Y = $36 x 0.9

The circumference of the

Tju [1.3M]

To the nearest inch it'll be

d×3.14=63

= 20 inches

8 0

3 years ago

On a coordinate plane, point B(–6, 1) is translated to B prime(–3, –2). Indira uses these steps to find a rule to describe the t

Lunna [17]

Answer:

The rule of the translation is (x,y) -----> (x+3,y-3)

The translation is 3 units at right and 3 units down

Step-by-step explanation:

we have that

The translation of point B to point B' is

B(-6,1) -----> B'(-3,-2)

so

(x,y) -----> (x+a,y+b)

B(-6,1) ----> (-6+a,1+b)

Find the value of a

$-6+a=-3$

solve for a

$a=-3+6\\a=3$

Find the value of b

$1+b=-2$

solve for b

$b=-2-1\\b=-3$

therefore

The rule of the translation is

(x,y) -----> (x+3,y-3)

That means ----> The translation is 3 units at right and 3 units down

3 0

3 years ago

Read 2 more answers

Eleven is 20% of ____

ollegr [7]

Convert to a decimal which would be 0.55 (11/20).

Then you want to multiply 0.55 by 100 (which is a whole number, all % is going to come from 100) to convert to a full % -> 0.55*100

Then you will simplify 0.55*100

You answer will be 55%.

5 0

3 years ago

Read 2 more answers

Solve<br><br> 1+−=0<br> 2 − 2 = 4

tekilochka [14]

Answer:

Both questions are inaccurate.

Step-by-step explanation:

You cannot have a +- next to each other without a number on the right of it.

Also 2-2=0 not 4.

5 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