The area of a gym is 3,403 m squared. If the width of the gym is 41 m, what is the length of the gym?

Type your numerical answer below (without units). If necessary, round to the nearest whole number.

Answers

Answer 1

Answer:

  83 m

Step-by-step explanation:

The missing dimension can be found by using the area formula. Fill in the given values, and solve for the remaining unknown value.

__

  A = LW . . . . . area of a rectangle of length L and width W

  3403 m² = L(41 m) . . . . with given values filled in

  L = (3403 m²)/(41 m) = 83 m . . . . . . divide by the coefficient of L

The length of the gym is 83 meters.


Related Questions

I will multiply twenty negative numbers​ together, with fifteen positive numbers. If the value of my number is​ x, how does it compare to​ zero? Fill in the blank using​ >, <, ​ or, ​ = to make the statement true.
x enter your response here

Answers

Answer:

x = 27

Step-by-step explanation:

Finding variation constant :

k = y/xk = 18/9k = 2

Substituting in the equation y = kx, where y = 54 :

54 = 2xx = 54/2x = 27

The cost $C$ (in dollars) of making a square window with a side length of $n$ inches is represented by $C=\frac{n^2}{5}+175$
. A window costs $355. What is the side length (in feet) of the window?

Answers

The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

What is a mathematical model?

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.

The model, which represent the cost of window in dollar, is,

C=(n²/5)+175

A window costs $355. Thus, C=355. Put this value in above model as,

355=(n²/5)+175

355-175=(n²/5)

180 x 5=n²

n=√(900)

n=30

Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

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which number line shows -4 , 1,1 and 2 correctly plotted

Answers

Answer:

C

Step-by-step explanation:

The number line in option C contains the points -4, -1, 1 and 2 correctly plotted.

the answer is c :) lol it's the correct one I think

A rectangular banner has a perimeter of 192 inches and a length of 60 inches.

What is the width of the banner? please answer!

Answers

width= area /length


width= 192/60

Width= 3.2 inches

Answer:

36 is the width.

Step-by-step explanation:

A rectangle has four sides.

So the equation should be:

60+60+?+?= 192.

In order to cancel out the two 60s, you subtract it from 192.

So,

?+?=72.

The sides opposite of a rectangle is congruent, thus,

72/2=36.

The width of the rectangular banner is 36, and to check the answer you just plug all the digits in.

60+60+36+36=192.

Hopefully this helped!

Evaluate 1/4 c + 3d when c = 6 and d = 7

Answers

Answer:

SolutioN :

Just plug in the values of c & d in the given expression and calculate :

[tex] \longrightarrow \bf \: \frac{1}{4} \times 6 + 3 \times 7[/tex]

[tex] \longrightarrow \boxed{\bf{ \frac{45}{2} }}[/tex]

Our final answer is 45/2 .

--------------HappY LearninG <3 -------

           [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       Evaluate 1/4c+3d when c=6, and d=7.

        [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

       Replace c with 6, and d with 7:-

     [tex]\Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}[/tex]

[tex]\bigstar[/tex] On simplification,

   [tex]\Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}[/tex]

[tex]\bigstar[/tex] On further simplification,

    [tex]\Large\text{$\displaystyle\frac{6}{4} +21$}[/tex]

[tex]\bigstar[/tex] On further simplification,

     [tex]\Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}[/tex]

[tex]\bigstar[/tex] Adding the numerators,

[tex]\Large\text{$\displaystyle\frac{90}{4}$}[/tex]

[tex]\bigstar[/tex] Finally, Reducing the fraction:-

[tex]\Large\text{$\displaystyle\frac{45}{2}$}[/tex]

[tex]\Uparrow[/tex] [tex]\mathbb{OUR\:SIMPLIFIED\:EXPRESSION}[/tex]

Good luck with your studies.

         [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

Find the ratio of the trig function indicated.

Answers

Answer:

[tex]\huge\boxed{\bf\:Ratio = 4:5}[/tex]

Step-by-step explanation:

We have a right angled triangle given.

At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.

Now, in the given triangle, from the view of ∠θ,

Opposite side of the triangle = 8 Hypotenuse = 10

Then,

[tex]\sin \theta = \mathrm{\frac{opposite \: side}{hypotenuse}}\\\sin\theta = \frac{8}{10}\\\sin\theta = \frac{4}{5}\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

What is the range for the set of data? 6, 7, 10, 12, 12, 13 11 7 6 13

Answers

Answer:

7

Step-by-step explanation:

the range is the difference between the highest and lowest value in a data set.

13 is the highest in the distribution

6 is the lowest in the distribution

13-6=7

Give brainliest, please!

Hope this helps :)

what is the least common denominator in 6/x = 4/x-8 + 1

a) x-8
b) x^2-8
c) 8x
d) x(x-8)

Answers

Answer:

d) x(x-8)

Step-by-step explanation:

Both of the denominators in the problem have to be in the common denominator. It needs the x because of the 6/x and it also needs to have x-8 because of the right side of the equation.

Answer:

d x(x - 8).

Step-by-step explanation:

That would be x * (x - 8)

2. A fish tank is shaped like a rectangular prism. 1 2 square feet. The area of the base of the fish tank is 6 The height of the fish tank is 3 feet. 2 What is the volume, in cubic feet, of the fish tank?​

Answers

Answer:

A. Makes the most sense. If you are using multiplication you'd get 18 1/16

Step-by-step explanation:

PLEASEEEEEE HELPPPPIE WELPIEEE

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer would be A. Hope this Helps! :)

Step-by-step explanation:

Ciara bought four burgers.
She paid with a £20 note and got £6 change.
a
How much did each burger cost?

Answers

£3.50 for each burger

3.50×4= 14 left over is 6 from the 20 pound note

What is the solution to the system of equations?
x-2y = 19
x + 3y = 14
(1.-17) (17.-1)
(-17, 1)
(-1.17)

Answers

Answer:

(17,-1)

Step-by-step explanation:

The solution in the image

Compared to if she had bought no items on sale, by what percent was jan’s total grocery bill discounted? round to two decimal places. a. 15.85% b. 16.50% c. 16.65% d. 17.50%

Answers

The total percentage by which Jan's groceries were discounted is 16.65% approximately. (Option C). See the attached and the explanation below.

How was the total percentage discount arrived at?

Step 1 - Reverse engineer, the figures to get the original prices first.

You can do this by dividing the discounted prices by the result that you get when you remove the decimal version of the discounted percentage from number one. For Chicken that would be 8.47/(1-0.85) = $9.96 (Original price.)

Step 2 - Sum up all the discounted prices as well as the Original prices then find the difference.

This comes to 22.47 - 18.72 = $3.75

Step 3 - Divide the difference by the original price to get the percentage difference

$3.75/$22.47 = 16.68% (Nearest answer is Option C)

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I will mark brainlist to whoever answers first

Answers

Answer:

its D

Step-by-step explanation:

i did the math ez

Answer:

C) ∠V , ∠U , ∠W

Step-by-step explanation:

The smallest angle is opposite to the smallest side.

Sides in ascending order:  WU <  VW < UV

Angles in ascending order:  ∠V < ∠U < ∠W



Write a system of inequalities using the given graph

Answers

For dark line

(0,1)(-1,-4)

Slope

m=-4-1/-1=5

Equation in point slope form

y-1=5xy=5x+1

Put (0,0)

0<1

As line is dark sign is ≤

The inequality

y≤5x+1

For dashed line

(2,0)(0,-2)

Equation in intercept form

x/2-y/2=1x-y=2y=x-2

Put (0,0)

0>-2

Symbol is >

Inequality is

y>x-2

simplify
Please help ASAP ​

Answers

[tex]\dfrac{4v^2}{wu+u^2} \times \dfrac{7w+7u}{4v-8v^2}\\\\\\=\dfrac{4v^2(7w+7u)}{(wu+u^2)(4v-8v^2)}\\\\\\=\dfrac{4v^2 \cdot 7(w+u)}{u(w+u)\cdot 4v(1-2v)}\\\\\\=\dfrac{7v}{u(1-2v)}[/tex]

A store owner puts in an order for product x and product y for a total of 4,000 units. it costs $0.10 per item to ship of product x and $0.04 per item to ship product y. if the total shipping cost is $352, which system of equations can be used to determine how much of product x and product y the store owner bought? startlayout enlarged left-brace 1st row x y = 4,000 2nd row 10 x 4 y = 352 endlayout startlayout enlarged left-brace 1st row 10 x 4 y = 4,000 2nd row x y = 352 endlayout startlayout enlarged left-brace 1st row x y = 4,000 2ndrow 0.1 x 0.04 y = 352 endlayout startlayout enlarged left-brace 1st row 0.1 x 0.04 y = 4,000 2nd row x y = 352 endlayout

Answers

The system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000

0.10x + 0.04y = 352

Simultaneous equation

product xProduct yTotal units of x and y = 4,000 unitsCost of shipping each product x = $0.10Cost of shipping each product y = $0.04Total cost of shipping = $352

The equation:

x + y = 4,000

0.10x + 0.04y = 352

Therefore, the system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000

0.10x + 0.04y = 352

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Answer:

C

Step-by-step explanation:

A circle is centered at (−4, 9) and has a radius of 11.

What is the equation of the circle?

Answers

Answer:

  (x +4)² +(y -9)² = 121

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

__

We are given that (h, k) = (-4, 9) and r = 11. When we put these values into the equation, it becomes ...

  (x -(-4))² +(y -9)² = 11²

We can simplify this a bit to ...

  (x +4)² +(y -9)² = 121

Which is equivalent to cos-1(0)? give your answer in radians.

Answers

If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians

Inverse of trigonometry function

Inverse of a function are the opposite of the function. Given the inverse of cosine function as shown:

[tex]cos^{-1}x[/tex]

If x = 0, hence;

[tex]cos^{-1}{0[/tex]

If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians

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A ring is reduced to £840. This is a saving of 40% of the original price. What was the original price

Answers

The answer is 1400, good luck

I’m literally dy!ng pls help

Answers

Answer:

Option c, G(x) = 12x

Step-by-step explanation:

Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1

In the equation f(x) = mx, the m is acting as the vertical stretch or compression of the identity function.

- f(x) = x by m vertically stretches the graph of f by a factor of m units if

m > 1

- vertically compresses the graph of f by a factor of m units if

0 < m < 1.

This means the larger the absolute value of m, the steeper the slope.

Answer:

Here, the parent should pass through the origin, which is through the coordinate (0,0).

The only function that passes through this (0,0) point and is vertically stretched is only valid is:

y = 12x

The radius of a circle is 8 centimeters. What is the circle's area?

Answers

Area of circle= pi x radius squared

R=8

8 x 8= 64

64 x pi= 201.06 squared cm
So the area of a circle can be found with the equation A=πr2

If the radius is 8 we plug 8 into the equation

A=π8^2

We then square 8 which is 64

We now have
A= π64

We multiply 64 and pie so

A=201.06

Which of the following expressions represents three times the sum of p and 8?
A.
3p + 8
B.
3(p + 8)
C.
3(p - 8)
D.
8(p + 3)

Answers

B. 3(p+8) because the question says (three times the sum of p and 8) which states that the number 3 is being multiplied by the sum of p and 8 which the sum is (p+8)

Let U = {1,2,3,4,5,6,7,8,9,10}
Let A = {2,4,6,8,10}
Let B = {1,3,4,6,9}
Determine (A - B)'

Answers

Answer:

A-B = {2,8,10]

this is the correct answer

i hope my answer was helpful to you

Q2 - Distance and average speed
Use the graph to work out
the following correct to 1 dp:

Answers

Answer:

See below ~

Step-by-step explanation:

Part 1 - Acceleration when t = 3

Acceleration is constant during the time period t = 0 to t = 4a = change in velocity / change in timea = 22 - 11 / 4 - 0a = 11/4a = 2.75 m/s²

Part 2 - Deceleration when t = 12

Deceleration is constant during the time period t = 8 to t = 15Distance covered in the time period = 1/2 x 7 x 22 = 77 mv² - u² = 2aS0 - 484 = 2(77) × aa = -484/154a ≈ -3.14 m/s²

Part 3 - Total Distance Covered

Area under the graph gives distanceFrom t = 0 to t = 4S = 1/2 x 11 x 4 + 11 x 4S = 22 + 44 = 66 m

    2. From t = 4 to t = 8

S = 22 x 4 = 88 m

    3. From t = 8 to t = 15

77m (found in Part 2)

Total distance = 66 + 88 + 77 = 231 m

Part 4 - Average Speed

Avg. Speed (t = 0 to t =4)66/4 = 16.5 m/s

    2. Avg. Speed (t = 4 to t = 8)

88/4 = 22 m/s

    3. Avg. Speed (t = 8 to t = 15)

77/7 = 11 m/s

Average Speed = 16.5 + 22 + 11 / 3

49.5/316.5 m/s

Help with these 10th grade geometry angle problems? I'm desperate and my teacher won't help me. Please also explain how you got your answer. Thank you.

Answers

Answer: 60

Step-by-step explanation:

m<EOD=60°

See

m<COB and m<EOD are opposite anglesHence they are equal in measure.

Hence

m<COB=60°

Solve. x2+5x−10=0 Enter your answers, as exact values, in the boxes
.x = or x =

Answers

Answer:

x=1.531128874 or x=-6.531128874

Step-by-step explanation:

Select the correct answer from each drop-down menu. the expression above can also be written in the form . for this expression, a = , b = , and c = .

Answers

The value of a, b and c from the given expression above are 15, 1 and 4 respectively

Indices expression

Indices are written in form of exponential expression. Given the expression

[tex]\sqrt[4]{15}[/tex]

We are to write the expression in the form

[tex]a^{b/c}[/tex]

This is simplified as shown

[tex]\sqrt[4]{15}= 15^{1/4}[/tex]

Compare both expression

a = 15

b = 1

c = 4

Hence the value of a, b and c from the given expression above are 15, 1 and 4 respectively

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Ivan purchased one bookmark and 7 books for a total of $82.00. The price of the bookmark was $2.20 and each book cost the same amount.

What was the cost of one book in dollars and cents?

Answers

82-2.20=79.80
79.80/7=11.40
One book cost $11.40

Answer:

$11.40

Step-by-step explanation:

Subtract the bookmark from the total amount

82.00 - 2.20 = 79.80

Divide the answer by how many books you purchased

79.80/7

= ($11.40)

Find the area of the figure. (Sides meet at right angles.)

Answers

Answer:

44ft^2

Step-by-step explanation:

Break the shape into 3 rectangles, two 3 by 2's and one 4 by 8. (Get 4 by subtracting 3 from 7 for the left and right most side)

3 x 2 = 6 ft^2

since there's two rectangles you end up 6 + 6 so you get 12 ft^2

then 4 x 8 = 32 ft^2

add 32 and 12, get 44 ft^2

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