To find out how many students voted, you just add the 2 numbers up and you'll get 98. So 98 students voted.
![\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)
- Given - <u>a </u><u>cone</u><u> </u><u>with </u><u>volume</u><u> </u><u>7</u><u>6</u><u>9</u><u>?</u><u>3</u><u> </u><u>ft³</u><u> </u><u>,</u><u> </u><u>having </u><u>a </u><u>height </u><u>of </u><u>1</u><u>5</u><u> </u><u>ft</u>
- To calculate - <u>radius </u><u>of </u><u>the </u><u>cone</u>
We know that ,
![\bold{Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h }\\](https://tex.z-dn.net/?f=%5Cbold%7BVolume%20%5C%3A%20of%20%5C%3A%20cone%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%5C%3A%20r%20%7B%7D%5E%7B2%7D%20%20h%20%7D%5C%5C%20%20)
<u>substituting</u><u> </u><u>the </u><u>values </u><u>in </u><u>the </u><u>formula</u><u> </u><u>stated </u><u>above </u><u>,</u>
![\bold{769.3 = \frac{1}{3} \times 3.14 \times r {}^{2} \times 15} \\ \\\bold{\implies r {}^{2} = \frac{769.3 \times 3}{3.14 \times 15} } \\ \\\bold{\implies r {}^{2} = \cancel\frac{2307.9}{47.1}} \\ \\\bold{ \implies \: r {}^{2} = 49} \\ \\ \bold{\implies \: r = 7 \: ft}](https://tex.z-dn.net/?f=%5Cbold%7B769.3%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%203.14%20%5Ctimes%20r%20%7B%7D%5E%7B2%7D%20%20%5Ctimes%2015%7D%20%5C%5C%20%20%5C%5C%5Cbold%7B%5Cimplies%20r%20%7B%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B769.3%20%5Ctimes%203%7D%7B3.14%20%5Ctimes%2015%7D%20%7D%20%5C%5C%20%20%5C%5C%5Cbold%7B%5Cimplies%20%20r%20%7B%7D%5E%7B2%7D%20%20%3D%20%20%5Ccancel%5Cfrac%7B2307.9%7D%7B47.1%7D%7D%20%20%5C%5C%20%20%5C%5C%5Cbold%7B%20%5Cimplies%20%5C%3A%20r%20%7B%7D%5E%7B2%7D%20%20%3D%2049%7D%20%5C%5C%20%20%5C%5C%20%5Cbold%7B%5Cimplies%20%5C%3A%20r%20%3D%207%20%5C%3A%20ft%7D)
therefore ,
<u>radius </u><u>=</u><u> </u><u>7</u><u> </u><u>cm</u>
hope helpful ~
Let’s take a random number such as 10, for example as the divisor of the equation.
Let’s take the dividend, or numerator of the fraction be x.
The solution of the fraction would be -2.
x/10 = -2
Or, x= -2 x 10
Or, x= -20
Therefore, -20/10 = -2
Ans: The division equation would be -20/10 = -2.
Answer:
b) 15 winners
Step-by-step explanation
if 3 winners get $720,000 each that means there is $2,160,000 total. So if each winner gets $144,000 each that means there are 15 winners.
(2,160,000/ 144,000)
Answer: The value of k is 5 units.
Step-by-step explanation:
Since we have given that
The graph of f(x)=0.5x is replaced by the graph of g(x) = 0.5x-k
If g(x) is obtained by shifting f(x) down by 5 units,
Then the graph of f(x) = 0.5x is replaced by the graph of g(x) = 0.5x-5
Hence, k = 5 units
Therefore, the value of k is 5 units.