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Answer:

Step-by-step explanation:

Use the half angle formulas

sin(θ/2) = ±√((1 - cosθ)/2)

sin(θ/2) = ±√((1 - (3/5))/2)

sin(θ/2) = ±√((2/5)/2)

sin(θ/2) = ±√(1/5)

knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.

sin(θ/2) = +√(1/5) = √0.2

5 bombas deben trabajar durante 4 dias para llenar la piscina.

Cada bomba trabaja a un rate (razon de trabajo) R.

Sabemos que 3 bombas, trabajando 5 horas diarias por 10 días (un total de 50 horas), llena una piscina, entonces:

(3R)*50 horas= 1 piscina.

R = (1 piscina)/(150 horas).

Es decir, una sola bomba tarda 150 horas en llenar una piscina.

En el caso de que 5 bombas trabajen, tenemos que para llenar una piscina tienen que trabajar un tiempo T.

5*((1 piscina)/(150 horas))*T = 1 piscina.

(1 piscina)/(30 horas)

Resolviendo para T, obtenemos:

T = 1 piscina*(30 horas)/(1 piscina) = 30 horas.

Y sabemos que trabajan 8 horas diarias, es decir, las bombas deben trabajar durante:

30/8 = 3.75 ≈ 4 días.

5 bombas deben trabajar durante 4 dias para llenar la piscina.

Sí quieres aprender más sobre razones de trabajo.

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Answer:

Step-by-step explanation:

Let's evaluate the expression,

→ (25^-3/2)^1/3

→ 25^-3/2×1/3

→ 25^-3/6

→ 5^-1/2×2

→ 5^-1 {or} 1/5

Hence, the answer is 1/5.

Answer:

a trapezoid:ll and a dented triangle:l

Answer:

The circumference of a circle is the distance around the entire circle, while arc length, s, is the distance between two points on the circle.

C = 2πr = 2π( 5 ) = 10π ≈ 31.4 units

3.14 is an approximation for π.

s = θ/360° (C)

mAB = 60°/360° ( 31.4)

= 1/6(31.4) ≈5.2 units

Answer:

3 / (3t+4) is the answer

2x ( x - 2x) = 1

2x= 1

x = 0.5

x-2x = 1

-x = 1

x = -1

Answer:

1 11/12 cups of water

Answer: 18

Step-by-step explanation:

The question is asked to know 30% of 60, we get

60 x 30% = 60 x 0.3 = 18

Answer:

18

Step-by-step explanation:

We know that 30% means 30/100

30/100 multiplied by 60

hence, the answer is 18

Answer:

Step-by-step explanation:

As RS is a straight line sin ∠RUT = sin ∠SUT

line UT bisects ∠RTS

Let θ be ∠UTR and ∠UTS

Law of sines

Left side triangle

3x/sinθ = 40/sinRUT

sinRUT = 40sinθ / 3x

Right side triangle

(x + 2) / sinθ = 16 / sinSUT

(x + 2) / sinθ = 16 / (40sinθ / 3x)

(x + 2)(40sinθ / 3x)  = 16sinθ

(x + 2)(40sinθ)  = 48xsinθ

40xsinθ + 80sinθ = 48xsinθ

40x + 80 = 48x

80 = 8x

x = 10

Answer:

Where is the questions picture so I know what I am about to answer

Step-by-step explanation:

I need a pic.

Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

[tex]\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1} \\=\frac{-\left(-2\right)\pm \:6i}{2\cdot \:1}\\x_1=\frac{-\left(-2\right)+6i}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-6i}{2\cdot \:1}\\\frac{-\left(-2\right)+6i}{2\cdot \:1}\\ =\frac{2+6i}{2\cdot \:1}\\=\frac{2+6i}{2}\\=\frac{2\left(1+3i\right)}{2}\\1+3i\\\\\\frac{-\left(-2\right)-6i}{2\cdot \:1}\\=\frac{2-6i}{2\cdot \:1}\\=\frac{2-6i}{2}\\=\frac{2\left(1-3i\right)}{2}\\1-3i\\x=1+3i,\:x=1-3i[/tex]

Answer:

$11,480

Step-by-step explanation:

The equation of the circular orbit and the parabolic path of the comet are

given by the center, diameter, vertex, and directrix.

Part A: The equation of the planet's orbit is; x² + y² = 50²

Part B: The equation of the comet's orbit is; [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]

Part C: The planet's orbit and the comet's path do not intersect.

Reasons:

Part A: The center of the orbit = The origin (0, 0)

The diameter of the orbit = 100

Therefore;

[tex]Radius \ of \ orbit = \dfrac{100}{2} = 50[/tex]

The radius of the planet's orbit, r = 50

The equation of a circle with center (h, k) is; (x - h)² + (y - k)² = r²

Therefore, the equation of the circle is (x - 0)² + (y - 0)² = r²

Which gives;

x² + y² = 50²

Part B: The directrix of the parabolic path is x = 70

The vertex = (60, 0)

Therefore, -p = 70

[tex]The \ equation \ is \ x = \dfrac{1}{4\cdot p} \cdot (y - k)^2 + h[/tex]

Which gives;

[tex]The \ equation \ is \ x = \dfrac{1}{4\times (-70)} \times (y - 0)^2 + 60 = -\dfrac{y^2}{280} + 60[/tex]

[tex]x = \mathbf{ -\dfrac{y^2}{280} + 60}[/tex]

The equation of the comet's path in standard form is [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]

Part C: At the point where the path intersect, we have;

[tex]x^2 = \left( -\dfrac{y^2}{280} + 60 \right)^2[/tex]

Therefore;

[tex]\mathbf{\left( -\dfrac{y^2}{280} + 60 \right)^2} = 50^2 - y^2[/tex]

Let y² = a, we get;

[tex]\left( -\dfrac{a}{280} + 60 \right)^2 = 50^2 -a[/tex]

a ≈ -2015.693 and a ≈ -42784.31

y ≈ √(-2015.693) or y ≈ √-42784.31) (imaginary numbers)

The planet's orbit does not intersect the path of the comet.

Learn more here:

https://brainly.com/question/20743199

Answer: Kinetic and potential energy of atoms result from the motion of electrons. ... The further the orbital is from the nucleus, the higher the potential energy of an electron at that energy level. When the electron returns to a low energy state, it releases the potential energy in the form of kinetic energy.

(i searched it and found this. If it helped, pls mark me brainliest! tysm)

The confidence interval can be calculated from the margin of error, and vice versa,

The margin of error of the confidence interval is 2.156

The confidence interval is given as:

[tex]\mathbf{CI = 3.2 \pm 1.96 \cdot 1.1}[/tex]

The formula of confidence interval is:

[tex]\mathbf{CI = \bar x\pm E}[/tex]

Where E represents the margin of error.

So, by comparison:

[tex]\mathbf{E = 1.96 \cdot 1.1}[/tex]

Multiply

[tex]\mathbf{E = 2.156}[/tex]

Hence, the margin of error of the confidence interval is 2.156

Read more about margin of errors at:

https://brainly.com/question/13990500

Answer:

x>3

Step-by-step explanation:

Work:

2x^2-x>15

Subtract 15 on both sides:

2x&2-x-15>0

Factor the left side of equation to cancel out the ^2.

(2x+5)(x−3)>0

2x+5=0 or x−3>0

Then to make it easier we will do the x-3>0 one, add 3 to both sides = x>3

Ratio of 6 to 5

A ratio of 6 to 5 can be written as 6 to 5, 6:5, or 6/5. Furthermore, 6 and 5 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on.

A ratio of 6 to 5 simply means that for every 6 of something, there are 5 of something else, with a total of 11

Below is a list of equivalent ratios of 6:5 that we created using our 6:5 ratio calculator above.

6:5

12:10

18:15

24:20

30:25

36:30

42:35

48:40

54:45

60:50

66:55

72:60

Answer:

58 2/3 fps

Step-by-step explanation:

To convert a speed value from miles per hour to feet per second, multiply it by 5280, then divide by 3600.

40 * 5280 = 211200

211200 / 3600 = 58.6666..... [58 2/3]

The equation of slope is y2 - y1/x2 - x1

0 - 4/0 - 5

-4/5

Another method in image added.

Answer:

Step-by-step explanation:

A = πr²/2 = 3.142(11²)/2 = 190.091 cm²

Answer:

its 4 ezy

Step-by-step explanation:

please mark as brainlists

Triangle ABC was rotated 90 degrees counter clockwise to become triangle STU

Answer:

Here you go :)

Step-by-step explanation:

Answer:

101

Step-by-step explanation:

Step-by-step explanation:

mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected,

what is the probability that the mean weight will be between 17.6 and 23.6

Ib? Write your answer as a decimal rounded to 4 places

Answer:

Step-by-step explanation:

What’s it’s answer I am wonder

Answer:

Step-by-step explanation:

It is a rectangular prism.

It's length in units = 4

It's breadth in units = 2

It's height in units = 3

Volume of the given rectangular prism

= length × breadth × height

= 4 units × 2 units × 3 units

= 24 cubic units (Ans)

Answer:

0.1818

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