Ask question

Ask question

All categories

2 years ago

13

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

1 answer:

Nat2105 [25]2 years ago

8 0

Answer:

m∠1 = 67

Step-by-step explanation:

You might be interested in

Which of these types of saving are you already doing

Shkiper50 [21]

What do you mean I don’t get it

6 0

3 years ago

A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base.

noname [10]

Answer:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

Step-by-step explanation:

Given

$Volume = 128ft^3$

$L = 2W$

$Base\ Cost = \$9/ft^2$

$Sides\ Cost = \$6/ft^2$

Required

The dimension that minimizes the cost

The volume is:

$Volume = LWH$

This gives:

$128 = LWH$

Substitute $L = 2W$

$128 = 2W * WH$

$128 = 2W^2H$

Make H the subject

$H = \frac{128}{2W^2}$

$H = \frac{64}{W^2}$

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

$A = LW + 2(WH + LH)$

The cost is:

$Cost = 9 * LW + 6 * 2(WH + LH)$

$Cost = 9 * LW + 12(WH + LH)$

$Cost = 9 * LW + 12H(W + L)$

Substitute: $H = \frac{64}{W^2}$ and $L = 2W$

$Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)$

$Cost =18W^2 + \frac{768}{W^2}*3W$

$Cost =18W^2 + \frac{2304}{W}$

To minimize the cost, we differentiate

$C' =2*18W + -1 * 2304W^{-2}$

Then set to 0

$2*18W + -1 * 2304W^{-2} =0$

$36W - 2304W^{-2} =0$

Rewrite as:

$36W = 2304W^{-2}$

Divide both sides by W

$36 = 2304W^{-3}$

Rewrite as:

$36 = \frac{2304}{W^3}$

Solve for $W^3$

$W^3 = \frac{2304}{36}$

$W^3 = 64$

Take cube roots

$W = 4$

Recall that:

$L = 2W$

$L = 2 * 4$

$L = 8$

$H = \frac{64}{W^2}$

$H = \frac{64}{4^2}$

$H = \frac{64}{16}$

$H = 4$

Hence, the dimension that minimizes the cost is:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

8 0

3 years ago

If 2.2x10^6 - 4.3x10^5 what does this equal

bearhunter [10]

Answer:

If the decimal is being moved to the left, the exponent will be positive. 1.77×10 ...

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

{4x-2y<0}<br> {5x+3y<-11}

kkurt [141]

Finding the sum for y in the equation 4x-2y< 0
so 4x - 2y = 0
4x - 2y - 4x would equal 0 - 4x
-2y = -4x
-2y divided by -2 equals -4x / -2
That means y=2x

3 0

3 years ago

Timothy is an hourly employee and he can work maximum of 40 hours in a week. If the weekly salary depends on the number of hours

Gennadij [26K]

Answer:

C

Step-by-step explanation:

0 ≤ h ≤ 40, h ∈ R

Hope this helps :)

7 0

2 years ago