Find the side labeled x.

Find The Side Labeled X.

Answers

Answer 1

Answer:

4√3

Step-by-step explanation:

Hello!

This is a 30° 60° 90° because it has a 90° angle, a 30° angle, and the missing angle is 60° (sum of angles in a triangle is 180°). This triangle has special properties.

In a 30°-60°-90° triangle, the leg opposite 30° is always half the hypotenuse.

This means that the hypotenuse would be 2 times 4, or 8.

The leg opposite to 60° in a right triangle of this sort is the length of a leg multiplied by √3.

So the measure of x is 4√3.

An image is attached for your reference.

Find The Side Labeled X.
Answer 2

The value of side labeled x using Trigonometric ratio is  [tex]{4}{\sqrt 3}[/tex].unit.

Given:

Angle = 30

Perpendicular or opposite side= 4

Using Trigonometric ratio

tan 30 = Opposite side / Adjacent side

Substituting Opposite side= 4 and Adjacent side = 4 in above ratio

So, tan 30 = 4 / x

As, the value of tan 30 = [tex]\dfrac{1}{\sqrt 3}[/tex] then

tan 30 = 4 / x

[tex]\dfrac{1}{\sqrt 3}[/tex]  = [tex]\dfrac{4}{x}[/tex]

solving for x

x = [tex]{4}{\sqrt 3}[/tex]

Thus, the value of x is [tex]{4}{\sqrt 3}[/tex].

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Related Questions

Can you please help me quickly!!

Answers

Answer:

to struggle to succeed when chances are bad

Step-by-step explanation:

She got nervous and froze when she thought she was going to lose.

After eating at a restaurant, Mr. Jackson’s bill before tax is $42.50 The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter based on the pre-tax amount. Part A. How much is the tax?

Answers

Answer:

$3.40

Step-by-step explanation:

Look at image above...

HELP ASAP PLEASE
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A computer was purchased at a sale at a discount of 15%. If $688.50 was paid for it,
and this price includes 8% sales tax, then what was the original price without tax or
discount?

Answers

Based on the discount rate and the sales tax, the original price of the computer was $750.

What was the original price?

First find the price before tax. This can be found as:

= Computer price / (1 + tax)

= 688.50 / (1 + 8%)

= $637.50

Then find the price without the discount as:

= Price without tax / (1 - discount rate)

= 637.50 / (1 - 15%)

= $750

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Steve bought 24 ounces of his favorite cereal. He put equal amounts of the cereal in 4 containers. How many ounces did he put in each container?​

Answers

The answer is
24 devidid by 4 is 6

Simplify the following.
-
1. 3m - 2n + 5m
2. -b - b + 5
3. 50 - 9 - 8C + 5
-

Answers

Answer:

1.[tex]8m-2n[/tex]
2.[tex]-2b+5[/tex]
3.[tex]-8c+46[/tex]

Step-by-step explanation:

Given the following questions:

[tex]3m-2n+5m[/tex]
[tex]-b-b+5[/tex]
[tex]50-9-8c+5[/tex]

To simplify the following we are going to have to regroup and combine like terms which means we are going to use inverse of operations on terms with similar variables.

Question one:
[tex]3m-2n+5m[/tex]
[tex]3m-2n+5m=3m+5m-2n[/tex]
[tex]3m+5m-2n[/tex]
[tex]3m+5m=8m[/tex]
[tex]=8m-2n[/tex]

Question two:
[tex]-b-b+5[/tex]
[tex]-b-b=-b+-b=-2b[/tex]
[tex]=-2b+5[/tex]

Question three:
[tex]50-9-8c+5[/tex]
[tex]50-9-8c+5=-8c+50-9+5[/tex]
[tex]-8c+50-9+5[/tex]
[tex]50-9=41[/tex]
[tex]-8c+41+5[/tex]
[tex]41+5=46[/tex]
[tex]=-8c+46[/tex]

Which means your answers are "8m - 2n, -2b + 5, and -8c + 46."

Hope this helps.

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays? StartFraction 81 Over 7 EndFraction feet 28 feet 45 feet 63 feet.

Answers

The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

What is proportional segment between parallel lines?

In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.

Due to this similar triangle the segment formed by the parallel line are proportional segment.

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.

The map of the zoo is attached below.

The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.

Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,

[tex]\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft[/tex]

Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

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Answer:

28

Step-by-step explanation:

Did on edge 2022

19
The diagram shows a quadrilateral JKLM.
7 cm
K
J
4.5 cm
M
15 cm
L
Work out the size of angle KLM.
Give your answer correct to 3 significant figures.

Answers

Answer:

Step-by-step explanation:

Your friend operates a business and has the following demand curve. Complete the table, and use the information provided to find your friend’s profit-maximizing price and level of output

Answers

A demand curve shows the quantity demanded of a product at each price.

What is a demand curve?

Your information is incomplete as the table isn't given. Therefore, an overview will be given.

A demand curve simply means a graphical representation of the relationship between price and quantity demanded.

In this case, a demand curve shows the quantity demanded of a product at each price. The profit maximizing price is when the marginal cost equals marginal revenue.

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The profit-maximizing price is when the marginal cost equals marginal revenue.

An individual’s utility-maximizing choices can lead to a demand curve.

What is the demand curve?

Demand can be defined as the total amount of goods or services that consumers are willing and able to purchase at a given price.

In Economics, there are primarily two (2) factors that affect the availability and the price at which goods and services are sold or provided, these are demand and supply.

The marginal decision rule—generally produce downward-sloping demand curves.

This section shows how an individual’s utility-maximizing choices can lead to a demand curve.

Hence, The profit-maximizing price is when the marginal cost equals marginal revenue.

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25 pts
A rectangular storage box is 12 in.
wide, 15 in. long, and 9 in. high. How
many square inches of colored paper
are needed to cover the surface of
the box?

Answers

Answer:

1,620

Step-by-step explanation:

L x W x H

L = 15

W = 12

H = 9

15 x 12 = 180

180 x 9 = 1620

A bag has 11 blue marbles 23 red marbles if you draw marbles without replacemtn what si the probability that you draw no blue marbel

Answers

Answer: 66% or 67% if you round it up

Step-by-step explanation: Add 23 and 11 together: 34

I'm not sure how many marbles you drew so I'll say subtract 1: 33

22/33 =.6 repeating.67 if you round it up or 67%

The probability that you draw no blue marble is 23/11.

What is the probability?

Probability is a branch of math that deals with finding out the likelihood of the occurrence of an event.

A bag has 11 blue marbles and 23 red marbles.

Total number of marbles = 11 + 23 = 34

The probability of picking blue marbles is;

[tex]\rm Probability=\dfrac{Blue \ marbles }{Total \ marbles}\\\\Proability = \dfrac{11}{34}[/tex]

The probability that you draw no blue marbel IS;

[tex]\rm Probabilty = 1- Blue \ marable\\\\Probability = 1-\dfrac{11}{34}\\\\Probability=\dfrac{34-11}{11}\\\\Probability =\dfrac{23}{11}[/tex]

Hence, the probability that you draw no blue marble is 23/11.

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15 POINTS
Identify the center and radius of a circle with equation (x-4)^2 + (Y+2)^2 =9

A.) Center at (4,2); radius: 9
B.) Center at (-4,2); radius: 9
C.) Center at (4,-2); radius: 3
D.) Center at (-4, 2); radius: 3

Answers

The basic formula for a circle is (x - h)^2 + (y - k)^2 = r^2, where the center is (h, k) and the radius is found by taking the square root.

h = 4

k = -2

Center: (4, -2)

square root of 9 = 3

Radius: 3

Correct Answer: C

Hope this helps!

Center (6 , -5) and radius = 3

What is the value of the expression when n = 3?

-2n(5+n-83n)

Answers

-2x3 (5+3-83x3) then just put that in a calculator or do it in your head

You need to mark a fifth teen foot beam into five equal segments .how long is each segment ?

Answers

Answer: 3

Step-by-step:

15/5=3

Each segment of a fifteen-foot beam divided into five equal parts is 3 feet long.

Since acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

To find out the length of each segment of a fifteen-foot beam divided into five equal parts, we have to divide the total length of the beam by the number of segments it is being divided into.

We can do this using the division operation as shown below:

15 ÷ 5 = 3

Therefore, we can conclude that each segment of a fifteen-foot beam divided into five equal parts is 3 feet long.

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please help me please

Answers

Answer:

2/3

Step-by-step explanation:

Looking at the graph, it looks like the line goes through (6,10) and (-6,-8). We can "subtract" the points like so:

(6-(-6))/(10-(-8))

=12/18

=2/3

You can remember this trick as "rise over run".

I hope this solution helped you. Happy mathing!

Derek and his friends drove from San Francisco to Lake Tahoe to go skiing. The average speed that they traveled during each leg of the trip is shown on the map. They drove 30 min in the city, 3 h on the highway, and 30 min up the mountain.
Write a piecewise function to represent the distance that Derek traveled during his four hour trip.

Answers

The piecewise function of the travel of the car is now described in detail:

[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]  

[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex],  [tex]0.5\le t < 3.5[/tex]  

[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex],  [tex]3.5\le t \le 4[/tex]  

How to build a piecewise function

A piecewise function is a group of functions working on certain intervals, which corresponds to three expressions in this case. Likewise, the car moves at constant speed and the resulting distance is equal to the sum of initial position ([tex]x_{o}[/tex]), in miles, and the product of speed (v), in miles per hour, and time (t), in hours.

Then, the piecewise function of the travel of the car is now described in detail:

[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]   (1)

[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex],  [tex]0.5\le t < 3.5[/tex]   (2)

[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex],  [tex]3.5\le t \le 4[/tex]    (3)

Remark

The map with key information of velocities is missing. We proceed to show the required information:

City - 30 miles per hour

Highway - 60 miles per hour

Mountain - 45 miles per hour

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Please help!! <3
Thanks in advance!!​

Answers

This is the answer!!
Hope it helps you ♡

Find the quotient of 2. 5 × 10-3 and 7. 1 × 106. What can be concluded about the solution? Check all that apply. The E indicates that the solution is given in scientific notation. The coefficient is 3. 5211. The exponent is 10. The solution can be written in scientific notation as 3. 5211 × 10-10. The solution is 35,211,000,000.

Answers

Scientific notation is the way through which a very small or a very large number can be written in shorthand. The quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.

What are Scientific notations?

Scientific notation is the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

We know we need to divide 2.5×10⁻³ by 7.1×10⁷. Therefore, if we divide the two numbers the solution will be,

[tex]\dfrac{2.5 \times 10^{-3}}{7.1 \times 10^7}\\\\ = \dfrac{2.5}{7.1} \times 10^{-3-7}\\\\= 0.35211 \times 10^{-10}\\\\= 3.5211 \times 10^{-11}[/tex]

Hence, the quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.

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Answer:

A. The E indicates that the solution is given in scientific notation.

B. The coefficient is 3.5211.

D. The solution can be written in scientific notation as 3.5211 × 10^-10

Step-by-step explanation:

Edge 2023

Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%

Answers

make me brainliest to the bones.

Chloe is installing new windows in her house and needs to determine the amount of sealant she will need around the outside edge of each rectangular window. Each of the windows has an area of 2,160 Inches squared with a length of 60 inches. What is the perimeter of each window?

To find the width of each window, use the formula w = StartFraction A Over l EndFraction, where w represents the width, A represents the area, and l represents the length. To find the perimeter, use the formula P = 2 l + 2 w, where P represents the perimeter, l represents the length, and w represents the width.

Answers

Answer:

240

Step-by-step explanation:

because each side is 60 inches so do 60x4 and you get 240

Answer:

Option D!

Step-by-step explanation:

Hope this helps.

Damian owns a small business selling bagels. he knows that in the last week 40 customers paid cash, 66 customers used a debit card, and 18 customers used a credit card.
if next week, he is expecting 300 customers, about how many would you expect to pay with cash? round your answer to the nearest whole number.

Answers

Ddg went to space he is the first rapper to go to space

5.5x = 11? Please help. :c

Answers

Answer:

The value x would equal to 2
11 divided by 5.5 = 2
5.5 x 2 =11



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

You need the x to be alone so to do that you divide both sides by 5.5 which gives you

x = 2

5-2x > 3x-10

Solve the inequality

Answers

Answer:x<3 that shout be right. I calculated it.

Step-by-step explanation:

Can anyone help me with this?

Answers

Answer:

-5 ; -3 ; -1.5 ; 0 ; 11 (**Quotient order**) -30/6 ; 21/-7 ; - (-3/-2) ; 0/-20 ; -44/-4  (** Division Problem Order which is the Original Order**)

Step-by-step explanation:

Here are your division problems:

-30/6 ; 0/-20 ; -44/-4 ; 21/-7 ; - (-3/-2)


First, do the -30 divided by 6

The rule when dividing with a negative and positive is you divide normally but have a negative for your answer.

30 divided by 6 is 5 but carry the negative due to the rule.

First one is -5

Next,

This one is simplistic,

It doesn't matter if it is negative anything divided by 0 is 0

Second one is 0

The next one is -44 divided by -4.

The rule when dividing with negative and negative is they cancel out and become a positive answer.

44 divided by 4 is 11

Third is 11

21 divided by -7 is the same as the first one, divide normally and carry negative.

21 divided by 7 is 3 but carry the negative.

Fourth is -3

Lastly,  we need to use the rules once again. the negatives cancel but you still have a negative. This shall be a negative answer.


Here's the twist. 3 can't divide into 2 easily. You need to get a decimal which is fine.

Fifth is -1.5

Now with all of our numbers:

-5, 0, 11, -3, and -1.5 you need to order them from least to greatest.

Rule: The farther you go out with negatives the smaller they are for example like -12.

-5 is first

-3 is second

-1.5 is third

0 is fourth

11 is fifth

-5 ; -3 ; -1.5 ; 0 ; 11 is the quotient order

-30/6 ; 21/-7 ; - (-3/-2) ; 0/-20 ; -44/-4 is the division problem order

find the area of a square if its side length is:
Part A. 1/5 cm
Part B. 3/7 units
Part C. 11/8 inches
Part D. 0.1 meters
Part E. 3.5 cm

Answers

The area of each given square is:

Part A: 1/4 cm²

Part B: 9/47 units²

Part C: 1.89 inches²

Part D: 0.01 meters²

Part E: 12.25 cm²

What is the Area of a Square?

Area of a square, with side length, s, is: A = s².

Part A:

s = 1/2 cm

Area = (1/2)² = 1/4 cm²

Part B:

s = 3/7 units

Area = (3/7)² = 9/47 units²

Part C:

s = 11/8 inches

Area = (11/8)² = 1.89 inches²

Part D:

s = 0.1 meters

Area = (0.1)² = 0.01 meters²

Part E:

s = 3.5 cm

Area = (3.5)² = 12.25 cm²

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Given the function h of x equals 2 times the cube root of x minus 10 end root plus 4, what is the x-intercept of the function?

–10
–4
2
8

Answers

Step-by-step explanation:

if I understand correctly, then we have

h(x) = 2 × cubic root(x - 10) + 4

the x-intercept is the x value where y or h(x) = 0.

0 = 2 × cubic root(x - 10) + 4

0 = cubic root(x - 10) + 2

-2 = cubic root(x - 10)

-8 = x - 10

x = 2

The intercept is the point where a line or curve crosses the axis. The x-intercept of the function is (2,0)

Intercept of a function

The intercept is the point where a line or curve crosses the axis. Given the function below:

h(x) = 2(∛x-10) + 4

For the x-intercept, it is the point where h(x) = 0.

Substitute

2(∛x-10) + 4 = 0

2(∛x-10)  = -4

(∛x-10)  = -2

Take the cube of both sides

x-10 = (-2)^3
x -10 = -8

x = -8 + 10

x = 2

Hence the x-intercept of the function is (2,0)

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Cora watched 30 movies for a combined total of 55 hours over her last summer break. Some of the movies were 1.5 hours long, and others were 2.5 hours long.
How many of Cora's movies were 2.5 hours long?

Answers

The number of movies that are 2.5 hours long that Cora watched is 10 hours.

What are the linear equations that represent this question?

a + b = 30 equation 1

1.5a + 2.5b = 55 equation 2

Where:

a = movies that are 1.5 hours long

b = movies that are 2.5 hours long

How many movies are 2.5 hours long?

Multiply  equation 1 by 1.5

1.5a + 1.5b = 45  equation 3

Subtract equation 3 from 2

1b = 10 hours

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The curve of best fit is given as y = 4 + 3x + 2x2. Find the value of y when x = 2

Answers

Y= 14

X=2 so change the excision to

Y= 4+ 3•2 + 2•2

Do the math for any multiplication

Y= 4+6+4

Add those up And you get

Y= 14

If Jonah’s lunch cost $27.50, and he paid $1.65 sales tax. What is the percent of sales tax?

Answers

Answer:

6.38%

Step-by-step explanation:

To answer questions like these it helps to work backwards. We know that sales tax is an added percentage of the cost of a product onto total.

So we get this sort of image:

Total = Original Cost x (1 + %tax)

Now we can start putting the numbers from the question into this equation.

So we know the total:

27.50 = Original Cost x (1+%tax)

We know the original cost. It must be the total amount minus the amount of sales tax put on it. (27.50 - 1.65 = 25.85)

27.50 = 25.85 x (1+%tax)

Now we can start solving for "%tax".

(27.50/25.85) = 1 + %tax

1.0638 = 1 +%tax

1.0638 - 1 = %tax

0.0638 = %tax

6.38% = tax

The sales tax is 6.38%.

which of the following statements is true?

Answers

Answer:

D. In an axiomatic system, every statement, either its capable of being proven true or false.

Step-by-step explanation:

I'm sure.

Write the following as an inequality.
8 is greater than or equal to w, and w is greater than 4 use w only once in your inequality

Answers

Answer:

8 ≥ w > 4

Step-by-step explanation:

This says the w is greater or equal to 8 but it also says that w is greater than 4.

Answer:

8 ≥ w > 4

Step-by-step explanation:

Because 8 is greater than or equal to w, and w is greater than 4.

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