Answer:
a) 1.
Step-by-step explanation:
Supongamos que el primer número entero positivo es a tal que a ∈ Z⁺.
Luego, el conjunto de los cinco enteros positivos se puede expresar como
A = {a; a+1; a+2; a+3; a+4}
Dada la condición del problema, se debe cumplir que
a + (a+1) + (a+2) = (a+3) + (a+4)
⇒ 3a + 3 = 2a + 7
Resolviendo la ecuación resulta
a = 4
Luego, el conjunto A nos resulta
A = {4; 5; 6; 7; 8}
Puede concluirse que sólo un conjunto cumple con esta condición.
That is the Community Property of Multiplication.
Hope that helps :)
Divide 6 1/3 by 3/4
first, convert 6 1/3 to an improper fraction
6 1/3 --> 19/3
make the denominators match
19/3 --> 76/12
3/4 --> 9/12
then multiply 76/12 by the reciprocal of 9/12 (which is 12/9)
cross reduce, you get 76/9
convert back to a mixed number
76/9 --> 8 4/9
it would take 9 loads
Answer:
Step-by-step explanation:
the question is asking for the length of the side labeled x
use Pythagoras' theorem to find that side
where c = x because c represents the hypotenuse in the theorem and x is on the hypotenuse in this problem
c = 
sooo plug in a = 14 and b = 10
c = 
c = 
c = 
c= 17.20465..... ( that's the approx. length of side x in the problem )
since this is a right triangle we could use trigonometry to find the two angles use SOH CAH TOA to remember how those functions fit on the triangle.
Sin(Ф)=Opp/Hyp Cos(Ф)=Adj/Hyp Tan(Ф)=Opp/Adj
since we know the Hyp (hypotenuse) and the side adjacent will be the side with the 10 soooo...
Cos(Ф)=10/17.20465
Ф = arcCos(10/17.20465)
Ф = 54.4623° is the angle on the side with 10
the side with 14 then has an angle of 35.5376°
:)
<h2><em>Answer: The x-intercept represents the number of sales when no money has been raised.</em></h2>
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