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Radda [10]
3 years ago
11

A box is to be made out of a 8 cm by 20 cm piece of cardboard. Squares of side length x cm will be cut out of each corner, and t

hen the ends and sides will be folded up to form a box with an open top.
(a) Express the volume V of the box as a function of x.

V=

(b) Give the domain of V in interval notation. (Use the fact that length and volume must be positive.)

(c) Find the length L, width W, and height H of the resulting box that maximizes the volume. (Assume that W?L).

L=

W=

H=

(d) The maximum volume of the box is
Mathematics
1 answer:
abruzzese [7]3 years ago
7 0

Answer:

hi! im sorry if this is wrong, im gonna try my hardest.

V= 160

L= 240

W=34

sry this is prob wrong just wanted to help ;(

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Find the unit rate for miles per gallon
boyakko [2]

Answer:

30 miles per gallon

Step-by-step explanation:

I jus Done this one

5 0
3 years ago
How do you learn pi? What is it used for? Please be specific when explaining.
Ugo [173]

Answer:

just memorize the numbers in pi, I know the first like 4 numbers. 3.1415

Step-by-step explanation:

it is used for calculating the area of circles.

4 0
2 years ago
Evaluate the summation of negative 5 n minus 1, from n equals 3 to 12..
NARA [144]

The summation of negative 5 n minus 1, from n equals 3 to 12 can be expressed as

n = 3/12

substitute the value of n to the equatio

-5n – 1

-5( 3/12 ) -1

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5 0
3 years ago
An airplane pilot over the Pacific sights an atoll at an angle of depression of 10°. At this time, the horizontal distance from
Alex17521 [72]
The question was posted incomplete.

This is the part missing:

<span>What is the height of the plane to the nearest meter?

Answer:  559 m.

Explanation:

1) The horizontal distance between the plane and tha atoll makes a right triangle with the height, with the depression angle between the two legs.

2) Therefore, you can use the tangent trigonometric ratio:

tan(10°) = opposite-leg / adyacent-leg = height / horizontal distance

⇒ height = horizontal distance × tan (10°)

⇒ height = 3,172 m × tan(10°) = 559.31 m, which rounded to the nearest m is 559
</span>
6 0
3 years ago
5x +7 y=-17<br> 4x – 3y = -5<br> Substitute.
Bond [772]

Answer:

(x,y) = (-2, -1)

Step-by-step explanation:

We start off by substituting the value of "x".

5x+7y=-17

x=-\frac{5}{4} + \frac{3}{4}y

We then solve 55(-\frac{5}{4}+\frac{3}{4}y ) +7y= -17

y=-1 *Substitute the value of "y"

x= --\frac{5}{4}+\frac{3}{4}x(-1)

x=-2

\left \{ {{-17=-17} \atop {-5=-5}} \right. This works.

5 0
3 years ago
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