<h2>
Greetings!</h2>
Answer:
3000 ft³
Step-by-step explanation:
The area of a rectangle is:
Height x length x width
So simply plug the given values in:
20 x 15 x 10 = 3000
<h3>So the volume is 3000 ft³</h3>
<h2>Hope this helps!</h2>
Answer:
![y=-\dfrac{1}{2}x+2](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B2%7Dx%2B2)
Step-by-step explanation:
Let
x = the amount of time William has been digging
y = the amount he has left to dig
The hole has to be in 2 ft deep. This means when William starts, the hole was 0 feet deep and has left 2 ft to dig. Hence, y-intercept is ![b=2](https://tex.z-dn.net/?f=b%3D2)
He is able to dig at a rate of
ft per minute. Thus, the slope is
(negative because the depth left to dig is decreasing).
The slope-intercept form of the equation is
so in your case this equation is
![y=-\dfrac{1}{2}x+2](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B2%7Dx%2B2)
<span>Rigid motion of a plane is a transformation where the original and new image are congruent. In short, it's also known as isometry.
In the case above, ΔDWP is presumed to be congruent to </span><span>ΔMJS. Rigid motions involved here are translation and rotation.
In translation, you are basically sliding/moving the figure. </span>ΔDWP is moved five (5) units down then one (1) unit to the left. Thereby, coinciding point W of ΔDWP and point J of ΔMJS.<span>
Next rigid motion used is rotation. The figure is simply rotated approximately 90 degrees thereby coinciding all points of </span>ΔDWP to ΔMJS<span>.
To check for congruency by just merely looking on the plane, compare the lengths of the sides of the triangles.
side DW = side MJ = 2 units
side WP = side JS = 4 units
side PD = side SM = 5 units
Therefore, we can say that </span>ΔDWP is congruent to ΔMJS.<span>
</span>
The probability of getting a number less than 6 is 5/6 if there are 6 sides