13. What is x in the diagram?

13. What Is X In The Diagram?

Answers

Answer 1

Answer:

x = 6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse) , so

x² = 9 × (9 + 3) = 9 × 12 = 108 ( take square root of both sides )

x = [tex]\sqrt{108}[/tex] = [tex]\sqrt{36(3)}[/tex] = [tex]\sqrt{36}[/tex] × [tex]\sqrt{3}[/tex] = 6[tex]\sqrt{3}[/tex]


Related Questions

a particle P moves in a straight line such that, t s after leaving a point O, its velocity v ms^-1 is given by v=36t - 3t^2 for t>_ 0
1) find the value of t when the velocity of P stops increasing
2)find the value of t when P comes to instaneous rest
3) find the distance of P from O when P is at instaneous rest
4) find the speed of P when P is again at O​

Answers

Answer:

jajjskslslskjsjxjj k k

4(1-2x)>32
solve for x​

Answers

Answer:

x < -7/2

Step-by-step explanation:

First, perform the indicated multiplication:

4(1-2x)>32 becomes 4 - 8x > 32.  

Next, isolate the -8x term by subtracting 4 from both sides of this inequality:

-8x > 28

Finally, solve for x by dividing both sides by -8.  This requires that we reverse the direction of the inequality sign:

x < -28/8, or, after reduction, x < -7/2

(4.23)(1.6) please multiple

Answers

Answer:

The correct answer is 6.768.

Step-by-step explanation:

(4.23)(1.6) = 6.768

Answer:

6.768

Step-by-step explanation:

(4,23)(1.6)=6.768

after 2 years the population of a town will be 33620 at the population growth rate of 2.5% pa find the present population of the town.​

Answers

Answer:

Step-by-step explanation:

The standard form of an exponential equation is [tex]y=a(b)^x[/tex] where y is the final count of the population after some time, x, goes by; a is the initial or starting amount of people (our unknown), and b is the growth rate. For us, y is 33620, the time is x = 2 years, and the growth rate is .025; but if we are growing we are expanding on the amount that we started with, so b = 100% + 2.5% = 102.5% and in decimal form, 1.025.

[tex]33620=a(1.025)^2\\33620=1.050625a[/tex] so

a = 32000

The initial population is 32000

HURRY PLEASE

1 To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team.

Answers

Answer:

n = ≥500

Step-by-step explanation:

They must be able to swim 500 yards or more.

The function f(x) is graphed below. What is the value of f(-2)?

Answers

Answer:

f(-2) = 4

Step-by-step explanation:

Looking at the graph, at -2 the graph is at the point (-2,4). Therefore, the value of f(-2) is 4.

Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3

Answers

Answer:

Step-by-step explanation:

Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3

If A = -x + 2x - x + 1 and B = x² + 5, find A + B.

Answers

Answer:

6 + x^2

Step-by-step explanation:

Plug in the values for A and B.

(-x + 2x - x + 1) + (x^2 + 5)

Remove the parenthesis. Combine like terms.

-2x + 2x = 0

1 + x^2 + 5

Combine like terms again.

6 + x^2

A population of 30 bunnies is increasing at a rate of 40% per year. How many bunnies will be there in 5 years?

Answers

161 bc 30*1.4^5 so 5.37824830 around 161
90 bunnies because you take the 40% of the 30 and multiply that by 5 and add that to the existing amount

order the equations by the steepness of the slopes of their graphs from greatest fj least.

Answers

steepest slope: 2x+3
-3x-4
2/3x-5
flattest slope: -1/5x+2

can uh help me in this

Answers

Answer:

Step-by-step explanation:

b) a² - 1 + b(b - 2a) = a² -1 + b*b -  b*2a     {distributive property}

                              =a² - 1 + b² - 2ab

                               = (a² - 2ab + b² ) - 1  

                               = (a - b)² - 1²           {use identity x²-y²= (x+ y)(x -y)}

                               = (a - b + 1)(a -b +1)

b) 15 +8y + y² - 2x - x² = (y² + 8y  + 15) - x² - 2x

                                    =  (y² + 5y + 3y + 15) - x(x + 2)

                                    = [ y(y + 5) + 3(y +5)] - x(x + 2)

                                   = [(y + 5)(y+3) ] - x(x +2)

30 POINTS

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

40.
PLEASE GIVE EXPLANATION

Answers

Answer:

3.61%

Step-by-step explanation:

Mathematics, calculator

Answer:

Step-by-step explanation:

If we are looking for the probability that the battery lasts between 7 and 8 years, we find the z-score for the probability that it lasts less than 8 years, and then subtract from it the z-score for the probability that it lasts less than 7 years. This subtraction will give you what's left: the span in between 7 and 8 years. To find the z-score:

[tex]z=\frac{x_i-\mu}{\sigma}[/tex] Therefore,

P(x < 8) has a z-score of

[tex]z=\frac{8-5}{1.2}=1.667[/tex] The p-value that accompanies this z-score is .99379 (which translates to 99.379% of the data falling below 8 years) and

P(x < 7) has a z-score of

[tex]z=\frac{7-5}{1.2}=2.5[/tex] The p-value that accompanies this z-score is .95224 (which translates to 95.224% of the data falling below 7 years).

Subtract the p-value of 2.5 from the p-value of 1.667 to get

.99379 - .95224 = .04155 = 4.16%, choice A.

Find the area of the following composite figure. Assume angles that look like they are a right angle are
right angles.
14 in
14 in
Q
Leave your answer in terms of . For example your answer might to 98 + 107.
square inches
NOTE: Figures are NOT to scale.

Answers

Answer:

7π + 7π + 196 ( could also be 14π + 196)

Step-by-step explanation:

14 is the length of the square. However it is also the diameter of the circle.

If you do diameter x π you will get the circumfrance. Which in this case is 14π. If your trying to find half of the circumfrance you would do 14π ÷ 2 which is 7π.

After finding 7π for one half a circle you do the same for the other and also get 7π

After finding the 2 half circles find the square which is 14 x 14 = 196

196 + 7π + 7π if you don't want bother pi's there it could also be seen as 196+ 14 π

what is (-5x-3y) - (-x-3z)

Answers

Answer:

-4x-3y+3z

Step-by-step explanation:

(-5x-3y)-(-x-3z)

-5x+x-3y+3z

-4x-3y+3z

PLZZZ HELPPPPP, HAVE 10 MORE QUESTIONS AND NEED TO FINISH IN 5 MINS

Answers

Answer:

2 cups

Step-by-step explanation:

It would be 1/2 times 4, which would be 2 cups of lime juice.

Which of the following terms describes the measure indicated by the black
arrow below?
A. Mean
B. Minimum
C. Range
D. Median

Answers

Answer:

mean

Step-by-step explanation:

The mean is the center of a normal distribution

While standing outside Carmen's Computer Store,Phyllis noticed that 14 people left the store and 10 people entered the store. Later, 5 more people entered and 13 people left.What was the net increase or decrease in the number of people in Carmen's Computer Store? A. An increase of 12 / B. decrease of 12 C. an increase of 42 / D . decrease of 42

Answers

Answer:

B. decrease of 12

Step-by-step explanation:

Number of people who left the store = 14

Number of people who entered the store = 10

Again,

Number of people who left the store = 13

Number of people who entered the store = 5

Total people who left the store = 14 + 13

= 27 people

Total people who entered the store = 10 + 5

= 15 people

Number of people remaining in the store = Total people who entered the store - Total people who left the store

= 15 - 27

= -12

This means there is a net decrease in the number of people in Carmen's Computer Store

1. Find(x) + g(x)
4 options to pick from

Answers

It’s either b or c but I would go for b

Can somebody please help me?

Answers

Answer:

use Pisagor teorem

Step-by-step explanation:

The line which start on the edge and divided other side 64 and 36 be Y and we use Pisagor teorem so Y²=64*36...... y=8*6=48 .................(1)

use other triangle to find hipotenus 48²+36²=x² .... x= 60

what is the predecessor of -36

Answers

Answer:

-35

Step-by-step explanation

A predecessor is something that came before the current version, and -36 is negative so before -36 is -35

Answer:

the correct answer is -34

Step-by-step explanation:

A predecessor is something that came before the current version.

hope it helps you

Can u help solve this

Answers

Answer:

2

Step-by-step explanation:

slope = rise/run

rise = difference in y

run = difference in x

slope = (8 - 2)/(3 - 0)

slope = 6/3

slope = 2

Answer:

Slope = 2

Step-by-step explanation:

Use the Slope-Formula to find the slope

m = slope

m = change in y/change in x

m = (y2 - y1)/(x2 - x1)

Points: (0, 2) (3, 8) where the first point is x1 & y1 and the second point is x2 & y2.

m = (8 - 2)/(3 - 0)

m = 6/3

m = 2

The slope will be 2

How do I solve this: 12v + 10v + 14 = 80

Answers

Answer:

v = 3

General Formulas and Concepts:

Pre-Algebra  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

12v + 10v + 14 = 80

Step 2: Solve for v

Combine like terms:                                                                                         22v + 14 = 80[Subtraction Property of Equality] Subtract 14 on both sides:                       22v = 66[Division Property of Equality] Divide 22 on both sides:                               v = 3

13 = 2m + 5

whats m?

Answers

4 is the correct answer

Answer:

M is 4

Step-by-step explanation:

in order to solve, 13=2m+5, you need to subtract 5 from both sides.

13=2m+5

-5        -5

Which is,

8=2m, then you divide both sides by 2. That gives you, 4=m. Therefor, m is 4.

- 100
-V4
L.A.1
ints
3. What is the simplest form of
a. -51
b. 25i
c. -251
d. 5i

Answers

Answer:

- 5i

Step-by-step explanation:

sqrt(-100) / -sqrt(4)

We know that  sqrt(a) / sqrt(b) = sqrt(a/b)

- sqrt(-100/4)

- sqrt(-25)

We know that sqrt(ab) = sqrt(a) sqrt(b)

- sqrt(25) sqrt(-1)

We know sqrt(-1) = i

Taking the principle value of sqrt(25)

- 5i

Art class has 444 tables. There are 999 pencils at each table.
Ava multiplied 4\times94×94, times, 9 to find the total number of pencils.
Finn multiplied 9\times49×49, times, 4 to find the total number of pencils.
Who is correct?
Choose 1 answer:

Answers

Answer:

Both Ava and Finn are correct

Step-by-step explanation:

There are 4 tables and 9 pencils at each table

4 ( 9) = 36

9 * 4 = 36

Both Ava and Finn are correct

The perimeter of a rectangular park is 300 feet. The length of the park is 10 feet longer than the width.
Find the length of the park.
What is the length of the park?
feet=?​

Answers

Answer:

80 ft

Step-by-step explanation:

width = w

length = w+10

Perimeter of a rectangle

P = 2(l+w)

300 = 2(w+10+w)

300 = 2(2w+10)

Divide by 2

300/2 = 2/2(2w+10)

150 = 2w+10

Subtract 10

150-10 = 2w+10-10

140 = 2w

Divide by 2

140/2 = 2w/2

70 = w

l = w+10

l = 70+10

w = 80

rule. L1
b)
I
R = (24, 28)
S = (4, 20)
Q = (28, 12)
P = 8,4)
R' = (36, 4)
S = (16,-4)
*Q' = (40, -12)
P' = (20, -20)
Determine the transformation rule for the translation
from PQRS to P'QʻR'S'

Answers

Answer:

(x+12, y-24)

Step-by-step explanation:

The rule is (x, y) -> (x+12, y-24)

they sold $62 by selling 4 adult tickets and 2 student tickets. find the cost of an adult ticket.

Answers

Answer:

Because this question was posted 4 days ago I'm assuming that you Oliver don't need any help anymore,... BUT,... with the amount of info given it is not possible to answer the question for example,...

They could sell: 4 adult tickets costing $15 each and 2 student ones cost $1 dollar each,...

All of that adding up to $64

Or they could sell: 4 adult tickets costing $10 each and 2 student ones cost $11 dollar each,...

All of that adding up to $64

OR still (you're probably annoyed by now,... sorry) they could sell: 4 adult tickets costing $6 each and 2 student ones cost $19 dollar each,...

AND All of that adding up to $62

You get the point,... Hope that helped and see you in life,... (well actually because we're probably never going to meet each other in real life then no I probably won't see you in life,... but, I mean, you get the idea) Chow!

Given that squareroot 9.8 = 3.13 and squareroot 98 = 9.9 , then squareroot 98000=??


How they connected?

Answers

Answer:

see your answer in pic

mark me brainlist

Step-by-step explanation:

please solve this ASAP. I need this done but I can't figure it out

Answers

Answer:

x = 61

Step-by-step explanation:

Supplementary angles add up to 180 degrees. We can create an equation and solve for x.

(2x + 6) + (x - 9)= 180

~Combine like terms

3x - 3 = 180

~Add 3 to both sides

3x = 183

~Divide 3 to both sides

x = 61

Best of Luck!

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Which of the following phrases are expressions?6-1>L,-6k = -8, 1/4 great love and great achievement involve great risk ILL MARK BRAINLIEST TO FIRST CORRECT ANSWER Dave solved a quadratic equation. His work is shown below, with Step 111 missing.What could Dave have written as the result from Step 111?\begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned} 31 (x+4) 2x+4x=16=48=12 or x=8Step 1Step 2Step 3Choose 1 answer:Choose 1 answer:(Choice A)A\left(\dfrac{1}{3}x+\dfrac{4}{3}\right)^2=48( 31 x+ 34 ) 2 =48left parenthesis, start fraction, 1, divided by, 3, end fraction, x, plus, start fraction, 4, divided by, 3, end fraction, right parenthesis, squared, equals, 48(Choice B)B\left(\dfrac{1}{3}x\right)^2+\left(\dfrac{4}{3}\right)^2=48( 31 x) 2 +( 34 ) 2 =48left parenthesis, start fraction, 1, divided by, 3, end fraction, x, right parenthesis, squared, plus, left parenthesis, start fraction, 4, divided by, 3, end fraction, right parenthesis, squared, equals, 48(Choice C)C(x+4)^2=144(x+4) 2 =144left parenthesis, x, plus, 4, right parenthesis, squared, equals, 144(Choice D)D(x+4)^2=16(x+4) 2 =16 The population of a large U.S. city is 2,707,210. Which of the following best expresses this population? A 2.7 106 C 2.707 106 B 2.7 107 D 27.07 106 At what rates did she invest?$1500 invested at___%$800 invested at ____% Selected current year company information follows:Net income $15,953Net Sales 712,855Total liabilities, beginning-year 83,932Total liabilities, end-of-year 103,201Total stockholders' equity, beginning-year 198,935Total stockholders' equity, end-of-year 121,851Total asset turnover is:________.a. 2.24 timesb. 2.81 timesc. 3.64 timesd. 4.67 timese. 6.28 times If a(x + 1) + b(x 1) 2 = 0 for all real x, then a =(A) -2(B) -1(C) 0(D) 1(E) 2 Kh khn ln nht ca min nam trung b v nam b v kh hu l Amy bakes and sells cupcakes out of her home. She uses baking pans that hold 12 cupcakes and 36 cupcakes to fill her orders. Amy needs to fill her biggest order of 504 cupcakes for a special event.a. Write an equation to represent the number of 12-cup and 36-cup baking pans for herorder.b. Amy needs to use a combination of the 12-cup and 36-cup baking pans to fill the order. With only eighteen 12-cup baking pans in her shop, how many of the 36-cup baking pans does she need to complete the order? How is the graph of y=(x-1)2-3 transformed to produce the graph of y-3(x+4)??The graph is translated left 5 units, compressed vertically by a factor of 2, and translated up 3 units.The graph is stretched vertically by a factor of , translated left 5 units, and translated up 3 units.O The graph is translated left 5 units, compressed horizontally by a factor of 3, and translated down 3 units.O The graph is stretched horizontally by a factor of , translated left 5 units, and translated down 3 units. The Womans Suffrage Movement is responsible for passage of the A. 15th Amendment B. 19th Amendment C. 23rd Amendment D. 26th Amendment 3.NEED ASAPWhat device would NOT be helpful in simulating the chances of Ms. McMillan likingvanilla or chocolate?a. A spinner cut into 10 equal partsb. A 3 sided number cubeC. A coind. An 8 sided number cube La'Vonn rolled a die 100 times. His results are below. What is the relative frequency for La'Vonn rolling a 3? after allowing a 15% discount on the Marked price of a radio becomes rupees 1997 find the Marked price of the radio In your own opinion, which government functions would be best handled by state governments? Check any thatapply.O making treaties with foreign countriesO running schoolsD issuing driver's licensesO fighting wars against foreign enemiesO borrowing money [tex]\sqrt{\\\frac{9+\sqrt{17} }{2}[/tex] Turner has 6 pounds of pasta. Each time he makes dinner he uses 0.75 poundof pasta. How many dinners can he make?Your answer In nonequilibrium, total counterclockwise moments = total clockwise moments. *True False the first three terms of an arithmetic progression are m,12 and n . Find the value of m+n Si dejamos caer un objeto desde una gran altura, ser que tiene siempre la misma velocidad