Answer:
10\pi[/tex]
Step-by-step explanation:
Circunferencia de un círculo = Pi veces diámetro
como el diámetro es igual a la mitad del radio, sabemos que si multiplicamos el radio por dos obtendremos el diámetro del círculo. Por lo tanto, 5 veces 2 = 10. Ahora hacemos 10 veces pi. El cual es 10 pi o 31.4159
Circumference of a circle = Pi times diameter
since the diameter is equal to half the radius, we know that if we multiply the radius by two we will obtain the diameter of the circle. Therefore, 5 times 2 = 10. Now we do 10 times pi. Which is 10 pi or 31.4159
Answer: x = -3
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
Step-by-step explanation:
Pythagorean theorem,
hypotenuse²= base² + altitude²
base² = hypotenuse² - altitude²
x² = 14² - 9²
= 196 - 81
= 115
x = √115
x = 10.72
Answer:
1) B=-12
2) 189.69
Step-by-step explanation:
Explanation 1: To find B, we have to replace the given points in the equation, that is , x=2 and y=1
![3x+By+6=0\\3.2+B.1+6=0](https://tex.z-dn.net/?f=3x%2BBy%2B6%3D0%5C%5C3.2%2BB.1%2B6%3D0)
Then we solve for B.
![6+B+6=0\\B+12=0\\B=-12\\](https://tex.z-dn.net/?f=6%2BB%2B6%3D0%5C%5CB%2B12%3D0%5C%5CB%3D-12%5C%5C)
Hence , B=-12
explanation 2: you have the following equation for the number of liters 3% milk:
![0.03+0.1(200)-x=0.05(200)](https://tex.z-dn.net/?f=0.03%2B0.1%28200%29-x%3D0.05%28200%29)
Solve the previous equation for x:
![0.03x+20-x=10](https://tex.z-dn.net/?f=0.03x%2B20-x%3D10)
![0.03-x=10-20\\-0.97x=-10\\x=10.31](https://tex.z-dn.net/?f=0.03-x%3D10-20%5C%5C-0.97x%3D-10%5C%5Cx%3D10.31)
Hence , there are 10.31 liters of 3% milk
Add the numbers of liters 10% butterfat is :
![200-10.31=189.69 liters](https://tex.z-dn.net/?f=200-10.31%3D189.69%20%20liters)
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