solve for x: tan(180-ø).tan(90+ø)+xcos(90+ø).(cos90-ø) =sinø.(sin180-ø) ​

Answers

Answer 1
Is there a picture that I’m able to look at??
Answer 2

Answer:

Below.

Step-by-step explanation:

tan(180-ø).tan(90+ø)+xcos(90+ø).(cos90-ø) = sinø(sin180-ø)

xcos(90+ø).(cos90-ø) =  sinø(sin180-ø) -  tan(180-ø).tan(90+ø)

x =  (sinø(sin180-ø) -  tan(180-ø).tan(90+ø)) / cos(90+ø).(cos90-ø)

x = - (sin^2ø + tanø(tan(90+ø)) / cos^2ø


Related Questions

Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $3 per mile. The total fare was $33.20, not including the tip

Answers

Answer: 10 miles

Step-by-step explanation:

You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:

3x = 30.00

and then divide both sides by 3:

x = 10

So she traveled 10 miles.

The Taxi ride was 10 miles.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out the miles she traveled.

Then subtract 3.20 from both sides:

3x = 30.00

then divide both sides by 3;

x = 10

Therefore, she traveled 10 miles.

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Nora is a high school basketball player. How many points would Nora score in a game if she made 4 free throws (worth one point each) and 2 three point shots? How many points would Nora score in a game if she made x free throws and y three point shots?

Answers

Answer:

10

Step-by-step explanation:

4(1)+2(3)=10

Nora would score 10 and for  x free throws and y three point shots x + 3y.

What is linear Equation?

When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.

One-variable linear equations and two-variable linear equations exist.

Given

points on free throws = 1

points on 4 free throws = 4x1 = 4

and  points on 2 three point shot = 2x3 = 6

total points are 4 + 6 = 10

and if she made x free throws then points are = 1x

and for y three point shots = 3y

total points for x free and y three point shots

x + 3y

Hence the points are 10 and x + 3y.

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Find the area of the figure shown below:



a
34 square units
b
220 square units
c
480 square units
d
960 square units

Answers

Answer:

.................hshs

Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2. ​

Answers

Answer:

[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]

Step-by-step explanation:

Given

[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex] -- Missing from the question

Required

The behavior of the function around its vertical asymptote at [tex]x = -2[/tex]

[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex]

Expand the numerator

[tex]p(x) = \frac{x^2 + x -3x - 3}{x+2}[/tex]

Factorize

[tex]p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}[/tex]

Factor out x + 1

[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

[tex]x -> -2^{-}[/tex] Say x = -3

[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]

[tex]p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12[/tex]

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

[tex]x->-2^{-}, p(x)->-\infty[/tex]

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: [tex]x>-2[/tex]

Say x = -2.1

[tex]p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1[/tex]

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

[tex]x->-2^{+}, p(x)->-\infty[/tex]

So, the behavior is:

[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]

The awnser to a multiplication problem

Answers

Answer:

where is the problem?

Step-by-step explanation:

where

Helpp plz I will mark brainliestttt

Answers

Answer:

The answer is b

Step-by-step explanation:

The formula for the surface area of rectangular prisms is

A=2(wl+hl+hw)

Now input the length width and hight into the right spots

=2*(2*6.6+3.3*6.6+3.3*2)

And you will end up with the answer

=83.16

Please when answering show your full work. Step-by-step process.

Answers

Answer is picture below. Sorry, they are not in order while being worked at but, they ate in order in the function.

An architect is making a plan for a new circular playground. If the playground needs to be surrounded by a fence and the diameter of the playground is 25 meters, how much fencing needs to go up?

Answers

Answer:

78.54 m

Step-by-step explanation:

To obtain how much circular fence, we obtain the Circumference of the circular playground.

The Circumference of a circle, C = 2*pi*r

pi = 3.14 ; r = diameter / 2 = 25 /2 = 12.5 m

C = 2 * 3.14 * 12.5

C = 78.539816

Hence, the fencing which need to go up is ;

78.54 m

) The diagram shows a quadrant of a circle . If the curved edge is 15 cm long, what is the length of a straight edge?

Answers

Answer:

9.55 cm

Step-by-step explanation:

A quadrant of a circle is 1/4 of a circle.

Since the curved edge is 15 cm, a full circle would be 60 inches.

60/Pi = diameter

diameter = 60/3.14 = 19.11 cm

diameter/2 = radius

radius = 19.22/2 = 9.55 cm which is the length of a straight edge.

The base of a triangular pyramid is 21 inches squared. The volume is 63 inches cubed. What is the height of the pyramid?

Answers

Answer:

9

Step-by-step explanation:

So the formula for a triangular pyramid is v=1/3bh

you plug in the values and you get 63=1/3(21)(h) and since you are finding the height, you get h=63*3/21

and then you check answers with

63=1/3(21)(9) which is true so the height is 9

The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.

Answers

Answer:

59.85

Step-by-step explanation:

The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 70

σ is the population standard deviation = 7

z = -1.45

Hence:

-1.45 = x - 70/7

Cross Multiply

-1.45 × 7 = x - 70

-10.15 = x - 70

x = -10.15 + 70

x = 59.85

Nirvany went on a 65,000 m hike. She divided the distance traveled evenly over 5 days. Approximately how many miles did Nirvany walk each day?

Answers

Answer:

13000m

Step-by-step explanation:

Given data

Total distance travelled=  65,000

Number of days= 5 days

Hence the distance covered per day is

= 65,000/5

=13000m

Therefore the distance covered per day is 13000m

Expand using suitable identity ( 3u + 5v )∧3

Answers

Answer:

Use symbolab

Step-by-step explanation:

Pls help what do I put for the answer

Answers

0.89x because x is made into 1 (1-0.11)x=0.89

Marty has a driveway that is 200 feet long. The tires on her car have a diameter of 18 inches. What is the fewest number of tire rotations a tire will make tot travel the entire distance of the driveway?​

Answers

The the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

It is given that the driveway that is 200 feet long and the tire diameter is 18 inches.

It is required to find the fewest number of tire rotations a tire will make to travel the entire distance of the driveway.

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

Driveway length = 200 feet

Diameter of the tire = 10 inches

For converting it to feet divide by 12.

Now the diameter of tire = 18/12 = 1.5 feet

Radius of the tire = 0.75 feet

We know the perimeter of the circle:

[tex]\rm P = 2\pi r[/tex]

P = 2(π)(0.75)

P = 4.71 feet   ( π =3.14 and P = 0.75)

[tex]\rm number \ of \ tire \ rotations = \frac{Driveway \ length}{Perimeter \ of tire}[/tex]

[tex]= \frac{200}{4.71}[/tex]

Number of tire rotation = 42.462 ≈ 42

Thus, the the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

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Gas from a local station costs $2.85 per gallon (in US dollars). Tara's car gets 13.4 kilometers to the liter.

About how much will it cost Tara to drive 640 kilometers if she buys the gas from that local gas station?

Answers

Answer:

$250.8

Step-by-step explanation:

13.4 = $2.85

13.4 x 15 = 111.0

111.0 = $42.75

111.0 x 6 = 666.0

666.0 - 26.0 = 640.0

$42.75 x 6 = $256.5

$2.85 x 2 = $5.07

$256.5 - $5.07 = $250.8

not gona lie this took forever lol

Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!

The total cost of 640 liters of gas is $35.91.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Gas from a local station costs $2.85 per gallon (in US dollars).

We know that, 1 gallon = 3.785 liters

Tara's car gets 13.4 kilometers to the liter.

Number of liters of gas = 640/13.4

= 47.76 liters

Number of gallons = 47.76/3.785

= 12.6 gallons

Total cost = 12.6×2.85

= $35.91

Therefore, the total cost of 640 liters of gas is $35.91.

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HELP ME PLSS BRAINIEST

Answers

(x-7)^2 = 12
Explaination: it’s the answer trust me on this one :D
I just need points but u already got ur answer so yeah have a nice day :)

What is the solution of the system?
2x + 5y = 14
2 + 3y = 16

pls help

Answers

Answer:

x=-14/3,y=14/3 but if there is x at the second wan.then,x=19/2,y=-1

There are 32 females in a dance recital. This is the ratio men to women 3:8. How many men are at the dance recital????

Answers

Answer:

12

Step-by-step explanation:

Answer:

there are 12 men

Step-by-step explanation:

men:3×4=12

woman:8×4=32

There are 15 counters. One-third of the counters are yellow. How many
counters are yellow? *

Answers

Answer:

3

Step-by-step explanation:

15*1/5= 3

Solve the following equation using the quadratic formula.
2x² + 5x – 42 = 0
Select all solutions that apply.
x = 1.5
x= -4
OX= 3.5
x = -6

Answers

X is Equal to 3.5 :))

Jack earned $ 172,874 in 6 months. On an average, about how much did he earn each month?

Answers

Answer:

172,872÷6=28,812.33 I believe this is the answer

The points (-1,r) and (11, -1) lie on a line with slope -3/4
Find the missing coordinate r.

Answers

Answer:

8

Step-by-step explanation:

y = (-3/4)x + c

Sub (11,-1) into the equtaion

-1 = (-3/4)(11) + c

c = 29/4

y = (-3/4)x + 29/4

when x = -1,

y = (-3/4)(-1) + 29/4

y = 8

r = 8

what is the greatest common factor of 12 and 26

Answers

Answer:

2

Step-by-step explanation:

The greatest common factor is 2

Answer:

2

Step-by-step explanation:

2 is the greatest number that will go into both 12 and 26.

Hope this helps

- Please mark brainliest :)

A 22.5 cm straw fits diagonally inside an 18 cm high can of soft drink what is the radius of the can

Answers

Answer:

6.75cm

Step-by-step explanation:

The straw fits diagonally inside the can so it makes a right angled triangle with height and base of the can ( which is the diameter of the can)

So, hypotenuse = length of straw = 22.5cm

perpendicular = 18cm

base = diameter of can(d)

Using pythagoras theorem

h² = p² + b²

(22.5)² = 18² + d²

506.25 = 324 + d²

d² = 506.25 - 324

d² = 182.25

d = 13.5cm

Now radius = d/2 = 13.5/2 = 6.75cm

If a =3, b = 2 and c = 5, solve the following algebraic expressions: (3 marks)

a) 3c + 5 - b
b) b(4 - 2) + c
c) 4a - (2c)

Answers

Answer:

A) 18

B)9

C)-2

Step-by-step explanation:

Replace the a,b or c with the give number. So let’s say it’s says 2 + a. It would be 2+3.

help plz its worth 100 points

Answers

Answer:

Step-by-step explanation:

hi, use y=mx+b to help solve

the equation is y= 6x+30, 6 being the cost per t-shirt and 30 being the fee

substitute x for the values on the left in the table. for example, y=0x+30 would give the total cost of 0 t-shirts 30 dollars

for some reson i cant see it

Type your answer in the box provided. Make sure to use complete sentences.

Real World: Choose ONE of the following quadratic equations to solve. State your method of solving, giving your reasoning for why you chose that method. Show all work, and put your final answers in context.

A person walking across a bridge accidentally drops an orange into the river below from a height of 140 ft. The equation 0=−x2+7x+18 gives the relationship between how many seconds, x, have passed when the orange hits the water. In how many seconds will the orange hit the water?
A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?
Things you MUST include: (1 point each for a total of 5 points)

Method of solving the quadratic.
Reasoning for choosing this method.
All work to solve the quadratic equation.
The two mathematical answers to the equation.
The answer to the question asked, based on which answer is reasonable.
You may either type your answer in the text box below OR upload a file, picture, or scan of handwritten answers. All files should be saved using the following template: "Last Name_First Name_Assignment Name_Question Number." Refer to Orientation for help with file uploads.

Answers

Answer:

A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?

Step-by-step explanation:

h = -16t^2 + 80   Stick hits the ground when h = 0:

0 = -16t^2 + 80    

16t^2 = 80

t^2 = 80/16 = 5

t = POSITIVE root 5 (due to the real world nature of the problem)

t approximately 2.236 seconds.

========================================

Graph is a downward opening parabola with h-intercept of 80, t-intercept(s) of sqrt(5), - sqrt(5)

Symmetric about h-axis, though I would only graph on the right side of the h-axis since  

that is where t >= 0.

Which statements are true about the graph?

Select all that apply.

Answers

Where is the graph dude?

To create a pattern with Legos, Jerry uses 5 green Legos for every 3 blue Legos. If he used 35 green Legos in the pattern, what is the TOTAL amount of Legos he used?
A.43 legos in all
B.8 legos in all
C.56 legos in all
D.21 legos in all

Answers

Answer:

56 legos in all

Step-by-step explanation:

35/5=7

7*3=21

21+35=56

Answer:

well i have legos in rl so i think the answer is C. or 56 legos in all

Step-by-step explanation:

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