D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF? A. 30° B. 45° C. 60° D. 90°

yulyashka [42]

78500 is ur answer : ) : ) : )

3 0

3 years ago

nickel has an approximate diameter of 20 mm and an approximate thickness of 2 mm what is the approximate volume of a stack of 40

ziro4ka [17]

Answer:

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Step-by-step explanation:

A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels ( $V_{net}$ ), measured in cubic milimeters, is the product of the number of elements ( $n$ ), no unit, and the volume of each element ( $V$ ), measured in cubic milimeters. That is:

$V_{net} = n\cdot V$ (1)

By volume equation of right cylinder, we have the following formula:

$V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h$ (2)

Where:

$n$ - Amount of nickels, no unit.

$D$ - Diameter of nickel, measured in milimeters.

$h$ - Thickness of nickel, measured in milimeters.

If we know that $n = 40$ , $D = 20\,mm$ and $h = 2\,mm$ , then the net volume of the stack of nickels is:

$V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)$

$V_{net} \approx 25132.741\,mm^{3}$

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

8 0

2 years ago

Enter the number that belongs in the green box.

ale4655 [162]

Answer:

the green box is 0

Step-by-step explanation:

we are asked to find the <u>x-intercept</u>, which means y = 0

(x, y)

Another way to test this is plug it in 1 for x! (1, y) where x = 1

$y = \frac{2x^{2} -3x+1}{2x^{2} +8x+6} \\\\$

$y = \frac{2(1)^{2} -3(1)+1}{2(1)^{2} +8(1)+6}$

$y = \frac{2(1) -3(1)+1}{2(1) +8+6}$

$y = \frac{2 - 3 + 1}{2 + 8 + 6}$

$y = \frac{-1+1}{10 + 6}$

$y = \frac{0}{16}$

y = 0

6 0

1 year ago

Mrs Lanes laptop stays on for 6 hours without being plugged in and Mr Trevor's laptop stays plugged for 400 minutes who's laptop

o-na [289]

Mr. Trevor's laptop as he has 400 minutes compared to Mrs Lanes 360 minuted.(6x60=360). So, Mr. Trevor had a total time of 6 hours and 40 minutes.

6 0

3 years ago

The sum of two consecutive positive integers is 71 find the two positive integers

Veronika [31]

Let the first number be x. The next number will be x+1 since the two numbers are consecutive.

So, the equation is x + x+1 = 71

2x+1 = 71

2x = 70

x = 35

So, the first number is 35.

To find the next number, add 1 to 35.

So, the answers are 35 and 36.

8 0

3 years ago