Answer:
17 ± sqrt(337)
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2
Step-by-step explanation:
Let a = shorter leg
b= longer leg = a+7
c = hypotenuse = 2a-5
We can use the Pythagorean theorem
a^2+b^2 = c^2
a^2 + (a+7)^2 = (2a-5)^2
(a+7)^2 = a^2 +7a +7a+49 = a^2 +14a +49
(2a-5)^2 = 2a*2a -10a -10a +25 = 4a^2 -20a +25
Substituting these into the equation
a^2 + (a^2 +14a +49) = (4a^2 -20a +25)
Combine like terms
2a^2 +14a +49 = 4a^2 -20a +25
Subtracting 2a^2 from each side
2a^2 -2a^2 +14a +49 = 4a^2-2a^2 -20a +25
+14a +49 = 2a^2 -20a +25
Subtract 14a from each side
-14a+14a +49 = 2a^2 -20a -14a+25
+49 = 2a^2 -34a +25
Subtract 49 from each side
49-49 = 2a^2 -34a +25-49
0 = 2a^2 -34a -24
Divide each side by 2
0/2 = 2/2a^2 -34/2a -24/2
0 = a^2 -17a -12
Using the quadratic formula
a=1 b= -17 c = -12
17 ±sqrt( (-17)^2 - 4(1)(-12))
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2(1)
17 ± sqrt(337)
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2
Answer:
the answer is A) h=3V/(Pi*r^2)
Step-by-step explanation:
This question is asking to solve for h, the equation is allready solved for V.
to solve for h means to get h by itself on one side of the equation.
1) V=(1/3)*pi*r^2*h. Divide 1/3*pi*r^2 to the other side of the equation
2) V/(1/3)*pi*r^2=h. 1/3 on the bottom denominator means we can multiply the reciprocal to the bottom and the top and get an equivalent answer. In short, move the 3 from the 1/3 onto the top.
3) (3*V)/(pi*r^2)=h. Simplify.
4) 3V/(Pi*r^2)=h.
Answer:
Step-by-step explanation:
AC = 50 cm
BC = 14 cm
Pythagorean theorem,
AB² + BC² = AC²
AB² + 14² = 50²
AB² + 196 = 2500
AB² = 2500 - 196
AB² = 2304
AB = √2304
AB = 48 cm
The answer is 8 × 10² km.
Volume of the cube with edge a is: V = a³
1 mole = V = a³
1 mole = 6.02 × 10²³ cm³
a = ?
a = ∛6.02 × 10²³ cm³ = 84 436 877 cm
1 km = 1 000 000 cm
1 cm = 0.000001 km
a = 84 436 877 cm = 844 km = 8.44 × 100 km = 8.44 × 10² km ≈ 8 × 10² km
