What is the value of x? Round to the nearest tenth. Please Help

What Is The Value Of X? Round To The Nearest Tenth. Please Help

Answers

Answer 1

Answer:

x = 6.5 cm

Step-by-step explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm[/tex]

Substitute:

[tex]x^2+20.2^2=(14.7+x)^2[/tex]           use (a + b)² = a² + 2ab + b²

[tex]x^2+408.04=14.7^2+(2)(14.7)(x)+x^2[/tex]          subtract x² from both sides

[tex]408.04=216.09+29.4x[/tex]        subtract 216.09 from both sides

[tex]191.95=29.4x[/tex]         divide both sides by 29.4

[tex]x\approx6.5\ cm[/tex]


Related Questions

Find the missing side length. When the area is 12ft.

Answers

Answer: Since you are finding the missing side of a rectangle, it is 3.

Step-by-step explanation:

Area of rectangle= (l)(w)

The length of the missing side is 3ft.

What is Area ?

Area is defined as the space occupied by a flat surface .

It is measured in square units.

It is given in the question

A rectangle with one side as 4ft.

Area of the rectangle = 12 sq.ft

Other side = ?

Area of a rectangle is given by Length * Breadth

Area =  one side * other side

Substituting the values

12 = 4 * other side

other side = 3 ft.

Therefore the length of the missing side is 3ft.

To know more about Area

https://brainly.com/question/27683633

#SPJ2

Can someone help me on 8,12 please

Answers

Step-by-step explanation:

8.

[tex]\triangle CHF\sim\triangle YWS\\\\\angle C\cong\angle Y\\\angle H\cong\angle W\\\angle F\cong\angle S\\\\\dfrac{CH}{YW}=\dfrac{HF}{WS}=\dfrac{CF}{YS}[/tex]

Although it does not look like the picture.

From the picture ∠F ≅ ∠Y...

We must stick to the correct writing:

Δ → Δ

C → Y

H → W

F → S

12.

ΔMLK and ΔYWZ are not similar because they have different angles (different shape).

given f(x)=x+2 and h(x)=1/x-1 evaluate the following function at x=2​

[h(x)]^2/f(x)

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Substitute x = 2 into both h(x) and f(x)

h(2) = [tex]\frac{1}{2-1}[/tex] = 1 ⇒ (h(2))² = 1

f(2) = 2 + 2 = 4

Hence

[tex]\frac{h(x)^2}{f(x)}[/tex] when x = 2

= [tex]\frac{1}{4}[/tex]

1/4 is the following function at x=2​

What are functions?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and co domain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Given

Substituting x = 2 into both h(x) and f(x)

h(2) = 1(2-1) = 1 ⇒ (h(2))² = 1

f(2) = 2 + 2 = 4

Hence

h(x)²/f(x)  when x = 2

=1/4

To know more about domain refer to :

https://brainly.com/question/11787743

#SPJ2

what is the difference r+2/r+4-3/r+1

Answers

Answer:

[tex]\frac{r^2-10}{(r+4)(r+1)}[/tex]

Step-by-step explanation:

We want to evaluate:

[tex]\frac{r+2}{r+4}-\frac{3}{r+1}[/tex]

We collect the least common multiple of the denominators to get:

[tex]\frac{(r+2)(r+1)-3(r+4)}{(r+4)(r+1)}[/tex]

Expand the numerator:

[tex]\frac{r^2+3r+2-3r-12}{(r+4)(r+1)}[/tex]

[tex]\frac{r^2-3r+3r+2-12}{(r+4)(r+1)}[/tex]

[tex]\frac{r^2-10}{(r+4)(r+1)}[/tex]

Answer:

[tex]\frac{ r^2-10}{(r+4)(r+1)}[/tex]

Step-by-step explanation:

[tex]\frac{r+2}{r+4} - \frac{3}{r+1}[/tex]

To simplify the fractions we take common denominator

LCD is (r+4)(r+1)

we try to get same denominator on both fraction

multiply the first fraction by r+1 and second fraction by r+4

[tex]\frac{(r+2)(r+1)}{(r+4)(r+1)} - \frac{3(r+4)}{(r+1)(r+4)}[/tex]

(r+2)(r+1) becomes r^2 +3r+2

3(r+4) becomes 3r+12

[tex]\frac{ r^2 +3r+2}{(r+4)(r+1)} - \frac{3r+12)}{(r+1)(r+4)}[/tex]

[tex]\frac{ r^2 +3r+2-3r-12}{(r+4)(r+1)}[/tex]

combine like terms

[tex]\frac{ r^2-10}{(r+4)(r+1)}[/tex]

For the z-score for the 11.6 data point

Answers

Answer:

z = 1.3345

Step-by-step explanation:

The z-score for a given data point, say x, from a normal distribution with a given mean and population standard deviation is usually calculated using the formula;

[tex]z=\frac{x-mean}{standard deviation}[/tex]

The following information is available;

mean = 7

population standard deviation = 3.522

x = 11.7

We simply employ the above formula to determine the z-score associated with the 11.7 data point;

[tex]z=\frac{11.7-7}{3.522}=1.3345[/tex]

FIRST CORRECT ANSWER GETS BRAINLIEST!! (Please don't rush to answer, I've gotten a lot of incorrect answers from people who answer within the minute)

Which table shows a proportional relationship between x and y?

Answers

Answer:

B

Step-by-step explanation:

y is 3 times the x

Answer:

B

Step-by-step explanation

1/3=3

6/2=3

12/4= 3

15/5=3

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1. The events are not independent because the .

Answers

Answer:

The events are not independent because the product of their marginal probabilities is not equal to their joint probability

Step-by-step explanation:

Two events A and B are said to be independent with respect to probability if the product of their marginal probabilities is equal to their joint probability. In the question presented we have;

Pr(A) = 0.4

Pr(B) = 0.2

Pr(A n B) = 0.1

The product of their marginal probabilities is;

Pr(A) * Pr(B) = 0.4 * 0.2 = 0.08

Their joint probability is given as;

Pr(A n B) = 0.1

Clearly, Pr(A) * Pr(B) ≠ Pr(A n B) and thus the events are not independent.

Answer:

Product of P(A) and P(B) is not equal to P(A and B)

Step-by-step explanation:

it would be option C on E2020

15. Cody and his wife are purchasing a home. The cost
of the home is $145,900. They will be required to
pay a down payment of 5% of the purchase price
and to pay closing costs of 6% of the purchase
price. How much cash will they need for the down
payment and closing costs?
$16,049
$8,754
$7,295
$145,900
$161,949​

Answers

They would need $16,049!

Price of the home is $145,900.

Percentage of the down payment is 5%

Subtract 5% from $145,900 = $138,605

That mean 5% of $145,900 is $7,295

Percentage of the closing cost is 6%.

Subtract 6% from $145,900 = 137,146

That mean 6% of 145,900 is $8,754

Add the down payment ($7,925) and closing cost ($8,745)

$16,049!

Mark me Brainliest!! Please!

they will need to pay $16,049

multiply $145,900 by 5%

multiply $145,900 by 6%

now add the totals to get $16,049

If the mean of this distribution is 7, which could be the median? A) 1.5 B) 5 C) 8 D) 10


PLEASE HELP

Answers

Answer:

Tationia Rolon

Step-by-step explanation:

I think its C because the median is the number in the middle

Answer

6

Step-by-step explanation:

I got is correct on usatestprep

Answer choices
F(x) or G(x)
for both A and B

Answers

Answer:

A. f(x)

B. g(x)

Step-by-step explanation:

The initial amount if the value of the function at x = 0.

Here that value is 2000 for the f(x) and 1000 for the g(x), so the f(x) has the higher initial value.

For the second part, by looking at the graph, you can determine that the function for the g(x) is 1000(3)^x (because the g(1) is 3000). Plugging in two for both the function, you get the f(x) = 8,000 and the g(x) = 9,000, so the g(x) has the greater amount of bacteria after two days.

Answer:

A. f(x)

B. g(x)

Step-by-step explanation:

The initial amount if the value of the function at x = 0.

Here that value is 2000 for the f(x) and 1000 for the g(x), so the f(x) has the higher initial value.

For the second part, by looking at the graph, you can determine that the function for the g(x) is 1000(3)^x (because the g(1) is 3000). Plugging in two for both the function, you get the f(x) = 8,000 and the g(x) = 9,000, so the g(x) has the greater amount of bacteria after two days.

Which of the following is the solution to the inequality below?

Answers

Answer:

C.

Step-by-step explanation:

distribute.

-3x+9 > 5-5x

put the x's to one side.

2x+9 > 5

put the number to the other side.

2x > -4

x > -2

Carly wins 1282 tickets at a arcade. For each group of 65 tickets she will receive a prize. Carl solve the problem 1282÷65 and determines that she has enough tickets right now for 19 prices. What is the least number of additional tickets that current needs to win to have enough tickets for a 20th prize?

Answers

18 is correct because 1300/65=20 1300-1282=18.

Find the value of X in the circle

Answers

Answer:

x=7 units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

we know that

The triangles AMN and APQ are congruent by SAS similarity postulate

The include angle

∠MAN=∠PAQ

Because

Arc MN=Arc PQ

therefore

MN=PQ

substitute the values

38=4x+10

solve for x

4x=38-10

4x=28

x=7 units

x would be 7 units because 4 × 7 = 28 And 28 + 10 = 38

The ratio of red cars to blue cars in a parking lot was 5:3.if there were 40 red cars, how many blue cars were there??

Answers

Every 5 red cars there are 3 Blue cars,

So if there are 40 red cars,

there are going to be 24 Blue cars

40 divided by 5 which is 8

Multiply 3 × 8 which is ( 24 blue cars )

Answer:

24

Step-by-step explanation:

The 5 part of the ratio represents 40 cars, thus

40 ÷ 5 = 8 cars ← value of 1 part of the ratio

3 parts = 3 × 8 = 24 ← number of blue cars

To the nearest hundred what is the value of X

Answers

Answer:

41.51

Step-by-step explanation:

We can find the value of x using the trigonometry identify.

Cos (41) = x/55

x = 55cos (41)

x = 41.51

ANSWER

[tex]x = 41.51[/tex]

EXPLANATION

The given triangle has a right angle.

We were given an acute angle that measures 41°

The hypotenuse of the given right triangle is 55.

Since x is adjacent to the given angle and we also know the hypotenuse, we use the cosine ratio to find x.

[tex] \cos(41 \degree) = \frac{x}{55} [/tex]

Therefore

[tex]x = 55 \cos(41 \degree) [/tex]

[tex]x = 41.509[/tex]

We round to the nearest hundredth to obtain,

[tex]x = 41.51[/tex]

Convert 7pi/5 to degrees.

Answers

Answer: 252 degrees!

7pi/5 is 252degrees.

What is radians?

The standard unit of angular measure used in many branches of mathematics is the radian, indicated by the symbol rad. The radian is the SI unit for measuring angles. The radian has replaced the unit as a SI derived unit, which was previously a SI supplementary unit.

Given

To convert radians to degrees, multiply by 180/π, since a full circle is

360° or 2π radians.

(7π/5)⋅180°/π

Cancel the common factor of π.

Rewrite the expression.7/5⋅180

7⋅36

Multiply 7 by 36.

252

To know more about radians refer to :

https://brainly.com/question/10443805

#SPJ2

The manager of a company that sells movie tickets online releases a report. The report states that the company's customers do not want the option of reserving a seat when they buy tickets. The report was based on a survey of 200 customers chosen at random from the company's database. Participants were asked the question, "Are you willing to spend the extra time and effort to reserve a seat when you buy tickets?" Select all statements that correctly evaluate the report. The question is biased toward a Yes response.

A) The sample is biased because it does not represent the population.

B) The question is biased toward a No response.

C)The question is not biased.

D) The sample is not biased.

Answers

Answer:

the question is biased towards a no response, because they're asking participants "are you willing to spend the extra time to blah blah" obviously they're going to say no, and the second answer is the sample is not biased because they're not giving the consumers any reason to want the product they're selling.

Step-by-step explanation:

Answer:

The sample is not biased.

The question is biased toward a No response

Step-by-step explanation:

I took the test!

How many terms are in the arithmetic sequence 7, 1, −5, …, −161?

Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference

27
28
29
30

Answers

Answer:

29

Step-by-step explanation:

The n th term of an arithmetic sequence is

• [tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

d = 1 - 7 = - 5 - 1 = - 6 and a₁ = 7, [tex]a_{n}[/tex] = - 161, hence

7 - 6(n - 1) = - 161 ← solve for n

7 - 6n + 6 = - 161

13 - 6n = - 161 ( subtract 13 from both sides )

- 6n = - 174 ( divide both sides by - 6 )

n = 29

There are 29 terms in the sequence

A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the longer piece of rope?

22 feet

26 feet

33 feet

44 feet​

Answers

22 feet is the answer I hope this helps

Answer:

Longest rope is 44 feet. 1 piece is 1/2(44)=22. 22+44=66

Step-by-step explanation:

What is the surface area of the cylinder in term of pi? Radius of 11 and height of 23

Answers

Answer:

The surface area of the cylinder is [tex]748\pi[/tex].

Step-by-step explanation:

Given : Radius of the cylinder is 11 unit and height of the cylinder is 23 unit.

To find : What is the surface area of the cylinder in term of pi?

Solution :  

The formula of surface area of cylinder is

[tex]A=2 \pi r^2+2\pi rh[/tex]

Where, r is the radius of the cylinder r=11 unit.

h is the height of the cylinder h=23 unit.

Substitute the value in the formula,

[tex]A=2 \pi r^2+2\pi rh[/tex]

[tex]A=2\pi(r^2+rh)[/tex]

[tex]A=2\pi(11^2+11(23))[/tex]

[tex]A=2\pi(121+253)[/tex]

[tex]A=2\pi(374)[/tex]

[tex]A=748\pi[/tex]

Therefore, The surface area of the cylinder is [tex]748\pi[/tex].

y = 3x-5
6x + 3y= 15

Answers

y = 3x - 5

So substitute 3x-5 for y:

6x + 3(3x-5) = 15

Simplify:

6x + 9x - 15 = 15

15x - 15 = 15

x - 15 = 1

x = 16

THEN find y by plugging the value of x back into the first equation:

y = 3(16) - 5

y = 48 - 5

y = 43

Find the perimeter of the polygon ??

Answers

Answer:

35.5 m

Step-by-step explanation:

The perimeter of the polygon is the sum of all the sides of the polygon. The sides are given as

11 m , 5 m ,7.5 m , 5m and 7m

Hence the perimeter would be,

11+5+7.5+5+7

= 35.50 m

In the figure, angle A measures 41° and angle D measures 32°. What is the measurement of angle E?

Answers

triangles angles always add up to 180° that being said,

41+32=73

180-73=107

angle e= 107°

hope this helps!

In a lottery game, a player picks six numbers from 1 to 20. If the player matches all six numbers, they win 30,000 dollars. Otherwise, they lose $1.


What is the expected value of this game?

Answers

Final answer:

The expected value of the lottery game is -$0.62, suggesting a long-term average loss of 62 cents per game played. This value is calculated by considering the probability of each outcome and the associated gain or loss.

Explanation:

In order to calculate the expected value of the lottery game, we must first understand what expected value truly represents. The expected value is essentially a description of the average outcome of a series of events if these events are repeated many times. It's a statistical concept used to predict the long-range behavior of random events, such as lottery games.

The expected value is calculated as the sum of all possible values each multiplied by the probability of its occurrence. For the lottery game described, there are two possible outcomes: a win of $30,000 or a loss of $1.

The probability of winning is extremely low. In this game, the player is attempting to choose the correct 6 numbers out of 20, which is a 1 in 38,760 chance. Whereas, the probability of losing is extremely high, practically 38,759 out of 38,760.

Thus, the Expected Value (E) can be calculated as follows: (probability of winning x winnings) + (probability of losing x loss). Plugging in our values gives us an expected value of -$0.62, rounded to the nearest cent. This figure indicates that if one were to play this game repeatedly, their average loss per game would be about 62 cents.

Learn more about Expected Value here:

https://brainly.com/question/37190983

#SPJ3

a penny is dropped from the top of the statue of liberty which is 305 feet tall . the height of the penny, (h,) at time (t) seconds can be repesented by the equation h(t) = -16t^2 + 305. After 4 seconds how much further does the penny need to travel before it hits the ground.

Answers

Answer: Penny need to travel 49 feet before it hits the ground.

Step-by-step explanation:

Since we have given that

[tex]h(t)=-16t^2+305[/tex]

Here, h denotes the height of the penny

t denotes the time in seconds.

Now, t = 4 seconds

So, the penny needs to travel before it hits the ground is given by

[tex]h(4)=-16(4)^2+305\\\\h(4)=-16\times 16+305\\\\h(4)=256-+305\\\\h(4)=49\ feet[/tex]

Hence, Penny need to travel 49 feet before it hits the ground.

Final answer:

After 4 seconds, the penny needs to travel an additional 49 feet before it hits the ground.

Explanation:

The equation h(t) = -16t^2 + 305 represents the height of the penny at time t seconds. To find out how much further the penny needs to travel before it hits the ground after 4 seconds, we need to substitute t = 4 into the equation and solve for h.

h(4) = -16(4)^2 + 305

h(4) = -256 + 305

h(4) = 49 feet.

Therefore, the penny needs to travel an additional 49 feet before it hits the ground.

Learn more about Height of a penny here:

https://brainly.com/question/35873705

#SPJ3

What is the value of x?

Answers

x = 16.

Hope this helps!

Answer:

x = 16

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{x}{4}[/tex] = [tex]\frac{20}{5}[/tex] ( cross- multiply )

5x = 80 ( divide both sides by 5 )

x = 16

Tell whether each equation represents a direct proportion. If so, identify the
constant of proportionality.

1. 0.4y = x

2. x = 1 - 2y

Answers

Answer:

Step-by-step explanation:

1. 0.4y = x is a direct proportion.  It'd be more appropriate to write this as

   y =  x / 0.4, or y = 2.5x, in which case 2.5 is the constant of proportionality.

2. x = 1 - 2y is not a direct proportion because of the offset (1).  A line representing a direct proportion must go through the origin (0, 0); this particular line does not do that.

The first equation, 0.4y = x, represents a direct proportion with the constant of proportionality being 2.5. The second equation, x = 1 - 2y, does not represent a direct proportion since it does not have the form y = kx.

When we talk about two quantities being directly proportional, we mean that as one quantity increases, the other increases by a constant rate, and vice versa. This relationship can be represented by the equation y = kx, where k is the constant of proportionality.

For the first equation, 0.4y = x, this is rearranged as y = (1/0.4)x or y = 2.5x. This is indeed a directly proportional relationship, with the constant of proportionality being 2.5.

The second equation x = 1 - 2y does not describe a directly proportional relationship because it is not of the form y = kx. Instead, it shows that x decreases as y increases, which is suggestive of an inverse relationship, rather than a direct one.

A ________ is a transformation of a figure by turning it around a given point.

A. dilation

B. reflection

C. rotation

D. translation

Answers

Answer:

Translation

Step-by-step explanation:

What is the answer to this?

Answers

Answer:

90°

Step-by-step explanation:

The angles at the intersection of a kite will always be 90°

write the equation for an exponential function, in the form axb^x, whose graph passes through the coordinates points (1, 7.5) ( 3, 16.875)

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of the exponential function in the form

y = a[tex]b^{x}[/tex]

Substitute the given points into the equation and solve for a and b

Using (1, 7.5), then

7.5 = ab → (1)

Using (3, 16.875), then

16.875 = ab³ → (2)

Divide (2) by (1)

[tex]\frac{ab^3}{ab}[/tex] = [tex]\frac{16.875}{7.5}[/tex], hence

b² = 2.25 ( take the square root of both sides )

b = 1.5

Substitute b = 1.5 into (1)

1.5a = 7.5 ⇒ a = 5

The exponential function is y = 5[tex](1.5)^{x}[/tex]

Other Questions
The client, Don Kennedy, informed Alison that price was a primary concern for his firm. Therefore, during her sales call, Alison must: the radius of a circle with an area of a circle with an area of 60 square centimeters is represented by the expression sqrt 60/x centimeters. what is another way of expressing the radius? The graph of the function, f(x) = 3^2 + x + 2, opens(down or up) and has a (minimum or maximum) value. The rectangular prism is to be slices perpendicular to the shaded face and is to pass through point B , parallel to the front face . What will the dimensions of the rectangular cross section be What is the value of x? A) 3 B) 2 C) 1 D) 4 Which of the following uses the Distributive Property to determine the product 12(185) Question 6 options: a) 12(100) + 12(13) b) 12(18) + 12(5) c) 12(1) + 12(8) + 12(5) d) 12(100) + 12(80) + 12(5) Use what you've covered in this text and unit to write a two paragraph essay in English comparing life in Argentina with life in the United States. Find at least three differences and three similarities. Janus was the Roman god of beginnings. Which word has its origin in the name of this god? A. AtlasB. CycloneC. EchoD. January what are paralellograms a foce that pushes or pulls is known as Boyle's Law relates temperature to gas volume and Charles's Law relates pressure to gas volume.TrueFalse coefficient of x^2 in expansion of the binomial theorem (2x-1)^4 show your work The manager of cups R' Us handed out 125 coupons to his customers on Monday, c coupons on Tuesday, and 220 coupons on the Wednesday. Write an expression for the total number of coupons the manager handed out. Then simplify the expression. Precalculus Homework help please. Kyle drew 4 polygons labeled A,B,C, and D. Figure A has twice as many sides as Figure B. Figure B has 3 vertices. Figure C has half as many sides as figure D. Figure D has 8 vertices. Name each polygon Kyle draw. For circle O, mCD=125 and m Which statement isnotan accurate description of meiosis Read the passage. Enrique raced down the cracked sidewalk as fast as he could. The hot sun was beating down on him mercilessly. Streams of sweat trickled down his face, and his drenched shirt clung to his chest and back, but he didnt care. The school day had gone by very slowly, and now he was determined to get home. In his right hand, he firmly held on to his rolled-up certificate. For three long months, he had faithfully gone to the library every three days to check out new books to read. In the evenings, he and his mom had curled up on the couch and read to each other. For every book they completed, the librarian, Mrs. Sato, had put a stamp in one of the squares of his reading chart. Today, she had filled in the very last square. She had also presented him with a certificate of completion. His name was at the top, beautifully written in red cursive. You did it, Enrique, Mrs. Sato had said, and way before any of your classmates. Congratulations! Enrique couldnt wait to see his moms face when he showed her the paper. He knew she would be proud. He also knew she would be eager to get started on the new book he carried in his other hand. The writer included the descriptive sentence In the evenings, he and his mom had curled up on the couch and read to each other to show the reader that Enrique would prefer to read the books without his mom. Enrique and his mom like spending time together. Enrique is not a very good reader and needs help. Enriques mom does not like to read books on her own. If two dice are placed end to end, which shape have the dice formed?A)coneReactivateB)cylinderC)polygonD)prismwill mark brainliest if correct and give 50 pts. What is the absolute value of -8.2? What is the answer