What is the value of q

What Is The Value Of Q

Answers

Answer 1

Answer:

Triangles QST and RST are similar.  Therefore, the following is true:

q       s

--- = ----   This results in 10q=rs.

r      10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.

Since QST is also a right triangle, s^2 + 10^2 = r^2.  

           4      s

Also:  ---- = -----    which leads to s^2 = 40

           s      10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)


Related Questions

It is given that 2(3+x)=6+2x this is e so ample of which property

Answers

Answer:

  distributive property

Step-by-step explanation:

The distributive property is the one that says a multiplier outside parentheses is equivalent to multiplication of every term inside parentheses.

  2(3 +x) = 2(3) +2(x) = 6 +2x

Write the linear equation into Standard Form. 8+3x=-9y

Answers

Hello! :p

Original: 8+3x=-9y

standard form:  3x + 9y = -8

I hope this helps! Have a wonderful day! :)

14. Janine has job offers at two companies. The Nabisco company offers her a starting salary of $28,000 plus $2,000 for transportation costs with a raise of $3000 each year. The Keebler company offers a starting salary of $36,000 with a $2000 a year raise, After how many years would her salary at Nabisco be greater than Keebler?​

Answers

Answer:

eight years

Step-by-step explanation:

at year one: nabisco 30k and keebler: 36k

year two: nabisco: 33k and keebler: 38k

year three: nabisco: 36k and keebler: 40k

year four: nabisco: 39k and keebler: 42k

year five: nabisco: 42k and keeber: 44k

year six: nabisco: 45k and keebler 46k

year seven: nabisco: 48k and keeber 48k

year eight: nabisco: 51k and keebler 50k

How many feet does each student climb after 10 steps?

Answers

The answer I think should be 15 hope this helps

Pilar climb 6.5 feet and Jake climbed 9.5 feet.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope of pilar = 3-2/3-1 = 1/2

After 10 steps let the height covered by x.

then, slope= x-2/10-1

1/2 = x-2/ 9

9 = 2x -4

13 = 2x

x= 6.5 feet

now, slope of Jake= 8-5/7-1 = 3/6 = 1/2

After 10 steps let the height covered by y.

then, slope= x-5/10-1

1/2 = y-5/9

2y- 10 = 9

2y= 19

y= 19/2

y= 9.5 feet

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).

Answers

The solution of the given equation is (3,6). The correct option is B.(3,6)

Given equations,

[tex]y=x+3.......(1)\\4x+y=18.....(2)[/tex]

How to solve the equations?

putting the value of y from equation (1) in equation (2) , we get

[tex]4x+x+3=18\\[/tex][tex]5x=18-3\\5x=15\\x=3[/tex]

substitute the value of x=3 in equation (1) we get,

[tex]y=3+3\\y=6[/tex]

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

https://brainly.com/question/12895249

5 MINUTES to answer pls help.

20 Points

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-3-(-10)/-2+1

-3-5+1

-8+1

-7

Jason likes to play video games. His parents allow him to play

Answers

Answer:

If its for a reasonable time yes, most parents will let their child to play a reasonable time. However, if things get out of control resulting the child being addicted to video games. It is the child's fault and parent's fault

School days: 0 to 60 minutes per day On school days and 2 hours or less on non- school days. There is some advantages in gaming. But in all don't play to much if so, your body will melt. ( not really but melt melt)

Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues? A 3-column table with 3 rows. Column 1 is labeled age with entries 35, 40, 45. Column 2 is labeled 10-year term, male, with entries 1. 40, 1. 64, 2. 7. Column 3 is labeled 10-year term, female, with entries 1. 36, 1. 59, 2. 1. A. $161 b. $185 c. $1,073 d. $24 Please select the best answer from the choices provided A B C D.

Answers

From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. $24

Reasons:

The data in the table are presented as follows;

[tex]\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right][/tex]

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ $24

Learn more about insurance premiums here:

https://brainly.com/question/3053945

Answer:

$24 or D, Hope this helps :D

Step-by-step explanation:

Work out the area of triangle ABC.

Answers

Answer:

A = 4 cm²

Step-by-step explanation:

The area of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

b = AC = 3[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]

h = BD

Calculate BD using Pythagoras' identity in Δ ABD

BD² = AB² - AD²

      = (2[tex]\sqrt{5}[/tex] )² - (3[tex]\sqrt{2}[/tex] )²

     = 20 - 18 = 2 ( take square root of both sides )

BD = [tex]\sqrt{2}[/tex]

Then

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 4 cm²

It takes 1 3/4 cups of cherries to make a cherry pie. Emma wants to make 3 cherry pies. How many cups of cherries will Emma need

Answers

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

Determine the measurement of the missing angle

Answers

Answer:

31

Step-by-step explanation:

Find missing angle of lower triangle first

35+23=58

180-58=122

Because of some geometry rule, the other angle in the upper triangle that is not the ? is also 122

27+122=149

180-149=31

The product of w and 2 is greater than or equal to 19.

Answers

Equation Form:

w x 2 [tex]\geq[/tex] 19

Divide both sides by 2:

w [tex]\geq[/tex] 9.5

So, w must be equal to or greater than 9.5 for this equation to work.

Is this a quadratic function? Why or why not?

Answers

Answer:

Not a quadratic function.

Step-by-step explanation:

Definitions

A function is a relation wherein each input or x-value corresponds exactly to an output or y-value.  In other words, a relation is a function if there are no repeating x-values.  

Vertical Line Test :

A way to determine whether a given graph represents a function is to perform the Vertical Line Test.  Using the Vertical Line Test, we must draw vertical lines across the graph.  If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.  

⇒  The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1.   Hence, the given horizontal parabola is not a quadratic function.

Horizontal Parabola: Not a Function      

The given graph represents a horizontal (or sideways) parabola.

The vertex form of the horizontal parabola is: x = a(y - k)² + h.  

where:

a = Determines the direction of the graph's opening.

a > 0, the graph of the parabola opens to the right.a < 0, the graph of the horizontal parabola opens to the left

y = k is the horizontal axis of symmetry

k = determines the vertical translation of the graph

h = determines the horizontal translation of the graph

Equation of the Horizontal Parabola in Vertex Form:

The vertex of the given graph occurs at the point of origin, (0, 0).

Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :

x = a(y - k)² + h

1 = a(1 - 0)² + 0

1 = a( 1 )²

1 = a

Equation of the given horizontal parabola in vertex form:  

      ⇒     x = (y - 0)² + 0  or  x = y²

It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.

This implies that each x-values on the graph have more than one corresponding y-values:

                          x = 1 has two y-values: y = -1, and y = 1.

                           x = 4 has two y-values: y = -2, and y = 2.

Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.  

I NEED BOTH OF THESE


60 POINTS

asap

Answers

Answer:

107.5

Step-by-step explanation:

20% of 70 = 14

70 - 14 = 66

10% of 45 = 4.5

45 - 4.5 = 41.5

66 + 41.5 = 107.5

60
60
boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18
18
boys chose biking and 29
29
boys chose fishing.
The remaining boys did not complete the survey.

Which expression gives the percent of survey participants who chose fishing?

Answers

Answer:

48.3%

Step-by-step explanation:

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 29/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 60 = 1.6666666666667

Once we have that, we can multiple both the numerator and denominator by this multiple:

29 x 1.6666666666667

60 x 1.6666666666667

=  

48.333333333333

100

Now we can see that our fraction is 48.333333333333/100, which means that 29/60 as a percentage is 48.3333%.

Heather bought 7 cases of water for $38.50. How much did each case cost?

Answers

38.50/7 = $5.50 for each cases of water Heather bought.

Answer:

$5.50 / case

Step-by-step explanation:

Here we're finding the 'unit cost' $38.50 / (7 cases) = $5.50 / case

Which of the following can be a common denominator for the fractions 6/7 and3/4 ? 14, 4, 7, 28

Answers

28 Is the answer because 7X4=28 & 4X7=28 so

Can a shape have the perimeter be the same as the area?

Answers

Answer:

In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary. Two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.

Step-by-step explanation:

Answer maybe

Step-by-step explanation:

On an architect’s drawing of a house, 1 inch represents 7 feet. If the bedroom window is 5 inches long on the drawing, how long will it be in the actual house?

Answers

Answer:  35 feet

Work Shown:

1 inch : 7 feet

5*(1 inch) : 5*(7 feet)

5 inches : 35 feet

5 inches on paper correspond to 35 feet in the actual house.

The sum of 423 and 65 is

Answers

Answer:

488

Step-by-step explanation:

The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is 13 cm and the width is 10 cm, how fast is the area of the rectangle increasing?

Answers

Answer:

195 square centimeters per second

Step-by-step explanation:

Area growth rate = (9*10) cm^2 per s + (7*15) cm^2 per s = 195 square centimeters per second

5/6 times 2/7 and simplified

Answers

Step-by-step explanation:

⅚ײ/7 = 5/21.

hope this helps you.

Answer: it 5/21

Step-by-step explanation:

this is how i got it

5/6×2/7=  

5 × 2/6 × 7= 10/42

= 10 ÷ 2/42 ÷ 2

= 5/21

9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?​

Answers

10 minutes ago — 9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?​ · 9. 25 students each paid $6.50 to go to the museum ...

Teresa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59 and costs an additional $0.08 per mile driven, The second plan has an initial fee of $48 and costs an additional $0.10 per mile driven. For what amount of driving do the two plans cost the same? Omiles What is the cost when the two plans cost the same? $0​

Answers

Answer:

1. 550 miles

2. $103

Step-by-step explanation:

y = total rental cost

m = initial fee

x = cost per mile

n = number of miles

Plan 1: y = m + xn = 59 + 0.08n

Plan 2: y = m +xn = 48 + 0.10n

Q1. if total cost is the same : 59 + 0.08n = 48 + 0.10n >>> 0.02n = 11 >>> n = 550

Q2. y = m + xn = 59 + 0.08n = 59 + 0.08(550) = 103

1/4 divided by 3 I’m behind and I really just want to get this over with :) plus math is my least favorite subject thanks to my teacher so yeah plz help:)

Answers

Answer:

XD   [tex]\frac{1}{12}[/tex] is the answer.

Step-by-step explanation:

So, to divide a fraction with a whole number you'll have to multiply the denominator with the whole number.

Hopes This Helps

Need help due in 1 min!!
Simplify!!

Answers

Answer:

C. 3^9

Step-by-step explanation:

You would simply just add the exponents.

Answer:

3^9

Step-by-step explanation:

5+4=9

An arrow travels north 56 meters in 0.7 seconds. What is its velocity? 39.2 m/s 39.2 m/s north 80 m/s north 80 m/s

Answers

Answer: north 80 m/s

Explanation:

speed = distance/time = 56/0.7 = 80

Recall that velocity is composed of both the speed and the direction. In this case, the arrow is traveling 80 m/s to the north

A worm wriggled forward
4
5
of an inch in 3 minutes. At that rate, how far would the worm go in 1 minute?

Answers

Answer:

4/15 of an inch

Step-by-step explanation:

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Hope this helps

Have a great day

~Zero

Answer:

4/15 of an inch

Step-by-step explanation:

A worm wriggled forward 4/5 of an inch in 3 minutes.

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Julio just bought a $267,900 house. He had a 20 year mortgage with a fixed rate of 5. 875%. Julio’s monthly payments are $1,558. 9. What percent of the purchase price was Julio’s down payment? a. 13% b. 15% c. 18% d. 20%.

Answers

Julio's down payment was 22.08% of the purchase price.

Given that Julio just bought a $ 267,900 house, and he had a 20 year mortgage with a fixed rate of 5.875%, and Julio's monthly payments are $ 1,558, to determine what percent of the purchase price was Julio's down payment the following calculation must be performed:

(267,900 x 1.05875) - (1558 x 12 x 20) = X

582,682.50 - 373,920 = X

208,762.50 = X  

267,900 = 100

208,762.50 = X

208,762.50 x 100 / 267,900

77.92 = X

100 - 77.92 = 22.08

Therefore, Julio's down payment was 22.08% of the purchase price.

Learn more about maths in https://brainly.com/question/25917920




[tex] \sf \: If (3x-1) ^{7} = a _{7} x ^{7} + a _{6} x ^{6} + a _{5} x ^{5}+.... \\ \sf + a₁x + a _{0}, then \: \: a_0 + a₁ + a₂ + a_3 + a_4 + a_5 + a_6 + a7 = [/tex]
a)0
b)1
c)128
d)64

Please solve this for me. Need step-by-step explanation. Spam free answer required. Thank you in anticipation.

Answers

Answer:

hope it helps have a great day

Answer is option C

Answer is c) 128

I added the step by step process in the pic attached, I don't know how to explain it very well but you can use binomial theorem for (3x-1)^7

Then you can add up all the coefficients of the calculated values as the question mentions afterwards a^7 + a^6 +..... which means it only wants you to add up the coefficients of the consecutive x terms, otherwise it would say a^7x^7 + a^6x^6 +..... and so on

Hope this helps :)
Other Questions
'The deceased' is a form of what figurative language? Write an equation for a line parallel to the line y = 1/3 * x - 4 that passes through (- 3, 2) what is the midpoint of a segment in the complex plane with endpoints at 6-2i and -4+6i? Write an persuasive paragraph explaining why you deserve the gift card, out of all the students in the class.4-5 sentences. Make sure to hit ethos- creditibilty of the writer(Unbiased)pathos- appeal to the reader through emotionlogos- use logic, reason, factsAnd very little personal opinion, and if u can, try to write in second person(IF U CANT ITS OKAY!!) Wrens mother is looking for her car keys. When she asks Wren where the keys are, Wren responds that she doesnt know. Which non-verbal gesture might Wren make to match her verbal response?A. clap her handsB. shrug her shouldersC. nod her headD. fold her arms What does Hamilton mean when he says "good behavior"? Compare maps of the world in ancient times with current political maps.First image. Map of North America showing the regions in which Native American tribes lived in ancient times. The Arctic and sub-Arctic are at the top of the continent, respectively. On the west coast, California and the Northwest region are labeled. Slightly interior to the west coast are the Plateau region and the Great Basin. Beneath and east of the Great Basin is the Southwest, which borders the Plains to its East and Mesoamerica to the south. South America is labeled, to the southeast of Mesoamerica. The Plains takes up a large portion of central North America. The Northeast and Southeast also are labeled, east of the Plains and extending to the Atlantic coast. The Caribbean islands are seen off the Southeast coast. Second image. Political map of North and Central America. The United States appears in between Canada to the north and Mexico to the south. Alaska is seen as a peninsula off of western Canada. In the United States, the cities of Seattle on the northwest coast, San Francisco and Los Angeles on central and south west coast, respectively, Phoenix in the southwest, Dallas and Houston in the central south, Chicago in the central plains area, Atlanta in the southwest, and Boston, New York, Philadelphia, and Washington D.C. in the northeast are labeled.Compare the two maps. In which of the following modern-day cities did the Southwest tribes live in? A). San FranciscoB). SeattleC). BostonD). Phoenix pls helpppppppppppp it's due today What is Marx and Engels purpose in writing this statement? Which of these practices describe how producers in oligopolies. you have $15 and earn an additional $0.50 for each cup of water you sell. write an equation that represents the total amount of A (in dollars) you have after selling w cups of water Identify the organs of digestion being described select your answer from the list. normal body temperature Almost half of the US states have enacted so-called Right to Work laws. Explain what these laws are. Use your text and web sources to get a clear understanding of these laws, and whether they are fair to unions and union members. Look at the issue from both the union's point of view and from the point of view of employees who don't want union representation. Make your answer complete for full credit. How far dose a kangaroo travel in 2 minutes What law of motion corresponds with this statement?"A rifle kicks."first lawthird lawsecond law Lily needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.5 hours and charged her $159 for parts. The total was $456.50. Write and solve an equation which can be used to determine x x, the cost of the labor per hour. help plz (asap) .............................................................................. Skeletal systems defends the body against pathogens Analyze the map of southern Africa below and answer the question that follows. A topographic map of Southern Africa with labels A, B, C, D, E, and F. A is a river through the Congo. B is a lake near Uganda and Kenya. C is a lake on the border of Tanzania. D is a river near Zambia and Zimbabwe. E is a lake near Malawi. F is an island in the Indian Ocean. Image by Tom Patterson and Eric Gaba On the map above, which landform is Lake Victoria? A. letter A B. letter B C. letter C D. letter E Please select the best answer from the choices provided A B C D