Here it is given that AB || CD
< EIA = <GJB
Now
∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)
∠EIA ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)
∠IKL + ∠IKC 180° and ∠DLH + ∠JLD =180° (Linear Pair Theorem)
So
m∠IKL + m∠IKC = 180° ....(1)
But ∠IKC ≅ ∠JLD
m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)
So we have
m∠IKL + m∠JLD = 180°
∠IKL and ∠JLD are supplementary angles.
But ∠DLH and ∠JLD are supplementary angles.
∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)
Use the Pythagorean theorem to find the diameter:
Diameter = √(19.3^2 - 9.5^2)
Diameter = √(372.49 - 90.25)
Diameter = √282.24
Diameter = 16.8 m
Volume of a cylinder = PI x r^2 x h
r = 1/2 diameter = 16.8 /2 = 8.4
h = 9.5 m
Volume = PI x 8.4^2 x 9.5
= PI x 70.56 x 9.5
= PI x 670.32
In terms of PI volume = 670.32PI
As a decimal:
670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)
A. 1/10000 because it is a 1/100 chance for each.
b. 1/100 because there are 10,000 options and 100 of them are the same options. Simplify for the answer.
<u>Answer:</u>
<h2>SA = 84 ft²</h2>
<u>Explanation:</u>
SA = the area of one side of the pyramid times 4 + the area of the base of the pyramid
Area of a triangle = (height × base)/2
Area of a sqaure = lenght²
given:
h = 4 ft | b = 6 ft | l = 6 ft
SA = 4(h×b×1/2) + l²
SA = 4(4×6×1/2) + 6²
SA = 4×12 + 36
SA = 48 + 36
SA = 84 ft²
Answer:
u have to use the almighty formula
