Area of circle = π · r²
9 π = π · r²
9 = r²
3 = r
Volume of sphere = (4/3)π · r³
= (4/3)π · (3)³
= 4π · 3²
= 4π · 9
= 36π
Answer: the volume of the sphere is 36π
Answer:
The sample size should be approximately 151.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 100
Population standard deviation, σ = 15
We have to evaluate the sample size, n.
Alpha, α = 0.10
Confidence interval:
Putting the values, we get,
Thus, the sample size should be approximately 151.
yes because 6 x 2.49=14.49 and that's less than 20 so you'll have a little over 5 dollars to spare.
Answer:
-7 < x
Name 2 values
0 and 10
Any number greater than -7 will work
Step-by-step explanation:
-4 < 2(x + 5)
Divide each side by 2
-4/2 < 2/2(x + 5)
-2 < (x + 5)
Subtract 5 from each side
-2-5 < x+5-5
-7 < x
Name 2 values
0 and 10
Any number greater than -7 will work
Answer:
Step-by-step explanation:
In ΔACB and ΔCAD,
AD║BC and AC is a transverse [Given]
∠BCA ≅ ∠DAC [Alternate interior angles]
AC ≅ AC [Reflexive property]
BC ≅ AD [Given]
ΔACB ≅ ΔCAD [By SAS property of congruence]
From the second figure,
In ΔJHG and ΔLKH,
JH ≅ LK [Given]
JG ≅ LH [Given]
GH ≅ HK [Given]
Therefore, ΔJHG ≅ ΔLKH [By SSS property of congruence]
