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dedylja [7]
2 years ago
3

Encuentra la ecuación del siguiente enunciado. En una caja de cartón se empacan latas de atún. Al acomodarlas, resulta que caben

5 latas más a lo largo que a lo ancho y a lo alto caben 3 latas más que a lo ancho. ¿Cuántas latas caben en total en la caja?
1 punto

x+5 = x+3

(x) (x+5) (x+3)

x3 + 8x2 + 15x

x (x+5) = x + 3
Mathematics
1 answer:
GREYUIT [131]2 years ago
5 0

Answer:

x + (x + 3) + (x + 5)

Step-by-step explanation:

Sea x el número de latas que caben en el ancho.

Como hay 5 latas más que encajarán en la longitud, el número total de latas que encajarán en la longitud será (x + 5) latas

También caben tres latas más en la altura, la cantidad de latas que será (x + 3)

Así que ahora, el número total de latas que cabrán en la caja será;

x + (x + 3) + (x + 5)

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Erika is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She begins by assigning coordinates
klemol [59]

Answer:

Option C is the correct choice.

Step-by-step explanation:

We are given the coordinates of rectangle and we are asked to find the correct option that describes that diagonals JL and KM are congruent.

Since we that a rectangle have four right angles.

We will use Pythagorean theorem to prove that diagonals JL and KM are congruent.

In triangle KLM we can see that KL is b units long and LM is a units long. By Pythagorean theorem \sqrt(a^{2}+b^{2})=KM

In triangle JML we can see that JM is b units long and LM is a units long. By Pythagorean theorem \sqrt(a^{2}+b^{2})=JL

Therefore, we can see that \sqrt(a^{2}+b^{2})=KM=LM and option C is the correct choice.  

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2 years ago
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The price of a box of 15 cloud markers is $12.70. The price of a box of 42 cloud markers is $31.60. All prices are without tax,
stich3 [128]

Answer:  

Here, The price of one box having N markers = Price of N markers + packaging charge

Let M be the price of one Marker and P' be the price of packaging of one box which is same for any size.

Since, The price of a box of 15 cloud markers is $12.70.

That is , 15 M + P' = 12.70 ---------(1)

Also,  The price of a box of 42 cloud markers is $31.60,

That is, 42 M + P' = 31.60 ---------(2),

Equation (2) - Equation (1),

27 M = 18.90,

⇒ M = 0.7

By putting the value of P in equation (1),

We get,

10.5 + P' = 12.70 ⇒ P' = 2.2,

Thus, the price of one marker, M = 0.7

And, the price of packaging one box, P' = 2.2

Thus, the price of a box of 50 marker = 50 × M + P' = 50×0.7 + 2.2 = 35 + 2.2 = $ 37.2

And, the equation that shows the price(P) of a box of N markers,

P = 0.7 N + 2.2

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2 years ago
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Carlos has $690,000 he wants to save. If the FDIC insurance limit per depositor, per bank, is $250,000, which of these ways of d
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$230,000 in bank A, $240,000 in bank B, $220,000 in bank C

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What is the sum of the infinite geometric series?<br><br> mc010-1.jpg
ra1l [238]
You haven't provided the series, therefore, I can only help with the concept.

<u><em>For an infinite geometric series, we have two possibilities for the common ratio (r):</em></u>
for r > 1, the terms in the series will keep increasing infinitely and the only possible logic summation of the series would be infinity
for r < 1, the terms will decrease, therefore, we can formulate a rule to get the sum of the infinite series

<u><em>In an infinite series with r < 1, the summation can be found using the following rule:</em></u>
sum = \frac{a_{1} }{1-r}
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a₁ is the first term in the series
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2 years ago
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zysi [14]

Answer:

sin(30\°)*sin(60\°)=cos(60\°)*cos(30\°)

Step-by-step explanation:

we know that

sin(\alpha)=cos(\beta)

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so

sin(30\°)=cos(60\°)

sin(60\°)=cos(30\°)

Because

30\°+60\°=90\° -------> complementary angles

In this problem the product of

sin(30\°)*sin(60\°)

is equal to

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sin(30\°)*sin(60\°)=cos(60\°)*cos(30\°)

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