what is the length of the diagonal of a rectangle with width 3,5 cm and length 4,5 cm give your answer in simplest surd form​

Answers

Answer 1

Answer:

Step-by-step explanation:

By Pythagoras:

d^2 = (3.5)^2 + (4.5)^2

d^2 = 12.25 + 20.25 = 32.5

d = √32.5


Related Questions

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PLEASE HELP!!

What is the equation of the line —3x – 2y = 30 in slope-intercept form?

Answers

Answer:

2nd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

- 3x - 2y = 30 ( add 3x to both sides )

- 2y = 3x + 30 ( divide terms by - 2 )

y = - [tex]\frac{3}{2}[/tex] x - 15 ← in slope- intercept form

The sides of a square have length s. Write a formula for the perimeter P of the square. Write a formula for the area A of the square.

Answers

Answer:

a

Step-by-step explanation:

Simplify (a – b)(a2 – 5ab + 2)

Answers

Answer:

5ab^2-6a^2b+a^3-2b+2a

Step-by-step explanation:

The simplified expression of  expression  (a – b)(a² – 5ab + 2) is a³ – 6a²b + 5ab² + 2a – 2b

What is Expression?

An expression is combination of variables, numbers and operators.

To simplify the expression (a – b)(a² – 5ab + 2), we need to apply the distributive property, which states that:

(a + b)(c + d) = ac + ad + bc + bd

Using this property, we can multiply the two binomials as follows:

(a – b)(a² – 5ab + 2) = a(a² – 5ab + 2) – b(a² – 5ab + 2)

Now we can distribute the terms of each binomial:

= a³ – 5a²b + 2a – a²b + 5ab² – 2b

Simplifying the terms, we can combine like terms:

= a³ – 6a²b + 5ab² + 2a – 2b

Therefore, the simplified expression is a³ – 6a²b + 5ab² + 2a – 2b

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What is the equation of the perpendicular bisector of the line
segment between (-1,5) and (3, 7)?

Answers

Answer:

Step-by-step explanation:

d

Subtract ​​using the number line.

−23−(−113)




−123

−23

−13

23

Answers

Answer:

The answer is 2/3

Step-by-step explanation:

HELP GRAPH THE LINE THAT REPRESENTS THIS EQUATION

y +2 = 1/2(x +2)

Answers

Answer:

Step-by-step explanation:

what is the answer to this

Answers

Answer:

G.

Step-by-step explanation:

8= -2/5c c=
What does c= ?

Answers

Answer:

c = -20

Step-by-step explanation:

8/-0.4=-20.

8 = (-2/5) * 20

one-third of the sum of x and 2 as an expression ​

Answers

Answer:

[tex]\frac{1}{3}[/tex](x+2)

Step-by-step explanation:

Hope this helps! :)

Step-by-step explanation:

1) Let the number be x.

2) To find one-third of a number, divide the number by 3 ,

3) x÷3.

2(x + 4) < 4x - 6 smallest integer

Answers

Answer:

The smallest integer is 8

Step-by-step explanation:

2( x + 4 ) < 4x - 6

4x - 6 > 2x + 8

2x > 14

x > 7

The smallest integer is 8

helpppppppppppppppppppppppppppppppppppppppppppppppppp plessssssssssss
screenshot

Answers

Answer:

2.511 square kilometers

Due tomorrow please help

Answers

Answer:

The choice B.

[tex]x > 4 \\ x < - 1[/tex]

I hope I helped you^_^

Can someone pls help me

Answers

>> Answer

__________

[tex] \: [/tex]

a² = c² - b²

a² = 9² - (√65)²

a² = 81 - 65

a² = 16

a = √16

a = 4

Use Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=9^2-(√65)^2[/tex]

[tex]\\ \sf\longmapsto P^2=81-65[/tex]

[tex]\\ \sf\longmapsto P^2=16[/tex]

[tex]\\ \sf\longmapsto P=4[/tex]

Explain the relationship between place values, and how the place values change as you go to the left and to the right. Use the numbers 10, 1, and 0.1 in your explanation.

Answers

Answer:

the place value changes by dividing by 10 or multiplying by 10. take one and go right on the number line you get 10. go left from 1 and you get 0.1

the price of a shirt was reduced $15 to 9$ by what percentage was the price of the shirt reduced

Answers

If the price of the shirt was reduced from $15 to $9, the percentage reduction in price is 40%

How to find percentage reduction?

The price of the shirt was reduced from 15 dollars to 9 dollars. Therefore, the percentage reduction can be found as follows:

15 - 9 = 6 dollars

Therefore,

percentage reduction = 6 / 15 ×100

percentage reduction= 600 / 15

percentage reduction = 40%

Therefore, the percentage reduction in price is 40%.

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1. Josiah's checking account was at $104,24 on Monday. One of his checks was cashed on Tuesday and his
account went down to - $23.99. What was the value of the check that was cashed? Show all work
necessary to justify your answer.

Answers

Step-by-step explanation:

mondey balance 104.24$

Tuesday balancs -23.99$

value = 104.24+23.99=128.23$

P=[−3610−4] , Q=[−2571] , R=[4−20813]

Given the three matrices above, evaluate P+Q.

P+Q=[acbd]. Find the values of a, b, c, and d.

Answers

Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]

The values of a, b, c and d is determined by the addition of matrices P and Q, that is:

[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

We have that the matrices are:

[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]

[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]

Then:

[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]

Finally:

[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

Thus, the values are:

[tex]a = -5, b = 8, c = 11, d = -3[/tex]

A similar problem is given at https://brainly.com/question/24810141

What does this equal? Show your work pls

Answers

Answer:

can u show us the question

Step-by-step explanation:

Is my WiFi tripping or there’s no questions

Suppose (4,2) is a point on the graph y=f(x). What is a point that would be on the graph if y=10f(x)+5

Answers

Step-by-step explanation:

3,4 i think....... mmmmmmmmm

Answer:

(4 , 25)

Step-by-step explanation:

y = 10*f(x) + 5   .... a = 10

a*f(x): vertical stretch with factor a, if | a | > 1 then (x , y) -> (x , ay)

(4 , 2) ==> (4 , 20)

f'(x) + b : vertical translation UP b units  y = 10*f(x) + 5 , (x,y) -> (x, y+5)

(4 , 20) ==> (4 , 25)

Dividing Decimals by Decimals Word Problems

The Sanchez family drove 48.9 miles to the river. It took them 1.2 hours to get there. How fast did they drive in miles per hour?
Please answer quickly because this is due tomorrow

Answers

Answer:

speed = distance÷time 48.7÷1.2 = 40.58

What is 5( x - 3 ) = 5x - 15?

Answers

[tex]\tt5( x - 3 ) = 5x - 15 \\ \tt5x - 15 = 5x - 15 \\ \tt5x - 5x = - 15 + 15 \\ \tt\bcancel{5x} - \bcancel{5x} = \bcancel{- 15} + \bcancel{15} \\ \boxed{\tt0 = 0}[/tex]

The answer is 0.LHS = RHS, hence verified.

Value of x (substitute 0 in the place of x).

[tex]\tt5( (0) - 3 ) = 5(0) - 15 \\ \tt0 - 15 = 0 - 15 \\ \tt \boxed{\tt -15 = -15}[/tex]

So, value of x is 0.

Mrs. James needs to have her Jeep repaired but does not want to spend more than $375 for the repairs. The mechanic says that the part needed for the repair will cost $100 and the labor will cost an additional $40 per hour. Which inequality represents the greatest number of hours the mechanic can work without exceeding Mrs. James' budget?

Answers

Answer:

375 = 40x + 100

Step-by-step explanation:

In a walk-a-thon a sponsor will donate $20 and an additional $3 for each mile the participant walks. What is the rate of change in the situation? Fill in your answer in the boxes below.

Answers

Answer:

20 + 3x or +3 per mile

Step-by-step explanation:

I will mark brainly if correct

Answers

I believe option 3 is the correct answer! Multiply the (days) by 37.5!

Please help first person to answer correctly with no links get 50 points and marked as brainliest no links please

Answers

Answer:

C, first I'm not sure if it's correct, but hear me out.

Step-by-step explanation:

If we already know that B=34 we need to find out the rest.

B=50 (Estimated)

D=45 (Estimated)

34+50+45

34+50=84+45=129, 129 estimated=130, and since their is no answer choice but C it should be C, I could be very wrong though.

How do I solve for Y?

Answers

Start with the small triangle on the right:

   35 + 96 + x = 180

   x = 49

Ah, you already have that.  Nice!

Now move to the biggest triangle:

   x + 77 + (35+y) = 180

but x = 49, so

   49 + 77 + 35+y = 180

   y = 19

Johnny is saving money to buy a Nintendo Switch. He already has $100 saved. He plans to save $20 from his allowance each week. Write the equation that represents the total savings, y, in terms of x weeks. What is Johnny's total savings after 8 weeks?

Answers

Answer:

1. y=20x+100(this is the equation)

2. 260(this is how much he has after 8 weeks)

Step-by-step explanation:

Saving is the remaining money after all the expenditure. Thus, Johnny's total savings after 8 weeks will be $[tex]260[/tex].

Johnny is saving money to buy a Nintendo Switch.

He already saved the amount of $100.

He plans to save from his allowance each week is $20

The equation that represents the total savings is mentioned below.

[tex]y=20x+100[/tex]

Therefore, Substitute the values and solve them further.

[tex]y= (20\times 8) + 100[/tex]

[tex]y= 260[/tex]

Hence, Johnny's total savings after 8 weeks will be $[tex]260[/tex]

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Peyton made a 40% on her Math test. If she got 12 questions correct, how many total questions were on the test?

Answers

Answer: 30

Step-by-step explanation:

 40% = 12  |  40% + 40% = 80%  |   80% = 24  |  12 / 2 = 6  |  6 = 20%  | 40% + 40% + 20% = 30 questions

Please note that i'm not a professor and i might have this wrong.

can someone please help me with this question including a full explnation? ​

Answers

Given :-

Diameter of table = 2.3m Length of cloth to be hanged = 10cm .

To find :-

The area of tablecloth required .

Solution :-

According to Question ,

r = 2.3/2 + 10/100 m r = 1.15 + 0.1m r = 1.25m

As we know that ,

Area = πr²Area = 3.14 * 1.25 * 1.25 m² Area = 4.90 5m²

please help out, using your knowledge of equilateral and isosceles triangles, find the value of x

Answers

Answer:

can not see the picture

Step-by-step explanation:

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