Answer:
The answer is,surface area= ✓<u>416</u>
Complete the square:
<span>y = 3x^2 - 12x + 4 </span>
<span>y = 3(x^2 - 4x) + 4 </span>
<span>y = 3(x^2 - 4x + 4 - 4) + 4 </span>
<span>y = 3(x^2 - 4x + 4) - 12 + 4 </span>
<span>y = 3(x - 2)^2 - 8</span>
Answer:
The circle has an area of about 1385 square mm.
Step-by-step explanation:
Let's recall that circles have an area that can be found with the following formula:

where r is the radius of the circle.
Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.

So, to the nearest whole number, the area of the circle is 1385 square mm.
Can you post the scale drawing please so I can help you
Answer: 8/35 is the exact answer as a fraction; approximately that is equal to 0.22857 (rounded to 5 decimal places)
Work Shown:
The volume of this prism is equal to the length times width times height. We multiply the three fractions out. To do this, multiply straight across. The numerators group up and multiply. The denominators form a separate group to multiply.
Multiply the numbers up top (numerators): 2*3*4 = 6*4 = 24
Multiply the numbers in the bottom (denominators): 3*5*7 = 15*7 = 105
We end up with 24/105. We can divide both numbers by 3 to reduce the fraction (note how 3 is a factor of each multiplication above)
24/3 = 8
105/3 = 35
So that's how I got 8/35
If you want to convert to decimal form, then 8/35 = 0.22857 approximately.