What is the equation of the line that passes through the point (4,11) and is perpendicular to the line with the following equation? Y=4/3x+7

Answer:

The triangle formed is Equilateral triangle.

I have taken Perpendicular = P ( you can say M)

√400 - x²  = OP (OM)

√3 x = AP (AM)

The length of the string of each person = 20√3 m

Step-by-step explanation:

As given , circular park with radius 20m

Let , Ankur sit on boundary point A

       Syed sit on boundary point S

       David sit on boundary point D

As given,

Ankur, Syed and David are sitting at equal distance on its boundary

⇒AS = AD = SD

Let AS = AD = SD = 2x

As the sides are equal

⇒ The triangle formed is Equilateral triangle.

Now,

Draw a perpendicular on the side SD

Let OP be the perpendicular

⇒SP = PD = [tex]\frac{1}{2}[/tex]SD = [tex]\frac{1}{2}. 2x = x[/tex]

So, we get

SP = x , PD = x

Now, Draw the line OS and OA

AS , we can see that ,

ΔOPS and ΔAPS are right angle triangle ,

So , apply Pythagoras theorem to ΔOPS and ΔAPS

In ΔOPS

OS² = OP² + PS²

⇒20² = OP² + x²

⇒400 - x² = OP²

⇒√400 - x²  = OP

Now,

In ΔAPS

AS² = AP² + PS²

⇒(2x)² = AP² + x²

⇒4x² - x² = AP²

⇒√3x²  = AP

⇒√3 x = AP

Now,

We can see that,

AP = AO + OP

⇒√3 x  = 20 + √400 - x²

⇒√3 x  - 20 + = √400 - x²

Squaring both side

⇒(√3 x  - 20 )²= (√400 - x²)²

⇒3x² + 400 - 40√3 x = 400 - x²

⇒3x² + x² =  40√3 x

⇒4x² = 40√3 x

⇒x = 10√3

∴ we get

AS = SD = AD = 2(10√3) = 20√3 m

⇒The length of the string of each person = 20√3 m

Answer:

32

Step-by-step explanation:

since there are 4 parts, multiply 8 by 4

Answer:

The answer is C. $16,780

Step-by-step explanation:

Answer:

c, 16,780

Step-by-step explanation:

plato

Answer:

Step-by-step explanation:

Three tenths is 3/10 or 30/100 so if we take three hundreds from this it is 27 over hundred ( 27/100).

Answer: c

Step-by-step explanation: because 7 squared is 49 and 8 squared is 64

nvm i read the question wrong

Step-by-step explanation:

the person above is correct

Answer

86

Step-by-step explanation:

You can spend 86 on each family member. 386-42=344

344/4=86

Answer:

-y^4+4y

Step-by-step explanation:

Answer:

Add each side of the rectangle together to get the perimeter.

Step-by-step explanation:

Subscribe to Clutch Gam3r on YT

Answer:

5050

Step-by-step explanation:

Gauss has derived a formula to solve addition of arithmatic series to find the sum of the numbers from 1 to 100 as follows:

1 + 2 + 3 + 4 + … + 98 + 99 + 100

First he has splitted the numbers into two groups (1 to 50 and 51 to 100), then add these together vertically to get a sum of 101.

1 + 2 + 3 + 4 + 5 + … + 48 + 49 + 50

100 + 99 + 98 + 97 + 96 + … + 53 + 52 + 51

1 + 100 = 101

2 + 99 = 101

3 + 98 = 101

:

:

:

:

48 + 53 = 101

49 + 52 = 101

50 + 51 = 101

It was realized by him that final total will be fifty times of 101 means:

50(101) = 5050.

Based on this, Gauss has derived formula as:

The sequence of numbers (1, 2, 3, … , 100) is arithmetic and we are looking for the sum of this series of sequence. As per Gauss, the special formula derived by him can be used to find the sum of this series:

S is the sum of the series and n is the number of terms in the series, in present case, from 1 to 100, Hence

As per the Gauss formula, the sum of numbers from 1 to 100 will be 5050.

Answer : 5050

As per the given ratio comparison, We can say that the Second job generates the most income and that position makes him $5 per hour.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, An employee working 40 hours per week earns a salary of $600 per week but gets a second job offer to work 40 hours per week, hourly at $20 an hour.

For the first job, we will calculate the ratio of the employee Salary to the working hours to compare with the salary of the Second job:

Since,

He makes $600 per week for working 40 hours

Thus,

His hourly salary = 600/40

His hourly salary will be $15.

For the second job, it is already mentioned that the employee gets $20 per hour for the same working hours.

therefore, the Second job generates the most income and that position makes him $5 per hour.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ6

The height of the cone in figure 2 is 4.5 centimeters.

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram, the two cone are similar. Let h represent the height of the cone in figure 2, hence:

h/3 = 12/8

h = 4.5 cm

The height of the cone in figure 2 is 4.5 centimeters.

Find out more on Similar figure at: https://brainly.com/question/4014697

Answer:

4.5

Step-by-step explanation:

Answer:

False

Hope my answer helps you pls mark me as brainiest :)

Answer:

Since there is no initial condition, the exact value of v cannot be determined, but you can set the equation up for a general evaluation of the situation.

s = 1/2a^2*v+c

First you need to subtract c from both sides to get

s-c = 1/2a^2*v

then you can just divide both sides by 1/2a^2 to get v

(2(s-c))/a^2=v

when dividing a fraction, such as 1/2, make sure to keep in mind that you're really multiplying the flipped version, so that dividing by 1/2 means multiplying by 2.

Step-by-step explanation:

Answer:

0.8340

Step-by-step explanation:

The aim of this question is to find the probability that the student makes it to the second class prior to when the lecture commences.

Provided that A, B, and C are independent of each other from the full complete question.

Then; we want P(A + C < B)

So A [tex]\sim[/tex] N (2, 1.5)

B [tex]\sim[/tex] N (10, 1)

C [tex]\sim[/tex] N (6, 1)

P(A + C - B < 0)

Since they are normally distributed( i.e. A + C - B)

Then;

E(A + C -B) = E(A) + E(C) - (B)

E(A + C -B) = 2 - 10 + 6

E(A + C -B) =  -2

Var(A+C -B) = Var(A) + Var (B) + Var (C)

Var(A + C -B) = (1.5)² + (1)² + (1)²

Var(A + C -B) = 4.25

The standard deviation = [tex]\sqrt{4.25}[/tex]

The standard deviation = 2.06155

[tex]P(A+C-B) = p \Big (Z < \dfrac{0-(-2)}{2.06155} \Big )[/tex]

[tex]P(A+C-B) = p \Big (Z \le 0.97014 \Big )[/tex]

[tex]\mathbf{P(A+C-B) = 0.8340}[/tex]

Answer:

Anything??

Step-by-step explanation: (Im joing btw didnt want to offend anyone lol)

x=40

[tex]\color{plum}m∠ABC = 71° [/tex]

Which means :

m∠ABC = ∠ADC (opposite angles of a parallelogram)

m∠ABC :

= 37° + 34°

= 71°

Thus, the measure of ∠ABC = 71°

Let us find the measures of the other angles as well :

m∠BCD + m∠ADC = 180°

m∠BCD + 71 = 180°

m∠BCD = 180 - 71

m∠BCD = 109°

Thus, the measure of∠BCD = 109°

m∠BCD = ∠BAD (opposite angles of a parallelogram)

m∠BAD = 109°

Thus, the measure of ∠BAD = 109°

Therefore, m∠ABC = 71°

Answer:

Step-by-step explanation:

Given isosceles trapezoid AB = CD

Angles B and C are congruent and angles A and D are congruent.

A and B, as well as C and D sum to 180 as supplementary angles, therefore:

Answer:

m/6+  n/3  +1/2  

Step-by-step explanation:

Answer: The answer is two.

Step-by-step explanation: start by making a tree diagram and dividing all three numbers by two. Each number needs to end in whole numbers with no decimals or fractions. 1248 will be 624, 2024 will be 1012, and 1070 will be 535. Then as you keep dividing the only numbers that match together is two on all three as you will get 3 and 13 added to 1248, 11 and 23 added to 2024, and 5 and 107 to 1070. The only numbers that match are two so your answer is two.

Step-by-step explanation:

hope it's right :)

Answer:

10 i think

Step-by-step explanation:

Answer:

Notice that distance is always positive or 0. (-3)

Step-by-step explanation:

9514 1404 393

Answer:

  all are No

Step-by-step explanation:

The given triangle is ΔABE, where AB is the hypotenuse and BE is the long side.

In each of the other triangles listed, The first two letters are not the name of the hypotenuse, so none are similar.

_____

Additional comment

The similar triangles would be ΔADB, ΔEDC, ΔBEC, and ΔBDE.

Answer:

all of them are

Step-by-step explanation:

Answer:

6x+6y+6

Step-by-step explanation:Distributive property and adding