8. The area of a square weightlifting platform is 16 m2. a) Sketch the platform. What are its dimensions? b) What is the perimeter of the platform?

Answers

Answer 1

Answer:

Step-by-step explanation:

Area of a square platform = Length × Length

A = L² (note that all the sides of a square are equal)

Given

A = 16m²

L² = 16

L = √16

L = 4m

Hence the dimension of the square is 4m by 4m (use the dimension when sketching the diagram. Al the sides is the diagram must be the same i.e 4m)

Perimeter of the square = 4L

P = 4(4)

P = 16m

Hence the perimeter of the platform is 16m


Related Questions

A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown on the table.

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is 35%

The length of the window is 2m longer than its width and the area is 32m^

Answers

Answer:

X¹= -2 + 2√33

X²= -2 - 2√33

Step-by-step explanation:

X × (X+2) = 32

X² + 2X = 32

X² + 2X - 32= 0

Δ=132

X= -2 ± 2√33

X¹= -2 + 2√33

X²= -2 - 2√33

(You can change the 2√33 to 11,5 if you want to)

Over what interval is the graph of y=−2 +|x− 2| increasing?
a. (2, ∞)

b. (−2, ∞)

c. (−∞, −2)

d. (−∞, 2)

Answers

Answer:

(2, ∞)

Step-by-step explanation:

An absolute value graph at (0, 0) is an up facing V shape graph. After a few transformation, according to the equation y = −2 + |x− 2|, we have our vertex at (0, - 2). It remains at up facing V graph.

x - h,

x - 2,

x - (+ 2),

h = 2

Therefore our slope is 2, with out vertex at (0, - 2). If we plot our graph, you can see that on the interval (2, ∞) the graph increases...

Find the common ratio of the geometric sequence 17,-51,153,...

Answers

Answer:

The answer is - 3

Step-by-step explanation:

To find the common ratio ( r) of a given sequence , divide the previous term by the next term.

That's

[tex]r = - \frac{51}{17} = - 3 \: \: \\ or \\ r = - \frac{153}{51} = - 3[/tex]

Since the common ratio is the same for any of the terms chosen , the common ratio is - 3

Hope this helps you

Need to evaluate 256 and fraction 1/4

Answers

Answer:

256fraction=1/4

256÷4=64

64 answer this fraction

Paper clips are sold in small boxes and in large boxes.
There is a total of 1115 paper clips in 4 small boxes and 5 large boxes.
There is a total of 530 paper clips in 3 small boxes and 2 large boxes.
Work out the number of paper clips in each small box and in each large box.

Answers

Answer:

Small boxes contain 60 paperclips and large boxes contain 175 paperclips.

Step-by-step explanation:

1. Set up two simultaneous equations:

Use s for small boxes and l for large boxes. (You could use any letters)

4s + 5l= 1115

3s + 2l= 530

2. Number the equations:

4s + 5l= 1115 (1)

3s + 2l= 530 (2)

3. Multiply both equations to get the same number of ls (for different questions the letters might be different):

(1) x 2:

8s + 10l= 2230 (3)

(2) x 5:

15s + 10l= 2650 (4)

4. Subtract one from the other to get rid of the ls:

(4) - (3)

  8s + 10l= 2230

- 15s + 10l= 2650

   7s        =420

5. Solve for s:

s= 420/7= 60

6. Substitute the s value into one of the original equations to find l:

4 x 60 + 5l= 1115

240 + 5l= 1115

5l= 1115 - 240

5l= 875

l= 875/5= 175

The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.

Answers

Answer:

(2w-3)2+2w=66

4w-6+2w=66

6w=66+6

6w=72

w=12

l=24-3

l=21

What does "K" stand for for proportinial relationships

Answers

Answer:

y/x = k

Step-by-step explanation:

K is the constant of proportionality.

Simplify the expression.
(5+i)(2-7i)

Answers

Answer:

17-33i

Step-by-step explanation:

Multiply using the foil method than combined the real and imaginary parts of the expression

Graph f(x) =2/3x-3
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

f(x)=2/3.3=1/6=0,2

f(x)=0,2

Justify each step using property of equality. -6(-p+8) = -6p + 12

Answers

Answer:     -36

Step-by-step explanation: distribute -6 through the parentheses 6p-48-6p+12 since two opposites add up tp zero remove them from the expression -48+12

                          ANSWER -36

a parallelogram has a base of 9 units and an area of 12 square units. what is the corresponding height for the base

Answers

1 What is one into one? 1

Maggie's brother is 5 years younger than twice her age. The sum of their ages is 22.
How old is Maggie?

Answers

Maggie is 9 years old

Answer:

9 years old

Step-by-step explanation:

Let maggie's age be m,

and let maggie's brother's age be b

b = 2m - 5,

m + b = 22

Substitute "2m - 5" for b in the second equation (substitution)

m + (2m - 5) = 22 -> Remove parenthesis

m + 2m - 5 = 22 -> Combine like terms

3m = 22 + 5 = 27 -> Divide either side by 3

m = 27/3 = 9

Solution: Maggie is 9 years old

A pyramid has a square base with an area of 169 ft.2. What is the perimeter of the base of the pyramid?

Answers

Answer:338

Step-by-step explanation:

169/2 = 84.5 (base is 84.5) 84.5 * 4 (sides) = 338

Answer:

:)

Step-by-step explanation:

52

Sq rt(169) - 13

13 is the side length

13*4=52

y=2/5xt 10 the rate of change and y intercept

Answers

Answer:

Below

Step-by-step explanation:

Rate of change (aka the slope) = 2/5

Y Intercept = 10

I need help on this one please

Answers

Answer:

it is D

Step-by-step explanation:

just reflect by y=-1 its easy

(5,9), (5-3)
what is the slope?

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When you want to find out what the slope is, you have to remember what the formula is first....

[tex]m=\frac{y}{x} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

so in this case -3 would be the [tex]y_{2}[/tex] because it's the y in the ordered pair and it's the second one. Then one of the 5's would be [tex]x_{2}[/tex] and 9 would be [tex]y_{1}[/tex] and then the other 5 would be [tex]x_{1}[/tex].

now if we plug it in

[tex]\frac{-3-9}{5-5} =\frac{-12}{0}[/tex]

now we can tell that we can't divide by zero so the slope would be unidentified and that's it.

PLEASE SOME1 ANSWER FAST PLS!

Answers

Answer:

30.30

Step-by-step explanation:

solve on the calculator

Estimate . Then find sum 25,211 plus 9,517

Answers

Answer: 34,728

Step-by-step explanation:

All your going to want to do here is add both numbers, and you will get your answer of 34,728. Hope this helps!

Bob is trying to see if his shadow is longer than Kevin’s. Kevin is 3 feet tall, and Bob is 2½ feet tall. Kevin’s shadow is 5 feet long. Help Bob find the length of his shadow

Answers

Given parameters:

Height of Kevin  = 3ft

Height of Bob = 2.5ft

Hieght of Kevin's shadow = 5ft

Unknown:

Length of Bob's shadow = ?

We can simply set up simple ratio to solve this problem.

 The ratio of Kevin's height to Bob's height is 3 : 2.5

  The ratio of their shadow should also be 5: Bob's shadow height

Equating the two of them should give a fairly constant ratio;

         [tex]\frac{3}{2.5} = \frac{5}{Bob}[/tex]  

            3Bob  = 5 x 2.5

 Bob's shadow height  = [tex]\frac{5 x 2.5}{3}[/tex]   = 4.2ft

The height of Bob's shadow is  4.2ft.

Justin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $3.25 and each burrito for $5.75. Justin must sell a minimum of $520 worth of tacos and burritos each day. If 39 tacos were sold, determine the maximum number of burritos that the Justin could sell that would meet the requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

788

Step-by-step explanation:

Which problem can be solved using this equation .15m + 35=.25. + 20

Answers

I think the number 1 because it can be mutilplief by any and give u the same answer

bc = ad

solve for a

Answers

Answer:

[tex]\huge\boxed{a=\frac{bc}{d}}[/tex]

Step-by-step explanation:

In order to find the value of a when we have the equation [tex]bc=ad[/tex], our goal is to isolate a on one side.

The key question here is: what's stopping a from being alone on one side? That would be it being multiplied by [tex]d[/tex]. If we were able to remove the d, we would have a by itself.

Since we are multiplying a and d, we can get rid of the d by dividing both sides by d.

We have to divide both sides of the equation by the same value in order to keep it equal.

[tex]bc \div d = ad \div d\\\\\frac{bc}{d}=a\\\\a = \frac{bc}{d}[/tex]

Hope this helped!

Marco spent $85.43 on a new pair of
shoes, $21 on a t-shirt, and $7.84 on a
pair of socks. If he gave the sales clerk
$120, how much change should he
receive?

Answers

Answer:

5.73

Step-by-step explanation:

Answer:

He should have $5.73 as change

Step-by-step explanation:

First add 85.43 with 21 and 7.84 and then do 120 - 114.27.

What are the two values on a number line that are a
distance of 5 from 0?

Answers

Answer:

the two values that are a distance of 5 from 0 are -5 and 5.

Step-by-step explanation:

if you look at a number line, you will see that the number 0 is in the middle. if you count 5 from each side, it's -5 and 5. any other number would have a greater distance than 5 from 0. hope this helps.

Find the linear function with the following properties.

f(−4)=6
Slope of f=−6

Answers

Given:

f(−4)=6

Slope of f=−6

To find:

The linear function with the given properties.

Solution:

We have,

f(−4)=6

It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).

Slope of f=−6

The point slope form of a linear function is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope of the linear function.

On substituting the values, we get

[tex]y-6=(-6)(x-(-4))[/tex]

[tex]y-6=-6(x+4)[/tex]

[tex]y-6=-6x-24[/tex]

Add 6 on both sides.

[tex]y-6+6=-6x-24+6[/tex]

[tex]y=-6x-18[/tex]

The function form of this linear equation is

[tex]f(x)=-6x-18[/tex]

Therefore, the required function is [tex]f(x)=-6x-18[/tex].

one more than a number

Answers

Answer:

x+1

Step-by-step explanation:


Reason abstractly. Are all horizontal lines parallel? Use slope
explain how you know.

Answers

Answer:

All horizontal lines are NOT parallel.

Step-by-step explanation:

We learned that lines go on forever.  

If one line is slightly slanted, and the other line is completely straight,  these lines are not parallel, as they will meet at some point.

Hope this helped :)

Which of the following examples has a unit rate of 12 yards per second? Select all that apply.

A) 48 yards in 8 seconds
B) 36 yards in 3 seconds
C) 144 yards in 12 seconds
D) 36 yards in 6 seconds
E) 60 yards in 5 seconds

Answers

B C and E have a unit rate of 12 yards or second

What is the missing number in each circle?
b
2:3:5 = ○ : 9 : ○

Answers

Answer:

7 and. 10 uvbuv7cycyyccu xxx yxr x rxytscc6vucc ttyl j

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