find the value of Y
.....

Find The Value Of Y.....

Answers

Answer 1

Answer:

[tex] y = 6 \sqrt{3} \: units[/tex]

Step-by-step explanation:

In order to find the value of y, first we need to find the length of the perpendicular dropped from one of the vertices of the triangle to its opposite side.

By geometric mean theorem:

Length of the perpendicular

[tex] =\sqrt{9\times 3}[/tex]

[tex] =\sqrt{27}\: units [/tex]

Next, by Pythagoras theorem:

[tex] {y}^{2} = {9}^{2} + {( \sqrt{27} )}^{2} \\ \\ {y}^{2} = 81 + 27 \\ \\ {y}^{2} = 108 \\ \\ y = \sqrt{108} \\ \\ y = \sqrt{36 \times 3} \\ \\ y = \sqrt{ {6}^{2} \times 3} \\ \\ y = 6 \sqrt{3} \: units[/tex]


Related Questions

Liam spent $4.76 on a salad bowl, and $3.81 on a cup of coffee. He paid using TWO ten dollar bills. What was Liam's change?

Answers

Answer:

11.43

Step-by-step explanation:

You can start this by adding the total cost of the salad and the coffee.

4.76 + 3.81 = 8.57

Then you have the paid amount of 20 bucks because there was two tens.

20 - 8.57 = 11.43.

$1.43 is your answer-



Find the length of TU.​

Answers

Answer:

0.5 (8x+15)?

Step-by-step explanation:

i really hope this helps-

not the greatest at math ._.

Step-by-step explanation:

I hope ill help you.

TU(4x+7.5)

Andy and Beth are walking at a constant pace around a circular track. At one point, Andy turn and walks at the same pace directly to the flag pole at the center of the track while Beth continues at the same pace around the track How far did Beth walk, in radians, after they separated?

Answers

Answer:

?

Step-by-step explanation:

please help thank you

Answers


I don’t know it is really hard to learn

Answer:

50  ft²

Step-by-step explanation:

ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also

2(25) = 50 sq feet

a rectangular lawn of dimensions 6x metres by x metres. In the centre is a rectangular flower bed of length (x + 4) m and width (x - 1) m. If the area of the shaded region is 40 m’, calculate the area of the flower bed.​

Answers

Answer:

The area of flower bed is 8.96 m^2.

Step-by-step explanation:

Length of lawn = 6 x

width of lawn = x

length of flower bed = x + 4

width of flower bed = x - 1

Area of shaded region = 40 m^2

Area of the shaded region

6 x (x) - (x +4)(x -1) = 40

[tex]5 x^2 - 3 x - 36 = 0 \\\\x = \frac{-3\pm\sqrt{9 + 720}}{10}\\\\x = \frac{-3\pm 27}{10}=2.4 m, - 3 m[/tex]

As length cannot have negative value, so x = 2.4 m.

Area of flower bed = (x + 4)(x - 1) = (2.4 + 4)(2.4 - 1) = 8.96 m^2

Solve 5x2-2x-8=0 using the quadratic formula.

Answers

Answer:

[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]

Step-by-step explanation:

The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].

In [tex]5x^2-2x-8=0[/tex], we can assign the values:

[tex]a[/tex] of 5[tex]b[/tex] of -2[tex]c[/tex] of -8

Thus, we have:

[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]

Answer:

(1+√41)/5, (1-√41)/5

Step-by-step explanation:

quadratic formula is (-b±√(b^2-4ac))/2a

in this equation,

a = 5

b = -2

c = -8

plug in the values

(2±√(4 - 4(5)(-8))/10

(2±√(4 + 160)/10

(2±√(164)/10

(2±2√(41))/10

1. (2+2√41)/10

(1+√41)/5

2. (2-2√41)/10

(1-√41)/5

2x²+5x-3=0
using completing the square method​

Answers

Answer:

[tex]2 {x}^{2} + 5x - 3 = 0 \\ 2( {x}^{2} + \frac{5}{2} x - \frac{3}{2} ) = 0 \\ 2( {x}^{2} + \frac{5}{2} x + {( \frac{5}{4} )}^{2} ) - \frac{3}{2} - {( \frac{5}{4} )}^{2} ) = 0 \\ ( {(x + \frac{5}{4} )}^{2} = \frac{49}{16} \\ x + \frac{5}{4} = ± \frac{7}{4} \\ x = 0.5 \: \: and \: \: 3[/tex]

Answer:

x= [tex]\frac{1}{2}[/tex]     or     x= -3

Step-by-step explanation:

[tex]\boxed{x^{2} +kx=(x+\frac{k}{2})^{2} -(\frac{k}{2})^{2} }[/tex]

First ensure that the coefficient of x² is 1.

x² +[tex]\frac{5}{2}[/tex]x -[tex]\frac{3}{2}[/tex]= 0

[x +([tex]\frac{5}{2}[/tex] ÷2)]² -([tex]\frac{5}{2}[/tex] ÷2)² -[tex]\frac{3}{2}[/tex]= 0

(x +[tex]\frac{5}{4}[/tex])² -([tex]\frac{5}{4}[/tex])² -[tex]\frac{3}{2}[/tex]= 0

(x +[tex]\frac{5}{4}[/tex])²- [tex]\frac{25}{16}[/tex] -[tex]\frac{3}{2}[/tex]= 0

(x +[tex]\frac{5}{4}[/tex])² -[tex]\frac{49}{16}[/tex]= 0

(x +[tex]\frac{5}{4}[/tex])²= [tex]\frac{49}{16}[/tex]

x +[tex]\frac{5}{4}[/tex]= [tex]\sqrt{\frac{49}{16} }[/tex]                (square root both sides)

x +[tex]\frac{5}{4}[/tex]= ±[tex]\frac{7}{4}[/tex]

x= -[tex]\frac{5}{4}[/tex] +[tex]\frac{7}{4}[/tex]       or       x= -[tex]\frac{5}{4}[/tex] -[tex]\frac{7}{4}[/tex]

x= [tex]\frac{1}{2}[/tex]             or       x= -3

PLEASE HELP!!
ILL GIVE MORE POINTS TO THE FASTEST ANSWER

Answers

It’s really easy do not make it complicated on yourself!

Fist thing you should know ANY NUMBER WHICH IS TO POWER ZERO THE ANSWER WILL ALWAYS BE ONE!!

Part A : (7^2)^x is (49)^x

(49)^x = 1 , here is basically asking you what’s the value of X to know which number to the power of 49 to put so that it equals to 1, obviously the answer is 0 as we said before ANY NUMBER TO THE POWER OF 0 , the answer will be 1

Part A = 0
————————-

Part B IS GONNA BE WAY EASIER NOW TRUST ME!!

(7^0) = 1

(1)^x = 1

So now is asking what number to put for x for you to multiply by one to get one it’s obviously 1, because 1 x 1= 1

Part B = 1
————-
I hope you understand my explanation so good luck and best of wishes!!

Sasha and Donnel run separate lawn care business. Sasha's charge is represented by
the curve and Donnel's is represented by the line. Sasha charges $1 per meter
square of lawn, and Donnel charges $1 per perimeter side.
Choose the appropriate equation for Sasha and Donnel respectively:
Oy= 4.rº, y
y = 0
Oy= 42, y=
22
Oy= 2², y = 42
Oy= x, y= 42

Answers

Can you edit it because I don’t understand

The answer ISN’T -9/5,3.

Don't have to explain, but if u want then to ahead.

Thank you! :)

Answers

Answer:  [-1.8, 3]

Don't forget the square brackets.

=============================================

Work Shown:

[tex]|5x-3| \le 12\\\\-12 \le 5x-3 \le 12\\\\-12+3 \le 5x-3+3 \le 12+3 \ \text{ ... see note 1}\\\\-9 \le 5x \le 15\\\\-9\div 5 \le 5x\div 5 \le 15\div 5 \ \text{ ... see note 2}\\\\-1.8 \le x \le 3\\\\[/tex]

note 1: I added 3 to all sides to undo the "-3" in the middle.

note 2: I divided all sides by 5 to go from 5x to x (ie it undoes the multiplication on x).

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

From there, we convert from compound inequality notation to interval notation.

Something in the form [tex]a \le x \le b[/tex] converts to the interval notation [a,b]

The square brackets say to include the endpoint.

So [tex]-1.8 \le x \le 3[/tex] converts to the final answer of [-1.8, 3]

x is any real number between -1.8 and 3, including both endpoints.

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

It appears you had the right idea. You just needed to convert -9/5 to -1.8, and you also needed to surround everything with square brackets.

If your teacher wanted the answer in fraction form, then you would say [-9/5, 3]

how to solve 9r^6/5r^3g^2

Answers

Answer:

9r^6 - 3g^2 / 5

Step-by-step explanation:

I think this would be the answer. Sorry if I am incorrect :')

isaiah draws three different diagrams to represent the samples space of picking a marble from the bag and spinning the spinner . NEED HELP NOWWW YOU WILL GET BRAINLIEST FASTTT

Answers

Answer:

Step by step explanation:

What are the dimensions of the rectangle shown on the coordinate plane?

Answers

The base is 5 units and the height is 4 units.

Hope this helps! :)

. Which of these could be the side lengths of a right triangle? Highlight all possible answers. A. 4-7-10 B. 36-48-60 C. 6-10-14 D. 14-48-50

Answers

Answer:

B. ) 36-48-60

Step-by-step explanation:

From Pythagoras theorem, we can determine the sides of the triangle by testing the options

a^2 + b^2 = c^2

Then test the options

B. ) 36-48-60

36^2 + 48^2 = 60^2

3600 + 2304 = 3600

3600= 3600

Since both sides have equal values, then OPTIONS B express a correct sides of the triangle

C.) 6-10-14

6^2 + 10^2 = 14^2

36+ 100= 196

136= 196( it doesn't make an equality then it's not the answer

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

63/10,  6.396,  6.99,  7 4/11

Step-by-step explanation:

Convert all to fraction or decimal

What is the median of this data set? Enter your answer as a decimal in the box median=​

Answers

Median is the middle value.

Writing the values from smallest to largest you have :

1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8

There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.

The Median is 2/8

Answer:

2/8 is the median. In decimal, it is 0.25.

Happy learning!

--Applepi101

The triangle is isosceles find the length h of side x in simplest radical form with a rational denominator

Answers

Answer:

x = √3

Step-by-step explanation:

Find the diagram attached

Given

Opposite = √3

Adjacent = x

Acute angle theta = 45degrees

According to SOH CAH TOA;

tan theta = opp/adj

tan 45 = √3/x

x = √3/tan45

x = 1

x = √3

Hence the value of x in its simplest radical form is √3

Victor wanted to know the height of a tree at his friend’s house. On Saturday morning, he measured the shadow of the tree along the ground to be 24 feet long. At the same time, he measured his own shadow to be 3 feet long. Victor is 6 feet tall. Find the height of the tree

Answers

The shadow of the tree is 12ft long. Divide the height of the tree (24) by Victors height (6), which will equal 4. Then multiple 4 and the height of victors shadow. (this is my first time doing this, hope it helped:)

Ratio remains same

Let that be x

[tex]\\ \rm\rightarrowtail \dfrac{6}{3}=\dfrac{x}{24}[/tex]

[tex]\\ \rm\rightarrowtail 2=x/24[/tex]

[tex]\\ \rm\rightarrowtail x=48[/tex]

HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE

Answers

The correct answer is x = 6

Write 1/3 x^2 - 4x + 17 in vertex form

Answers

Answer:

f(x)=−4(x+ 41 ) 2 − 4 11

Explanation:

The given function is

f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3

To write the function is vertex form, we need to complete the square.

We first factor -4 to get:

f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3

Add and subtract the square of half the coefficient of x.

f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3

We factor the perfect square trinomial and simplify to get:

f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11

If the height and radius of a cylinder are doubled, how will the volume of the cylinder be affected?

the volume will double
the volume will quadruple
the volume will increase by a factor of six
the volume will increase by a factor of eight

ANSWER QUICK PLEASE!!!

Answers

Hope this helps!!!

Have a great day!!!

The volume will increase by a factor of eight.

What is Volume of Cylinder?

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder's volume is given by the formula, πr²h, where r is the radius of the circular base and h is the height of the cylinder.

Volume of Cylinder = πr²h

Put, r = 2R, h = 2H

New volume of Cylinder  = π (2R)².2H

                                = π.4R².2H

                                = 8πR²H

                                = 8V

Thus, the volume will increase by a factor of eight.

Learn more about volume of cylinder from:

https://brainly.com/question/16788902

#SPJ2

There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 3 8 . There are 21 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be.

Answers

Answer:

Number of milk chocolate in beg = 56

Step-by-step explanation:

Given:

Probability of randomly choosing a dark chocolate = 3/8

Number of dark chocolate = 21

Find:

Number of milk chocolate in beg

Computation:

Number of milk chocolate in beg = Number of dark chocolate / Probability of randomly choosing a dark chocolate

Number of milk chocolate in beg = 21 / [3/8]

Number of milk chocolate in beg = 21[8/3]

Number of milk chocolate in beg = 7[8]

Number of milk chocolate in beg = 56

HELP PLSSSSSSSZzzzzzzzzzzzz

Answers

Answer:

w equal to 9z

or z equals to w/9

I need help I’m stuck

Answers

The answer is b and have a nice day

Find WX. Assume that segments which appear to be tangent are tangent.

Answers

Answer:

Step-by-step explanation:

Tangent from the point outside the circle are equal

WX  = XY

7x - 29 = 2x + 16 {Add 29 to both sides}

7x  = 2x + 16 +29

7x = 2x + 45 {Subtract 2x from both sides}

7x - 2x = 45

5x = 45     {Divide both sides by 5}

x = 45/5

x = 9

WX = 7x - 29

       = 7*9 - 29

        = 63 - 29

WX = 34

express the following number in words; 3468729165​

Answers

Answer:

three trillion four hundred and sixty eight million, seven hundred and twenty nine thousand and one hundred sixty five

Step-by-step explanation:

Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5 cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?

Answers

Answer:

Kiera has a lower ratio of raisins to nuts. (2:5)

Step-by-step explanation:

To find this, you would have to make the number of nuts the same in each to accurately compare them.

It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)

Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)

So I multiplied both the 2 and the 5 in 2:5 by 6 first.

Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.

So Kiera will have 12:30 and Desmond will have 15:30.

Then you can conclude that Kiera has the lower ratio.

help pleaseee

find the equation of the line passing through (-5, -4) and (13, 5)

Answers

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-4) / 13 - (-5)

9 / 18

1/2

y = 1/2x + b

-4 = 1/2(-5) + b

-4 = -5/2 + b

-3/2 = b

Solve the system of equations.
y = 2x
y = x2-8
O A. (2, 4) and (-4,-8)
O B. (-2,-4) and (-4,-8)
O C. (2, 4) and (4,8)
O D. (-2,-4) and (4,8)​

Answers

Answer:

D

Step-by-step explanation:     Time Stamp (6  9  10  32)

Easiest way is to graph both equation and look for the intersections  see attached sreen shot

or  solve by substitution

y = 2x

y = x²- 8

2x = x²- 8                  solve for x

0  = x² - 2x - 8          factor

0 = (x - 4)(x + 2)

0 = 0   when x = 4 and -2      

calculate the y values

y = 2x      x = 4

y = 8                              (4, 8)

y = 2x      x = -2

y = -4                            (-2, -4)

     

Question Progress
Homework Progress
136 / 283 Marks
d
+ 2
- +
Make d the subject of the formula h: h=d/3+2

Answers

Answer:

d = 3h - 6

Step-by-step explanation:

Given

h = [tex]\frac{d}{3}[/tex] + 2 ( subtract 2 from both sides )

h - 2 = [tex]\frac{d}{3}[/tex] ( multiply both sides by 3 )

3(h - 2) = d , that is

d = 3h - 6

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