A box without a top is to be made from a rectangular piece of cardboard, with dimensions 4 in. by 8 in., by cutting out square corners with side length x and folding up the sides.
Write an equation for the volume V of the box in terms of x.
Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the surface area of the cylinder with height 2 yd and radius 7 yd?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}[/tex]

[tex]\textsf{Formula for Surface Area (SA) of a Cylinder:-}[/tex]

[tex]\dashrightarrow\bigstar{\boxed{\bf{A=2\pi rh+2\pi r^2}}}\dashleftarrow[/tex]

Where

[tex]\bold{A=Area}[/tex]

[tex]\bf{\pi =pi (3.14...)}[/tex]

[tex]\bold{r=radius}[/tex]

[tex]\bold{h=height}[/tex]

Given:-

[tex]\bold{r=7}[/tex]

[tex]\bold{h=2}[/tex]

Solving for S.A.:-

[tex]\bold{SA=2\pi (7)(2)+2\pi (7)^2}[/tex]

[tex]\bold{SA=2\pi (14)+2\pi (49)}[/tex]

On further simplification,

[tex]\bold{SA=28\pi +98\pi }[/tex]

[tex]\bold{SA=126\pi }[/tex]

And finally,

[tex]\dashrightarrow\bigstar\boxed{\bold{SA=395.841\:yd}}\dashleftarrow[/tex]

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Answer:

954.814

Step-by-step explanation:

Answer:

1. 2000

2. 1600

3. 24%

4. business marketing

5. 6000

Anwser:

Area = 20 units²

Step-by-step explanation:

hope this helps

Answer:

20 square units

Correct Answer 100%. Pls, give me brainliest. Thank You.

Answer:

1 and a half hours

Step-by-step explanation:

9 minutes to and from school : 9*2 =18
18 minutes for 5 days: 18*5=90
minutes to hours : (divide by 60 to find hours) 90/60= 1.5

Good luck!

Answer:

Mark spent a total of 90 minutes traveling between home and school during the duration of 5 days

Step-by-step explanation:

9 x 2 = 18

18 x 5 = 90

Answer:

9 buses will be needed but 9 bus will be empty there will be very small amount of fans in the 9th bus.

y - -2x - 6 (1)
y = x+15 (2)

From (2) we get x = y-15
We put that in (1) and we get -2(y-15)-6 = y
-2y+30-6 = y
-2y+24=y
-2y+24-y=0
-3y+24 = 0 ==> -3y = -24 ==> y = 8

We put that value in (2) and we get x = 8-15 = -7

Now in order to verify this, we replace the variables and see if (1) = (2)

y = -2x - 6 ==> (-2 * -7) - 6 = 14-6 = 8 (1')
y = x + 15 = -7 + 15 = 8 (2')

(1') = (2') ==> the solution is x = -7 and y = 8

Answer:

x=−2y=2

Step-by-step explanation:

Take the value of x from the first equation:x=2−2y (1)and substitute for x into the second:y=2(2−2y)+6

solve for y ;y=4−4y+6y=105=2

Substitute back into

(1) and find :x=2−4=−2

The valley in California has an elevation of feet "below sea level".
Below sea level means below 0 feet, so it'd have -5 feet

The one in Arizona would be lower than it, so the elevation will definitely be -9 feet

Answer:

x=48

y=96

z=36

Step-by-step explanation:

6.4n+3.2n+2.4n=180

n=15

x=3.2(15)=48

y=6.4(15)=96

z=2.4(15)=36

Answer:

1310

Step-by-step explanation:

Because, you have to add the biggest number which is 380, to the second to biggest number which is 360, which will both get you to 740. Then you have to add the 740 to 300 which both gives you 1040 and then last but not least you have to add, 1040 and 270 together which will give you 1310 and that's your answer. :)

Answer:

around 58 students drive to school

Step-by-step explanation:

8 + 7 + 3 + 42 = 60

7 students take the car to school

7/60 = 0.11666...

0.11666... x 500 = 58.3333

hope this helps

Answer:

around 58

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

3x+1/4y^2

just fill in the blanks

3(3)+1/4(4)^2

Answer:

10ft squared

Step-by-step explanation:

4x2 is 8. Plus half of 4. So 8+2=10. You're welcome (:

Answer:

10 ft^2

Step-by-step explanation:

4x2.5=

10 feet^2

15 pounds = $36

1 pound = $36/15 = $2.4

24 pounds = $2.4 * 24 = $57.6

Answer: $57.6

Step-by-step explanation: hope this helps

Answer:

2nd page 2nd question

Step-by-step explanation:

That they are both straight lines? Sorry again if I got it wrong ~Bread

Answer:

[tex]x < 4[/tex]

Step-by-step explanation:

In order to isolate the variable in this linear inequality, we need to get rid of the coefficient that multiplies it.

This can be accomplished if both sides are divided by 3.

3x /3 = 0x

12 /3 = 4

So the asnwer is x = 4 (don't forget the less than sign)

ANSWER = x < 4

Answer: ~801.45

Step-by-step explanation: A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=16·15+10·15+17·15+1

2·﹣164+2·(16·10)2+2·(16·17)2﹣104+2·(10·17)2﹣174≈801.45367

The results of the 100 rolls with the number cube are such that the probability of rolling a 2 is 32%.

This refers to the chances that the number cube rolls a 2 when thrown.

This can be found by the formula:

= Number of times 2 was rolled / Total number of times number cube was rolled

Solving gives:
= 32 / 100

= 32%

Find out more on probability at https://brainly.com/question/25856001.

#SPJ1

Answer:

27 units^2

Step-by-step explanation:

The total surface area is calculated by adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object. This is done using different area formulas and measured in square units. Volume is the amount of space that a three dimensional object takes up.

So you add, next time you get another question like this

Hope this helps!

Answer: A

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2 1-yard long pieces of pipe would basically equal to 2 yards. so divide 2 by 1/4 which equals 8... so 8 pieces of 1/4-yard pieces of pipe would fit into 2 1-yard pieces of pipe

hope u understand :))

Answer:

1/3

Step-by-step explanation:

I'm not sure but you get 4/12 you simplify and get 2/6 and you simplify again and get 1/3

Answer:

The answer is 1/4

Step-by-step explanation:

i did the quiz

Answer:

A - 8x=4

B - 6x+29

Step-by-step explanation:

I hope this helps

Answer:

First box -3, 1

Second box -3, 7

Step-by-step explanation:

If they start at 4 on the y-axis, they can go down to 1 or go up to 7. Then we just add the -3 to the x axis.

Answer:

(-3,7) and (-3,1)

Step-by-step explanation:

You would move the point up or down one (this is because you are moving on the y-axis) which would only change y leaving x alone as -3. This means you would either subtract 3 or add 3 to 4 which gives you 1 or 7.

Answer:

Volume of triangular prism = 126

Volume of composite figure = 462

Step-by-step explanation:

The volume of a triangular prism is base area x height

Here the base of the triangular prism has sides 7(the vertical side) and 6(the horizontal side). The are of this base = area of the triangle = 1/2 * 7 * 6 = 21

(Area of a triangle is 1/2 x b x h where b is base and h is height)

The volume of the prism is simply this area x width = 21 x 6 = 126

To get the composite figure volume add the volume of the rectangular prism so we get 126 + 336 = 462

Answer:

126 cm³

Step-by-step explanation:

The volume of the triangular prism can be calculated using the formula below:

Volume of prism= base area ×height

Area of base

= area of triangle

= ½ ×base ×height

= ½(6)(7)

= 21 cm²

The height of the triangle is the same as the length of the 7cm side of the rectangle.

In this figure, the height of the prism is 6 cm.

Volume of triangular prism

= 21(6)

= 126 cm³

_______

Area of composite figure

= area of rectangular prism +area of triangular prism

= 336 +126

= 462 cm³