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3 years ago

A board game for $29.95 at 8% sales tax

Mathematics

2 answers:

Paha777 [63]3 years ago

4 0

You would do $29.95 times .08(%)
Hope this was a successful answer!

son4ous [18]3 years ago

3 0

$27.55

29.95 x 8% (aka .08) = 2.396

29.95- 2.396 = 27.55

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De acuerdo con la tercera ley de movimiento planetario de Kepler, la masa de un planeta es directamente proporcional al cubo de

Sunny_sXe [5.5K]

Answer:

La masa del Sol es $2.509\times 10^{31}$ kilogramos.

Step-by-step explanation:

Tras una lectura cuidadosa al enunciado, tenemos que la Tercera Ley de Kepler queda descrita por la siguiente relación:

$M \propto \frac{r^{3}}{T^{2}}$

$M = k\cdot \frac{r^{3}}{T^{2}}$ (Eq. 1)

Donde:

$r$ - Distancia entre los centros del planeta y el satélite, medido en kilómetros.

$T$ - Período oribital del satélite, medido en días.

$k$ - Constante de proporcionalidad, medida en kilogramo-días cuadrados por kilómetro cúbico.

$M$ - Masa del planeta, medida en kilogramos.

Podemos obtener la masa del Sol mediante la siguiente relación:

$\frac{M_{S}}{M_{E}} = \frac{\frac{r_{E}^{3}}{T_{E}^{2}} }{\frac{r_{M}^{3}}{T_{M}^{2}} }$

$\frac{M_{S}}{M_{E}} = \left(\frac{T_{M}}{T_{E}} \right)^{2}\cdot \left(\frac{r_{E}}{r_{M}} \right)^{3}$ (Eq. 2)

Donde:

$T_{M}$ , $T_{E}$ - Períodos orbitales de la Luna y la Tierra, medidos en días.

$r_{E}$ , $r_{M}$ - Distancias entre la Tierra y el Sol, así como entre la Luna y la Tierra, medidas en kilómetros.

$M_{S}$ , $M_{E}$ - Masas del Sol y la Tierra, medidos en kilogramos.

Si $M_{E} = 75.97\times 10^{24}\,kg$ , $T_{E} = 365.3\,d$ , $T_{M} = 27.3\,d$ , $r_{M} = 3.84\times 10^{5}\,km$ y $r_{E} = 1.496\times 10^{8}\,km$ , entonces tenemos que la masa del Sol es:

$M_{S} = \left(\frac{T_{M}}{T_{E}} \right)^{2}\cdot \left(\frac{r_{E}}{r_{M}} \right)^{3}\cdot M_{E}$

$M_{S} = \left(\frac{27.3\,d}{365.3\,d} \right)^{2}\cdot \left(\frac{1.496\times 10^{8}\,km}{3.84\times 10^{5}\,km} \right)^{3}\cdot (75.97\times 10^{24}\,kg)$

$M_{S} = 2.509\times 10^{31}\,kg$

La masa del Sol es $2.509\times 10^{31}$ kilogramos.

7 0

3 years ago

A) find a cartesian equation for the curve described by the given polar equation. r =3 sin g

Radda [10]

Recall that r^2 = x^2 + y^2, so that r = sqrt(x^2+y^2).

y
r = 3 sin g becomes sqrt(x^2+y^2) = 3*-----------------------
sqrt(x^2+y^2)

Squaring both sides,

9y^2
x^2+y^2 = -----------------
x^2 + y^2

If this is correct (and I'm not convinced that it is), then (x^2+y^2)^2 = 9y^2
shows the relationship between x and y. Can anyone improve on this result?

6 0

3 years ago

tonya earned $5.00 she put half of the money into savings and kept the rest to spend.she bought a toy for $2.00.how much spendin

nalin [4]

Answer:

50 cents

Step-by-step explanation:

half of 5.00$ is 2.50$

6 0

3 years ago

I'm helping someone with her daughter's homework. What is the term for this definition: take a part a number to write it in a ne

mihalych1998 [28]

Answer:

hello mate.. i am glad ur helping someone for her hw.. nice nice

well as per my understanding

'' take apart a number to write it in a new way ''

this answer must be '' subtraction''

as in subtraction we take apart number and resulting number is new way of writing the difference of first 2 ....

go on.. help more ppl ... we are here to support

8 0

2 years ago

Which is the correct operation for 45-3x5

Sliva [168]

You want to use PEMDAS for this.
P= arenthesis ( )
E= xponents a²
M= ultiply ×
D= ivide ÷
A= dd +
S= ubtract -

What you want to do is go in order and ask yourself as you go.
Are there any Parenthesis? No
Are there any Exponents? No
Is there any Multiplication? Yes
Is there any Division? No
Is there any Addition? No
Is there any Subtraction? Yes
Thats when you stop and you multiply what you have in the PEMDAS. Top to bottom. 3x5 which gives you 15. Now you equation is 45-15. Thats when you subtract and you get your answer which is 30.

6 0

3 years ago