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Stells [14]
3 years ago
9

10

Mathematics
1 answer:
Margaret [11]3 years ago
7 0

Answer:

y=3x+19.

Step-by-step explanation:

1) according to the condition the line 't' is parallel to the line 's', it means, the equation of the line 't' is: y=3x+C, where C - unknown number.

2) in order to calculate the 'C', it need to substitute the given coordinates into the equation of the line 't', then:

-2=3*(-7)+C, ⇒ C=19.

3) if C=19 and the equation of the line 't' was y=3x+C, then it is possible to make up the full required equation:

y=3x+19.

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se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m cual es el a
qwelly [4]

Answer:

El área total a pintar será:

A_{tot}=25.2\: m^{2}

Step-by-step explanation:

Sabiendo el apotema y la longitu de los lados, podemos encontrar el área de un triangulo. Recordemos que, si trazamos rectas del centro del hexágono a los vértices, se formaran 6 triángulos equiláteros.

El área de un triángulo es:

A_{t1}=\frac{b*a}{2}

b es la longitud de la base (b=3 m)

a es la apotema, osea la altura del triangulo (a = 2.8)

A_{t1}=\frac{2.8*3}{2}

A_{t1}=4.2\: m^{2}

Ahora, solo debemos mutiplicar ese valor por 6 para determianr el área total de la pared.

A_{tot}=25.2\: m^{2}

Espero te haya sido util!

5 0
3 years ago
The population of a certain species of oak tree in a national forest declines each year by one-fourth. So, after each year, only
dolphi86 [110]

Answer: 25%

Step-by-step explanation: The question tells us that the population decreases by 1/4 every single year. That means, since 1/4 equals .25, the population decreases by 25% every year :)

7 0
3 years ago
Rewrite with only sin x and cos x.
aivan3 [116]

Answer:

cos x (2 sin x − 1)

Step-by-step explanation:

sin(2x) − cos x

Use double angle formula.

2 sin x cos x − cos x

Factor.

cos x (2 sin x − 1)

5 0
3 years ago
Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the
fiasKO [112]
It’s B I did this question and got the same answer
7 0
2 years ago
Which shows a correct order to solve this story problem? Kent and Curtis went to the state fair. They had to pay a total of $7.1
KiRa [710]
The problem is asking how much each person will need to pay. Simplifying the problem into an equation with variables (an algorithm) will greatly help you solve it:

S = Sales Tax = $ 7.18 per any purchase
A = Admission Ticket = $ 22.50 entry price for one person (no tax applied)
F = Food = $ 35.50 purchases for two people

We know the cost for one person was: (22.50) + [(35.50/2) + 7.18] =
$ 47.43 per person. Now we can check each method and see which one is the correct algorithm:

Method A)
[2A + (F + 2S)] / 2 = [ (2)(22.50) + [35.50 + (2)(7.18)] ]/ 2 = $47.43
Method A is the correct answer

Method B)
[(2A + (1/2)F + 2S) /2 = [(2)(22.50) + 35.50(1/2) + (2)7.18] / 2 = $38.55
Wrong answer. This method is incorrect because the tax for both tickets bought are not being used in the equation.

Method C)
[(A + F) / 2 ]+ S = [(22.50 + 35.50) / 2 ] + 7.18 = $35.93
Wrong answer. Incorrect Method. The food cost is being reduced to the cost of one person but admission price is set for two people.
6 0
3 years ago
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