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2 years ago

5

A commercial jet liner hits an air pocket and drops 223 feet. After climbing 177 feet it drops another 162 feet. What is its ove

rall vertical change?
The jets overall vertical change is
?? feet

1 answer:

kondaur [170]2 years ago

4 0

218 is the overall vertical change

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X-1/2=15 1/4 whats x and show work

ikadub [295]

X-1/2=15 1/4

15 1/4 = 15*4 + 1 = 61/4

61/4

x - 1/2 = 61/4
+1/2 +1/2

61/4 + 2/4 = 63/4

x = 63/4

7 0

3 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by

a_sh-v [17]

Answer:

Dimension of the box is $16.1\times 7.1\times 2.45$

The volume of the box is 280.05 in³.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the box?

Solution :

Let h be the height of the box which is the side length of a corner square.

According to question,

A sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

The length of the box is $L=21-2h$

The width of the box is $W=12-2h$

The volume of the box is $V=L\times W\times H$

$V=(21-2h)\times (12-2h)\times h$

$V=(21-2h)\times (12h-2h^2)$

$V=252h-42h^2-24h^2+4h^3$

$V=4h^3-66h^2+252h$

To maximize the volume we find derivative of volume and put it to zero.

$V'=12h^2-132h+252$

$0=12h^2-132h+252$

Solving by quadratic formula,

$h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h=\frac{-(-132)\pm\sqrt{132^2-4(12)(252)}}{2(12)}$

$h=\frac{132\pm72.99}{24}$

$h=2.45,8.54$

Now, substitute the value of h in the volume,

$V=4h^3-66h^2+252h$

When, h=2.45

$V=4(2.45)^3-66(2.45)^2+252(2.45)$

$V\approx 280.05$

When, h=8.54

$V=4(8.54)^3-66(8.54)^2+252(8.54)$

$V\approx -170.06$

Rejecting the negative volume as it is not possible.

Therefore, The volume of the box is 280.05 in³.

The dimension of the box is

The height of the box is h=2.45

The length of the box is $L=21-2(2.45)=16.1$

The width of the box is $W=12-2(2.45)=7.1$

So, Dimension of the box is $16.1\times 7.1\times 2.45$

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3 years ago

Complete the statement. Round to the nearest hundredth if necessary.<br><br> 6 lb = *blank* oz

skad [1K]

Answer:

3 oz

Step-by-step explanation:

You have to divide 6 by 2 and you'll get the answer.

3 0

2 years ago

−9x+4y=6 9x+5y=−33

blsea [12.9K]

Answer:

{x,y} = {-2,-3}

Step-by-step explanation:

System of Linear Equations entered :

[1] -9x + 4y = 6

[2] 9x + 5y = -33

Graphic Representation of the Equations :

4y - 9x = 6 5y + 9x = -33

Solve by Substitution :

// Solve equation [2] for the variable y

[2] 5y = -9x - 33

[2] y = -9x/5 - 33/5

// Plug this in for variable y in equation [1]

[1] -9x + 4•(-9x/5-33/5) = 6

[1] -81x/5 = 162/5

[1] -81x = 162

// Solve equation [1] for the variable x

[1] 81x = - 162

[1] x = - 2

// By now we know this much :

x = -2

y = -9x/5-33/5

// Use the x value to solve for y

y = -(9/5)(-2)-33/5 = -3

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3 years ago

What is the slope of the line that passes through the following points (7,10) and (10,9)

Svet_ta [14]

Answer:

-1/3

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

= ( 9-10)/(10-7)

= -1/3

8 0

3 years ago

Read 2 more answers