What is the maximum area of a rectangle with a perimeter of 60 km?

Given:

Consider the below figure attached with this question.

To find:

The surface area of this solid prism.

Solution:

The surface area of this solid prism is

[tex]A=P\times h+2B[/tex]

Where, P is the perimeter of the base, B is the area of the base and h is the height of the prism.

Perimeter of the base is:

[tex]P=6+8+10[/tex]

[tex]P=24[/tex]

Area of the base is:

[tex]B=\dfrac{1}{2}\times base\times height[/tex]

[tex]B=\dfrac{1}{2}\times 8\times 6[/tex]

[tex]B=24[/tex]

Putting [tex]P=24[/tex] and [tex]B=24[/tex] in the formula for area, we get

[tex]A=(24)\times 9+2(24)[/tex]

[tex]A=216+48[/tex]

[tex]A=264[/tex]

Therefore, the surface area of the given prism is 264 m².

Answer:

the expression is equal to 31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Substitute x and y into the equation to get..

(3×7)-(-5×2)

21- -10

31

Hope this helps :)

Answer:

The area of this figure is 22 meters squared

Step-by-step explanation:

Two shapes exist on this figure: a rectangle and a triangle. We must first find the area of the rectangle and add that area to the area of the triangle. So first, let's solve the rectangle.

As the area of a rectangle is length multiplied by width, we have 8 * 1 = area, or 8 meters squared. Now we save the value of 8 to add to the area of the triangle. So let's now figure out the area of the triangle.

As the area of a triangle is A = (HB)/(2), or that triangles height multiplied by its base, and dividing that whole number by 2, we can substitute numbers into this equation. This means we take 3.5, the height of the triangle, and multiply that number by 8, the base of the triangle, to get a value of 28. We then divide 28 by 2 to satisfy the equation A = (HB)/(2), and we get the value of 14.

Because of this, we add 8, the area of the rectangle, and 14, the value of the triangle to get a total value of 22. Now let's not forget to add meters squared as the unit of measurement as stated in the question.

This means that the total area of this figure is 22 meters squared.

Answer:

qqqqqqqqqq

Step-by-step explanation:

Answer:

In this question one has to look forward to the information's already given. Based on those given information's the answer to the question can be easily determined.

Principal amount = $4000

Time for which money is borrowed = 5 years

Rate of interest = 6%

Then

Amount of Interest = Principal * Rate * Time

                              = 4000 * 6% * 5

                              = 4000 * 6/100 * 5

                              = 40 * 30

                              = 1200 dollars

So the amount of interest that needs to be given is 1200 dollars. I hope the naswer and the procedure is clear enough for you to understand.

Answer:

142°

Step-by-step explanation:

Answer:

height:6

if the base is a square that means all the side lengths are equivalent so it would be 8 for side lengths, and the volume is 128. plug it in with the formula to get 6

The height of a pyramid is 8cm

Supposing that:

The length of the sides of the square base the pyramid has = b units

The height of the considered square based pyramid = h units,

Then, its volume is given by: [tex]V = \dfrac{1}{3} \times b^2 \times h \: \rm unit^3[/tex]

Given;

The volume of pyramid= 128cm3

Length of side of square base= 8cm

Now,

128=1/3 x 8x8xh

128= 64/3 xh

h= 128x3/64

h=8

Therefore, the height with the volume 128cm3 will be 8cm

Learn more about volume of pyramid here:

https://brainly.com/question/16261758

#SPJ2

Answer:

The volume of this figure is approximately 418.88 centimeters squared!

Step-by-step explanation:

The volume for a right circular cone is V = (π)(r^2)(h/3)

Substituting known values is as follows:

V = (π)(r^2)(h/3)

V = (π)(4^2)(25/3)

V = (π)(16)(25/3)

V ≈ 418.88 cm^3

V = 1/3 * pi r^2 h

V = 1/3 * pi * 5/2^2 * 6

V = 1/3 * pi * 25/4 *6

V = 2 * pi *25/4

V = 25/2 pi

Answer: (12.5*pi)in^3 or 39.27 in^3

Answer:

3:4

Step-by-step explanation:

Three students ate apples, 4 students did not

Answer:

the answer is 18

Step-by-step explanation:

216/12=18

Answer:

18 miles per gallon

Step-by-step explanation:

216/12= 18

Answer:

6h/top left

Step-by-step explanation:

count the number of hs. In this case there are 6 so it is 6h

Step-by-step explanation:

h+h+h+h+h+h is equivalent to 6h

Answer:

75

Step-by-step explanation:

Step 1

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange.

The ratio of all Jerseys to Jerseys that are Orange =

512 : 64

8 : 1

Step 2

If he ordered 600 jerseys this year, how many of them will be Orange if the ratio of orange jerseys to all the jerseys remain the same?

Since we are maintaining the ratio in step 1

Let the number of orange jerseys = x

600 : x = 8 : 1

Hence

600/x = 8/1

Cross Multiply

8 × x = 600 × 1

8x = 600

x = 600/8

x = 75

Therefore, this year, the number of orange jerseys = 75

Answer:

It's being divided by 5.

Step-by-step explanation:

In this question, the variable being used in the equation is being divided by 5. This is represented by the / symbol in the equation which is the symbol for division. If we multiply both sides by 5 we can isolate the variable M and get its value like so...

M/5 = -40   ... multiply both sides by 5

M = -200

Therefore in this scenario, the value of M would be -200

Answer:

48

Step-by-step explanation:

y=6x

y=6(8)=48

Answer:

Step-by-step explanation:

y=6(8)

6*8=48

x=48

Answer:

37 minutes.

Step-by-step explanation:

because if you add 23 minutes it's 6:00 then add 14+23 which is 37

Answer:

zero

Step-by-step explanation:

Answer:

0 is a value of a for 7/a to make irrational number.

Answer:

Y=-4x+11

Step-by-step explanation:

So first you gotta realize that slope intercept from is

y=mx+b

So you have the equation of

16x+4y=44 as the initial response

Now you just have to isolate it into the from of y=mx+b

SO first subtract 16x on both sides to isolate the 4y since its the initial response as y=mx+b

Then when that is done you should have the answer of

4y= 44-16x

Now You have to isolate the “y”.

By dividing 4 on both sides to get the new equation which will be

y= 11-4x

You can leave it like that or just move around the (x) to make it more plausible as the answer of y=mx+b

y= -4x+11

However you would put it,  that is the answer

y= -4x+11

And

y= 11-4x

Answer:

hi:}

Step-by-step explanation:

15

Answer:

640

Step-by-step explanation:

2 pints in a quart

4 quarts in a gallon

8 pints in a gallon

8x80=640

640

Answer:

A

Step-by-step explanation:

The denominator is obviously 8 because there are 8 posibilities. The nuemerator is 1.

If you flip it once, you have a 1/2 chance of flipping tails. twice is 1/4 chance. three times is a 1/8 chance

pls brainliest!

Answer:

A. 1/8th

Step-by-step explanation:

The chances u land the coin on one side is 1/2

so the equation would be 1/2^3 or

1/2 x 1/2 x 1/2 which leaves you with 1/8.

Answer:

x=6

Step-by-step explanation:

-12x-14=-86

-12x+12=+14

-12x=-72

-12/-12x=-72/-12

x=6

Answer:

n(k + m) = number of fruits

Step-by-step explanation:

n(k + m)

Remember that the fruits combined would be k + m.

Then to find the total, you would need to multiply by the number of plates, which is n. Therefore, you would get n(k+m) to showcase the total amount of fruits on the table.

x means an axis of symmetry

Answer:

the answer should be 'd'

Answer:

175cm²

The answer is simply the length multiplied by the perpendicular height. 5cm × 35cm = 175cm²

Answer:

S1) False. 2³ is 2 × 2 × 2 which is 8, not 6.

S2) False. ( 2x / 3y ^ (2) ) ^ (3) =

( (2x) ^ (3) / ( (3y) ^ (2) ) ^ (3) ) = (2)³ × (x)³ / (3)³ × (y²)³ = 8 × x³ / 27 × y⁶ = 8x³ / 27y⁶.

i.e (a^b)^c = a^(b × c).

S3) True.

S4) True.

S5) False. x^(-3) = 1 / x^(3) ≠ 1 / 3x