Answer:
Volume of cuboid = 300 in³
Surface area of cuboid = 280 in²
Step-by-step explanation:
Given:
Length = 10 in
Width = 5 in
Height = 6 in
Find:
Volume of cuboid
Surface area of cuboid
Computation:
Volume of cuboid = [L][B][H]
Volume of cuboid = [10][5][6]
Volume of cuboid = 300 in³
Surface area of cuboid = 2[lb][bh][hl]
Surface area of cuboid = 2[(10)(5) + (5)(6) + (6)(10)]
Surface area of cuboid = 2[50 + 30 + 60]
Surface area of cuboid = 2[140]
Surface area of cuboid = 280 in²
Answer:
-4
Step-by-step explanation:
-4(3) = -12
-12 + 8 = -4
The focal length of the given ellipse is given as (±6, 0)
<h3>Equation of an ellipse</h3>
An ellipse is defined as a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant or when a cone is cut by an oblique plane which does not intersect the base.
The standard equation of an ellipse is expressed as;
x^2/a^2 + y^2/b^2 = 1
The formula for calculating the focus of the ellipse is given as:
c^2 = b^2 - a^2
Given the equation of an ellipse
(x-7)^2/64 + (y-5)^2/100 = 1
This can also be expressed as:
(x-7)^2/8^2 + (y-5)^2/10^2 = 1
Comparing with the general equation
a = 8 and b = 10
Substitute
c^2 = 10^2 - 8^2
c^2 = 100 - 64
c^2 = 36
c = 6
Hence the focal length of the given ellipse is given as (±6, 0)
Learn more on focus of ellipse here; brainly.com/question/4429071
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Step-by-step explanation:
we can solve this by Adding all points so you said that all are collinear points which means all points are in one line so this is solved as
= X+5+2X+10+4X=78
=7X+15=78. ....collecting like terms
=7x=78-15
=7x=63. divide both sides with 7
=x=9
So now All sides are solved
●AB=x+5
AB=9+5=14
●BC=2X+10=2(9)+10
BC=28
●CD=4X
CD=4(9)
CD=36
so AB+BC+CD=AD
14+28+36=78
True!!
Thanks in Advance
Nahom Wondale
Answer:
(x+11)(x-11)
Step-by-step explanation:
