The first thing you should do is calculate the volume of the prism.
We have then:
V = h * L ^ 2
Where,
L: side of the square base.
h: height.
Substituting we have:
V = (0.5) * (1) ^ 2 = 0.5 feet ^ 3.
Then, we can make the following rule of three:
1.5 feet ^ 3 ---> 6
0.5 feet ^ 3 ---> x
Clearing x we have:
x = (0.5 / 1.5) * (6) = 2 $
Answer:
it will cost Sara 2 $ to completely fill her planter with soil
m∠R = 27.03°
Solution:
Given In ΔQRP, p = 28 km, q = 17 km, r = 15 km
To find the measure of angle R:
Law of cosine formula for ΔQRP:
![r^{2}=p^{2}+q^{2}-2 pq \cos R](https://tex.z-dn.net/?f=r%5E%7B2%7D%3Dp%5E%7B2%7D%2Bq%5E%7B2%7D-2%20pq%20%5Ccos%20R)
Substitute the given values in the above formula.
![(15)^{2}=(28)^{2}+(17)^{2}-2 (28)(17) \cos R](https://tex.z-dn.net/?f=%2815%29%5E%7B2%7D%3D%2828%29%5E%7B2%7D%2B%2817%29%5E%7B2%7D-2%20%2828%29%2817%29%20%5Ccos%20R)
![225=784+289-952 \cos R](https://tex.z-dn.net/?f=225%3D784%2B289-952%20%5Ccos%20R)
![225=1073-952 \cos R](https://tex.z-dn.net/?f=225%3D1073-952%20%5Ccos%20R)
Switch the given equation.
![1073-952 \cos R=225](https://tex.z-dn.net/?f=1073-952%20%5Ccos%20R%3D225)
Subtract 1073 from both side of the equation.
![-952 \cos R=-848](https://tex.z-dn.net/?f=-952%20%5Ccos%20R%3D-848)
Divide by –952 on both sides.
![$ \cos R=\frac{106}{119}](https://tex.z-dn.net/?f=%24%20%5Ccos%20R%3D%5Cfrac%7B106%7D%7B119%7D)
![$ R=\cos^{-1} \left(\frac{106}{119}\right)](https://tex.z-dn.net/?f=%24%20%20R%3D%5Ccos%5E%7B-1%7D%20%5Cleft%28%5Cfrac%7B106%7D%7B119%7D%5Cright%29)
![R=27.03^\circ](https://tex.z-dn.net/?f=R%3D27.03%5E%5Ccirc)
Hence m∠R = 27.03°.
Ans $0.15 cents per ounce wer:
Answer: neather do i add picture
Step-by-step explanation: