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Hatshy [7]
2 years ago
8

60

Mathematics
1 answer:
weeeeeb [17]2 years ago
5 0

sin = y / r

sin = -60 / 61

y = -60

r = 61

x = ?

---To find x, we'll use the Pythagorean theorem.

60^2 + x^2 = 61^2

3600 + x^2 = 3721

x^2 = 121

x = 11

Quadrant 3 is (-, -) = x and y coordinates are both negative.

Therefore, x = -11.

cos = x / r

x = -11

r = 61

cos = -11 / 61

Hope this helps!

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Phân tích : x^3+2x^2y+xy^2-9x
Galina-37 [17]

Answer:

x(x+y+3)(x+y-3)

Step-by-step explanation:

x³+2x²y+xy²-9x

= x((x²+2xy+y²)-3²)

= x((x+y)² - 3²)

= x(x+y+3)(x+y-3)

3 0
3 years ago
13x^-5 y^0/5^-3 z^-10
VMariaS [17]

Answer:

\frac{1625z^{10}}{x^{5}}

Step-by-step explanation:

We want to simplify:

\frac{13x^{-5}y^0}{5^{-3}z^{-10}}

We rewrite as positive index to get:

\frac{13y^05^{3}z^{10}}{x^{5}}

This simplifies to

\frac{13*1*125z^{10}}{x^{5}}

This will finally give us:

\frac{1625z^{10}}{x^{5}}

We cannot simplify further.

Hence the simplest form is \frac{1625z^{10}}{x^{5}}

7 0
3 years ago
as a sales person at Trending Card Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sel
Amiraneli [1.4K]

Answer:

  $1025

Step-by-step explanation:

We can use the 2-point form of the equation of a line to write a function that gives Justin's salary as a function of his sales.

We start with (sales, salary) = (400, 500) and (700, 575)

__

The 2-point form of the equation of a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  salary = (575 -500)/(700 -400)(sales -400) +500

  salary = 75/300(sales -400) +500

For sales of 2500, this will be ...

  salary = (1/4)(2500 -400) +500 = (2100/4) +500 = 1025

Justin's salary after selling $2500 in merchandise is $1025.

5 0
3 years ago
If BC = 2x, CD = 7x, and BD = 9, what is CD?
Paha777 [63]

Answer: 18

Step-by-step explanation:

2(9)=18

8 0
3 years ago
Liquid A and liquid B are mixed to make liquid C.
natta225 [31]

Answer:

Density is defined as:

Density = mass/volume.

We know that:

For liquid A:

Density = 70kg/m^3

Mass = 1400kg

Then the volume is:

Volume = mass/density = (1400kg)/(70kg/m^3) = 20 m^3

For liquid B:

Density = 280 kg/m^3

Volume = 30m^3

We can find the mass of liquid B as:

mass = density*volume = (280kg/m^3)*(30m^3) = 8400 kg

We know that liquid C is a mixture of liquid A and B.

Then the mass of liquid C will be equal to the sum of the masses of liquid A and B, then:

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The same happens for the volume, then:

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Then the density of liquid C is:

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6 0
3 years ago
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