All categories

3 years ago

Solve 7+x-15=2 over 2/3

Mathematics

1 answer:

4vir4ik [10]3 years ago

4 0

Answer:

x= $\frac{32}{3}$

You might be interested in

The gravitational force, F, on a rocket at a distance, r, from the center of the earth is given by where k = 1013 newton · km2.

Margarita [4]

Answer:

Step-by-step explanation:

poopy equals stinky, that's all you need to know

7 0

3 years ago

1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?

AnnZ [28]

Answer:

y=1/4x+5

Step-by-step explanation:

7 0

3 years ago

Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 60 inches long and cuts it into

Alex_Xolod [135]

Answer:

a) the length of the wire for the circle = $(\frac{60\pi }{\pi+4}) in$

b)the length of the wire for the square = $(\frac{240}{\pi+4}) in$

c) the smallest possible area = 126.02 in² into two decimal places

Step-by-step explanation:

If one piece of wire for the square is y; and another piece of wire for circle is (60-y).

Then; we can say; let the side of the square be b

so 4(b)=y

b= $\frac{y}{4}$

Area of the square which is L² can now be said to be;

$A_S=(\frac{y}{4})^2 = \frac{y^2}{16}$

On the otherhand; let the radius (r) of the circle be;

2πr = 60-y

$r = \frac{60-y}{2\pi }$

Area of the circle which is πr² can now be;

$A_C= \pi (\frac{60-y}{2\pi } )^2$

$=( \frac{60-y}{4\pi } )^2$

Total Area (A);

A = $A_S+A_C$

= $\frac{y^2}{16} +(\frac{60-y}{4\pi } )^2$

For the smallest possible area; $\frac{dA}{dy}=0$

∴ $\frac{2y}{16}+\frac{2(60-y)(-1)}{4\pi}=0$

If we divide through with (2) and each entity move to the opposite side; we have:

$\frac{y}{18}=\frac{(60-y)}{2\pi}$

By cross multiplying; we have:

2πy = 480 - 8y

collect like terms

(2π + 8) y = 480

which can be reduced to (π + 4)y = 240 by dividing through with 2

$y= \frac{240}{\pi+4}$

∴ since $y= \frac{240}{\pi+4}$ , we can determine for the length of the circle ;

60-y can now be;

= $60-\frac{240}{\pi+4}$

= $\frac{(\pi+4)*60-240}{\pi+40}$

= $\frac{60\pi+240-240}{\pi+4}$

= $(\frac{60\pi}{\pi+4})in$

also, the length of wire for the square (y) ; $y= (\frac{240}{\pi+4})in$

The smallest possible area (A) = $\frac{1}{16} (\frac{240}{\pi+4})^2+(\frac{60\pi}{\pi+y})^2(\frac{1}{4\pi})$

= 126.0223095 in²

≅ 126.02 in² ( to two decimal places)

4 0

4 years ago

Which equation is true?

ELEN [110]

Answer:

2nd option is correct answer

6 0

3 years ago

Read 2 more answers

The radius of a pulley is 160 mm. Find the circumference of the pulley

Vera_Pavlovna [14]

Answer:

1130.4 mm

Step-by-step explanation:

Given,

Radius ( r ) = 180 mm

To find : Circumference of the pulley ( C ) = ?

Formula : -

C = 2πr

Note : -

Value of π is 3.14

C = 2 x 3.14 x 180

C = 1130.4 mm

5 0

2 years ago