Answer:
1
Step-by-step explanation:
1 because we need to round down
Answer:
288 pi or 904.22
Step-by-step explanation:
(4/3) × pi × r³
(4/3) × pi × 6³
288pi or
288 × 3.14 = 904.32 units³
Answer:
y = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1,2) and (x₂, y₂ ) = (4, y)
m = 
, hence
= - 
( cross- multiply )
5(y - 2) = - 20 ( divide both sides by 5 )
y - 2 = - 4 ( add 2 to both sides )
y = - 2
coordinates of point are (4, - 2)
<h3>
Answer: 161 degrees</h3>
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Explanation:
Line AE is a tangent while line AU is a secant. The angle formed by the secant and tangent lines connects with the arcs through this formula
secant tangent angle = (larger arc - smaller arc)/2
More specifically, we can say:
angle EAI = (arc EU - arc IE)/2
42 = ( (7m+5) - (3m-1) )/2
42*2 = (7m+5) - (3m-1)
84 = 7m+5 - 3m+1
84 = 4m+6
4m+6 = 84
4m = 84-6
4m = 78
m = 78/4
m = 39/2
m = 19.5
Use this value of m to compute each arc
- arc IE = 3m-1 = 3*19.5-1 = 57.5 degrees
- arc EU = 7m+5 = 7*19.5+5 = 141.5 degrees
Let's say arc IU is some unknown number x. It must add to the other two arc measures to form 360 degrees, which is a full circle.
(arc IU) + (arc IE) + (arc EU) = 360
x + 57.5 + 141.5 = 360
x + 199 = 360
x = 360-199
x = 161
The measure of minor arc IU is 161 degrees
