"Find y". I got this wrong and want to understand why and how to do the problem. Can someone please help?

"Find Y". I Got This Wrong And Want To Understand Why And How To Do The Problem. Can Someone Please Help?

Answers

Answer 1

Answer:

[tex]y=\frac{15\sqrt{3} }{4}[/tex]

Step-by-step explanation:

Well what you have here are two right triangles within another right triangles created by an altitude. This results in 3 similar triangles (see attached for reference)

As a result , using the properties of similar triangles, and taking ratios of their sides of the medium triangle and the largest triangle, we can form the following relationship:

[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{a+b}[/tex]  (we know that a+b = 15), hence the equation becomes:

[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{15}[/tex]  ----------eq 1

If we consider the largest triangle, we will see that

cos 30° = z / 15

but from our special angles (see second attachment) we know that cos 30° = (√3)/2

hence

(√3)/2 = z / 15

z = (15√3) / 2 --------eq 2

from the same largest triangle, we will also see that

sin 30° = x / 15

similarly from our special angles, we know that sin 30° = 1/2

hence,

1/2 = x/15

x = 15/2 --------eq 3

now that we have values for x and z, we can neglect the first term of equation 1 and form an equality with x, y and z

[tex]\frac{y}{x} = \frac{z}{15}[/tex]

[tex]y = x\frac{z}{15}[/tex]  (substituting the values for x and z that we found above)

y = (15/2) · [ (15√3) / 2] / 15

y = (15√3) / 4

[tex]y=\frac{15\sqrt{3} }{4}[/tex]

"Find Y". I Got This Wrong And Want To Understand Why And How To Do The Problem. Can Someone Please Help?
"Find Y". I Got This Wrong And Want To Understand Why And How To Do The Problem. Can Someone Please Help?

Related Questions

Given C=n+15, determine the value of C when n=4

Answers

Answer:

19

Step-by-step explanation:

If N=4 and the problem is C= N+15 that means you add 4 to 15 and then get 19 which will be your answer for C. You can also check this by subtracting 19-15 or 19-4!!! I hope this helps!!! Have a great day whom ever you are

HLEP MEE!!!!
Solve for Y!

Answers

Answer:

y = 10

Step-by-step explanation:

120 + 6y = 180

6y = 60

y = 10

Answer:

y = 10

Step-by-step explanation:

6y + 120 = 180

6y = 60

y = 10

16. Find the values of x and y. (2y + 5) (5x - 17) (3x – 11)º

Answers

Answer:

x = 26

y = 9

Step-by-step explanation:

(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)

Solve for x

5x - 17 + 3x - 11 = 180

Collect like terms

5x + 3x - 17 - 11 = 180

8x - 28 = 180

Add 28 to both sides

8x = 180 + 28

8x = 208

Divide both sides by 8

x = 208/8

x = 26

Also:

(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)

Plug in the value of x and solve for y

2y + 5 + 90 + 3(26) - 11 = 180

2y + 5 + 90 + 78 - 11 = 180

Collect like terms

2y + 162 = 180

Subtract 162 from both sides

2y = 180 - 162

2y = 18

y = 9 (dividing both sides by 2)

-4 1/2 divided by (-2 2/3

Answers

Answer:

1 11/16

Step-by-step explanation:

Answer:

1 11/16

Step-by-step explanation:

Convert mixed numbers into improper fractions:

-4 1/2

Step 1: whole number x denominator + numerator

-4 x 2 + 1 = -9

Step 2: write that number over your original denominator

-9/2

Step 3: repeat for other fraction

-2 2/3

-2 x 3 + 2 = -8

-8/3

Step 4: copy, dot, flip

-9/2 × -3/8

Step 5: solve

27/16

Step 6: convert back to mixed number

1 11/16

*note* Negative x negative = positive

Convert 2.42 to percent

Answers

Answer:

242%

Step-by-step explanation:

Answer:

242%

Step-by-step explanation:

Whole numbers are a 100% each, so there's 200%. Tenths are 10% every tenth, so 40%, and hundredths are 1% every hundredth, so 2%.

200+40+2=242%

If it was helpful, could you plz consider giving me brainliest?

6x + 8 = 62 slove for x

Answers

Answer:

4.428571429

Step-by-step explanation:

You have to do 8+6 then 62 divided by 14 and then thats what your x equals.

Answer:

x=9

Step-by-step explanation:

start with

6x+8=62

subtract 8 from each side

6x=54

divide each side by 6

x=9

Which statements about opposites are true?

Answers

Answer:

The opposite of a negative number is always positive.

Step-by-step explanation:

Answer:

Opposites always have the same absoulute value.

Step-by-step explanation:

^^^^ I don't fully know what type of question you are asking but here is my answer ^^^^

4. Solve x -- 7 = 25.
A 18
B 32

Answers

Answer:

B

Step-by-step explanation:

b okay it b good

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HELP PLEASE

If y varies directly with x and y = 26 when x = 8, write the equation that represents this direct variation relationship
Oy - 4x + 13
Oy=13x +4

Answers

Answer: y= 13 over 4x

Step-by-step explanation: trust me king


The maximum speed that an X43A plane can reach is 7,500 miles per hour. At this speed, how many feet
can the X43A travel in 1 second? (1 mile = 5,280 feet)

Answers

Answer:

11000 feet/seconds

Step-by-step explanation:

This problem requires that we convert from miles per hour to feet per seconds

Given that the speed of the X43A plane is 7500 mph

and that 1 mile = 5,280 feet)

[tex]=\frac{7500miles}{h} *\frac{5280 feet}{mile} \frac{1hour}{3600 seconds} \\\\=\frac{7500*5280}{3600} \\\\=\frac{396*10^5}{3600} \\\\=11000 feet/seconds\\\\=11*10^3feet/seconds\\\\[/tex]

Therefore the speed of the X43A plane in feet per second is 11000

y/-5=1/10
Enter your answer as a reduced fraction.

Answers

Answer:

1/2

Step-by-step explanation:

y/-5=1/10

multiply -5 on both sides

y/-5 x -5 - cancels

1/10 x -5/1

1/10 x -50/10 = 5/10 = 1/2

so then its y=1/2

Determine whether the given segments have the same length. Drag and drop each number
into the correct box to complete the justification of your answer. BC and EF

Answers

Answer:

Step-by-step explanation:

Length of a segment between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Coordinates of extreme ends of BC and EF are,

B(1, 4), C(3, -2), E(-3, -2) and F(-1, 1)

Length of BC = [tex]\sqrt{(1-3)^2+(4+2)^2}[/tex]

                      = [tex]\sqrt{4+36}[/tex]

                      = [tex]2\sqrt{10}[/tex] ≈ 6.32 units

Length of EF = [tex]\sqrt{(-3+1)^2+(-2-1)^2}[/tex]

                     = [tex]\sqrt{4+9}[/tex]

                     = [tex]\sqrt{13}[/tex] ≈ 3.61 units

The length of BC is 6.32. The length of EF is 3.61.So, BC and EF don't have the same length.

what is 5 1/12 -3 5/12?​

Answers

Answer:

the answer is -5/6 hope this helps

Find a − b when a = −7 and b = 11.

Answers

Answer:

-18

Explanation:

a - b

a = -7

b = 11

Insert -7 for 'a' and 11 for 'b'

-7 - 11

= -18

A line passes through point (-6, -1) and is parallel to the equation y2x-5.
What's the equation of the line?

Answers

Answer:

Step-by-step explanation:

If 2x=4(5−2x), then x =

Answers

Answer:

here's your answer

hope this helped you

please mark as the the brainliest(ㆁωㆁ)

Step-by-step explanation:

2x=4(5-2x)2x=20-8x2x+8x=2010x=20x=2

PLEASE ANSWER FAST

Find the square root of 16.
O a
-4
Ob
4
Ос
+4
Od
-8

Answers

the square root of 16 is 4

Answer:

the square root of 16 is 4

the sum of 3 numbers is 114. the second number is 4 times the third the third number is 6 more than the first

Answers

Answer:

let the three numbers be x,y,z

X= z-6

Y= 4z

Z= z

Step-by-step explanation:

X+Y+Z=114

hence

=z-6+4z+z=114

=collect like times. X= 20-6=14

= z+4z+z=114+6. Y= 20*4=80

=6z=120. . Z= 20

z=20

Answer:

  14 + 20 + 80 = 114

Step-by-step explanation:

Let's begin by representing our 1st number as x.

Then our 2nd number is said to be 6 more than the 1st number, which we can represent as x + 6.

Lastly, our 3rd number is said to be 4 times the 2nd number, which we can represent as 4(x + 6).

Now can write our equation to express the sum of these three numbers as 114 and then solve for x to find the values of these three numbers:

   x + (x + 6) + 4(x + 6) = 114

   x + x + 6 + 4x + 24 = 114

   6x + 30 = 114

   6x = 114 - 30

   6x = 84

     x = 84/6 = 14 (1st number)

     x + 6 = 14 + 6 = 20 (2nd number)

     4(x + 6) = 4(20) = 80 (3rd number)

We can check our answers by adding these numbers up to see if their sum is 114:

    14 + 20 + 80 = 114

    34 + 80 = 114

    114 = 114

Their sum is 114, so we are confident that our three numbers are correct.

-Hope this helps

PLS MARK ME BRAINLIEST

A line has a slope of 2 and passes through the point ( -1, 3). Write an equation in slope intercept form

Answers

Answer:

y=2x+5

Step-by-step explanation:

The equation of a line in slope intercept form is written as: y=mx +b where m is the slope and b is the y-intercept.

Taking point (-1,3) , m= 2 and imaginary point on the line, (x,y) then ;

m=change is y-coordinates/change in x-coordinate

m=Δy/Δx

m=y-3/x--1

2= y-3 / x+1

2(x+1) = y-3

2x +2 =y-3

2x=y-3-2

2x=y-5

y=2x+5 is the equation.

Answer:b

Step-by-step explanation:

The circumference of a circle is 16Pi ft

Answers

Area of the circle: 64π ft²

Radius of circle: 8 ft

The circumference formula: C = d · π

We can plug in the values we know.

16π = d · π; We can cancel out the π, as it is on both sides.

d = 16ft; r = 8ft

The area formula: A = πr²

A = 64π ft²

A 34 inch baseball bat is resting 6 inches from the base of a play house as shown how far up on the Playhouse is a baseball bat resting round to the nearest 10th

Answers

28 is the answer so c

Which statement about the graph is true? 7 6 5 2 3 2 1 1 2 3 4 5 6 7 8 x O The graph shows a proportional relationship because it is a line, and the difference between each point is the same. The graph shows a proportional relationship because it is a line, and each x-value isha multiple of 2. O The graph does not show a proportional relationship because each point written as a ratio gives a different value.​

Answers

Answer:

I think but it can also be the first one

The graph shows a proportional relationship because it is a line, and each x-value isha multiple of 2.

I am in 9th grade,if you have 889,865x999,786 what doe it equal also yes i am not in virtual school and teacher will not let me use a calculatar

Answers

Answer:

889674568890

Step-by-step explanation:

I used a calculator :)

Help! ASAP!!!

Use the map shown below to find the distance between cities A and B to the nearest tenth.

Answers

Answer:

7.2 units

Step-by-step explanation:

Coordinates of city A = (0, 0)

Coordinates of city B = (6, 4)

Use the distance formula to find the distance between the two cities as follows:

[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] A(0, 0) = (x_1, y_1) [/tex]

[tex] B(6, 4) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] AB = \sqrt{(6 - 0)^2 + (4 - 0)^2} [/tex]

[tex] AB = \sqrt{(6)^2 + (4)^2} [/tex]

[tex] AB = \sqrt{36 + 16} = \sqrt{52} [/tex]

[tex] AB = 7.2 [/tex] (nearest tenth)
























Simplify.

4−16÷4+42




















Item 5
Simplify.

4−16÷4+42

Answers

Answer:

42

Step-by-step explanation:

16 dividied by 4 is 4

4 minus 4 is 0

and 0 plus 42 is 42

Answer:

45

Step-by-step explanation:

4-16÷4+42

12÷4+42

3+42

45

What is the difference?
77 – 43.6 =
A. 23.3
B. 33.4
O C. 34.6
OD. 44.1

Answers

Answer:

B. 33.4

Step-by-step explanation:

77 - 43.6 = 33.4

33.4
You’re just subtracting them

What type of angle is angle M? A. Acute B. Obtuse C. Straight or D. right

Answers

Step-by-step explanation:

acute angle is a tiny angle obtuse is a wide 180 straight is just a straight line and a right angle is a right angle which equals 90 degrees

Answer:

Acute angle refers to angle less than 90

Obtuse angle refers to angle greater than 90 but less than 180

straight line angle is equal to 180

right angle is equal to 90

1.) (-18, -20) (18, 16)

2.) (-7, 14) (-11, 4)

3.) (-5, -4) (3, 9)

4.) (13, -8) (-9, -1)

Answers

1.) (-18, -20) (18, 16)

m= 1

2.) (-7, 14) (-11, 4)

m= 5/2

3.) (-5, -4) (3, 9)

m= 13/8

4.) (13, -8) (-9, -1)

m= -7/22

Which number is equivalent to 4/5?
A. 25
100
B. 0.2
O C.
16
100
D. 0.8
PLEASE HELP ASAP

Answers

the answer is D . (0.8)

Answer:

D) 0.8

Step-by-step explanation:

To get this answer, divid 4 by 5! 4 divided by 5 is equivalent to 0.8!

Find an equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 3; containing the point (5,-4)
What is the equation of the line?
y =

Answers

Answer:

y = 3x - 19

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

Slope m = 3

Random point (5, -4)

Step 2: Plug in known variables

y = 3x + b

Step 3: Find b

-4 = 3(5) + b

-4 = 15 + b

b = -19

Step 4: Write linear equation

y = 3x - 19

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