Answer:
Step-by-step explanation:
Ratios of perimeters is a one-to-one measure. From the figure on the left to the one on the right the ratio of the one-to-one measure is 45/25 which reduces to 9/5.
Area is a squared measure. Once we have the perimeter reduced (we do), we square those perimeter measures to find the area ratio.
![(\frac{9}{5})^2=\frac{81}{25}](https://tex.z-dn.net/?f=%28%5Cfrac%7B9%7D%7B5%7D%29%5E2%3D%5Cfrac%7B81%7D%7B25%7D)
Responder:
26,62
Explicación paso a paso:
Sea x el dinero original que tenía el jugador:
si un jugador pierde en su primer juego el 30% de su dinero, la cantidad perdida será;
![= 30/100 \ of \ x\\= 0.3x](https://tex.z-dn.net/?f=%3D%2030%2F100%20%5C%20of%20%5C%20x%5C%5C%3D%200.3x)
Si en el segundo juego pierde el 50% de lo que perdió, entonces la cantidad perdida en el segundo juego será:
![= 50/100 \ of \ 0.3x\\= 0.5 \times 0.3x\\= 0.15x](https://tex.z-dn.net/?f=%3D%2050%2F100%20%5C%20of%20%5C%200.3x%5C%5C%3D%200.5%20%5Ctimes%200.3x%5C%5C%3D%200.15x)
Si en el tercer juego pierde el 40% de todo lo que ha perdido, la cantidad perdida en el tercer juego será:
![=\frac{40}{100} \ of \ (0.3x+0.15x) \\= 0.4(0.45x)\\= 0.2025x](https://tex.z-dn.net/?f=%3D%5Cfrac%7B40%7D%7B100%7D%20%5C%20of%20%5C%20%280.3x%2B0.15x%29%20%5C%5C%3D%200.4%280.45x%29%5C%5C%3D%200.2025x)
Si la cantidad que le queda para seguir apostando es de 37 soles, entonces para calcular la cantidad original que tiene, sumaremos toda la cantidad perdida y la cantidad restante y equipararemos la cantidad original x como se muestra:
0,3x + 0,15x + 0,2025x + 37 = x
0,6525x + 37 = x
x-0,6525x = 37
0,3475x = 37
x = 37 / 0,3475
x = 106,48
La cantidad que tenía originalmente era de 106,48
75% de 106,48
= 75/100 * 106,48
= 0,75 * 106,48
= 79,86
Tomando la diferencia entre su monto original y su 75% será:
![= 106.48-79.86\\= 26.62](https://tex.z-dn.net/?f=%3D%20106.48-79.86%5C%5C%3D%2026.62)
Answer:
By knowing the formulas for the volume of the solids.
Step-by-step explanation:
To find it out, you need to know the formula for the solids shown such as the cone and the cylinder. The formula for the cone is 1/3hπr². The formula for the cylinder is hπr².
If you were asking for the answers,
Cone:
![\frac{1}{3}*3.14*13*r^2=1959.36\\3.14*13*r^2=5878.08\\13*r^2=1872\\r^2=144\\r=12](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%2A3.14%2A13%2Ar%5E2%3D1959.36%5C%5C3.14%2A13%2Ar%5E2%3D5878.08%5C%5C13%2Ar%5E2%3D1872%5C%5Cr%5E2%3D144%5C%5Cr%3D12)
The radius for the cone is 12 inches.
Cylinder:
![h*3.14*20^2=4772.8\\h*20^2=1520\\h*400=1520\\h=3.8](https://tex.z-dn.net/?f=h%2A3.14%2A20%5E2%3D4772.8%5C%5Ch%2A20%5E2%3D1520%5C%5Ch%2A400%3D1520%5C%5Ch%3D3.8)
The height for the cylinder is 3.8 inches.
Answer:
Your answer is -6
Step-by-step explanation: