HAPPY HOLIDAYS! PLEASE HELP!

A spherical snowball is melting. The radius after t hours is 1-t meters. [Volume of a sphere of radius R is 4R3π/3] (a) What fra

MrMuchimi

Answer:

$0,52m^{3}$

Step-by-step explanation:

r=(1-tm) $Vs=\frac{4\pi r^{3} }{3} =\frac{4\pi (1-t)^{3}}{3}=4,18(0,5)^{3} = 0,52m^{3}$

7 0

4 years ago

Match each fraction with its percent equivalent.

adoni [48]

1/2=50%
3/10=30%
2/5=40%
14/25=56%

8 0

3 years ago

Read 2 more answers

You are building a rectangular garden against the

Harman [31]

The area of the garden needs to be greater than 400 square feet but less than 600 square feet

7 0

3 years ago

Read 2 more answers

How can you find the equation of a line that is parallel/perpendicular to a given line

alexdok [17]

In the Slope-Intercept Form, m is the slope and b is the y-intercept.

<u>Finding The Equation of a Line Parallel to the Given Line:</u> Let the given line be line a and the parallel line be line b.

1) Find the slope of line a.

Example: Line a --> $y = 5x + 2$ . The slope is 5.

2) Find the y-intercept of line b.

To do this, you need to be given the coordinates of a point located on line b.

Example: The slope is 5 and the point is (2, 3), use the Slope-Intercept Formula, $y=mx+b$ ---> $3 = 5(2) + b$ . Then you solve for b.

$3 = 5(2) + b$

$3 = 10 + b$

$3 - 10 = 10 - 10 + b$

$-7 = b$ $b=-7$

The y-intercept of line b is -7

3) Finally, plugin the slope and the y-intercept into the Slope-Intercept Form.

Example: The slope of line b is 5 and the y-intercept is -7. The equation of line b is $y = 5x - 7$ .

<u>Finding The Equation of a Line Perpendicular to The Given Line:</u> Let the given line be line a and the perpendicular line be line b.

1) Find the opposite reciprocal of the slope of line a.

Example: Line a --> $y=5x+2$ . The slope is 5, to find the opposite reciprocal of the slope you use n --> $-\frac{1}{n}$ . In this case, it would be $-\frac{1}{5}$ . The opposite reciprocal of the slope of line a is $-\frac{1}{5}$ , which would be the slope of line b.

2) Find the y-intercept of line b.

To do this, you need to be given the coordinates of the point where line a and line b both intersect.

Example: The slope of line b is $-\frac{1}{5}$ and the point is (1, 7), use the Slope-Intercept Formula, $y=mx+b$ ---> $7=-\frac{1}{5}(1) + b$ . Then you solve for b.