a = 11m, b = 8m and C = 2m for the triangle shown below.
Work out the value of x, giving your answer as an exact surd.
The diagram is not drawn accurately

A = 11m, B = 8m And C = 2m For The Triangle Shown Below.Work Out The Value Of X, Giving Your Answer As

Answers

Answer 1

Answer:

x = [tex]\sqrt{53}[/tex]

Step-by-step explanation:

Using Pythagoras' identity on the upper right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Let the third side be d, then

d² + b² = a² , that is

d² + 8² = 11²

d² + 64 = 121 ( subtract 64 from both sides )

d² = 57

Using Pythagoras' identity on the lower right triangle, then

x² + c² = d²

x² + 2² = 57

x² + 4 = 57 ( subtract 4 from both sides )

x² = 53 ( take the square root of both sides )

x = [tex]\sqrt{53}[/tex]


Related Questions

Suppose that tuition at a state college was $3500 per year in 1995 and has been increasing at a rate of $225 per year. Write a prediction equation in slope-intercept form that expresses this information. (Do not space between the numbers and the symbols

Answers

Answer:

3500+225x

Step-by-step explanation:

x = years after 1995. 1996 would be x = 1

3. What is the goal of education—especially when it comes to history and human rights? Cite evidence from this text, your own experience, and other literature, art, or history in your answer.

Answers

Answer:

The goal for human rights is to education aims to do the following: Enhance the knowledge and understanding of human rights. Foster attitudes of tolerance, respect, solidarity, and responsibility. Develop awareness of how human rights can be translated into social and political reality.

(Evidence)   -------›

"The following year, he immigrated to the United States and settled in Kansas City, Mo., where he married, had four children and became a successful importer of ladies' handbags. It would be 16 years before he began speaking publicly about the Holocaust, something he says he decided to do after talking to one of his neighbors."


At Feet-R-Us colored socks are $5 and white socks are $3. Jimmy buys $32 worth of socks. An equation representing this scenario is 5c + 3w = 32. Solve this equation for c, the cost of 1 pair of colored socks

Answers

c=4 w=4

5c=20

3w=12

5c+3w=32

Which statement best describes the intersection of three planes? The planes could form one or two lines. The planes could form one, two, or three lines. The planes will form two lines. The planes could form one, two, or three lines, or they could intersect at exactly one point.

Answers

Answer:

fhe planes coukd form ons or two limez

Which quantity is proportional to 21/28?
Check all that are true.
15/20
314
213
7/14
18/24
Please help me asap

Answers

18/24 is the correct answer

List all the factors of 28 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer here
SUBMIT

Answers

Answer:

1,2,4,7,14,28

Step-by-step explanation:

because I'm smart

PLEASE HELPPPPPP!!!!!!! [easy]

Answers

Answer:        d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Find the value of x so that the function has the given value.

k(x)=6x−1/2; k(x)=18

Answers

Answer:

x = [tex]\frac{37}{12}[/tex]

Step-by-step explanation:

Given k(x) = 6x - [tex]\frac{1}{2}[/tex] and k(x) = 18, the equate the right sides, that is

6x - [tex]\frac{1}{2}[/tex] = 18 ( multiply through by 2 to clear the fraction )

12x - 1 = 36 ( add 1 to both sides )

12x = 37 ( divide both sides by 12 )

x = [tex]\frac{37}{12}[/tex]

The average cost of a home in a certain neighborhood ranges from $225,000 to $385,000. Write an absolute value inequality to model the average cost, C. of a home in this neighborhood.

Answers

Answer:

  D.  |C -305,000| ≤ 80,000

Step-by-step explanation:

Such an equation will say that the difference from the average of these values is at most half of their difference.

  | C -(225000+385000)/2 | ≤ (385000 -225000)/2

  |C -305,000| ≤ 80,000 . . . . . matches choice D

PLEASE MY CLASS ENDS IN 7 MINUTES!!! I DONT WANT TO FAIL!!

Answers

the answer is A i think

Answer:

I think B

Step-by-step explanation:

13.77 times the number of people gives you your answer, so probably C=13.77p

The length of a rectangular window is 4 more feet than its width w. The perimeter of the window is 64 feet. Write an equation that could be used to find the demensions of the window and determine the length and width of the window.

Answers

Answer:

The length of the window is 18 ft and its height is 14 ft

Step-by-step explanation:

System of Equations

Let's call:

L: Length of the window in feet

W: Width of the window in feet

According to the first condition of the problem:

[tex]L = W + 4\qquad\qquad [1][/tex]

The perimeter of the rectangle is 64 feet. The perimeter is calculated as:

P = 2L + 2W =64

Dividing by 2:

[tex]L + W = 32\qquad\qquad [2][/tex]

The system of equations [1] and [2] can be used to find the dimension of the window.

Substituting from [1]

W + 4 + W = 32

Simplifying:

2W = 32 - 4 =28

Solving:

W = 28/2 = 14

Using [1]:

L = 14 + 4 = 18

The length of the window is 18 ft and its height is 14 ft

PLEASE HELP ME I DON'T UNDERSTAND SOMEONE PLEASE!!! Danielle can spend no more than $75 on clothes. She wants a pair of shoes for $40 and spends the rest on $12 scarves. Indetify the rate of change.

Answers

Answer:

She will have $23 left.

Step-by-step explanation:

4b-3b+7=10 Solve for b.

Answers

simplify left side to get b
b+7=10
-7 -7
—————
b=3

Answer:

b = 3

Step-by-step explanation:

Simplify 4b - 3b + 7 = 10

b + 7 = 10

Subtract 7 from both sides

b = 10 -7

Simplify 10 -7 to 3

b = 3

Hope this helps!

-Jerc

Which equation has a constant of proportionality equal to 3

Answers

Answer:

y=3x

Step-by-step explanation:

An ion has a charge of +7. How far is it from being neutral?

a. -0.07
b. -7
c. 7
d. 70
e. 0.7​

Answers

Answer:

The answer is B. -7

Step-by-step explanation:

the -7 cancels out the +7 which makes it neutral

13 - 7(-2 - 8)
Please solve! :) Will be marking brainliest!!

Answers

Answer: 83

Step-by-step explanation: -7x-2=14 -7x-8=56, 56 + 14 + 13 = 83.

Hope this helps! :)

Please Mark Brainliest!!!

The answer would be 83. To get 83, you first do -2-8, following the P.E.M.D.A.S. rule. You would get -10, and then you times -7 with -10, getting 70 (negative times negative is positive). Lastly, add 13 and 70 together, and you get 83.

whats the best lil peep song lol

Answers

Answer:

Nutz in my opinion

Step-by-step explanation:

Answer:

girls

Step-by-step explanation:

1. twice the square of the sum of a number and 3 is 98.find the number​

Answers

Answer:

Step-by-step explanation:

Let the number be x.

twice the square of the sum of a number and 3 is expressed as;

2(x+3)²

If the expression is equal to 98, then;

2(x+3)² = 98

divide both sides by 2;

2(x+3)²/2 = 98/2

(x+3)² = 49

square root both sides

√(x+3)² = √49

x+3 = ±7

x = ±7-3

x = 7-3 or -7-3

x = 4 or -10

Hence the number is 4 or -10

The number is -4 or 10

Let n represent the unknown number

The following equation can be used to summarise the information given in the question

2 × n² = 98

The first step to take in order to determine the value of n is to divide both sides of the equation by 2

n² = 98/2

n² = 49

The second step is to determine the square root of both sides of the equation

n =√49

n =-7 or +7

The number = - 7 + 3 = - 4 or 7 + 3 = 10

A similar question was solved here: https://brainly.com/question/18118670?referrer=searchResults

Micah found the vertex for the function y= -9.5x? 47.5x+ 63 as shown. Find and correct Micah's error. Explain the error?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.

However, I'll solve for the vertex of the given function.

Given

[tex]y = -9.5x^2 + 47.5x + 63[/tex]

Vertex, V is of the form:

[tex]V= (h,k)[/tex]

Where

[tex]h = -\frac{b}{2a}[/tex]

and

[tex]k = f(h)[/tex]

Solving for h:

[tex]y = -9.5x^2 + 47.5x + 63[/tex]

[tex]y = ax^2 + bx + c[/tex]

So:

[tex]a = -9.5[/tex]

[tex]b = 47.5[/tex]

[tex]c = 63[/tex]

[tex]h = -\frac{b}{2a}[/tex]

[tex]h = -\frac{47.5}{2 * -9.5}[/tex]

[tex]h = -\frac{47.5}{-19}[/tex]

[tex]h = \frac{47.5}{19}[/tex]

[tex]h = 2.5[/tex]

Solving for k

[tex]k = f(h)[/tex]

[tex]k = f(2.5)[/tex]

Substitute 2.5 for x in [tex]y = -9.5x^2 + 47.5x + 63[/tex]

[tex]k = -9.5 * 2.5^2 + 47.5* 2.5 + 63[/tex]

[tex]k = -59.375+ 118.75 + 63[/tex]

[tex]k = 122.375[/tex]

Hence:

The vertex is

[tex]V = (2.5,122.375)[/tex]

Answer:

if ur doing savvas

Step-by-step explanation:

answer for the first one is:
Micah used the wrong sign for b in the formula x=-b/2a

answer for the second one is:
vertex is = (-2.5, 122.375)

what is 100+100+56+88+90=
then divide all of the numbers

Answers

Answer:

86.8

Step-by-step explanation:

100+100+56+88+90

divide the answer by 5

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: (

100+100=200

200+56=256

256+88=342

342+90=432

432/5= 86.4

if f(x) =- 3x - 9, find f(5)​

Answers

The value of f(5) will be "-24".

Polynomial functions

A function would be an equation that typically contains only non-negative integers (-) powers or even just positive integer (+) multipliers of variables, such as the quadratic function, cubed equation, and so forth, is considered as Polynomial functions.

According to the question,

The given function is:

f(x) = -3x - 9

By substituting "5" in place of "x", we get

→ f(5) = -3(5) - 9

By solving the bracket, we get

         = -15 - 9

         = -24

Thus the above response is correct.

Find out more information about function here:

https://brainly.com/question/24380382

Answer:

F(5)=6

Step-by-step explanation:

Just did the question on my test

ASAP PLEASE ILL GIVE BRAINIEST

Answers

Answer:

third choice

Step-by-step explanation:

Congruent means being exactly the same. When two line segments have the same length, they are congruent. When two figures have the same shape and size, they are congruent. ... Similar means that the figures have the same shape, but not the same size.

E and G are similar but not congruent i think

BRIANLY PLS HELP ME OUT ASP !

Answers

Answer:

42

Step-by-step explanation:

3 is equal to 42 degrees because when you have two parallel lines that have another line pass through both parallel lines the values of degrees are the same as the opposite side so:

42 = 3

2 = 4

and another way you could find the value of 3 is since there is a perpendicular line going through line p we know that since it is perpendicular that the angle between them is 90 so angle 3 is:

90 - (angle 4) = angle 3

You may use this method if you first solved for angle 4 or angle 2 and we can get angle 2 from:

180 - 42 = 138

we can do this because 42 + angle two should be 180 degrees since they are along line n.

A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
14 3/5 bushels each day. Represent the total change in the number of bushels has for sale after 6 days.

Answers

Answer:

He sold 87-3/5 bushels in 6 days , he has 72-2/5 bushels left

Step-by-step explanation:

14-3/5 x 6 = Bushels sold in 6 days

What would you need to do to get a denominator of one in the following example?

Answers

Answer:

yoou have to find common numbers

Step-by-step explanation:

What are the first four terms of the sequence shown below?

an = n3 + n2

Answers

Answer:

2, 12, 36, 80

Step-by-step explanation:

Substitute n = 1, 2, 3, 4 into the n th term formula, that is

a₁ = 1³ + 1² = 1 + 1 = 2

a₂ = 2³ + 2² = 8 + 4 = 12

a₃ = 3³ + 3² = 27 + 9 = 36

a₄ = 4³ + 4² = 64 + 16 = 80

( I REALLY NEED HELP I WILL GIVE BRILLIANT) If you divide 78 by 34, will the quotient be greater than or less than 34?

Answers

The quotient will be less that 34 because 78 divided by 34 is 2

please help i really need this ill give brainliest if its correct

Answers

Answer: I'm pretty sure it's D.

. Зх – 3y= 9 for D = {0 SXS 8}
у
о
3
8
PlZzz helppppppppp

Answers

Step-by-step explanation:

just do 3*- 3y and then the answer you get you do 3*8

Raina corre 7 millas en 50 minutos. A esta misma tasa, ¿qué distancia en millas correría en 75 minutos?

Answers

Responder:

10.5 millas

Explicación paso a paso:

50 / 7 = 0.14

0.14 * 75 = 10.5

Espero que esto ayude :)

Given parameters:

Distance covered by Raina = 7 miles

Time taken = 50 minutes

Unknown:

Distance covered in 75 minutes = ?

To solve this problem, we have to find the speed of Raina during the first 50 minutes.

   Speed is the distance covered with time.

      Speed  = [tex]\frac{distance}{time taken}[/tex]  

   Input the parameters and solve;

     Speed  = [tex]\frac{7 miles }{50 minutes}[/tex]   = 0.14miles/min

Now, to find the distance covered in the second run;

     Distance  = speed x time taken

                      = 0.14miles/min x 75min

                      = 10.5miles

The distance covered in miles is 10.5miles

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