Find the area of the figure below.
16 in
19 in
30 in
19.4 in

Answer:

dimensions are 51x91

Step-by-step explanation:

Assuming that the gym is rectangular in shape, then...

l*w=4641

and 2l+2w=284

We have two variables and two equations so to solve this we plug one equation into another.

Solve for one variable:

l*w=4641

w=4641/l

Plug into the other equation...

2l+2(4641/l)=284

Solve

l*(2l+9282/l)=284

2l^2+9282=284l

2l^2-284l+9282=0

Factor the trinomial:

2(l−51)(l−91)=0

l−51=0 or l−91=0(Set factors equal to 0)

l=51 or l=91

now, lets plug it into one of the equations to find w

51*w=4641

w=91, l=51

or...

91*w=4641

w=51, l=91

Answer:

91 ft × 51 ft

Step-by-step explanation:

while the other answer is basically correct, it makes a to at the beginning of the calculation (but the continues correctly).

and it assumes you can find the right factoring of the expression.

so, I will show you here how to generally solve this, even if you cannot find the right factorization :

l×w = 4,641 ft²

w = 4641/l

2l + 2w = 284

2l + 2(4641/l) = 284

2l + 9282/l = 284

2l² + 9282 = 284l

2l² - 284l + 9282 = 0

to make things easier let's divide everything by 2

l² - 142l + 4641 = 0

the general solution to a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = l

a = 1

b = -142

c = 4641

l = (142 ± sqrt((-142)² - 4×1×4641))/(2×1) =

= (142 ± sqrt(20,164 - 18,564))/2 =

= (142 ± sqrt(1600))/2 = (142 ± 40)/2 = 71 ± 20

l1 = 71 + 20 = 91

l2 = 71 - 20 = 51

w1 = 4641/91 = 51

w2 = 4641/51 = 91

so, they are interchangeable (it does not matter which we call length and which width).

the dimensions are 91 ft × 51 ft

Broker q’s commission with a charge of $32.50 will be $11.50 less than broker p’s commission of 4.4%

A bond is a fixed-income instrument that represents a loan made by an investor to a borrower.

Par value of bond = $1,000

Commission on this by broker p= 4.4% = 1000*(4.4)/100= $44

So, the total price spent to purchase this bond = $1044

Par value of bond = $1,000

Commission on this by broker q= $32.50

So, the total price spent to purchase this bond =1000+32.50 = $1032.50

Difference between both deals = 1044-1032.50 = $11.50

Therefore, broker q’s commission will be $11.50 less than broker p’s.

To get more about bonds visit:

https://brainly.com/question/25965295

Answer:

C. Broker Q's commission will be $13.56 less the Broker P's.

Step-by-step explanation:

I just took the test and got it right.

Answer:

3000

because you need to dived it

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

15/56

Step-by-step explanation:

multiply the top fractions by making the equation the following

3x5

-------

8x7

_________________________

3x5 =15

8x7= 56

hope this helps :)

The solution to the product of fractions is 13/56

From the question, we have the following parameters that can be used in our computation:

3/8 * 5/7

Evaluate the product of 3 and 5

So, we have

3/8 * 5/7 = 13/8 * 1/7

Evaluate the product of 8 and 7

So, we have

3/8 * 5/7 = 13/56

Hence, the solution is 13/56

Read more about fraction at

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#SPJ6

Answer:

Not entirely sure but im sure its no. 2

Step-by-step explanation:

Answer:

I think it's 2

Step-by-step explanation:

perimeter = turn of the figure

P = 6 + 3 + 4 + 4 + 3 + 6 + 3 + 4 + 3 = 36

the triangle has 2 équal sides => isosceles

and 1 angle is 60° so the triangle is equilateral

Answer: 2.2 and/or 2.20 the zero doesn't matter

Step-by-step explanation:

4 goes into 8, 2 times bring the 2 up (4x2=8)

8-8=0

Bring down the next 8

4 goes into 8, 2 times bring the 2 up (4x2=8)

8-8=0

4 goes into 0, 0 times

0-0=0 bring up the 0 or don't

you should get 2.2 and/or 2.20

Answer:

Use the equation y=mx+b

Step-by-step explanation:

So you know how to get the slop, which is awesome

Now to get y all you have to do is use the equation:

y=mx+b

m being slop

b being y- intercept in this case being 2

so you have y=-2x+2

all you have to do is insert different x values and solve the equation for y and see if they match up together in any of the tables

Answer:

5n=c

Step-by-step explanation:

the equation 5n=c can represent the total cost Hong would have paid for the notebooks because given that each notebook costs $5, you would multiply 5 by the number of notebooks (n) that Hong would be purchasing, which would bring you to the cost (c) of the notebooks all together

sorry for the delay. hope this helps

Answer:  = 2(7 + 3) ^2= 2 * 10^2= 200

Answer: -5

Step-by-step explanation:

Opposite sides of a parallelogram are parallel, and thus have equivalent slopes.

Answer:

I need to know the dimensions to solve

Answer:

75 ft³ for K12

Answer:

This question is asking for you to determine if the tables represent linear functions, functions in y=mx+b form, and to find the equation for the line.

If something is a linear function, each of the input values will have it's own corresponding y value, therefore c cannot be linear, as -1 and 1 both have 10 as the output.

I hope this helps, but if you need more clarification, please tell me in the comments!

Answer:

624.396

Step-by-step explanation:

I did the math myself XD

The height of the pole from the ground is 19.60 feet round to the nearest hundredth.

To find the lenght of longest side in right angle triangle, the Pythagoras theorem is used.

According to this theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.

A right triangle with side length 10 feet, hypotenuse of 22 feet, and side of h.  Thus, the length of side of h by the Pythagoras theorem can be given as,

[tex]h^2=22^2-10^2\\h=\sqrt{484-100}\\h=\sqrt{384}\\h=19.60\rm\; ft[/tex]

Thus, the height of the pole from the ground is 19.60 feet round to the nearest hundredth.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

Answer: 0.27

Population density of the species in water:

Population density of a species in the water is given by the expression,

       Density =Given in the question,

Number of goldfish in the tank = 12

Volume of the tank = 45 cubic feet

Substitute these values in the expression,

Density =

            = 0.267

            ≈ 0.27 goldfish per cubic feet

      Therefore, density of the tank will be 0.27 goldfish per cubic feet.

Answer:

20 designs

Step-by-step explanation:

Some websites have limited data and bytes to hold, so she might have to have one theme, 5 fonts, and 2 background colors to look nice. 1 × 5 × 2 = 10. Add all the other background colors and fonts and themes and divide them by 10.

Therefore, she can create about 20 designs

Answer:

Step-by-step explanation:

Monday he is left with 20,

Tuesday he will start with 20 and end with 10

Wednesday he will start with 10 and end with 5

Thursday he will Start with 5 and end with 2.5

Friday Start with 2.5

which is >3

Answer:

D) Friday

Hope it helps...

Answer:

The answer is -8

-4 l5 +(-3)l

-4 (2) = -8

Answer: Correct answer is  -8

Step-by-step explanation:

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

Edmentum Answer

Answer:

y= |x-3|+ |x+2|-|x-5|; x<-2

y=-2

Answer:

The circumference (C) of a circle is found by the equation C = 2*[tex]\pi[/tex]*radius

There is a second relationship between [tex]\pi[/tex] and circles.  That of the area (A) of the circle which is found by the formula A = [tex]\pi*radius^{2}[/tex]

Step-by-step explanation:

Answer:

g(x) = (x - 1)^2 + 2.

Step-by-step explanation:

1 unit to the right x---> (x - 1)

2 units up ------  f(x) moves up --->  + 2

answer is (x - 1)^2 + 2

Answer:

$279

Step-by-step explanation:

10% off $310 is $31

310-31 is 279

Answer: the sale price of the suit is $279 or $31 dollars off

Step-by-step explanation:

$310 x 0.10= $31

$310 - $31= $279

Answer:

5(t+6). I think this may helps you

Answer:

First Blank: “controlled” Second Blank: "a Different" Third Blank: "the same" Last Blank: "Height of the ramp"

Step-by-step explanation:

The red figure is the original and the green the dilation. We know this because the dilated points are marked with '.

Therefore, we can see that the dilation is a reduction of the original figure. The figure got smaller in size after the dilation.

To find the scale factor, we'll need to look at a few of the points before and after the dilation.

A = (-4, 4)

A' = (-2, 2)

C = (0, 4)

C' = (0, 2)

---The scale factor will be the same on all the points, which is why I have selected only 2 sets of points to look at.

Now, we can figure out the scale factor by thinking about how -4 got to -2, how 4 got to 2. In this case, it is simply dividing by 2. The scale factor must be in multiplication, so we cannot use division in reporting the scale factor, it must be a fraction.

2 / 4 = 1 / 2

The scale factor, therefore, is 1/2.

Hope this helps!

Answer:

a) A reduction.

b) 0.5 or 1/2

Step-by-step explanation:

a) The new points are indicated by the ' next to the letters. By observing the graph, we can see that new points have lessened, and therefore shrank the dialtion, so it is a reduction.

b) On each point, it is reducted by 0.5.

Point A went down from 4 to 2, which is half of 4.

Point B went down from -2 to -1, which is half of -2.

Point C went down from 4 to 2, which is half of 4.

Point D went down from 8 to 4, which is half of 8.

hope this helps!