Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Answer:
untere Tabelle gibt an, wie Oberfläche und Volumen der Pyramide berechnet werden. Grundsätzlich gilt:
Oberfläche = Grundfläche + Mantelfläche
Volumen = Grundfläche · Pyramidenhöhe : 3
Generell ist darauf zu achten, dass mit unterschiedlichen Höhenangaben gerechnet wird. Für die Berechnung der Oberfläche wird die Höhe der schrägliegenden Seitendreiecke benötigt (Grafik unten: ha; hb). Für die Berechnung des Volumens wird die Höhe der Pyramide benutzt (Grafik unten: h).
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ha = 5.83 cm
h = 5.00 cm
a = 6.00 cm
b = 6.01 cm
hb = 5.83 cm
V = 60.10 cm³
Ap = 106.11 cm²
AM = 70.05 cm²
AG = 36.06 cm²
– o + ← ↓ ↑ →
rechteckige Grundflächequadratische GrundflächeOberfläche = Grundfläche + Mantelfläche
OP = AG + AMOP = a · b + a · ha + b · hbOP = a² + a · ha · 2 Volumen = Grundfläche · h : 3
VP = AG · h : 3
VP = a · b · h : 3VP = a² · h : 3
Step-by-step explanation:
#semogamembantu
=(-17) - 4
=(-17) + (-4)
=(-21)
Answer:
AE = 60 units
Step-by-step explanation:
GE is one third the length of AE so...
GE = 1/3(AE)
20 = 1/3x
3(20) = (1/3x)3/1
60 = x
x = 60
AE = 60 units
