Answer:
12
Step-by-step explanation:
Writing the equation, we get
2x - 9 = x + 3
2x -x = 9+3
x = 12.
It's approx. 8.2462... So rounding to the nearest tenth, it will be 8.2 :)
Answer: The approximate total volume of the silo is 116.5 m3
Step-by-step explanation:
Hi, the volume of the silo is equal to: volume of the cylinder + volume of the hemisphere:
Volume of the cylinder:
V = π x r²x h
Where:
R = radius (in this case, to obtain the radius we have to divide the diameter by two since radius = diameter /2)
h = height
Replacing with the values given:
V = π x r²x h = 3.14 x (4.4/2) ²6.2= 3.14 x (2.2)²x 6.2 = 94.22512 m3
And for the hemisphere:
Volume of the hemisphere: 2/3 x π x r3
Replacing with the values given;
v= 2/3 x 3.14 x 2.2∧3= 22.28m3
Finally, adding both results:
Volume of the silo = volume of the cylinder + volume of the hemisphere:
94.22 m3+ 22.28m3 = 116.5 m3
Answer:
x=8
Step-by-step explanation:
I-4xI=32
4x=32
4x÷4 → 32÷4
=8 →x=8
The circle's equation tells us that it is centered at the origin and that the radius is the square root of 5, which in numbers is 2.23 rounded. That means that any points within that radius are inside the circle and any points outside that radius are outside the circle, which tells us our answers to A and C. A is well within the radius at (-1,1) and C is way outside at (4, -8). Now let's look at B. We have our equation and we also have a radius squared of 5, so let's fit the x and the y values of the point (-2, 1) into that equation and see if what we get is equal to the radius squared that they give us.
If
then
should = 5. It does, so that coordinate for B lies directly on the circle.