Answer:
7/10
Step-by-step explanation:
Out of the ten spins seven landed on blue.
I hope this helps :)
<h3>The volume of a hexagonal-based prism is 744 cubic inches</h3><h3>No the volume will not be different</h3>
<em><u>Solution:</u></em>
Given that,
Hexagonal-based prism with a height of 12 in. and a base area of 62 square inches
<em><u>The volume of prism is given as:</u></em>
![volume\ of\ prism = base\ area \times height\\\\volume\ of\ prism = 62 \times 12\\\\volume\ of\ prism = 744](https://tex.z-dn.net/?f=volume%5C%20of%5C%20prism%20%3D%20base%5C%20area%20%5Ctimes%20height%5C%5C%5C%5Cvolume%5C%20of%5C%20prism%20%3D%2062%20%5Ctimes%2012%5C%5C%5C%5Cvolume%5C%20of%5C%20prism%20%3D%20744)
Thus volume of a hexagonal-based prism is 744 cubic inches
Would the volume be different if the base were a pentagon with an area of 62 in² ?
No the volume will not be different
The shape of base does not matter, as long as the base area is same
Thus, volume of hexagonal-based prism and pentagon prism with area 62 inches is 744 cubic inches
Answer:
<h2>b)4</h2>
Step-by-step explanation:
Answer:
The line that meets these conditions is y = 1.5x - 2.5
If you want to use fractions, it would be y = 3x/2 - 5/2
Step-by-step explanation:
To get a line perpendicular to y = -(2/3)x + 1, We can start by finding its slope. That's easy enough as a perpendicular slope is the negative reciprocal of the given one. As this has a slope of -2/3, our new slope has to be 3/2, or 1.5
All we need to do then is express that rate of change relative to the given point (-1, -4). We can do this by expanding the classic equation:
Δy = sΔx
We can write that as such:
y - (-4) = 1.5(x - (-1))
y + 4 = 1.5(x + 1)
y + 4 = 1.5x + 1.5
y = 1.5x + 1.5 - 4
y = 1.5x - 2.5
Or if you want to express those numbers as fractions, it would be y = 3x/2 - 5/2.
To make sure the answer's correct, we can simply plug -1 in as the x value, and see if we get y = -4:
y = 3(-1) / 2 - 5/2
y = -3 / 2 - 5 / 2
y = -8 / 2
y = -4
So we know that our answer is correct (assuming that the slope is correct, which it is - a perpendicular line always has the negative reciprocal of the other line's slope).
20/9 is the answer that I got