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Sergio [31]
3 years ago
11

The perimeter of the rectangle is 30 centimeters.What is the side of c

Mathematics
2 answers:
Dafna1 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Emmm

Nat2105 [25]3 years ago
4 0

Answer:

Step-by-step explanation:  10 Hope this helped Have A Great

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A student found the product of 6 x 10^5 and 5 x 10^6 to be 3 x 10^11. What is the error? What is the correct product? Complete t
Rainbow [258]
The student is off by a power of 10

The answer is 3 x 10^12
3 0
3 years ago
A worker is to construct an open rectangular box with a square base and a volume of 196196 ft cubedft3. If material for the bott
Archy [21]

Answer:

Therefore the dimensions of the box is 7 ft by 7 ft by 4 ft.

Therefore the minimum cost to manufacture the box is $12936.

Step-by-step explanation:

Given the volume of the open box is 196 cube ft.

Let the one side of the base of the box be x.

Since the base of the box is square in shape.

The other side of the base is also x.

The area of the base of the box = x² square ft

Let the height of the box be h.

The volume of the box is = Area of the base× height

                                          =(x²×h) cube ft.

                                           =x²h cube ft.

According to the problem,

x²h=196

\Rightarrow h=\frac{196}{x^2}

The material cost for the bottom is $88 per square ft and the material cost for the sides $77  per square ft.

The material cost for the bottom of the box = $(88×x²)

                                                                         =$88x²

The area sides = 2(length+width)height

                       =2(x+x)h

                      =4xh square ft.

The material cost for the sides of the box =$(77×4xh)

                                                                    =$308 xh

Total cost to make the box is =$(88x²+308 xh)

∴C=88x²+308 xh    [ C is in dollar]

Now putting h=\frac{196}{x^2}

C=88x^2+308x\times \frac{196}{x^2}

\Rightarrow C=88x^2+ \frac{60368}{x}

Differentiating with respect to x

C'=176x- \frac{60368}{x^2}

Again differentiating with respect to x

C''=176+ \frac{120736}{x^3}

Now to find the minimum cost, we set C'=0

\therefore 176x- \frac{60368}{x^2}=0

\Rightarrow 176x= \frac{60368}{x^2}

\Rightarrow x^3= \frac{60368}{176}

\Rightarrow x^3=343

\Rightarrow x=7

Now, C''|_{x=7}=176+ \frac{120736}{7^3}>0

Therefore at x=7, the manufacturing cost will be minimum.

The height of the box is h=\frac{196}{7^2} = 4ft

Therefore the dimensions of the box is 7 ft by 7 ft by 4 ft.

The manufacturing cost is C=88.7^2+ \frac{60368}{7}   [ putting x=7]

                                             =$12936

Therefore the minimum cost to manufacture the box is $12936.

4 0
3 years ago
Aiden has three 20$ bills and two 10$ bills he wants to save a total of 95$ how much more money does he need what bills could th
kow [346]

Answer:

$15.00

A $10.00 and a $5.00 dollar bill

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
In a sale, all the prices are reduced by 25%. Julie sees a jacket that cost $32 before the sale. How much does it cost in the sa
jeka94

Answer: oringial sale price = $40

Step-by-step explanation:

Find 25% of the sale price and add it to the sale price to find the original price

So - 10% - is 3.2

20% - is 3.2 x 2 =6.4

5% - is 3.2 divided by 2 = 1.6

25% - 6.4 + 1.6 = 8

Original sale price - $8 + $32 = $40

5 0
3 years ago
-4x+3y=-13 -8x+3y=-17 solve by elimanation
Murljashka [212]

Answer:

Point Form:

(1, -3)

Equation Form:

x = 1, y = -3

Step-by-step explanation:

Add the equations so you can solve for the first variable. Input this value into the other equations to solve for the other variables.

8 0
3 years ago
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