Answer:
![r^{6}](https://tex.z-dn.net/?f=r%5E%7B6%7D)
Step-by-step explanation:
Using the rule of exponents
=
, then
=
= ![r^{6}](https://tex.z-dn.net/?f=r%5E%7B6%7D)
The Pythagorean Theorum formula is a(squared) + b(squared)= c(squared). If you plug in the numbers, the equation is 39(squared) + 80(squared)= c(squared). That simplifies to 1521+6400=c(squared). Adding results in 7921=c(squared). Finally, when you take the square root of both sides, you are left with 89=c (aka the hypotenuse)
Answer:
R={-1, -11, 7}
Step-by-step explanation:
-2(2)^2+7=
-2(4)+7=
-8+7=
-1
-2(-3)^2+7=
-2(9)+7=
-18+7=
-11
-2(0)^2+7=
-2(0)+7=
0+7=
7
Answer:
Step-by-step explanation:
From the question we are told that
Edges of 8 feet, 4 feet, and 1/2 foot
Generally the volume V_p of the right rectangular prism is mathematically represented as
![V_p=8*4*0.5](https://tex.z-dn.net/?f=V_p%3D8%2A4%2A0.5)
![V_p=16](https://tex.z-dn.net/?f=V_p%3D16)
Generally volume of the cube V_c is mathematically given as
![V_c =(\frac{1}{2})^3](https://tex.z-dn.net/?f=V_c%20%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E3)
![V_c =\frac{1}{6}](https://tex.z-dn.net/?f=V_c%20%3D%5Cfrac%7B1%7D%7B6%7D)
Therefore total number of cubes is given as
![V=\frac{V_p}{V_c}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7BV_p%7D%7BV_c%7D)
![V=\frac{16}{\frac{1}{6}}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B16%7D%7B%5Cfrac%7B1%7D%7B6%7D%7D)
![V=96](https://tex.z-dn.net/?f=V%3D96)
60 pencils. It’s a ratio. 60/96 can be simplified down to 5/8