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

Please help!! I’m confused :(
I’ll give brainliest!

An axiom is a basic assumption about a mathematical situation. There are five axioms that form the basis for Euclidean geometry. List the five axioms.

Answers

The five axioms are:

Things which are equal to the same thing are also equal to one another.

If equals be added to equals, the wholes are equal.

If equals be subtracted from equals, the remainders are equal.

Things which coincide with one another are equal to one another.

The whole is greater than the part.

Answer:

AXIOMS AND POSTULATES OF EUCLID

Step-by-step explanation:

AXIOMS

Things which are equal to the same thing are also equal to one another.

If equals be added to equals, the wholes are equal.

If equals be subtracted from equals, the remainders are equal.

Things which coincide with one another are equal to one another.

The whole is greater than the part.

POSTULATES

To draw a straight line from any point to any point.

To produce a finite straight line continuously in a straight line.

To describe a circle with any center and distance.

That all right angles are equal to one another.

That if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the straight lines, if produced indefinitely, will meet on that side on which the angles are less that two right angles.*

Yall are so wrong do your math again people

Answers

What do you mean?!? I don’t understand

Answer:

What math? you havent posted anything on here

An isosceles trapezoid has a perimeter of 41 in. Its short base measures 1 inch and its longer base measures 2 inches. the two remaining sodes have the same length what is that length ?

Answers

Answer:

it is 6 inches

Step-by-step explanation:

what is the unit rate of 1/4 kilometer in 1/3 hour

Answers

Answer:

3/4 km in 1 hour

Step-by-step explanation:

You divide to find unit rate.

1/4 divided by 1/3 is

1/4 x 3/1 = 3/4

3/4 kilometers in 1 hour

Hope this helps :)

The required rate of 1/4 kilometer in 1/3 hour is 3 / 4 Kilometer per hour.

Given that,
To determine the unit rate of 1/4 kilometer in 1/3 hour.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is the rate of change?

The rate of change is defined as the change in value with the rest of the time is called rate of change.

Here,
The unit rate of 1/4 kilometer in 1/3 hour,
Rate = (1 / 4 kilometer) / (1 / 3 hour)
Rate = 1 /  4 / 1 / 3
Rate = 3 / 4 Kilometer per hour.

Thus, the required rate of 1/4 kilometer in 1/3 hour is 3 / 4 Kilometer per hour.

Learn more about arithmetic here:

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Solve for y:
-9.6 - y + 4.4y = -1.5

Answers

Answer:

y = 81/34

Step-by-step explanation:

-96+34y=-15

-96+34y+96=-15+96

34y=81

34y/34 = 81/34

y= 81/34

Solve For b show your work 3b+2(b-3)=4
Plz show work

Answers

Answer: 2
Step by Step explanation:

(04.01 LC) Which set of ordered pairs represents a function? (1 point) {(0, 1), (1, 2), (2, 3), (3, 3)} {(0, 1), (1, 2), (1, 3), (2, 5)} {(0, 0), (1, 2), (2, 4), (2, 6)} {(0, 0), (0, 1), (2, 0), (2, 4)}

Answers

The first set:

" {(0, 1), (1, 2), (2, 3), (3, 3)}"

Represents a function.

Which set of ordered pairs represents a function?

A function is a relationship that maps elements from a set (inputs) into elements from another set (output). Such that each input can be mapped into only one output.

Then, for example, the second set:

{(0, 1), (1, 2), (1, 3), (2, 5)}

Is not a function, because the input x = 1 is being mapped into y = 2 and y = 3.

The only case where the inputs are not repeated is on the first set:

" {(0, 1), (1, 2), (2, 3), (3, 3)}"

Where no input is repeated, so this is a function.

If you want to learn more about functions:

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Answer:

{(0, 1), (1, 2), (2, 3), (3, 3)}

Mrs. Ryan did 121 sit-ups in 8 minutes. Estimate the number of sit-ups she did in 1 minute.

Answers

Answer:

he did 15 sit ups in 1 minute.

Step-by-step explanation:

you divide 121 and 8

Answer:

15 sit-ups per minute

Step-by-step explanation:

121÷8=15.125

15

The graph represents the balance on Harrison’s car loan in the months since purchasing the car.

Answers

Answer: It’s A

Step-by-step explanation:

Answer:

A,the loan balance decreases $500 per month.

Step-by-step explanation:

Help me fast pls this is on FLVS help me pls

Answers

Here is a tip, highlight the whole question, copy it, paste it into google, and it will be there on brainly

Answer:

Equation 1

Step-by-step explanation:

It is the only equation to not have a square root. If a square root is present in the equation, it is NOT a linear function.

Hope this helps!

Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 minutes and 30 minutes they were at elevations of 10,300 and 10,900 feet, respectively. Write an equation expressing their elevation in relation to time.

Answers

Answer:

[tex]h=40t+9700[/tex]

where the elevation, h, is in feet and time, t, is in minutes.

Step-by-step explanation:

At the time, [tex]t_1=15[/tex] min, the elevation, [tex]h_1= 10,300[/tex] feet and

at the time [tex]t_2= 30[/tex] min, the elevation, [tex]h_2=10,900[/tex] feet.

As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.

So, there will be a linear relationship between the elevation and the time.

Let [tex]h[/tex] be the elevation at any time instant [tex]t[/tex], so the linear relation among these quantities is

[tex]h=mt+C_0\;\cdots(i)[/tex]

where [tex]m[/tex] is the rate of change of elevation with respect to time and [tex]C_0[/tex] is constant.

The change in the elevation, [tex]\Delta h=h_2-h_1= 10,900-10,300=600[/tex] feet.

and the change in time, [tex]\Delta t=t_2-1_1=30-15=15[/tex] min.

So, change in the elevation in unit time,

[tex]m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40[/tex] feet/min.

Now, from equation (i)

[tex]h=40t+C_0[/tex]

As the elevation, [tex]h=h_1[/tex] at time [tex]t=t_1[/tex], so

[tex]10,300=40\times15+C_0[/tex]

[tex]\Rightarrow C_0=9700[/tex]

Hence, the required equation is

[tex]h=40t+9700[/tex]

where the elevation, [tex]h[/tex], is in feet and time, [tex]t[/tex], is in minutes.

The “Flip the Switch” challenge has a 10-second-long music clip. You film a 17-second-long video. What percent of your video does the music clip represent? *

Answers

approximately 59% of the video

10/17 as a decimal is 58.82, so rounded up, it would be 59^

Show that the points P(3,4) z Q(7,8) , R(11,4) are the vertices of an isosceles triangle.​

Answers

Answer:

i mean its all about drawing the graph.

Step-by-step explanation:

I hope this helps!

What is the answer to 5 (y-10) = -5

Answers

Answer:

5(y-10)=-5

5y-50=-5

5y=45

y=9

Step-by-step explanation:

distribute

add 50 to the other side and undo it from its original side

get the variable by itself by dividing 5 on both sides

then you have your answer

I hope this helps!

Answer:

9

Step-by-step explanation:

5(y-10)=5

divide both sides by 5

50-5=45

45 divided by 5 is 9

22x^3 y^4+28x^2 y^5+34xy^4

Answers

Answer:

 2xy4 • (11x2 + 14xy + 17)

Step-by-step explanation:

(((22•(x3))•(y4))+((28•(x2))•(y5)))+(2•17xy4)

(((22•(x3))•(y4))+((22•7x2)•y5))+(2•17xy4)

 (((2•11x3) • y4) +  (22•7x2y5)) +  (2•17xy4)

5.1     Pull out like factors :

  22x3y4 + 28x2y5 + 34xy4  =   2xy4 • (11x2 + 14xy + 17)  

Trying to factor a multi variable polynomial :

5.2    Factoring    11x2 + 14xy + 17

Final result :

 2xy4 • (11x2 + 14xy + 17)

In order to compete successfully, a producer must produce goods that are

more expensive than those of competitors.
of a lesser quality than those of competitors.
of a higher quality than those of competitors.
created without worrying about the costs of production.

Answers

Answer:

of a higher quality than those of competitors.

Step-by-step explanation:

To compete successfully, a producer should ensure that they must produce goods that are of a higher quality than those of their competitors.

The quality of a product is usually a deterministic characteristic of how the public will receive such material.

A quality good produced gives consumers better value for money spent in procuring them. This will ensure a high reliability on the part of the consumers towards the producers. Even at higher prices, most consumers will crave for a good and quality product since they are rest assured of getting maximum value from it.

Therefore, a higher quality of goods produced will make a producer compete more successfully.

Answer:

C) Of a higher quality than those of competitors.

Please help will give brainliest

Answers

Answer:

I think is the last one

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Find the missing number so that the equation has no solutions.
X - 18
= 2x – 13

Answers

Answer:

X=-5

Step-by-step explanation:

Answer:

Step-by-step explanation: x-5 i think

2. Findf(g(x))andg( f(x)).

f(x) = 102; 9(1) = 1 + 3

Answers

Answer:

9=4

Step-by-step explanation:

9(1)= 1+3

9(1)=9

1+3=4

9:4

A line goes through the points (7, 3) and (-1, 5). Write the equation of the line in Point-Slope form. Show your work. Circle your answer.
20 pts and brainliest. please help me on this

Answers

Answer:

The equation of the line is 4y = -x + 19

Step-by-step explanation:

Firstly, we need to get the slope of the line;

Since it is through two points; we have the slope as;

y2-y1/x2-x1 = (5-3)/(-1-7) = 2/-8 = -1/4

Mathematically, we can write the equation of a straight line line as;

y = mx + c

So we have;

y = -1/4x + c

y = -x/4 + c

To complete the equation, we need the value of c.

we can choose any of the points and insert the x and y value

Thus;

3 = -7/4 + c

c = 3 + 7/4

c = 19/4

So our equation becomes;

y = -x/4 + 19/4

Multiply through by 4

4y = -x + 19

Answer:

y-3= -1/4 x (x-7)

Step-by-step explanation:

Find the slope of the line between  

( 7 , 3 )  (7,3)  and  ( − 1 , 5 )  (-1,5)  using  m = y 2 − y 1 x 2 − x 1

m=y2-y1x2-x1 , which is the change of  y/ y  over the change of  x/ x .

Hope this helps! Have a nice day!❤

A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees. What is the measure of angle x? (1 point)

Answers

Answer:

Step-by-step explanation:

Use the diagram in the attachment for reference. You can substitute the values given in question in place of the one in the diagram.

From the diagram, it can be seen that the sum of angle x and 20 is equal to angle 75 degrees i.e x+30 = 75 (alternate angles)

Next is to find the value of x from the equation

x+30 = 75

Subtract 30 from both sides of the equation;  

x+30-30 = 75-30

x = 75-30

x = 45

Hence the measure of angle x is 45°

Answer:

The answer is 45

Step-by-step explanation:

I got this on a test once and got it right

what is the difference between linear and nonlinear functions?

Answers

Answer: Linear Function is a relation between two variables that produces a straight line when graphed. Non-Linear function is a function that does not form a line when graphed.

Step-by-step explanation:

ANSWER: Degrees

explanation:

The difference between the linear and nonlinear functions are their degrees. For linear functions, the highest order is only 1 while more than for those nonlinear functions. If these are presented in graphs, linear functions would generate straight lines while parabola or other curved lines will be generated for nonlinear functions.  

HOPE THAT HELPED PLEASE MRAK ME AS brilliant  i would love it :)

Which term describes this figure?

Answers

Answer: Celsius

Step-by-step explanation: Scale based on 0° for the freezing point of water and 100° for the boiling point of water.

Aaliyah read the first 16 of a book on Monday, the next 215 on Tuesday, the next 13 on Wednesday, the next 115 on Thursday, and then the last 72 pages on Friday.

Answers

16+215+13+115+72=431pages

Determine the value of y, if x is 5.
y = |x| + 10
Answer:

Answers

15

The bars around the x means absolute value, which only shows that the number is positive no matter what, even if the number inside is originally negative.

Answer:

[tex]y=15[/tex]

Step-by-step explanation:

Insert the given value of x into the equation:

[tex]x=5\\\\y=|x|+10\\\\y=|5|+10[/tex]

The absolute value of a number is its distance from zero on the number line. Therefore, the absolute value of a number will always be positive. The distance of 5 from zero on the number line is:

[tex]y=5+10\\\\y=15[/tex]

:Done

x divided by six eqauls twentyfive

x/6=25

Answers

Answer:

x = 150

Step-by-step explanation:

x / 6 = 25

x = 25 (6)

x = 150

Answer: x=150

Step-by-step explanation:

solve.
5-(x-6)=-7+3(-x+2)

Answers

Answer:

x=-6

Step-by-step explanation:

For this equation, when we remove the parenthesis, we get 5-x+6=-7+-3x+6.

Then we simplify both sides of the equation, so we get 11-x=-1-3x. When we separate the numbers and variables, we get -12=-2x. -12/2 = -6.

5-x+6=-7-3x+6
combine like terma
11-x=-1-3x
add 3x to both sides
11+2x=-1
subtract 11 from both sides
2x=-12
x=-6

79x10 to the power of 7 +6.5x10 to the power of 6

Express your answer in scientific notation

Answers

Answer: 10⁶⁵⁰⁰⁰⁰⁷  ×  79

The age (in years) of 10 students practicipating in an english drama are 10, 6,8,19,12,8,10,18,19,15 find the median age of the particapating ​

Answers

Answer:

11

Step-by-step explanation:

First, list the numbers from least to greatest.

6, 8, 8, 10, 10, 12, 15, 18, 19, 19

find the middle term. There are ten terms, therefore there are 2 middle terms. You will add them togetehr and divide by two.

10+12=22/2=11

I need help graphing -4x + 12y = -24 I'm lazy so I don't want to do it by myself​

Answers

Answer:

Check out the graph

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