Answer:
Surface area = 1808.64in² and volume is 7234.56in³
Step-by-step explanation:
The figure above is a sphere, and it has a diameter of 24in
Radius = ?
Radius = diameter / 2
R = 24 / 2
R = 12in
Surface area of of sphere = 4πr²
Volume of a sphere = 4/3 πr³
π = 3.14
1. Surface area = 4 * 3.14 * 12²
Surface area = 4 * 3.14 * 144
Surface area = 1808.64in²
2. Volume of the sphere = 4/3πr³
Volume = 4/3 * 3.14 * 12³
Volume = 4/3 * 3.14 * 1728
Volume = 7234.56in³
The surface area of the sphere is 1808.64in² and the volume is 7234
56in³
Answer:
x = 10
Step-by-step explanation:
9x - 40 = 3x + 20
<u>9</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>x</u> - 40 = <u>3x - 3x</u> + 20
6x - 40 = 20
6x <u>-</u><u> </u><u>40</u><u> </u><u>+</u><u> </u><u>40</u> = <u>20</u><u> </u><u>+</u><u> </u><u>40</u>
6x = 60
<u>6x</u><u> </u><u>/</u><u> </u><u>6</u> = <u>60</u><u> </u><u>/</u><u> </u><u>6</u>
x = 10
Now plug the x value in the equation to make the statement true that A is parallel to B.
9x - 40
<u>9</u><u>(</u><u>10</u><u>)</u> - 40
<u>90</u><u> </u><u>-</u><u> </u><u>40</u>
50
3x + 20
<u>3</u><u>(</u><u>10</u><u>)</u> + 20
<u>30</u><u> </u><u>+</u><u> </u><u>20</u>
50
Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!
You can ask and answer questions
The first one stays the same as it does not simplify =108
and the second one is the sames as it does not simplify =233
Answer:
Part 1) The equation tells us that Terry started at an elevation of 2,600 ft
Part 2) The elevation is decreasing by 50 feet each second
Step-by-step explanation:
we have
where
E(t) is Terry's elevation in feet
t is the time in seconds
Part 1) Find the E intercept of the equation
The E-intercept is the value of E when the value of t is equal to zero
so
For t=0
substitute
therefore
The equation tells us that Terry started at an elevation of 2,600 ft
Part 2) Find the slope of the equation
we have
This is the equation of the line into slope intercept form
The slope m is equal to
The slope is negative, because is decreasing
therefore
The elevation is decreasing by 50 feet each second
