In ΔVWX, x = 110 inches, v = 700 inches and ∠W=9°. Find ∠X, to the nearest degree.

Answers

Answer 1

The value of ∠X in triangle VWX ( ΔVWX) to the nearest degree is 2 degrees.

The angle X can be found using the cosine rule.

Cosine rule

w² = x² + v² - 2xv cos W

w² = 110² + 700² - 2 × 110 × 700 cos 9°

w² = 12100 + 490000 - 154000 cos 9°

w² = 502100 - 154000 × 0.98768834059

w² = 502100 - 152104.004452

w = √349995.995548

w = 591.604593921

w = 591.60 inches

Using sine rule, let's find ∠X

Sine rule

110 / sin X = 591.60 / sin 9°

Therefore,

110 sin 9 = 591.60 sin X

sin X = 110 sin 9 / 591.60

sin X = 110 × 0.15643446504 / 591.60

sin X = 17.2077911544 / 591.60

X= sin⁻¹ 0.02908686807

∠X = 1.66678986656

∠X = 2 degrees

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Related Questions

The demand function Q and cost function C(Q) of a commodity are given by the equations \[ Q = 20 - 0{,}01P\]
C(Q)=60+6Q,
where P and Q are the price and quantity, respectively. The total revenue function (TR) in terms of P is

Answers

The total revenue of the function is the product of the quantity and the price

The total revenue in terms of P is TR = 20P - 0.01P^2

How to determine the total revenue?

The demand and the cost functions are given as:

Quantity function, Q = 20 - 0.01P

Cost function, C(Q)=60+6Q

The total revenue is calculated as:

TR = Q * P

Substitute Q = 20 - 0.01P in the above equation

TR = P * [20 - 0.01P]

Evaluate the product

TR = 20P - 0.01P^2

Hence, the total revenue in terms of P is TR = 20P - 0.01P^2

Read more about total revenue at:

https://brainly.com/question/25623677

1/3 (3x)(2x-5)(2x-5)=125

Answers

Answer:

the answer is shown below

Step-by-step explanation:

hope this helps

have an awesome day -TJ

50
The graph shows a proportional relationship between the
number of kilometers traveled by a bicycle (y) and the number of
minutes (x).
45
40
35
30
Distance traveled (km)
What is the unit rate, expressed in kilometers per minute?
25
20
O 0.30 km/min
15
(40, 12)
O 0.33 km/min
03.10 km/min
->
5 10 15 20 25 30 35 40 45 50
Time (min)
3.33 km/min
1
2
3
4
5
6
7
8
Next
9
10

Answers

Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.

What are the zeros of this function?

A. x=0 and x=6
B. x=0 and x= -9
C. x=0 and x= -6
D. x=3 and x= -9

Answers

Answer:

A

Step-by-step explanation:

The zeros are the roots or x-intercepts

They are located at coordinate points (0, 0) and (6, 0)

This means the answer is A

Hope it makes sense!

Answer:

A. x = 0 and x = 6

Step-by-step explanation:

So, the zeroes of a quadratic are the parts of it that touch the x-axis. When you find those parts, take their x value and you will get the zero.

So, in this parabola, it touches the x-axis at (0, 0) and (6, 0).

The x-values of these are 0 and 6, respectively.

The left and right y-axes are in opposite directions because:.

Answers

A high proportion of one allele of a gene indicates a low proportion of the other.

Find the next three terms of the sequence 2000 ,200, 20 … and write the term to term rule.​

Answers

Answer:

2 is the next number in the sequence

Step-by-step explanation:

in this pattern, you go down by one decimal spot ( zero)

this is a geometric sequence since there is a common ratio between each term.

A square on the board is chosen at random. Find the probability as a fraction in simplest form

Answers

The probability of selecting a square is the likelihood of the square

The probability that the square selected is a multiples of 3 not less than 10 is 3/20

How to determine the probability?

The given parameters are:

Squares = 20

Multiples of 3 not less than 10 = 3

Stripped balloons = 17

The probability that the square selected is a multiples of 3 not less than 10 is calculated as:

P = n(Multiples of 3 not less than 10)/Total

This gives

P = 3/20

Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20

Read more about probability at:

https://brainly.com/question/251701

How many flowers, spaced every 4 in., are needed to surround a circular garden with a 150-ft radius? Use 3.15 for (pie symbol)

Answers

Answer:

2835 flowers

Step-by-step explanation:

We need the circumference of the garden, with it's 150' radius.  Circumference, C,  is given by:  C = 2[tex]\pi[/tex]r.  I'll use [tex]\pi[/tex]=3.15, as you have requested, but it is actually closer to 3.14.

C = 2*(3.15)*150'

C = 945'

4 inches = 1/3 foot.

Every 1/3 of a foot of the circumference will have a flower.  We can make this a conversion factor:   3 flowers/foot

Flowers = (945')*( 3 flowers/foot) = 2835 flowers

Element X decays radioactively with a half life of 8 minutes. If there are 170
a
grams of Element X, how long, to the nearest tenth of a minute, would it take
the element to decay to 5 grams?
y = a(.5)

Answers

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.

How to analyze a radioactive decay case

Let suppose that element X experiments a simple radioactive decay, that is, that the element X becomes gradually into another less radioactive stable element in time.

We know that decay behaves exponentially and follows this model:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]   (1)

Where:

[tex]m_{o}[/tex] - Initial mass, in gramst - Time, in minutesτ - Time constant, in minutesm(t) - Current mass, in grams

The time constant can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes, through the following expression:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]   (2)

If we know that [tex]t_{1/2} = 8\,min[/tex], [tex]m_{o} = 170\,g[/tex] and [tex]m(t) = 5\,g[/tex], then the time needed for the decay is:

τ ≈ 11.541 min

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

t ≈ 40.698 min

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams. [tex]\blacksquare[/tex]

To learn more on radioactive decay, we kindly invite to check this verified question: https://brainly.com/question/27156663

EASY GIVING BRAINLIEST JUST GRAPH TO FIND ANSWER While warming up for a game, two basketball players shoot balls in parabolic paths. The path of the first player's ball can be represented by the function g(x) = –2x2 + 13x + 7, where x represents the distance from the coach. The path of the second player's ball can be represented by the function h(x) = –x2 + 4x + 21.

Part A: Find the distances in which the two basketball paths will cross. Show all necessary calculations.

Answers

Answer:

  2 ft, 7 ft

Step-by-step explanation:

We are interested in the values of x such that g(x) = h(x). These will be solutions of the difference g(x) -h(x) = 0. Hence the x-intercepts of a graph of g(x) -h(x) will be solutions to the problem.

__

The graph shows the difference between the paths will be zero at distances of 2 feet and 7 feet.

6. The circle in the center of basketball court is being painted. The circle has a radius of 9 feet. What is the circumference of the circle? Leave your solution in terms of pi.​

Answers

Answer:

18pi

Step-by-step explanation:

Circumference = 2 Pi R

c = 2 x 9 x Pi

c = 18Pi

Use the distributive property to write an expression equivalent to each of the following x(-2+3)

Answers

Hey there!

x(-2x + 3)

= 1x(-2x + 3)

DISTRIBUTE 1x WITHIN the PARENTHESES

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

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

= -2x^2 + 3x


Therefore, your answer is: -2x^2 + 3x


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

A box is in the shape of an equilateral triangular prism. if the box is to be covered with paper on its lateral sides, how many square inches of paper are needed?

Answers

The total surface area of the triangular prism that has a height of h and the side length of a is given below.

[tex]\rm a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]

What is a triangular prism?

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A box is in the shape of an equilateral triangular prism.

If the box is to be covered with paper on its lateral sides.

Let a be the side length of the equilateral triangle and h be the height of the prism.

Then the surface area of the triangular prism will be

Surface area = 2 × area of triangle + 3 × area of the rectangle

The area of the triangle will be

[tex]\rm Area\ of\ triangle = \dfrac{\sqrt{3}a^2}{4}[/tex]

The area of the rectangle will be

[tex]\rm Area \ of \ rectangle = a \ h[/tex]

Then the total surface area will be

[tex]\rm Surface\ area = 2 \times \dfrac{\sqrt3 a^2 }{4} + 3 ah\\\\\\Surface\ area = a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]

More about the triangular prism link is given below.

https://brainly.com/question/21308574

Answer:

72 square inches

Step-by-step explanation:

The price of a cup of coffee has risen to 2.35$ today , yesterday’s price was 2.20$ . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Answer:

3.1%

Step-by-step explanation:

2.20/2.35 = 3.1%

Have an amazing day!!

Please rate an dmark brainliest!!

Kim works at an airport on the runway. She is standing and watching an airplane take off from the runway as shown below.

When the airplane is 1,100 feet above the ground, the distance to the airplane from where Kim is standing is 3,850 feet. What is the approximate angle of elevation to the airplane?

Answers

Hence the approximate angle of elevation is 17°

Calculate the mean and median of: 202, 199, 223, 198, 223, 223, 301, 199.

Answers

Answer:

mean =225.25, median= 212.5

Step-by-step explanation:

You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5

Pls give brainliest ily<3

- 13/14 divided -26/4 im soo confujsed with this lesson btw this is for math review just
so u know

Answers

Answer= 0.00892857142

Explanation= it is either that or some whole number with half’s you didn’t give a picture or real detail so it is hard to know what grade level you would be at because it could be something totally different it it was in a certain lesson anyways I hope this helped!

HELP ME PLEASE
I HATE THE BOTS

How many times more is 2 ^ 10 than 2^ 6
Answer Choices
12
16
8

Answers

Answer:

16

Step-by-step explanation:

Evaluate the two in order to compare them.

2^10=2*2*2*2*2*2*2*2*2*2=1024

2^6=2*2*2*2*2*2=64

The question says how many more TIMES. This tells us that we need to see how many times does 64 go into 1024. To do this, divide 1024/64=16

The answer is 16! Hope this helps ^^

If the value 0.125 is rewritten as X%, what is the value of ?

Answers

the value of 0.125 should be rewritten as the value of 12.5%

Answer:

12.5%

Step-by-step explanation:

0.25  * 100

= 12.5%

Please Help! Which of the following methods is not used to prove triangles are congruent?

Answers

Answer:

AAA is not a congruency postulate because it could only prove that triangles are similar, not congruent.

Step-by-step explanation:

1/4+x=5 1/8
What is x?
Please, Please, Please, Please help me!
Will mark Brainliest!

Answers

Answer:

4 7/8

Step-by-step explanation:

First we need to gte the denominators the same!

So we multiply the 1/4 by 2

1/4 x 2 = 2/8

Now we subtract the 2/8 from 5 1/8 to get our answer :)

5 1/8 - 2/8 = 4 7/8

Your final answer will be 4 7/8 :)

Have a great day!

Please rate and mark brainliest!

11. What is the solution of this equation
3(2-x)=-(4+3x)
A
-
5
3
В.
5
3
C 2
D. The equation has no solution.

Answers

Answer:

D I think

Step-by-step explanation:

if you do the multiplying you get 6-3x= -4 + (-3x) and then the -3x would cross out leaving 6=-4 which isnt true so D

Answer D

it is 6-3x = -4 -3x then when you add 3 x to both sides so you can move the variables to either side it cancels out on both sides so 6 = -4 meaning there is no solution

6. this solid has curved sides. all cross sections parallel to the base are squares measuring 3 units on each side. the height from the base to the top is 5 units. what is the volume of this solid ?

nooo websites !!!

Answers

The volume of the given solid prism is: 3 × 3 × 5 = 45 units³

What is the Volume of a Solid prism?

The volume of any solid prism = base area of prism × height of the prism.

Given the following dimensions of the solid prism:

Height of the solid prism = 5 unitsBase area = 3 × 3 = 9 units²

Volume of the solid prism = 9 × 5 = 45 units³

Learn more about volume of solid prism on:

https://brainly.com/question/5793407

How many times greater is the value of 4 in 547 than the value of the 4 and 84​

Answers

Answer:

10

Step-by-step explanation:

How many times greater is the value of 4 in 547 than the value of the 4 and 84​?

547: 500 + 40 + 7

5 is in the hundreds place

4 is in the tens place

7 is in the ones place

84: 80 + 4

8 is in the tens place

4 is in the ones place

The value of 4 in 547 is 10 times greater than the value of 4 in 84.

Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.

Also, 4 * 10 = 40

Hope this helps!

a company’s profit of 18000 is shared by 2 directors and 24 employees 1-3 of the profit is shared equally by 2 directors of the company

Answers

Using proportions, it is found that:

Each director gets 6000.Each employee gets 500.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, the directors share one-third of the profit, hence:

18000/3 = 6000

6000/2 = 3000.

That is, each director gets 6000.

The remaining 18000 - 6000 = 12000 will be shared equally by the 24 employees, hence:

12000/24 = 500

Each employee gets 500.

More can be learned about proportions at https://brainly.com/question/24372153

Will give brainliest, thanks, and 5 stars! LOTS OF POINTS! 50 POINTS!

I need help with these questions! Please help me. The choices are all true/false.

Please help me!!!!!!

Please provide in depth explanation too!!

Answers

Answer in order:

False

True

False

False

False

False

False

True

True

Step-by-step explanation:

All of the solutions to the equation[tex]3x^2 - 12 = 0[/tex]are x = 12 and x = -12

Solve:

Common factor - [tex]3(x^2-4)=0[/tex]

Divide both sides

[tex]x^2-4=0[/tex]

Use the quadratic formula

[tex]x=\sqrt{4,x}=\sqrt{-4[/tex]

x = 2, x = -2

Thus, This is false..

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

There are two unique solutions to the equations (x-3)^2 = 16

one variable in matrix = one possible value.

Therefore, x = 7, x = -1

Hence this is True

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

The solutions for the equation 2(x-3)^2-18 = 0 are x = 6 and x = 0

[tex]2x^3-18x^2+54x-72=0[/tex]

[tex]x=5.080084[/tex]

Hence this is false

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

The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7

Add both sides by 8

2(x-5)^2-8+8=0+8

2(x-5)^2=8

(x-5)^2=4

x = 7, x = 3

Hence, this is false

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

The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8

[tex](x+3)^2=17[/tex]

[tex]x=\sqrt{17-3,}=-\sqrt{17}-3[/tex]

Hence this is false.

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

The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4

[tex](2x-1)^2=9[/tex]

x=2, x = -1

Hence this is false.

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

The only solution for equation (2x-1)^2-49=0 is x = 4

[tex](2x-1)^2=49[/tex]

x = 4, x = -3

Hence, this is false

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

The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1

[tex]3(x+2)^2=3[/tex]

[tex](x+2)^2=1[/tex]

x = -1, x = -3

Hence, this is true

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

The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x  = -6

Add 180 to both sides

[tex]5x^2-180+180=0+180[/tex]

[tex]5x^2 = 180[/tex]

[tex]x^2 = 36[/tex]

[tex]x=\sqrt{36},x=-\sqrt{36}[/tex]

x = 6, x = -6

Hence, this is true.

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

[RevyBreeze]

What is the surface area of right rectangular prism with dimensions of
4 centimeters by 4 centimeters by 6 centimeters?
6 cm
4 cm
4cm

Help asap!

Answers

Answer:

S.A of a rectangular prism is 2lh+2lw+2hw

2(4x6)+2(4×4)+2(6×4)

2(24)+2(16)+2(24)

48+32+48= 128cm²

Help with any questions

Answers

1.) right triangle, as it has a right angle

2.) scalene triangle no equal sides

hope this helps

can you please answer this, please show work

Answers

Answer:

6:8

Step-by-step explanation:

There are 6 squares and there are 8 triangles, just count them.

Answer:

3 : 4

Step-by-step explanation:

squares : triangles = 6 : 8 ( divide both parts by 2 )

                              = 3 : 4 ← in simplest form

Write a decimal that is greater than 3.3 and less than 3.73

Answers

Answer: The answer can be 3.4, 3.5, 3.6, and even 3.7

Explain:

It is all because if you got an answer that you need to be between into it, you can start like this. For example: What number is between 3 and 4, well it's 3.5. So do that with the decimal, it's like the same thing.

What if it was between 3.4 and 3.6, than it's anywhere 3.51, like that, or 3.5, to make it simple.

I hope that was helpful

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