¡Hola! Bienvenido a!
Vamos a sumar cuántas canicas tenemos en total.
12+11+17+5=45
Queremos hallar la probabilidad de elegir una canica que no sea azul. Observemos cuántas canicas no son azules.
12+11+5=28
Tendremos esta probabilidad sobre 48.
28/48
Al simplificar, obtenemos 7/12 o alrededor de 58.33%.
¡Espero que esto ayude!
Answer:
The correct statements are;
1) ΔBCD is similar to ΔBSR
2) BR/RD = BS/SC
3) (BR)(SC) = (RD)(BS)
Step-by-step explanation:
1) Since RS is parallel to DC, we conclude that;
∠BDC = ∠BRS (Angles formed on the same side of the transversal)
Furthermore;
∠BCD = ∠BSR (Angles formed on the same side of the transversal)
∠CBD = ∠CBD (Reflexive property)
Thus;
ΔBCD ~ ΔBSR by the Angle-Angle-Angle (AAA) similarity criterion.
2) Given that ΔBCD ~ ΔBSR, we obtain;
BC/BS = BD/BR → (BS + SC)/BS = (BR + RD)/BR = 1 + SC/BS = RD/BR + 1
1 + SC/BS = 1 + RD/BR thus, SC/BS = 1 + BR/RD - 1
SC/BS = RD/BR
By inverting both sides we find;
BR/RD = BS/SC
3) From BR/RD = BS/SC, we apply cross multiplication;
BR/RD = BS/SC leads to;
BR × SC = RD × BS → (BR)(SC) = (RD)(BS).
1. "The limit on John's credit card is defined by the function f(x)=15,000+1.5x," indicating that if John's monthly income is $5,000, he can spend a maximum of f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22,500 (dollars). As another example, if John's monthly income is $8,000, then he can spend up to f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars). 2. If we consider the maximum amount John can spend as y, it can be represented as y=15,000+1.5x. To express x, the monthly income, in terms of y, we rearrange this equation: y=15,000+1.5x results in 1.5x = y-15,000. Therefore, in functional notation, x is a function, referred to as g, based upon y, the maximum sum. Generally, we denote the variable of a function by x, so we redefine g as: This tells us that if the maximum amount that John can spend is $50,000, then his monthly income would be $23,333. 3. If John's limit is $60,000, his monthly income equals $30,000. Note: g is deemed as the inverse function of f because it reverses the actions of f.
In this scenario, we have the complex number:
1 + i
The corresponding pair is represented as:
root (2) * (cos (pi / 4) + i * sin (pi / 4))
By rewriting this, we have:
root (2) * (root (2) / 2 + i * (root (2) / 2))
(2/2 + i * (2/2))
(1 + i)
Answer:
option A shows a pair representing the same complex number
