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Answer:
59)
Therefore the height of the pyramid is 14 meter.
60)
Therefore the Diameter of Cone is 17.32 cm.
Step-by-step explanation:
59 )
Given:
Shape is Rectangular Pyramid,
Length = 3 meter
Width = 8 meter
Volume of Rectangular Pyramid = 112 cubic meter
To Find:
Height:
Solution:
We Know,

Substituting the given values we have

Therefore the height of the pyramid is 14 meter.
60 )
Thee shape is of Cone
Given:
Height= 5 cm
Volume of cone = 125 π cm³
To Find:
Diameter of a cone = d = ?
Solution:
We know,

Substituting the given values we have

Therefore the Diameter of Cone is 17.32 cm.
Answer:
A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center. hope this helps
Step-by-step explanation:
- Zombie
Answer:
Step-by-step explanation:
4) ΔSTW ≅ ΔBFN . So, corresponding parts of congruent triangles are congruent.
a) BN = SW d) m∠W = m∠N
BN = 9 cm m∠W = 82°
b) TW = FN e) m∠B = m∠S
TW = 14 cm m∠B = 67°
c) BF = ST f) m∠B + m∠N + m∠F = 180°
BF = 17 cm 67 + 82 + m∠F = 180
149 + m∠F = 180
m∠F = 180 - 149
m∠F = 31°
5) ΔUVW ≅ ΔTSR
UV = TS
12x - 7 = 53
12x = 53+7
12x = 60
x = 60/12
x = 5
UW =TR
3z +14 = 50
3z = 50 - 14
3z = 36
z = 36/3
z = 12
SR =VW
5y - 33 = 57
5y = 57 + 33
5y = 90
y = 90/5
y = 18
7) ΔPHS ≅ ΔCNF
∠C = ∠P
4z - 32 = 36
4z = 36 + 32
4z = 68
z = 68/4
z = 17
∠H = ∠N
6x - 29 = 115
6x = 115 + 29
6x = 144
x = 144/6
x = 24
∠P + ∠H + ∠S = 180 {Angle sum property of triangle}
36 +115 + ∠S = 180
151 + ∠S = 180
∠S = 180 - 151
∠S = 29°
∠F = ∠S
3y - 1 = 29
3y = 29 + 1
3y = 30
y = 30/3
y = 10
8) ΔDEF ≅ ΔJKL
DE = 18 ; EF = 23
DF = 9x - 23
JL= 7x- 11
DF = JL {Corresponding parts of congruent triangles}
9x - 23 = 7x - 11
9x - 7x - 23 = -11
2x - 23 = -11
2x = -11 + 23
2x = 12
x = 12/2
x = 6
JK = DE {Corresponding parts of congruent triangles}
3y - 21 = 18
3y = 18 + 21
3y = 39
y = 39/3
y = 13
Answer:
The expression is not factorable
Step-by-step explanation: