A square has side lengths of 9 use the Pythagorean theorem to find the length of the diagonal

Answers

Answer 1

Answer:

12.73

Step-by-step explanation:

The diagonal of the square forms the shape of a right angle with two adjacent sides of the square.

The diagonal is the hypotenuse.

Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides of the triangle:

[tex]d^2 = a^2 + b^2[/tex]

where d = hypotenuse = diagonal.

Since the other two sides are equal, then:

[tex]d^2 = a^2 + a^2\\\\d^2 = 2a^2[/tex]

The length of the side of the square is 9:

[tex]d^2 = 2 * 9^2 \\\\d^2 = 2 * 81\\\\d^2 = 162\\\\d = \sqrt{162}\\ \\d = 12.73[/tex]

The length of the diagonal is 12.73

A Square Has Side Lengths Of 9 Use The Pythagorean Theorem To Find The Length Of The Diagonal
Answer 2

Answer:

12.73

Step-by-step explanation:


Related Questions

7/10 divided by 2
Please help if available ✌

Answers

Answer:

0.35

Step-by-step explanation:

if you divide them together you get 0.35

123
12
a
d
3
and which term are like terms?

Answers

Answer:

3ad3 will be the answer

Step-by-step explanation:

Answer:

3ad3

Step-by-step explanation:

Si una persona de lunes a viernes entrena diariamente 1 hora ¿cuanto tiempo debe entrenar el sábado para que el promedio diario de las horas de entrenamiento de los 6 días sea 1,5 horas?

Answers

Answer: 4 horas

Step-by-step explanation:

Una semana (de lunes a viernes) contiene 5 días

Si se entrena 1 hora por día:

1 x 5 = 5 horas (total de horas de entrenamiento de lunes a viernes)

Ese total más el número de horas que se entrena el sábado (x) dividido por 6 (numero de días en la semana incluyendo sábado) debe ser igual a el promedio de horas entrenadas en los 6 días (1.5)

(5+x) /6 =1.5

Despajando x:

5+x =1.5 x 6

5+x =9

x =9-5

x = 4 horas

Which equation represents the graphed function? A)-3x+2=y B)-2/3x+2=y C)3/2x-3=y D) 2x-3=y

Answers

Answer:

C) 3/2x-3=y

Step-by-step explanation:

-3 because that is the Y-intercept and 3/2 is the slope of the line. Y= mx +b is the formula and m is the slope and b is the y intercept.

The equation of given graph is y = [tex]\frac{-3}{2} x - 3[/tex]

Concept:The general equation of straight line is y = m x + x, where
m = slope of line and c =  y intercept

How to solve the given question?Here, the slope of line , [tex]m = \frac{-3 - 0}{2-0} = \frac{-3}{2}[/tex]Y intercept, c = -3∴ the equation of the graphed line, y = [tex]\frac{-3}{2} x - 3[/tex]

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what is x2 + y2 + 4x - 14y + 37 = in standard form

Answers

Steps:

Since there are no like terms. We have to convert the number that is  x2 + y2 + 4x - 14y + 37  into standard form. The correct answer will be NaN X 10°

So that is in a standard form.

Answer: NaN X 10

Please mark brainliest

Hope this helps.

what are the solutions of x^2-4x-9=29

Answers

Answer: x =(4-√168)/2=2-√ 42 = -4.481

x =(4+√168)/2=2+√ 42 = 8.481

Step-by-step explanation:

Answer:

x = -4.48,  8.48 to the nearest hundredth.

Step-by-step explanation:

x^2 - 4x - 9 = 29

Completing the square:

(x - 2)^2 - 4 - 9 = 29

(x - 2)^2 = 29 + 13 = 42

x - 2 = +/-√42

x = 2 +/-√42

x = 8.48, -4.48 .

Helpppp with this asappp plz❤️

Answers

Step-by-step explanation:

1 (b) ( boy, boy), (boy,girl), ( girl,boy ), ( girl, girl )

(c) 4

(d) 2/4 = 1/2

(e) 1/4

2 (a) (1,head), (1,tail), (2,head), (2,tail), (3,head), (3,tail), (4,head), (4,tail)

(b) (A,1) (A,2), (A,3), (B,1), (B,2), (B,3), (C,1), (C,2),

(C,3)

Oliver bought a scarf that costs 8 dollars and a watch that costs 9 dollars. At the counter he received a discount. If he paid only 13 dollars, how many dollars was the discount.

Answers

Answer: 4

Step-by-step explanation:8 + 9 = 17 you take what he paid 13 and subtract 13 from 17 and you get 4. 4 is how many dollars off he got.

Help me plsssss. Exterior angles definitions

Answers

Step-by-step explanation:

an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°

SH
Complete each step in the following solution.
10x + 8 = 3(x - 2)
10x + 8 = 3x
DONE
7x=
DONE
x= -2

Answers

Answer: x= -2

Step-by-step explanation: use pemdas

10x + 8 = 3(x - 2) distribuite parenthesis

10x + 8 = 3x - 6

10x + 8 = 3x - 6 add like terms

7x +8= -6 add like terms

7x= -14 divide to get x alone

x= -2

Answer:

x = - 2

Step-by-step explanation:

10x + 8 =3(x-2)

10x + 8 =3x - 6

10x - 3x = - 6 - 8

7x = - 14

7x/7 = -14/7

x = - 2

Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)

Answers

Answer:

B

Step-by-step explanation:

A function cannot have more than one point on the same x coordinate. So, B is the only option that works.

The sum of the measures of two complementary angles exceeds the difference of their measures by 86. Find the measure of the larger angle.

Answers

You will need to know that the sum of "two complementary angles" is 90
therefore
Let x = one angle
then
90-x = second angle
.
Now, we construct our equation based on the sentence:
"The sum of the measures of two complementary angles exceeds the difference of their measures by 86°."
x + 90-x = x-(90-x)+86
90 = x-90+x+86
90 = 2x-90+86
90 = 2x-4
94 = 2x
47 degrees = x (first angle)
.
Second angle:
90-x = 90-47 = 43 degrees (second angle) hope it helps

2y + 4(y + 1) = blank y + blank

Answers

[tex]2y + 4(y + 1)[/tex]

Expand the brackets.

[tex]2y + 4y + 4[/tex]

Add the like terms.

[tex]6y + 4[/tex]

6y+4

Answer:

  6   y +    4  

Step-by-step explanation:

=> 2y+4(y+1)

=> 2y+4y+4

=> 6y+4

help me agian (**) plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

130%

Step-by-step explanation:

1.3=

130/100=

130%

Hope this helps!

Answer:

130%

Step-by-step explanation:

To express a decimal as a percent, you need to multiply it by 100.

1.3×100=

130

1.3 as a percent is 130%

Use the quadratic formula to find the solution to the quadratic equation below pt2

Answers

Answer:

x=3/2

Step-by-step explanation:

There is only one solution.

Answer: x=3/2

Step-by-step explanation:

2x^2+14x-36 factored. please and thanks

Answers

Answer:

2 (x - 2) (x + 9)

Step-by-step explanation:

Mark brainliest please

Reflect triangle A in the line y=x
please can you just state all the coordinates to make up the triangle

Answers

Answer:

(5,6), (3, 6) and (3, 5).

Step-by-step explanation:

If we imagine the line y = x to be a mirror , the image of each point is the same perpendicular distance to the mirror has the original point.

So the image of (6,5) = (5,6)

(6, 3) ---> ( 3, 6)

(5,3) ---> (3, 5).

Note that the coordinates are reversed in each case.

In this case the general rule for the reflection is  (x, y)  ---> (y, x).

a cylinder has radius 2cm. the volume of the cylinder is 100cmcubed. work out the height of the cylinder, rounded to 2 decimal places.

Answers

Answer: height = 7.96 cm

Step-by-step explanation:

Height = volume / πr^2

h = 100 / π*2^2

h = 7.96 cm

Melanie’s bedroom floor is rectangular in shape and has a width equal to 8x−6 and a length equal to 7x−3. What equation represents the area of the floor?



Select one or more:
a. A=56x2+66x+18

b. A=56x2+18x+18

c. A=56x2−66x+18

d. A=56x2−18x+18

Answers

Answer:

C

Step-by-step explanation:

Since the area of a rectangle is the width multiplied by the length, the area of this one would be:

[tex](8x-6)(7x-3)= \\\\56x^2-42x-24x+18=\\\\56x^2-66x+18[/tex]

Therefore, the correct answer is choice C. Hope this helps!

A standard six-sided die is rolled three times. Use multiplication to determine the probability that a one or two appears on the second roll, and an odd number appears on the third roll

Answers

Answer:

1/6

Step-by-step explanation:

Since we don't care what appears on the first roll

P( outcome) = 1

Second roll

P(1 or 2) = number of 1 or 2 / total number of outcomes

              =2/6 = 1/2

Third roll

odd numbers 1,3,5

P( odd number)= number of odd numbers/ total

                          =3/6 =1/2

P( outcome, 1or 2, odd)  = P( outcome) *P(1 or 2) *P( odd number)

                                       = 1* 1/3 * 1/2

                                       = 1/6

Please help on this !!!!!!!!!!! Will mark brainliest answer !!!!!!!!!

Answers

Answer:

the smallest r is the 4r and the biggest r is the r^2

VERTEX (-2,-64)

Step-by-step explanation:

Answer:

smaller r = -10

larger r = 6

The ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]

Step-by-step explanation:

We have the function [tex]f(r)=r^2+4x-60[/tex]

In order to factor this quadratic equation, we need to look for two numbers that will

Add together to get 4

Multiply together to get -60

Lets look for the numbers that multiply to give us -60.

-1 and 60

1 and -60

2 and -30

-2 and 30

3 and -20

-3 and 20

4 and -15

-4 and 15

5 and -12

-5 and 12

6 and -10

-6 and 10

Now, we just need to determine which of these numbers will add together to get us 4.

Those two numbers would be -6 and 10.

This means that our factored form of this equation will be

[tex]f(r)=(r-6)(r+10)[/tex]

From this, we can find our roots, which are the solutions to the equation when it is equal to 0.

[tex](r-6)(r+10)=0\\\\r=-10, r=6[/tex]

These are our r values.

The vertex of a parabola will always be directly between the two roots.

The number that is between -10 and 6 is [tex]r=-2[/tex]

To find the y-value of the coordinate pair, we just need to plug -2 into our function.

[tex]f(-2)=(-2)^2+4(-2)-60\\\\f(-2)=4-8-60\\\\f(-2)=-64[/tex]

This means that the ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]

Evaluate the expression shown for x = 9.
Negative StartFraction 5 over 6 EndFraction x + 7
Negative 13 and one-third
Negative one-half
7 and one-third
9 and two-thirds

Answers

Answer:

So since the equation is -5/6x+7 we need to plug in equation. So x is equal to 9 we have -45/6x+7. Now we need to simplify. That will give us -7 1/2+7

= - 1/2 So the answer is B

The answer is -1/2

What is expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.

Given:

-5/6 x+ 7

Now, for x=9

-5/6 * 9 + 7

=-15/2+7

=(-15+14)/2

=-1/2

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Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the new function and write it in simplest form
f+g
a.
-x² + 2x - 2
b. x2 - 2x + 2
x² + 2x - 4
d. 2x3 - 3x2 - 2x + 3
Please select the best answer from the choices provided
A
B
С
D

Answers

Answer:

Option C is the correct answer

[tex] {x}^{2} + 2x - 4[/tex]

Step-by-step explanation:

[tex]f(x) = {x}^{2} - 1 \\ g(x) = 2x - 3 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = {x}^{2} - 1 + 2x - 3 \\ \purple{ \boxed{ \bold{ (f + g)(x) = {x}^{2} + 2x - 4}}}[/tex]

Answer:

Step-by-step explanation:

Evaluate A^2-B^2 for A=3 and B=-4.

Answers

Answer:

7

Step-by-step explanation:

3^2 = 9

(-4)^2 = 16

16-9= 7

The diaper service where you work bills customers once a week. Each week, it charges 0.30 each for the first 75 diapers used, and .025 each for any additional diapers. How much should you bill a family that used 100 diapers last week?

Answers

Answer: The correct answer for this question is $6.55

Step-by-step explanation:

Hope this helps

Answer:

28.75

Step-by-step explanation:

In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to _____ and the measure of angle 1 is_____ degrees. The measure of angle 8 is _____ degrees.

Answers

Answer:

-11

Step-by-step explanation:

can anybody help me on this please I will be giving 15 points..

Answers

Answer:

BC=[tex]\sqrt{95}[/tex]

Angle A (or BAC)=54.31466...

Angle C (or ACB)=35.68533...

Step-by-step explanation:

[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}[/tex]

[tex]BC=\sqrt{12^2-7^2}[/tex]

[tex]\sqrt{12^2-7^2}=\sqrt{95}[/tex]

[tex]\frac{\sqrt{95}}{\sin \left(\angle \:BAC\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:BAC=54.31466[/tex]

[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:ACB=35.68533[/tex]

Using the pythagorean theorem

[tex]AC^2=AB^2+BC^2\\BC=\sqrt{AC^2-AB^2}\\BC=\sqrt{12^2-7^2}\\BC=\sqrt{144-49}\\BC=\sqrt{95}[/tex]

[tex]sin A=\frac{BC}{AC}=\frac{\sqrt{95} }{12}\\A = sin^{-1}(\frac{\sqrt{95} }{12})\\A = 54.31[/tex]

[tex]A + C = 90\\C = 90-A\\C= 90- 54.31\\C = 35.69[/tex]

I'll send a screenshot of the problem. I'd really like an answer, please do your best!

Answers

Answer:

a). $(725 - 22t)

b). $99

Step-by-step explanation:

Expense account of the school has balance after 't' weeks = $(450 - 70t)

And fundraising account has the balance = $(275 + 48t)

a). Total amount in both the accounts after 't' weeks

    = $(450 - 70t) + $(275 + 48t)

    = $(450 + 275) + $(-70t + 48t)

    = $(725 - 22t)

b). Total amount after 8 weeks

    = $(725 - 22×8)

    = $(275 - 176)

    = $99

15. If the point (5,k) lies on the line represented by the equation 2x + y = 9, the value of k is....

C) -1
D) -2
A and B where wrong. 15 points for whomever answers correctly

Answers

Answer:

The answer is C.

Step-by-step explanation:

Given that (5,k) lies on the line that has the equation of 2x + y = 9. So in order to find k, you have to substitute the coordinates into the equation :

[tex]2x + y = 9[/tex]

Let x = 5,

Let y = k,

[tex]2(5) + k = 9[/tex]

[tex]10 + k = 9[/tex]

[tex]k = 9 - 10[/tex]

[tex]k = - 1[/tex]

Alexandra and Austin applied to the same university. They looked up the average SAT score of students admitted to that university. Alexandra's SAT score was 40 points above the average score. Austin's SAT score was 330 points below the average score. Which expression represents the difference in their scores?

Answers

Answer:

x= (y+40)-(y-330)

Step-by-step explanation:

According to the information provided, the difference in their scores would be the result of subtracting Austin's SAT score from Alexandra's SAT score.

Then, as Alexandra's SAT score was 40 points above the average score this means that you have to add 40 to the average score to get her result. Also, as Austin's SAT score was 330 points below the average score, this means that you have to subtract 330 from the average score. With this you can write the expression:

x= difference in their scores

y= average score

x= (y+40)-(y-330)

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