A. 4 dimes and 1 penny because it equal 41 cents, 7 nickels and 6 pennies equal 41 cents too
Answer:
x+7
Step-by-step explanation:
So it's been a while since I took Geometry, so I don't know what principle makes these angles equal to each other, but I know that they are in fact equal. So that means that 6x +3 = 45. Subtract 3 from each side gets you 42+6x, then divide each side by 6, which gets you your answer of x=7.
Answer:
Color 2 of the strawberries.
Color 4 of the pineapples.
Color 5 of the tomatoes.
Step-by-step explanation:
Divide each quantity by 4
Answer:
The height of right circular cone is h = 15.416 cm
Step-by-step explanation:
The formula used to calculate lateral surface area of right circular cone is: ![s=\pi r\sqrt{r^2+h^2}](https://tex.z-dn.net/?f=s%3D%5Cpi%20r%5Csqrt%7Br%5E2%2Bh%5E2%7D)
where r is radius and h is height.
We are given:
Lateral surface area s = 236.64 cm²
Radius r = 4.75 cm
We need to find height of right circular cone.
Putting values in the formula and finding height:
![s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416](https://tex.z-dn.net/?f=s%3D%5Cpi%20r%5Csqrt%7Br%5E2%2Bh%5E2%7D%5C%5C236.64%3D3.14%284.75%29%5Csqrt%7B%283.75%29%5E2%2Bh%5E2%7D%20%5C%5C236.64%3D14.915%5Csqrt%7B%283.75%29%5E2%2Bh%5E2%7D%20%5C%5C%5Cfrac%7B236.64%7D%7B14.915%7D%3D%5Csqrt%7B14.0625%2Bh%5E2%7D%20%20%5C%5C15.866%3D%5Csqrt%7B14.0625%2Bh%5E2%7D%20%5C%5CSwitching%5C%3Asides%5C%3A%5C%5C%5Csqrt%7B14.0625%2Bh%5E2%7D%20%3D15.866%5C%5CTaking%5C%3Asquare%5C%3Aon%5C%3Aboth%5C%3Asides%5C%5C%28%5Csqrt%7B14.0625%2Bh%5E2%7D%29%5E2%20%3D%2815.866%29%5E2%5C%5C14.0625%2Bh%5E2%3D251.729%5C%5Ch%5E2%3D251.729-14.0625%5C%5Ch%5E2%3D237.6665%5C%5CTaking%5C%3Asquare%5C%3Aroot%5C%3Aon%5C%3Aboth%5C%3Asides%5C%5C%5Csqrt%7Bh%5E2%7D%3D%5Csqrt%7B237.6665%7D%20%5C%5Ch%3D15.416)
So, the height of right circular cone is h = 15.416 cm
Answer:
see below
Step-by-step explanation:
If x represents the number of dimes, then 2x will represent twice the number of dimes. This is the number of quarters, since there are twice as many quarters as dimes.
There are 6 more nickels than dimes, so the number of nickels is 6 more than x. It is (x+6).
If we use the monetary values in cents, then the total of all coins is ...
25(2x) +10(x) + 5(x+6) = 485 . . . . . . matches choice D