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:
x=-4.73 x=-1.27
Step-by-step explanation:
(x + 3)^2 - 3 = 0
Add 3 to each side
(x + 3)^2 - 3 +3= 0+3
(x + 3)^2 = 3
Take the square root of each side
sqrt((x + 3)^2) =±sqrt( 3)
(x + 3) =±sqrt( 3)
Subtract 3 from each side
x + 3-3 =-3±sqrt( 3)
x = -3±sqrt( 3)
Approximating to 2 decimal places
x=-1.27 x=-4.73
Answer: 2102
Step-by-step explanation:
Answer:
The probability of missing the first metal-carrying person is P(x≤50)=0.395
Step-by-step explanation:
We define as success to: missing metal carrying detection.
p=0.01
P(x)=
We look for the probability when all metal carring people is detected so x=0
P(x≤50)=1-P(x=0)=
=0.395
the system has no solution.
Option C is correct.
Step-by-step explanation:
We need to solve the system of equations by substitution

Putting value of x from eq(2) into eq(1)

As as 0≠4is not true, we cannot find the value of y so the system has no solution.
Option C is correct.
Keywords: System of equations
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