![\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}](https://tex.z-dn.net/?f=%5Chuge%5Cunderline%7B%5Cred%7BA%7D%5Cblue%7Bn%7D%5Cpink%7Bs%7D%5Cpurple%7Bw%7D%5Corange%7Be%7D%5Cgreen%7Br%7D%20-%7D)
![\tan(\theta) = \frac{perpendicular}{base} \\](https://tex.z-dn.net/?f=%20%5Ctan%28%5Ctheta%29%20%20%3D%20%20%5Cfrac%7Bperpendicular%7D%7Bbase%7D%20%20%5C%5C%20)
we can see we aren't provided with the perpendicular , so let's find it using Pythagoras Theorem !
![H {}^{2} = P {}^{2} + B {}^{2} \\ \\ \dashrightarrow 17 {}^{2} = P {}^{2} + 8 {}^{2} \\ \\ \dashrightarrow \: P {}^{2} = 17 {}^{2} - 8 {}^{2} \\ \\ \dashrightarrow \: P {}^{2} = 289 - 64 \\ \\ \dashrightarrow \: P { }^{2} = 225 \\ \\ \dashrightarrow \: P = \sqrt{225} \\ \\ \dashrightarrow \: P = 15](https://tex.z-dn.net/?f=H%20%7B%7D%5E%7B2%7D%20%20%3D%20P%20%7B%7D%5E%7B2%7D%20%20%2B%20B%20%7B%7D%5E%7B2%7D%20%5C%5C%20%20%5C%5C%20%5Cdashrightarrow%2017%20%7B%7D%5E%7B2%7D%20%20%3D%20P%20%7B%7D%5E%7B2%7D%20%20%2B%208%20%7B%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%5Cdashrightarrow%20%5C%3A%20P%20%7B%7D%5E%7B2%7D%20%20%3D%2017%20%7B%7D%5E%7B2%7D%20%20-%208%20%7B%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%5Cdashrightarrow%20%5C%3A%20P%20%7B%7D%5E%7B2%7D%20%20%3D%20289%20-%2064%20%5C%5C%20%20%5C%5C%20%5Cdashrightarrow%20%5C%3A%20P%20%7B%20%7D%5E%7B2%7D%20%20%3D%20225%20%5C%5C%20%20%5C%5C%20%5Cdashrightarrow%20%5C%3A%20P%20%3D%20%20%5Csqrt%7B225%7D%20%20%5C%5C%20%20%5C%5C%20%5Cdashrightarrow%20%5C%3A%20P%20%3D%2015)
<u>substituting</u><u> </u><u>the </u><u>value </u><u>of </u><u>P </u><u>in </u><u>the </u><u>formula</u>
![\tan(\theta) = \frac{15}{8} \\](https://tex.z-dn.net/?f=%20%20%5Ctan%28%5Ctheta%29%20%20%3D%20%20%5Cfrac%7B15%7D%7B8%7D%20%20%5C%5C%20)
<u>therefore </u><u>,</u><u> </u><u>option </u><u>(</u><u> </u><u>B </u><u>)</u><u> </u><u>is </u><u>correct </u><u>!</u>
hope helpful ~
Hand writing is bad sorry, but I hope that helped.
The cone has the smallest volume of the 2 figures. This is because formula for cylinder is <em>b x h</em>, the formula for cone is <em>1/3(b x h)</em> so if they have <em />same height and <em>base area</em> cylinder would have larger volume because for cylinder, formula is one-third of <em>b x h. </em>Hope I helped!! : )
Unit price: divide each coffee's total cost by the total package weight.
First Coffee= $3.24 ÷ 10.5 oz= $0.3085 per oz= $0.31 per oz rounded
Second Coffee= $9.88 <span>÷ </span>30.6 oz= $0.3228 per oz
= $0.32 per oz rounded
ANSWER: The first coffee is a better buy at only $0.31 cents per ounce. The second coffee has a higher price per ounce, so it is not a better buy.
Hope this helps! :)
Answer:
![x=-1/2](https://tex.z-dn.net/?f=x%3D-1%2F2)
Step-by-step explanation:
![4 x - 6 = 10 x - 3](https://tex.z-dn.net/?f=4%20x%20-%206%20%3D%2010%20x%20-%203)
![4 x -10x= - 3+6](https://tex.z-dn.net/?f=4%20x%20-10x%3D%20-%203%2B6)
![-6x=3](https://tex.z-dn.net/?f=-6x%3D3)
![-6x/6=-3/6](https://tex.z-dn.net/?f=-6x%2F6%3D-3%2F6)
![x=-1/2](https://tex.z-dn.net/?f=x%3D-1%2F2)