The line that corresponds with the table is y= -2x + 3. We can use the slope formula to find the slope(-<span>2).</span>
The <em>hypotenuse </em>is a side unique to a right triangle - specifically, it's the side opposite the triangle's right angle. Since we already know one of the triangle's angles (its right angle), and we're giving one of its acute angles, we have two adjacent angles and a side from one of those angles - C. The AAS theorem, would be the appropriate choice.
44 identical red wooden blocks can be arranged in 44! ways
99 identical white wooden blocks can be arranged in 99! Ways
If the 44 red blocks and the 99 white blocks are to be
stacked on top of one another, the number of different color patterns that can
result = 44! x 99!
44! = 2.65827157 x 10^54
99! = 9.33262154 x 10^155
44! x 99! = 2.48086426 x 10^210
Therefore, 2.48086426 x 10^210 different color patterns can result
Answer: D
vertical stretch of 2, horizontal compression to a period of pi/2, phase shift of pi units to the right, vertical shift of 1 unit down
Step-by-step explanation:
Given that,
On a coordinate plane, a curve crosses the y-axis at y = 1. It has a maximum of 1 and a minimum of negative 3. It goes through 2 cycles at 2 pi. The it will experience a transformation of
vertical stretch of 2, horizontal compression to a period of pi/2, phase shift of pi units to the right, vertical shift of 1 unit down
Answer:
The new pyramid has a volume that is 8 times the volume of the original pyramid
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z ----> the scale factor
V_1 -----> volume of the original pyramid
V_2 -----> volume of the new pyramid
![z^{3}=\frac{V_2}{V_1}](https://tex.z-dn.net/?f=z%5E%7B3%7D%3D%5Cfrac%7BV_2%7D%7BV_1%7D)
In this problem we have that each of the dimensions of the original pyramid are doubled
so
![z=2](https://tex.z-dn.net/?f=z%3D2)
so
substitute
![2^{3}=\frac{V_2}{V_1}](https://tex.z-dn.net/?f=2%5E%7B3%7D%3D%5Cfrac%7BV_2%7D%7BV_1%7D)
![8=\frac{V_2}{V_1}](https://tex.z-dn.net/?f=8%3D%5Cfrac%7BV_2%7D%7BV_1%7D)
![V_2=8V_1](https://tex.z-dn.net/?f=V_2%3D8V_1)
therefore
The volume of the new pyramid is 8 times the volume of the original pyramid