Answer:
25.13274125 in³
Step-by-step explanation:
The radius = 4 ± 0.1
height = 10
Volume of a cylinder = πr²h
Actual volume of the cylinder = π × 4² × 10
= 502.6548246
Maximum volume = π × 4.1² × 10
= 528.1017251
Minimum volume = π × 3.9² × 10
= 477.8362426
Average error = (528.1017251 - 477.8362426)/2
= 50.2654825/2
= 25.13274125 in³
The units are inches cubed.
#1
(-2,0)(0,1)
slope = (1-0)/(0+2) = 1/2
passing point (3,5)
y = mx + b
5 = 1/2(3) + b
5 = 3/2 + b
5 - 3/2 = b
7/2 = b or b = 7/2
equation
y = 1/2x + 7/2
Answer:
29
Step-by-step explanation:
There is a triangle embedded in triangle MNO, which is triangle PQO, and these are similar triangles in that their corresponding sides are always in the same ratio, which in this case is 2:1, as MP = MO due to the midpoint definition, and therefore MO is twice as long as MP. Same for NO and QO.
Now that we know the ratio, we can set 6x-4 = 2(-5x+64)
6x-4 = -10x +108
16x = 112
x = 7
Plug x back in for PQ, -5(7)+64 = 29
Answer:
5.1 cm
Step-by-step explanation:
The equation for the circumference of a circle is 2πr or πd.
So, we can plug in 16 and 3.14 to get 16 = 3.14×diameter.
Divide both sides by 3.14 to get approximately 5.1 cm.
Hope that helps! :)
<u>Answer:</u>
The correct answer option is B. Construct the perpendicular bisector of each side of the triangle.
<u>Step-by-step explanation:</u>
We are given that a student wants to construct a circumscribed circle of a triangle and we are to determine whether which of the given answer options is the first step he should take.
The student needs to first construct the perpendicular bisector of each side of the triangle.
The perpendicular bisectors of each side of the triangle are constructed such that they meet at the center of the circumbscribed circle.
