A courtyard has the shape of a rectangle 45 ft and 28 ft wide. How long is a sidewalk from one corner diagonally to the opposite corner?
56 ft

47 ft

50 ft

53 ft

Answers

Answer 1

Answer:

53

Step-by-step explanation:

We use the pythagorean theorem, a^2 + b^2 = c^2. We can fill a and b for 45 and 28. 45^2 is 2025, and 28^2 is 784. Adding them up gives us 2809. The square root of 2809 is 53.


Related Questions

can you help me solve​

Answers

Answer:

A

Step-by-step explanation:

2^2 - 2 = 2

3^2 - 2 = 7

1^2 - 2 = -1

-1^2 - 2 = -1

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the quadratic formula to solve the equation.

X^2 - 7x – 6 = 0

Answers

Step-by-step explanation:

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

a=1.

b=-7

c=-6

x=

[tex] \frac{ - ( - 7) + \sqrt{ (- 7)^{2} - 4(1)( - 6)} }{2(1)} [/tex]

OR

[tex] \frac{ - ( - 7) - \sqrt{ (- 7) ^{2} - 4(1)( - 6)} }{2(1)} [/tex]

Therefore x= 7,772

OR

x=-0,772

Frank rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 76 cents for cach mile driven. Frank had
S152.75 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

Frank drove 176 miles.

Step-by-step explanation:

Subtract the base fee from the total payment

152.75 - 18.99 = 133.76

divide the remaining amount(price for miles driven) by the cost for each mile

133.76 / .76 = 176

176 miles.

On solving the linear equation in one variable, given that there was a base fee of $18.99, and there was an additional charge of 76 cents for each mile driven, Frank had $152.75 when he returned the truck, the number of miles driven were 176 miles.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable.

Let the number of miles driven be x.

Given in the question,

base fees = $18.99

charge per mile = 76 cents = $0.76

The equation of the total cost becomes :

= base fees  + charge per mile * number of miles

= 18.99 + 0.76x

Given the total cost = $152.75

Equating the two values,

= 18.99 + 0.76x = 152.75

= 0.76x  = 133.76

= x = 176

Learn more about  linear equation here

https://brainly.com/question/32634451

#SPJ2

Help please!!!!!!!!!!!!!!!!!

Answers

Answer:

You are correct it is indeed mortgage!

Step-by-step explanation:

This is because a fixed expense is something that cannot be changed easily. Like a mortgage, car payments, rent payments, or insurance.

Hope this helps, I tried to just briefly explain! :)

find all complex solutions of 5x^2+5x+4=0

Answers

Answer:

-1/2 + i/10 sqrt(55)  , -1/2 - i/10 sqrt(55)

Step-by-step explanation:

5x^2+5x+4=0

a=5  b= 5  c=4

Using the quadratic formula

-b ± sqrt( b^2 -4ac)

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

  2a

-5 ± sqrt( 5^2 - 4(5)(4))

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

2(5)

-5±sqrt( 25 - 80)

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

10

-5± sqrt(-55)

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

10

-5/10  ± 1/10  i sqrt(55)

-1/2 + i/10 sqrt(55)  and -1/2 - i/10 sqrt(55)

Answer:

x= -5 ± i√55 / 10

Step-by-step explanation:

hope i helped

The cost of a bag of fruits is proportional to the number of pounds. The cost for 1 ⅕ pound of fruit is $6.54. How much does a pound of fruits cost? Write an equation based on your answer.

Answers

From the computation done, the cost of the pound of fruits based on the information will be $5.45.

From the information given, it's stated that the cost of a bag of fruits is proportional to the number of pounds and that cost for 1 ⅕ pound of fruit is $6.54.

Therefore, to calculate the cost of a pound of fruit, this will be:

= 6.54 / 1 ⅕

= 6.54 / 1.2

= $5.45

Therefore, the pound of fruits cost $5.45.

Learn more about equations on:

https://brainly.com/question/13763238

I was absentee and i dont know how to solve it help plz

Answers

Answer:

-1/3

i think.

Step-by-step explanation:

if it's to find slope

Answer:

m = -1/3

Step-by-step explanation:

There are two easy ways you can find the slope. The first one is using the rise over run method which is to first count how much you need to go up or down to get to the other point, and then how much you need to go forward. In this case you go down one, and forward three. This means its -1/3. You can also use the slope formula which uses the coordinates of each point. I attached it to this answer. (m representing slope)

Help math if f(x) =

PLEASEEEEE MY LIFE DEPENDS ON THIS

I will send good fortune your way if you answer correctly (and points)

Answers

We have: f(-3) = -2(-3) = 6

ANSWER: f(-3) = 6
Ok done. Thank to me :>

If your money doubles once every 30 minutes and your start with $12, how much money will you have in 1.5 day?

Answers

Answer:

$1728

Step-by-step explanation:

1.5 days is 36 hrs

36 hrs is 2160 mins

2160/30 = 72 (this is the amount of times our money will be doubled)

72*2 = 144

$12*144 = $1728

What is the number that is greater than 0.13 but smaller than 0.131

Answers

Answer:

any number between the two

for example: 0.1309, 0.1308, 0.1301, etc.

Step-by-step explanation:

hope this helped :)

Step-by-step explanation:

0.1308, 0.1309, 0.1301

Help please I’m begging pls thank you very much

Answers

Answer:

2 × n - 1 = x

Step-by-step explanation:

1 times 2 is 2-1 is 1.

2 times 2 is 4-1 is 3.

And so on.

1 TO 7 2 TO 5 3 TO 1  4 TO 3

HELPPPPP PLSSSSSSSSSSSSSSS

Answers

Answer: $54.66

Step-by-step explanation:

The 18% turns into 0.18, they mean the same thing.

46.32 * 0.18 = 8.34 (Unsimplified answer: 8.3376)

Add tip to the cost.

46.32 + 8.34 = 54.66

Correct me if it is incorrect.

Perimeter of piecewise rectangular figure. Please help.

Answers

Check the picture below.

so the perimeter is 6+16+14+7+8+9 = 60.

IR = V (solve for R) *

Answers

Answer:

R = [tex]\frac{V}{I}[/tex]

Step-by-step explanation:

IR = V ( isolate R by dividing both sides by I )

R = [tex]\frac{V}{I}[/tex]

please help!! easy but i don't understand <3

Answers

in essence it's just asking on getting the equation of that line in more or less slope-intercept form, hmmm well, it's a line, so all we need is two points to get it, hmmm let's see let's use the starting point and terminal point, so we know it goes through the origin, (0,0) and also goes through (1, 0.7), let's change 0.7 to a fraction, so its 7/10, ok, let's use those two points from it.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{\frac{7}{10}}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{7}{10}}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{~~ \frac{7}{10}~~}{1}\implies \cfrac{7}{10}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{7}{10}}(x-\stackrel{x_1}{0})\implies y = \cfrac{7}{10}x[/tex]

What is the sign of the product (-5)(-3)(-8)(-6)? (5 points) Positive, because the products (-5)(-3) and (-8)(-6) are negative, and the product of two negative numbers is positive Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive Negative, because the products (-5)(-3) and (-8)(-6) are negative, and the product of two negative numbers is negative Negative, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is negative

Answers

Answer: Choice B

Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive

=======================================================

Explanation:

Recall we have these rules

positive times positive = positivepositive times negative = negativenegative times negative = positive

Here is one example for each rule

8*7 = 565*(-9) = -45-2*(-4) = 8

So based on that, we know that (-5)(-3) is positive. The two negatives cancel each other out so to speak. The same goes for (-8)(-6). Then multiplying any two positive numbers produces another positive outcome.

Find the equation of the line

Answers

Answer:

Y = 4x - 9

Step-by-step explanation:

Hope this helps! If it’s wrong I’m really sorry.

Pls give brainliest!

Answer:

...

Step-by-step explanation:

Here is my question ​

Answers

Answer:

[tex]\frac{17}{24}[/tex]

Step-by-step explanation:

Step 1 :

4 - 1 [tex]\frac{3}{5}[/tex] = 2 [tex]\frac{2}{5}[/tex]

Step 2 :

1 ÷ 2 [tex]\frac{2}{5}[/tex] = 1 × [tex]\frac{5}{12}[/tex] = [tex]\frac{5}{12}[/tex]

Step 3:

[tex]\frac{2}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{8+5}{12}[/tex] = [tex]\frac{13}{12}[/tex] = 1 [tex]\frac{1}{12}[/tex]

Step 4:

3 ÷ [tex]\frac{13}{12}[/tex] = 3 × [tex]\frac{12}{13}[/tex] = [tex]\frac{36}{13}[/tex] = 2 [tex]\frac{10}{13}[/tex]

Step 5:

1 - 2 [tex]\frac{10}{13}[/tex] = - 1 [tex]\frac{10}{13}[/tex] = - [tex]\frac{23}{13}[/tex]

Step 6:

1 - [tex]\frac{16}{39}[/tex] = [tex]\frac{23}{39}[/tex]

Step 7:

[tex]\frac{23}{39}[/tex] ÷ ( - [tex]\frac{23}{13}[/tex] ) = - [tex]\frac{23}{39}[/tex] × [tex]\frac{13}{23}[/tex] = - [tex]\frac{1}{3}[/tex]

Step 8:

[tex]\frac{3}{8}[/tex] - ( - [tex]\frac{1}{3}[/tex] ) = [tex]\frac{3}{8}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{9+8}{24}[/tex] = [tex]\frac{17}{24}[/tex]

Cuál sería el interés producido durante tres años, por un capital de s/30 000, al 5%

Answers

Answer:

2%

Step-by-step explanation:

Answer: la respuesta a tu pregunta es 2%

que tengas un gran día / noche!

What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?

Answers

Answer:

7

Step-by-step explanation:

7

11/2 ___ 55%? PLS I NEED A AWNSER

Answers

Answer:

The answer is >

Step-by-step explanation:

11/2 as a percentage is equal to 550% which is greater than (>) 55%

Y=3x-1 i need help now right now.

Answers

This is not a question lol, positive slope

Y intercept is -1

Slope is 3

)
0
2
1 + 3 = 2 +
Balancing equation

Answers

I’m not sure but I need points so please mark this as answer :)

Able Johnson wants to buy a whole life policy with a face value of $250,000. He is 40 years old, and the premium fee for his age is $19.50 per
$1,000 unit of face value. What is his annual premium?

Answers

Answer:

19.65 cnets

Step-by-step explanation:

Solve for g. Make sure to use scrap paper to show your work.

( 144 + 6 x 8 ) ÷ 3 = g

192
64
48
NO NOT PUT THIS IN A FILE

Answers

Answer:

64

Step-by-step explanation:

P E D M A S

() ² ÷ × + -

6 x 8 = 48

114 + 48 = 192

(192) ÷ 3 = g

192 / 3 = 64

g = 64

What is the product of y and 10

Answers

Answer:

10y

Step-by-step explanation:

product means to multiply so you would multiply y and 10 so the options would be

10y

y x 10

patsy can decorate 3 1/2 cupcakes in 1/4 hour at this rate how many cupcakes can patsy decorate in 1 hour

Answers

Answer:

14

Step-by-step explanation:

3.5 cupcakes can be done by 15 mn

X cupcakes can be done by 1 hour

35 ×60mn =15X

210 /15=X

X= 14

so 14 cupcakes will be done by an hour

Identify the focus and directrix of the parabola represented by the equation (y-2)^2= 24 (x-5)

Answers

Answer: Directix= -1

Focus (11, 2)

Step-by-step explanation:

The answer Is 1
Explanation it’s 1

How many solutions does this system have?

y = -6x - 5

-2y +7 = 12x


A.
One Solution

B.
Two Solutions

C.
No Solutions ***** (what i think)

D.
Infinitely Many Solutions

Answers

A system of equation may have one, zero or infinitely many solutions

The system of equation has no solutions

The systems of equation are given as:

[tex]y = -6x - 5[/tex]

[tex]-2y +7 = 12x[/tex]

Substitute -6x - 5 for y in [tex]-2y +7 = 12x[/tex]

[tex]-2(-6x - 5) +7 = 12x[/tex]

Open brackets

[tex]12x + 10 +7 = 12x[/tex]

[tex]12x + 17 = 12x[/tex]

Subtract 12x from both sides of the equation

[tex]17 = 0[/tex]

The above equation is not true i.e.[tex]17 \ne 0[/tex]

Hence, the system of equation has no solutions

Read more about solutions of equations at:

https://brainly.com/question/9338739

HELLLP ME I GIVE BRAINLIESST


The youth group is going on a trip to the state fair. The trip costs $64. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.

Answers

62=14 + 2x
62-14=2x
48=2x
48/2=x
24 answer: 24

Answer:

each pass costs $26

Step-by-step explanation:

12 + 2x = 64

-12           -12

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

2x = 52

x=26

hope this helps! :D

have a miraculous day everybody!!

brainliest is immensely appreciated!!! <3

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