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Ymorist [56]
3 years ago
9

Are m<1 and m<3 equal? Why or why not?

Mathematics
1 answer:
Stells [14]3 years ago
7 0
Yes they are equal.

∠1 + 50 = 180
∠3 + 50 = 180

∠1 = 130
∠3 = 130

Hope this helps :)
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There were 99 tulips in the field. Only 3/9 bloomed. How many tulips bloomed? How many did not bloom?
Ratling [72]

Answer: 33 tulips bloomed / 66 tulips did not bloom

Step-by-step explanation:

<h2>Given:</h2>

Total number of tulips = 99

Total number of tulips bloomed = 3/9 of total

<h2>Solve:</h2>

Step One: Find the number of tulips that bloomed

99 × (3/9) = 99 × (1/3) = 33 tulips

Step Two: Find the number of tulips that did not bloom

99 - 33 = 66 tulips

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
F (x) = √2X-6<br> What is f(5)?
inessss [21]

Answer:

f(5) = 2

Step-by-step explanation:

<u>Given: </u>

  • Function f(x) = \sqrt{2x - 6}

<u>For x=5 :</u>

  • f(5) = \sqrt{2*5 - 6} = \sqrt{4} = 2
7 0
3 years ago
A bank pays 5% interest compounded annually. What principal will grow to $12,000 in 10 years.
makvit [3.9K]
<h3>Answer: 7366.96 dollars</h3>

========================================================

Use the compound interest formula:

A = P(1+r/n)^(n*t)

where in this case,

A = 12000 = amount after t years

P = unknown = deposited amount we want to solve for

r = 0.05 = the decimal form of 5% interest

n = 1 = refers to the compounding frequency (annual)

t = 10 = number of years

-------

Plug all these values into the equation, then solve for P

A = P(1+r/n)^(n*t)

12000 = P(1+0.05/1)^(1*10)

12000 = P(1.05)^(10)

12000 = P(1.62889462677744)

12000 = 1.62889462677744P

1.62889462677744P = 12000

P = 12000/1.62889462677744

P = 7366.95904248911

P = 7366.96

6 0
3 years ago
A square rug has an area of 100 square feet. What is the length of one side of the rug?
Usimov [2.4K]

Answer:

10 ft

Step-by-step explanation:

Square root of 100 = 10

4 0
3 years ago
Read 2 more answers
La densidad de un líquido es de 1.5 gr/cm3 su masa es de 7 libras Determina la cantidad de litros que ocupan dichos líquidos
egoroff_w [7]

Answer:

<em>La cantidad de litros que ocupa dicho líquido es:</em>

  • <u>2,12 Litros</u>

Step-by-step explanation:

<em>El volumen de un líquido puede obtenerse al tener tanto su densidad como su masa usando la siguiente fórmula:</em>

  • <em>Densidad = masa / volumen</em>

<em>Al despejar volumen se obtiene:</em>

  • <em>Volumen = masa / densidad </em>

<em>Por lo cual, si se reemplazara la fórmula quedaría:</em>

  • <em>Volumen = 7 Lb / 1.5 gr/cm^3</em>

<em>Sin embargo, </em><u><em>para operar, las unidades en las que se expresa la masa deben coincidir con las unidades de la densidad</em></u><em>, por lo cual vamos a convertir las libras en gramos teniendo en cuenta el siguiente factor de conversión:</em>

<em>1 libra = 453,592 gramos</em>

<em>Entonces:</em>

<em>7 lb =  453,592 gr * 7 = 3175,144 gr</em>

<em>Ahora este valor reemplaza la masa en la fórmula y calculamos:</em>

  • <em>Volumen del líquido =  3175,144 gr / 1.5 gr/cm^3</em>
  • <u><em>Volumen del líquido = 2116,762667 cm^3</em></u><em> (He utilizado todos los decimales para obtener el resultado exacto).</em>

<em>A simple vista ya se tiene el volumen del líquido en cuestión, sin embargo, el ejercicio pide que sea expresado en litros, por lo cual vamos a convertir los centímetros cúbicos en litros teniendo en cuenta el siguiente factor de conversión:</em>

<em>1 litro = 1000 centímetros cúbicos.</em>

<em>Ahora podemos aplicar una regla de tres simple, si:</em>

  • <em>1000 cm^3 = 1 L</em>
  • <em>2116,762667 cm^3 = x</em>

<em>Y operamos:</em>

  • <em>x = (2116,762667 cm^3 * 1 L) / 1000 cm^3</em>
  • <u><em>x = 2,116762667 L</em></u>

<em>O si quieres un valor aproximado:</em>

  • <u><em>x = 2,12 Litros.</em></u>

<em>Entonces, la cantidad de litros teniendo en cuenta la densidad y la masa brindadas es </em><u><em>2,12 litros</em></u><em>.</em>

8 0
3 years ago
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