Use the drop-down menus to complete the solution to the equation Cosine (StartFraction pi Over 2 EndFraction minus x) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction for all possible values of x on the interval [0, 2Pi].

Answer:

Step-by-step explanation:

You suck free points

The change of the distance travelled by the ball when the angle of launch

changes can be found by linear approximation.

Reasons:

The distance of the player from the basket = 18.6 ft.

Height from which the jump shot is launched = 10 ft.

Angle of the jump shot = 36°

The initial velocity = 25 ft./s

According to Newton's Law of motion, the distance an object travels when

released at an angle θ, with an initial velocity, v, is given by the following

horizontal range formula equation;

[tex]s = \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta)[/tex]

[tex]\dfrac{ds}{d\theta} =\dfrac{d}{d\theta } \left( \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta) \right)= \dfrac{v^2 \cdot cos(2 \cdot \theta)}{16}[/tex]

By linear approximation, we have;

[tex]\Delta s = \dfrac{ds}{d\theta} \times \Delta \theta[/tex]

Which gives;

[tex]\Delta s =\dfrac{25^2 \cdot cos(2 \times 36^{\circ})}{16}\times \Delta \theta \approx 12.07 \times \Delta \theta[/tex]

360° = 2·π radians

[tex]12.07 ^{\circ} = \dfrac{2 \cdot \pi}{360} \times 12.07 \approx 0.211 \ radians[/tex]

Δs ≈ 0.211·Δθ

Therefore;

The change in the distance, Δs, when the angle changes by Δθ is 0.211·Δθ.

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[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]

[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]

[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]

Inverse both sides

[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]

[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]

[tex]R = \frac{48}{10} \\ [/tex]

[tex]R = 4.8 \: \: Ω[/tex]

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The correct answer is (( B )) .

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Answer:

15

Step-by-step explanation:

h= horses c=chickens h(3)=c

h=5 5(3)=15

Answer:

x = 7

Step-by-step explanation:

If DF = FE , then m∠D = m∠E ⇒ 5x = 3x + 14

2x = 14 ⇒ x = 7

Answer:

5,424 ft.

Step-by-step explanation:

For every 1 foot the ski lift goes up by, it travels west 4 feet. So, because we know that the lift will be 1,356 feet higher at the top of the mountain, all we have to do is multiple 1,356 by 4.

1,356 * 4 = 5,424 ft.

I hope this helps. :)

Answer:

There wouldn't be a fraction form because its a whole number which is 9

Answer:

The x-intercept is : (22, 0)

Step-by-step explanation:

From the table values, we determine that it is a straight line as there is a constant change in x and y values.

i.e.

Any previous value of y can be obtained by subtracting 15 from the successor y value.

i.e.

60 - 15 = 45

45 - 15 = 30

so if continue, we can also determine some of the other values of y such as

30 - 15 = 15

15 - 15 = 0

Also, there is a constant change in x values. so, any previous value of x is obtained by subtracting 13 from the successor x value.

i.e.

74-13 = 61

61-13 = 48

48-13=35

35-13=22

So, from the above analysis, we determine that when the value of y = 0, the value of x = 22.

We also know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.

so, at y = 0, the value of x = 22.

Therefore, the x-intercept is : (22, 0)

Answer:

(22, 0)

Step-by-step explanation:

I got it right on khan

Answer:

Step-by-step explanation:

Step one:

given data

principal P= $500

rate r= 4%= 0.04

time t= 5years

Step two:

The function that best represents Samantha's account

A=P(1+r)^t

substituting and solving for A, which is the final amount

A=500(1+0.04)^5

A=500(1.04)^5

A=500*1.2166

A=608.32

Thus, she has in savings after 5 years $608.32

Answer:

I think it might be 4072 I forget how to do this kind of math sorry.

Step-by-step explanation:

Answer:

Line A is filling more quickly

Step-by-step explanation:

Hope this helps!!:)

Answer:

623+3y

Step-by-step explanation:

You distribute the 6 then you add the ys and the numbers together

Answer:

SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...

SAS (side, angle, side) ...

ASA (angle, side, angle) ...

AAS (angle, angle, side) ...

HL (hypotenuse, leg)

Step-by-step explanation:

Answer: Sure,

Step-by-step explanation: d

=

√

17

 or  

d

=

4.1

rounded to the nearest 10th

Explanation:

The formula for calculating the distance between two points is:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substituting the two points from the problem and calculating gives the distance as:

d

=

√

(

1

−

2

)

2

+

(

−

5

−

−

1

)

2

d

=

√

(

−

1

)

2

+

(

−

4

)

2

d

=

√

1

+

16

d

=

√

17

d

=

4.1

rounded to the nearest 10th

:)

Answer:

The correct answer is C.

Answer:

91.98 (I was wrong the first time.)

Step-by-step explanation:

I looked up how to find the volume(Picture 1)

Length of cube: 7.3m

Height of cube: 6m

Width of cube: 2.1m

(Picture 2)

When you add them all up you get 91.98

Answer:

54.39

Step-by-step explanation:

33.6 + 20.79

54.39

Answer:

-4<_ 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the function y = 19800/x

Vertical asymptote occurs at when f(x) = 0 where;

f(x) is the denominator of the given function.

From the expression given: f(x) = x

Since f(x) => 0, hence x = 0

To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.

Since 0<1, hence the horizontal asymptote is 0

x = 0, y = 0

Answer:

x = 0

y = 0

second question is b

third question is b

and forth is c

Step-by-step explanation:

Answer:

y = 70x + 150

Step-by-step explanation:

y-intercept: 150

slope: 70x

Let x represent the amount of hours the electrician spent in the house.

Answer:

C=150+70t

Step-by-step explanation:

In this equation, C stands for the total cost, and t stands for the number of hours worked. Since 150 is a set fee it must be a constant in the equation and to must be added to the hourly cost. 70 must be multiplied by t because the electrician charges 70 dollars for every hour he works. Then, both the set fee plus the hourly fee together equal the total cost.

Answer: it’s A

Step-by-step explanation: I got it right, hope it helps ✨

The value of the expression  [tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex] when a = 5 and k = -2 is [tex]\frac{25}{9}[/tex]

The expression is as follows:

[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex]

using law of indices

Hence,

when a = 5, k = -2

[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k} = (\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}[/tex]

Then,

[tex](\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}=(\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}[/tex]

[tex](\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}=(\frac{9}{25} (\frac{5}{3}))^{-2}[/tex]

[tex](\frac{9}{25} (\frac{5}{3}))^{-2}=(\frac{3}{5})^{-2}[/tex]

[tex](\frac{3}{5})^{-2}=\frac{25}{9}[/tex]

Therefore, the value of the expression is 25 / 9

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Answer:

m=z/4y + a/4y

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

-3y < -2/5

Step-by-step explanation:

Multiplied means times

-3y

is less than means <

-3y < -2/5

Answer: 48

Step-by-step explanation: conversion of pints to quarts will give you 48

In 96 pints, there are equivalent 48 quarts.

We have a total of 96 pints of blood were collected at the blood drive.

1 pint = 0.5 quart

So, in 96 pints, there will be (96 x 0.5) = 48 quarts.

Therefore, in 96 pints, there are equivalent 48 quarts.

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Answer:

7

Step-by-step explanation:

...

Answer:

Yes, quadrilateral ABCD is rectangle.

Step-by-step explanation:

This is because by looking at the terminology of ABCD, there are 4 variables in total together. This is also because when you see 4 variables together as one, it is a 4 sided quadrilateral.

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Have an amazing day!

Answer:

a) P = 5000(1.014)^y

b) 5,908

Step-by-step explanation:

Here, we want to write an exponential growth model;

a)The model will be represented as;

P = 5000( 1.014)^y

where P is the population at a particular year after 2010

y is the number of years after 2010

b.) For 2022;

y = 2022-2010 = 12

P = 5000(1.014)^12

P = 5,908 approximately

Answer:

900

Step-by-step explanation:

I used the box method

Answer:

ha

Step-by-step explanation: