 + (y+2)^2 / 7 = 1 or 7x^2-56x+16y^2+64y+64=0

Step-by-step explanation:

Either one should be right I think. Hope this helps.

Can somebody help, will give brainliest

Answers

9514 1404 393

Answer:

c = 2segments 10, 8, 6 (top down)

Step-by-step explanation:

The sum of top and bottom bases is twice the midsegment.

  (c² +6) +(c² +2) = 2(4c)

  2c² -8c +8 = 0 . . . . . . . . . subtract 8c

  2(c -2)² = 0 . . . . . . . . factor

  c = 2 . . . . . . the value that makes the binomial be zero

The value of c is 2; the segment lengths (top-down) are 10, 8, 6.

help plssssssssssssssssss

Answers

Answer:

There’s two options for each. Look below.

Step-by-step explanation:

Savings: there is no risk of losing any money put into this account

              interest income is the only way to earn money in this type

‘investment: this account may generate income from a variety of sourses.

                  If no deposits or withdrawals are made, money held in this acct..

A large popcorn bag holds four times as much as a small popcorn bag. At the end of a party,

3 1/3 small bags and 2 1/4 large bags were left.


a) How many small bags would the leftover popcorn fill?


b) How many large bags would the leftover popcorn fill?


Please help me fast, also show all work and steps please:)

Answers

Answer:

A]  37 / 3 = 12 1/3 ; B] 37 / 12 = 3 1/12

Step-by-step explanation:

Let small popcorn bag hold = p units popcorn. So, large popcorn bag hold 4 times ie 4p units popcorn.

Left popcorn = 3 1/3 ie 10 / 3 small bags , & 2 1/4 ie 9 / 4 large bags.  

So, total popcorn left = Sum( No. of popcorn in each bag x no of bags) =        [ 10 p / 3 ] +  [ (9 x 4) p / 4 ] = 10p / 3 + 9p  = (10p + 27p) / 3 = 37p / 3

A] Small bags for left popcorn = Total left popcorn / Per small bag popcorn  = ( 37p / 3 ) / (p)  = 37 / 3 = 12 1/3

B] Large bags for left popcorn = Total left popcorn / Per large bag popcorn   =  ( 37p / 3 ) / (4p) = 37 / 12 = 3 1/12  

Using the letters suggested, construct a simple formula:
A car travels a km/h for b km and makes another journey at c km/h for d km.
a. Find the total distance (s km) the car travels
b. Find the formula for the Average Speed of the entire journey.

Answers

Answer:

Speed = distance / time

Time = distance/ Speed

Distance = Speed x time

Help, I need this as quick as possible

Answers

Answer:

multiply the top number by 4 also and what ever answer you get by doing 24×4 place that number over 100 and that number will be your percentage

13 - [(3² x 4) - 30]

Answers

Answer:

7

Step-by-step explanation:

13 - [(3² x 4) - 30]

13 - [(9 x 4) - 30]

13 - (36 - 30)

13-6

7

Answer:

7

Step-by-step explanation:

I think the answer you're looking for is 7

Please help me I've been on this question for like and hour-

Answers

Answer:im so sorry i dont know this one

Step-by-step explanation:but i would try adding subtracting or divison

Answer:

21

Step-by-step explanation:

We can use a proportion to solve this problem

8 : 33.6 = 5 : OP

OP = (33.6 x 5)/8 = 21

Given F(x) = 3x-2 and G(x) = 4-x2. Evaluate 2F(1) - 3G(3).

Answers

Answer:

[tex]9x^{2} -34[/tex]

Step-by-step explanation:

Use the given functions to set up and simplify [tex]2F(1)-3G.3.[/tex]

The point in the middle between 3G and 3 is a multiplication sign btw

Help please this is for an important test

A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.

What is the probability that the first three students all randomly select a pen with blue ink?

A. 1/4
B. 1/27
C. 1/64
D. 1/220

Answers

We have 12 pens in total

P(first three pens are blue with replacement) = 3/12 * 3/12 * 3/12 =

(1/4) * (1/4) * (1/4) =

1/ 64

The required probability  that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.

Given that,
A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total number of sample = 12
Favorable outcome = 3
Required probability  that the first three students all randomly select a pen with blue ink = 3 / 12 × 3 / 12 × 3 / 12
                             = 1 / 64

Thus, the required probability  that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ5


Find the volume of a sphere with a diameter of 6.2 in.

Answers

Answer: its 23 meters

Step-by-step explanation:

The volume of a sphere with a diameter of 6.2 in is 39.72π

What is the volume of the sphere?

The volume of a sphere is defined as the total amount of capacity applied in a sphere that can be calculated using the volume formula for the sphere which is V = (4/3)πr3.

The radius of the sphere is;

[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{6.2}{2}\\\\Radius=3.1[/tex]

The volume of the sphere is;

[tex]\rm Volume =\dfrac{4}{3}\pi r^3\\\\Volume =\dfrac{4}{3}\pi (3.1)^3\\\\Volume = 39.72\pi[/tex]

Hence, the volume of a sphere with a diameter of 6.2 in is 39.72π.

Learn more about sphere here;

https://brainly.com/question/9994313

#SPJ2




Mathematics
10³x10³x10²​

Answers

Answer:

100,000,000/10^8

Step-by-step explanation:

10^3 = 1000

10^3 = 1000

10^2 = 100

Therefore,

= (1000) x (1000) x (100)

= (100,000) x (100)

= 100,000,000

or

= 10^8

I need help ASAP!!!!!! Calculate the slope of the line through the points (-1, 1) and (4, 0).
A. 5x
B.-1/5
C.1/5
D.-5

Answers

Answer:

B. -1/5

Step-by-step explanation:

To find the slope we place (0-1) over (4- (-1))

WILL


GIVE


BRAINLIST



FIND THE OPPOSITE OF THE NUMBER


21

Answers

Answer:

it's

-21

or 12

which one you mean

Item 2

Jake ran 145 meters before lunch and 389 meters after lunch.


How many kilometers did Jake run in all?


A. 0.00534 km


B. 0.0534 km


C. 0.534 km


D. 5.34 km

Answers

145 meters + 389 meters = 534 meters. There are 1000 meters in 1 kilometer so the total kilometers ran is 534/1000 = 0.534 kilometers.

Question 1
Simplify the following arithmetic expression without using a calculator:
1/2 + 7/8 X 49/8 = 7/2 - 3/32
12-1/2 x 271/2​

Answers

Answer:

0 = 0 = 0 = 0 = 0 < 1/

2

< 7/

8

< 7/

2

< 49/

8

< 12 < 271/

2

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1/

2

is less than 7/

8

is less than 7/

2

is less than 49/

8

is less than 12 is less than 271/

2

0/

8

= 0/

8

= 0/

8

= 0/

8

= 0/

8

< 4/

8

< 7/

8

< 28/

8

< 49/

8

< 96/

8

< 1084/

8

Step-by-step explanation:

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