A rectangular garden is 14 feet wide and 48 feet long.
If you stand in one corner of the garden, how many feet
away is the corner diagonally across from you?

Answers

Answer 1

Answer: 50 feet

Step-by-step explanation:

Since it is a rectangle and you in the corner diagonally; you can draw a line diagonally across in the rectangle and you are left with two triangles.

So since its two right-angled triangles

a = 14 feet

b = 48 feet

You need to find c which is the diagonal.

Using the pythagorean theorem which is:

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

[tex]c^{2} = 14^{2} + 48^{2}[/tex]

Square the a and b then add

[tex]c^{2} = 136 + 2304[/tex]

[tex]c^{2} = 2500[/tex]

Now carry over the square on the c and change it to the square root

[tex]c = \sqrt{2500}[/tex]

when you square root

[tex]c = 50[/tex]

therefore it is 50 feet diagonally across


Related Questions

5 yards 2 feet times 2

Answers

Answer:

11 yards 1 feet or 34 feet

Step-by-step explanation:

1st method:

(5 yards × 2) + (2 feet × 2)10 yards + 4 feet11 yards and 1 feet

2nd method:

5 yards = 15 feet(15 feet × 2) + (2 feet × 2)30 feet + 4 feet34 feet

Kadeem wants to ride his bicycle 52 miles this week. He has already ridden 16 miles. If he rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.
How to solve this for an equation.

Answers

The average number of miles that would be ridden to meet his goal is 7.2 miles.

Total distance = 52 miles

Distance ridden = 16 miles

Number of days left = 5 days

Let the number of miles that'll be ridden for each day be represented by x.

Therefore, the equation to solve the question will be:

5(x) + 16 = 52

5x + 16 = 52

5x = 52 - 16

5x = 36

x = 36/5

x = 7.2

Therefore, he'll have to ride 7.2 miles per day.

Read related link on:

https://brainly.com/question/25216701

A diesel train left Abuja and traveled west.Two hours later a freight train left traveling 15 mph faster in an effort to catch up to it. After six hours the freight train finally caught up. Find the diesel train's average speed. (Need to have chart and explanation)

Answers

Step-by-step explanation:

let the speed of diesel train = x

the equation would be:

(2+6)x = 6(x+15)

8x = 6x+90

8x-6x = 90

2x = 90

x = 90/2

x = 45

Therefore, the speed of diesel train =

45 mph

Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.


Which models can be used to solve the problem?

Answers

Answer:

its C

Step-by-step explanation:

|x-1|+2<4 solving for x

Answers

Answer:

x < 3 and x > -1

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

[tex]|x-1| + 2 - 2 < 4 - 2[/tex] [tex]|x-1|<2[/tex]

Step 2: Solve absolute value.

We know x - 1 < 2 and x - 1 > -2.

Condition 1:

[tex]x - 1 < 2[/tex] [tex]x - 1 + 1 < 2 + 1[/tex] (Add 1 to both sides)[tex]x < 3[/tex]

Condition 2:

[tex]x - 1 > -2[/tex] [tex]x - 1 + 1 > -2 + 1[/tex] (Add 1 to both sides)[tex]x>-1[/tex]

Therefore, the answer is x < 3 and x > -1.

12 out of 20 students prefer having a study hall. What percentage of students prefer study hall?

Answers

12 out of 20
Your answer is the question

Answer:

2.4 %

Step-by-step explanation:

magic *poof*

Write the equation of the line in slope intercept form the line is parallel to y+x=3 and passes through the point(-12,0)

Answers

Answer:

y= -x -12

Step-by-step explanation:

change y+x=3 to the form y=-x +3

gradient= -1

*Parallel lines have the same gradient

y-coordinate = gradient (x - x-coordinate)

y-0= -1 (x- (-12))

y=-x-12

4x-16=9-x solve for x

Answers

Answer:

5

Step-by-step explanation:

4x-16=9-x

4x+x=16+9

5x=25

5x/5=25/5

x=5

You calculate the average shower length to be 11 minutes and 15 seconds. If everyone in a family of 5 showers daily, how much water would the family use for showering each week? 10L/min
Answer to the nearest litre.

Answers

Answer:

3855.25???

Step-by-step explanation:

what does it mean for statements to be logically equivalent?

Answers

Answer:

Two statement forms are called logically equivalent if they have identical truth values for each possible substitution for their statement variables.

Step-by-step explanation:

hope this helps <333

brainliest plz :) ?

Please help.. I don’t understand..

Answers

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the coefficient of the expression is +2 .

hope this helps.

* TRUE or FALSE: The absolute value of an integer is ALWAYS a positive number.​

Answers

Answer:

TRUE

Step-by-step explanation:

Absolute value refers to a point's distance from zero or origin on the number line, regardless of the direction. The absolute value of a number is always positive

will give correct answer brainliest​

Answers

Answer:

(-1,3) > (3,-2)

(2,-1) > (6,-6)

(5,-3) > (-1,-8)

Can someone pls help

Answers

Answer:

14x-13 good luck

Step-by-step explanation:

this is the answer

(9x-6)- (-5x+7)

9x-6+5x-7

9x+5x-6-7

14x-13

I need help asap leaving for flight in 2 hours PLZ HELP

Answers

Answer:

11$ for 10 is better it cost 1.1 per and 4 for 3$ cost 1.33333 (have a nice flight and I would like that brainliest if that's ok) :>

First you have to find the unit rate of each of them
Bob: 11/10 = 1.1 per bagel
Donny:3/4 = .75 per bagel

Better deal will have lower ratio of dollars per bagel

which inequality is true when the value of w is 13 w-<5 -w-3>-5 -w-3>5 w->5

Answers

w > -5 shows that w is greater than -5 and since 13 is greater than -5, hence the inequality expression w > -5 is true

We need to get the equation that is true for w to be 13. This means that the required inequality expression should be w must be a positive integer.

For the Expression -w - 3 > -5

-w > -5 + 3

-w > -2

w < 2

Since w is less than 2, hence the inequality is wrong

For the inequality

-w - 3 > 5

-w > 5 + 8

-w > 13

w < -13

Since w < -13, hence the inequality is wrong

For the inequality w > -5

It shows that w is greater than -5 and since 13 is greater than -5, hence the inequality expression w > -5 is true

Learn more here: https://brainly.com/question/15816805

Work out m and c for the line: 3 y + 6 x = − 3

Answers

Answer:

m is -2 and c is -1

Step-by-step explanation:

• Let's first phrase out the general equation of a line

[tex]{ \rm{y = mx + c}}[/tex]

m is the slopec is the y-intercept

[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

[tex]{ \rm{3y + 6x = - 3}}[/tex]

• let's make y the subject in order to make the equation in slope - intercept format.

remember to apply "subject making knowledge"

[tex]{ \rm{3y = - 3 - 6x}} \\ \\ { \rm{3y = - 6x - 3}} \\ \\ { \rm{ \frac{3y}{3} = \frac{ - 6x}{3} - \frac{3}{3} }} \\ \\ { \boxed{ \rm{y = - 2x - 1}}}[/tex]

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

[tex]{ \rm{m \: \dashrightarrow \: - 2}} \\ \\ { \rm{c \: \dashrightarrow \: - 1}}[/tex]

Maya is taking trip to the mall to purchase
Some new Clothes. She can afford spending up
to $150. If she wants to buy a pair of
shoes that cost $49.50 and variety of Shirts
That cost $ 22.99 each, how many shirts can
Maya afford ?

Answers

Answer:

4 shirts

Step-by-step explanation: 150 - 49.5 = 100.5 / 22.99 = 4.3

Answer:

4shirt thats is correct i research it

how do you factor this equation? 5x^2-36x-81

Answers

ANSWER: THERE ARE TWO SOLUTIONS TO GET THE ANSWER

THE FIRST ONE IS FACTOR BY GROUPING AND THE SECOND SOLUTION IS SOLVING USING THE QUADRATIC FORMULA.

STEP BY STEP SOLUTION:

FACTOR BY GROUPING

(5x +9) (x -9)

WRITE IN STANDARD FORM

5x^2 - 36x -81

SOLVE USING THE QUADRATIC FORMULA

Solve the equation for x by finding a,b, and c of the quadratic then applying the quadratic formula.

X= 9, -9/5

I HOPE IT HELP YOU :)

solve this equation using completing the square method 2x^2 -x -8 =0​

Answers

Answer:

¼ + ¼ √65

Step-by-step explanation:

x= ¼ + ¼ √65

or

¼ + -¼ √65

Help stuck on this question

Answers

Answer:

1.  neither

2. perpendicular

3. neither

4. parallel

Step-by-step explanation:

Remember:   Parallel lines have the same slope and the slope of perpendicular line are negative reciprocals of each other.    Also the slope is the coefficient of the x-term

1.  neither                    

2. perpendicular                            

3. neither

4. parallel

write the equation for the graph below

Answers

Answer:

the funtion is y =-x+1, while - infinite < x <=3 also the y=x-5 while 3<= x < infinite

A 3. On a recent shopping trip, you see a sale advertising 4 pairs of socks and 3 pairs of shoes for $90. Write an equation using to represent the cost of socks and y to represent the cost of shoes.
A)40x + 30y - 90
B)30x + 40y = 90
C)3x + 4y - 90
D)4x + 3y = 90

Answers

The correct answer is D) 4x + 3y = 90.

x = pairs of socks
y = pairs of shoes
90 = total cost of the sum of socks and shoes

Combining these with the given quantities for each variable:

4x + 3y = 90

please help! i'll mark brainliest

Consider the linear function f(x) = 3x-1. Find f(0), f(1), f(2)

Answers

Answer:

f(0) = -1, f(1) = 2, f(2) = 5.

Step-by-step explanation:

f(0) = 3(0) - 1 = -1

f(1) = 3(1) - 1 = 2

f(2) = 3(2) - 1 = 5

The value of the function f(x) = 3x + 1 at x = 0, 1, and 2 will be 1, 4, and 7, respectively.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = 3x + 1

The value of the function at x = 0 will be

f(0) = 3(0) + 1

f(0) = 0 + 1

f(0) = 1

The value of the function at x = 1 will be

f(1) = 3(1) + 1

f(1) = 3 + 1

f(1) = 4

The value of the function at x = 2 will be

f(2) = 3(2) + 1

f(2) = 6 + 1

f(2) = 7

The value of the function f(x) = 3x + 1 at x = 0, 1, and 2 will be 1, 4, and 7, respectively.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

If ABC - DEF, C = 5cm, b = 7cm, a = 8cm, and e = 14cm,

determine the lengths of sides d and f.

Answers

Answer:

Step-by-step explanation:

Chi saccio

Natalie buys organic almonds priced at $77.00 from the grocery store. How much did she pay the cashier, if she received $23.00 in change?

Write the problem __

She paid the cashier $__

Answers

Answer:

$100

Step-by-step explanation:

77 +23= 100.

she gave the cashier a 100 dollars

A pack of 16 markers cost $3.52. How much does each marker cost?

Answers

Answer:

To find one marker

$3.52 / 16

=0.22 cents

Each marker cost 0.22 :

3.52 ÷ 16 = 0.22

What are some advantages and disadvantages of using this repayment plan?

Answers

The disadvantage of using repayment plans are:

You pay much more in interest payments than you would otherwise.

You spend more of your life making loan payments.

You may end up with a higher interest rate than that of your original loan.

The advantage of using repayment plan are :

You can pay a little more each month and pay off the loan sooner.

It is the automatic repayment option for most loans

Please Help With This

Answers

Answer ja the first option . A

plssss help me i cant do this stuff

Answers

Answer:  See explanation:  10, 1, 1, -7

Step-by-step explanation:

I'll assume you are working with Excel.  The Product function multiplies all the cells given in the specified range.  Here, those are cells A2 through A5.  As presnted, this would be [10*5*0*(-7)] = 0, which is the value of cell B2.  If we want cell B2 to be -70, we must change one or more of the numbers in cells A2 to A5.

Initial:     10, 5, 0, -7   B2=0

Change:  10, 1,  1, -7   B2 = -70

Other combinations are possible.

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