Find the exact value of each variable that represents its side length in a right triangle. Please help me with this ASAP!

Find The Exact Value Of Each Variable That Represents Its Side Length In A Right Triangle. Please Help

Answers

Answer 1

Answer:

[tex]h=6[/tex]

[tex]k=2.5[/tex]

[tex]m=\sqrt{21}[/tex]

[tex]n=3\sqrt{10}[/tex]

[tex]p=\sqrt{17}[/tex]

Step-by-step explanation:

We can use the Pythagorean Theorem in each case.

Pythagorean Theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

Where [tex]a[/tex] and [tex]b[/tex] are two sides of a right-angle triangle and [tex]c[/tex] is Hypotenuse (the longest side opposite to the right angle)

For [tex]h[/tex]:

[tex]h^{2} +8^{2} =10^{2}[/tex]

[tex]h^{2} +64=100[/tex]

Subtract 64 from both sides:

[tex]h^{2} =100-64[/tex]

[tex]h^{2} =36\\[/tex]

[tex]h=\sqrt{36}[/tex]

[tex]h=6[/tex]

We follow the same process to find  [tex]k,m,n[/tex] and [tex]p[/tex].


Related Questions

Matthew is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 2 points. What would be Matthew's test score (out of 40) if he got 9 questions wrong? What would be his score if he got xx questions wrong?

Answers

Answer:

22 points

Step-by-step explanation:

If their are fourty points avaliable and each question is worth two points, then there are a total of twenty questions (20 times 2 is 40). Therefore, if he gets nine questions wrong, he would have gotten 11 right. Because we know that each question is two points, we may just multiply 11 by 2, which means he has gotten a score of 22 points!

Sam bought a toy for $400 and sold it at a profit of 10% of the cost price. Calculate the SELLING PRICE of the toy.

Answers

Answer:

10% = 0.1 x 400 = 40

400 - 40 = 360$

leni can decorate the room in 4 hours. her sister lucy do the same jobin 3 hours working together, how long will take them to finish the job

Answers

Fractions are integers that have both a numerator and a denominator. They are represented as; [tex]\frac{x}{y}[/tex]

Where:

x = Numerator

y = Denominator.

It will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.

To solve the above question, we would be applying the operations of the addition of fractions.

From the question,

Leni can decorate the room in 4 hours. This means in 1 hour, Leni can paint 1/4 of the room.

Lucy, her sister can decorate the room in 3 hours. This means in 1 hour, lucy can decorate 1/3 of the room.

Let us represent the number of hours it will take them both to decorate the room working together as "T"

Hence,

1/T = 1/4 + 1/3

Lowest Common Denominator for (3, 4 ) = 12

Hence,

1/T = 3 + 4 / 12

1/T = 7/12

Find the reciprocal of both sides

T = 7/12 hours or can be expressed in decimals as 0.583 hours.

Therefore, it will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.

To learn more, visit the link below;

https://brainly.com/question/13652749

Can someone pls help me out

Answers

Answer:

option a. similar;AA similarity; triangle plm

x/3+10=15 pls help me

Answers

the Answer is...:

X=195

Answer: X is 15

Step-by-step explanation:

Multiply both sides with 3

(x/3) + (10 x 3) = 15 x 3

x + 30 = 45

Add - 30 to both sides

x + 30 - 30 = 45 - 30

x = 15

Hope this helps!

please check the picture!!

find the indefinite integral of:

Answers

Answer:

x = 23

Step-by-step explanation:

what is the ratio of 0.75 decimal​

Answers

The ratio is 3:4, think of it like a fraction .75 as a fraction is 3/4

find the value of x PLEASE HELP i’m so lost

Answers

x = -5 + 5√3

Step-by-step explanation:

A = ℓ × w

50 = (x + 10) × x

50 = x² + 10x

x² + 10x - 50 = 0

a = 1b = 10c = -50

x = [-b ± √(b² - 4ac)] / 2a

x = [-10 ± √(10² - 4(1)(-50))] / 2(1)

x = [-10 ± √(100 - (-200))]/2

x = [-10 ± √300]/2

x = [-10 ± 10√3]/2

x = [-5 ± 5√3]

because x is a unit of length, it is positive

x = -5 + 5√3

Pls answer ASAP timed assignment

Answers

Answer:

C) Point B is a reflection of point A along the Y-Axis

Step-by-step explanation:

I plotted it on a graph, and it turned out to be an exact mirror reflection.

Hope This Helped!

answer po plss plss plss

Answers

Answer:

[tex]( 3) - ( 4) + ( 18) + (6) - (5)[/tex]

[tex] (3+18+6)+(-4-5)[/tex]

[tex]( 27) + (-9)[/tex]

[tex] 18[/tex]

(3x + 2) to the power of 2(i didnt know how to put that on keybored)

Answers

[tex](3x)^{2} +2*3x*2+2^{2} \\3^{2} x^{2} +2*3x*2*2^{2} \\9x^{2} +2*3x*2+2^{2} \\9x^{2} +2*3x*2+4\\9x^{2} x^{2} +12x+4[/tex]

Enter an equation in point-slope form for the line.
Slope is -4 and (1,9) is on the line.
The equation of the line in point slope form is:

Answers

Answer:  (y-9) = -4(x-1)

Step-by-step explanation: The format of a point-slope line is y − y1 = m(x − x1), where x1 and y1 are a known point on a line with slope m.  Given slope of -4 and a point of (1,9):

(y − y1) = m(x − x1)

(y − 9) = -4(x − 1)

This can be rearranged to the standard form:  y = -4x+13

What is 1/10=4/5y ?????

Answers

Answer:

y = 1/8

Step-by-step explanation:

Divide both sides by 4/5, 1/10 divided by 4/5; 4/5y divided by 4/5. In 4/5y divided by 4/5, the two 4/5s cancels out, leaving y alone. 1/10 divided by 4/5 equals to 1/8. Now you have, 1/8 = y, which is the same thing as y = 1/8. Therefore, the value of y is 1/8.

Answer: 1/8

Step-by-step explanation:

4/5y=1/10

*multiply both sides by 5, and you'll get

4y=1/2

*divide both sides by 4

y=1/8

What is 97 divided by 80257

Answers

0.00120862! Hope this helps.

what is the degree of polynomial ? f(x)=(x+6) (x_3) power of 2​

Answers

Answer:

the degree = 4

Step-by-step explanation:

[(x+6)(x-3)]²

= x⁴+6x³-27x²-108x+324

Find the unit rate. Round to the nearest hundredth, if necessary,
$2.99 for 15 lb
The unit rate is $
Иb.

Answers

Answer:

$0.20/lb

Step-by-step explanation:

2.99/15 = 199333

.20/lb

this question is bothering me help

Answers

Answer:

the First, third, and fifth

Step-by-step explanation:

Since one half of 12 is 6, then those three expressions will be the same since they have the same answer

i need answer for this problem​

Answers

Answer:

(Reflect across the line y = x then reflect across the y axis then translate 2 units in left and 5 units

down) that's the answer

Step-by-step explanation:

Hope it helps

state the gradient and the y-axis intercept of
y=3x+7

Answers

Step-by-step explanation:

the slope (or gradient) of a line is the factor of x.

in our case here : 3

it is expressed as ratio y/x and represents the amount of units y changes (and via the sign in what direction), when x changes a certain amount of units (again, via the sign in what direction). like when going from a point 1 to a point 2.

so, here we have 3 = 3/1, and that means, when x changes by 1 unit to the right (positive), y changes 3 units up (positive).

the y-axis intercept is simply the point, where x = 0. clearly, any point with the x coordinate being unequal to 0 cannot be on the y axis.

so, here

y = 3×0 + 7 = 7

=>

the y-axis intercept point is (0, 7).

Can someone help me do this

Answers

ML is 6 cm because it states both triangles are congruent

y=2x =2 and y2= 4x+4

Answers

Answer:

x=−2

y=−4

y²  =−2

Step-by-step explanation:

Im going to assume youre saying to compare the two

if so, then theyre the same equation/line

2y =4x +4 is the same y = 2x + 2 since 2y = 4x + 4 is just y=2x+2 but everything is multiplied by 2

hope this helps :)

convert 11/15 to a repeating decimal

Answers

Answer: 11/15 as a decimal is 0.73333333333333.

Step-by-step explanation:

Hello me please!!! I don't understand this question and it's due tonight!!!!

Зу + 4х = 12

Graph the equation using the x coordinates -2, -1, 0, 1, 2

Answers

Answer:

3y+4x=12

when x is -2

3y+ 4(-2)=12

3y-8=12

3y=20

y=20/3=6.67

when x is -1

3y-4=12

3y=16

y=16/3=5.33

when x is 0

3y-0=12

3y=12

y=4

when x is 1

3y+ 4 =12

3y =8

y=8/3=2.67

when x is 2

3y +8 =12

3y=4

y=4/3=1.33

En un aeropuerto dos aviones A1 y A1 se acercan para aterrizar, si la ecuación de la trayectoria del primero es -x+2y-100=0, mientras que la ecuación de la trayectoria del segundo es de –x+200 +2y, determina si existe el riesgo de que sufran un choque entre ellos.

Answers

No hay solución en la que ambas trayectorias estén en la misma posición, puesto que no existe el riesgo de que sufran un choque entre ellos.

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

La trayectoria del primero es:

[tex]-x + 2y - 100 = 0[/tex]

[tex]x_1 = 2y - 100[/tex]

Para el segundo, tiene-se que:

[tex]-x + 200 + 2y = 0[/tex]

[tex]x_2 = 2y + 200[/tex]

Igualando los valores de x:

[tex]x_1 = x_2[/tex]

[tex]2y - 100 = 2y + 200[/tex]

[tex]0y = 300[/tex]

No hay solución en la que ambas trayectorias estén en la misma posición, puesto que no existe el riesgo de que sufran un choque entre ellos.

Un problema similar es dado en https://brainly.com/question/24653364

Which benchmark fraction is 6/7 closest to PLZ HELP

Answers

Closer to 1 because it’s nearly a 7/7 which is also known as 1.

x is directly proportional to y. When y = 7, x = 28. Write and equation of x in terms of y. Find x when y = 15.

Answers

Answer:

60

Step-by-step explanation:

28 : 7 : : x : 15

28 / 7 = x / 15

4 = x / 15

x = 4 * 15

x = 60

x = ky— directly proportional

28 = 7k

4 = k

so x = 4y

plug in y and you get x = 4(15) = 60

Therefore, x = 60 when y = 15

HELP PLEASEEEE ASAP !

Answers

Answer:

x = 57

Step-by-step explanation:

x and 57 are alternate interior angles and alternate interior angles are equal when the lines are parallel

x = 57

Can you help me please. ​

Answers

Answer:

can you take a better photo?

Step-by-step explanation:

Full view of the picture please

11=-5x-2 plzzzzzzzzzz help...

Answers

Answer:

-5x-2=11

+2

-5x=9

÷-5

x=1.8

Step-by-step explanation:

Answer:

x = -2.6

or x=-2 and 3/5

Step-by-step explanation:

Simplifying

11 = -5x + -2

Reorder the terms:

11 = -2 + -5x

Solving

11 = -2 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.

11 + 5x = -2 + -5x + 5x

Combine like terms: -5x + 5x = 0

11 + 5x = -2 + 0

11 + 5x = -2

Add '-11' to each side of the equation.

11 + -11 + 5x = -2 + -11

Combine like terms: 11 + -11 = 0

0 + 5x = -2 + -11

5x = -2 + -11

Combine like terms: -2 + -11 = -13

5x = -13

Divide each side by '5'.

x = -2.6

Simplifying

x = -2.6

Divide
-3 1/3 divide 9

Quick

Answers

Answer:

-0.37 repeating

Step-by-step explanation:

PLS mark Brainliest

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