Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.

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An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.

Which equation of cos show period amplitude ?

The equation given below show aplitude and period

[tex]y = A cos bx + c[/tex]

where A = amplitude,

b = 2 pi/Period,

Period = 12 hrs,

c = midline,

x = t and y = f(t)

We have to find the amplitude

[tex]A = 1/2 (Xmax - Xmin)[/tex]

[tex]12 - 2 / 2 = 10/2 = 5[/tex]

[tex]b = 2 pi / 12 = pi/6[/tex]

[tex]c = 1/2 (Xmax + Xmin)[/tex]

[tex]12+2/2 = 7[/tex]

Therefore, the an equation for water level in june for pensacola as a function of time (t)

[tex]f(t) = 5 cos pi/6 t + 7[/tex]

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Step-by-step explanation:

the volume of a cylinder is as for any regular shaped object

ground area × height

here the ground area is a circle, so we get

pi×r²×h

with r being the radius (half the diameter), and h the height.

therefore,

pi×(2.7/2)²×10 = 3.14×1.8225×10 = 57.25552611... cm³

so, the first option is correct.

The line of best fit of the traffic study is a line through a scatterplot of data points which shows the relationship between the points.

Your information is incomplete as the table isn't given. Therefore, an overview will be given.

The least square methods is used by statisticians to arrive at the geometric equation for the line. A straight line will simply result from a simple regression of two or more independent variables.

A regression that has to do with multiple related variables lead to a curved line. The line of best fit is an important output of regression analysis.

A regression that has two independent variables will have a formula with:

y = c + b1x1 + b2x2

where,

c = constant

b1 = first regression coefficient

x1 = first independent variable

b2 = second regression coefficient

x2 = second independent variable.

In conclusion, the line of best fit expresses the relationship in a scatterplot of the data points.

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Answer:

y=1/-2x+2.5

Step-by-step explanation:

Y=Mx+c

Mx(slope)=y2-y1/x2-x1= 6-2/-5-3 =4/-8= 1/-2

C(y-intercept)= replace one of of the points here to find C

2=1/-2(3)+c, c= 2.5

Final answer > y=1/-2x+2.5

Answer:

3000m

Step-by-step explanation:

First, note that km is the same as kilometers and m is the same as meters. Thus, when you are asking to convert 3 km to m, you are asking to convert 3 kilometers to meters.

A kilometer is larger than a meter. Simply put, km is larger than m. In fact, a kilometer is "10 to the power of 3" larger than a meter.

Since a kilometer is 10^3 larger than a meter, it means that the conversion factor for km to m is 10^3. Therefore, you can multiply 3 km by 10^3 to get 3 km converted to m.

Here is the answer with the math showing you how to convert 3 km to m by multiplying 3 by the conversion factor of 10^3.

3 x 10^3

= 3000

3 km

= 3000 m

Answer:

3000 m

Step-by-step explanation:

Unit conversion :

Solving :

Answer:

Excuse me, Where is the question??

Answer: 115/hr & $75/hr

Step-by-step explanation: please see attached PDF document for detailed instructions including step by step.

Answer:

(f + g)(x) = x + 5

Explanation:

f(x) = 2x + 3

g(x) = 3x + 2

===========

Answer:

[tex](f+g)(x)=5x+5[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=2x+3[/tex]

[tex]g(x)=3x+2[/tex]

[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (2x+3)+(3x+2)\\ & = 2x+3+3x+2\\ & =2x+3x+3+2\\ & = 5x + 5\end{aligned}[/tex]

answer : the sum so obtained is rupees 300

Answer:

y = - 2x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 . then

y = - 2x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = - 4 + c (add 4 to both sides )

0 = c

y = - 2x + 0 , that is

y = - 2x ← equation of line

well, we know its a rectangle, so  hmmm opposite sides are not just parallel but equal, hmmm so the area of this rectangle we can get by Length * Width, in this case that'll be QT * TS

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad T(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QT=\sqrt{[2 - 0]^2 + [-2 - 1]^2}\implies QT=\sqrt{2^2 + (-3)^2}\implies QT=\sqrt{13} \\\\[-0.35em] ~\dotfill[/tex]

[tex]T(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad S(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-8})~\hfill TS=\sqrt{[-7 - 2]^2 + [-8 - (-2)]^2} \\\\\\ TS=\sqrt{(-9)^2 + (-8+2)^2}\implies TS=\sqrt{117} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{\sqrt{13}\cdot \sqrt{117}\implies \sqrt{1521}\implies 39}[/tex]

Answer:

a = -2  

Step-by-step explanation:

Ok, so for parallel lines you need to make slopes for both the lines equal. So for line y = x + 4 the slope is 1. (slope is the coefficent infront of the x value while in y=mx+b form. To make the other line have a slope of 1 a needs to be a number as so that 2a+5 = 1

2a+5 = 1

2a = 1 - 5

a = -4/2

a = -2  

Step-by-step explanation:

Displacement = 576 m

Time taken = 32s

Now

[tex]average \: speed = \frac{distance \: travelled}{time \: taken} \\ = \frac{576}{32} \\ = 18 m/s[/tex]

Answer:

d = 2√34

Explanation:

Answer: 48

Step-by-step explanation:

Answer:

One square inch is equal to . So, your box have  square inches and it costs  or $36 to manufacture it.

Step-by-step explanation:

Answer:

C =66

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

You want to add 8+8 and you get 16. Subtract 16 from 40 and you get 24 (This is both lengths). Divide 24 by two to get 12 (One length Vaule).

Answer:

32

Step-by-step explanation:

The answer is 32 because 8 x 3 is 24 so then just add 8

Answer:

1.7

Step-by-step explanation:

You can use the 30/60/90 triangle rule, but it was quicker for me to do. SIN(60)=b/2. If you want a more in depth explanation just reply to this but I have to go right now so I will do it later.

180°-32°=2x (angles in a triangle always sum up to 180)

2x= 148°

x= 74° (they are (at least) 2 angles that are even in an isosceles triangle)

The Neptune's time period of orbit is 164.3 earth years.

We have given that the mass of the sun is 2 × 1030 kg.

The distance between neptune and the sun is 30 au

[tex]T^2 = 4\pi ^2a^3/GM[/tex]

Where T is in earth years, a is astronomical units and

M = solar masses.

4π²/GM = 1,

Therefore we get

[tex]T^2 = a^3[/tex]

[tex]T = \sqrt(a^3)[/tex]

[tex]T = \sqrt(30^3)[/tex]

[tex]T = 164.3[/tex]

Therefore, the Neptune's time period of orbit is 164.3 earth years.

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Answer:

b. 164 earth years

Step-by-step explanation:

just took the quiz 2022

Answer:

x=2

Step-by-step explanation:

You can simplify the equation with all the x's on one side and the numerical values on the other. After solving, the answer would be x=2

Answer:

x=2

Step-by-step explanation:

Distribute the 2.5 and 4 out

15x - 10 = 10 + 6 +2x

Add the constant variables together

15x - 10 = 16 +2x

Move the x on one side and the constant on the other

13x = 26

Divide both sides to find x

x=2

Answer:

(3 -1 -1 3

4 4 1 1)

reflection across the y-axis

Step-by-step explanation:

Answer:

m∠A = 19°

vertical angles are of same measure.

⇒ so given m∠A = m∠B

Find x

Then find m∠A

Answer:

That's your answer

Step-by-step explanation:

So In this problem We are told both angles are vertical. That is enough information. When 2 Angles are vertical they measure the same. Vertical angles have SAME measure.

Now we are given 2 angles.

Angle A and Angle B

Angle A= (3x+13) degrees

Angle B=(5x+9) degrees

Knowing that and that they measure the same just put them equal to each other……

3x+13=5x+9

Given the equation just solve…..

Lets subtract 9 from 13

Then Subtract 3x

Then Divide by 4

3x+13=5x+9

3x+4=5x

4=2x

x=4/2 =2

x= 2

We now Know X is equal to ½ but we still need to figure out the measure of angle A

Angle A= 3x+13

So just plug in

3(2) +13= 19° :)

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This is the graph of a NON-LINEAR FUNCTION

The y intercept of the graph is the function value y=-6

The x intercepts of the graph are located at x=2 and x=6

The greatest value of y is y= 2 and it occurs when x=4

For x between x=2 and x=6, the function value y≥0

Hope this helped :>

The time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

Pendulum is the body which is pivoted a point and perform back and forth motion around that point by swinging due to the influence of gravity.

The time period of pendulum is time taken by it to complete one cycle of swing left to right and right to left.

The equation models the horizontal distance of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, is given as,

[tex]d = 11 \cos\left( \dfrac{8\pi}{5}t\right)[/tex]

At the maximum position, the time period is zero. Thus,

[tex]\dfrac{8\pi}{5}t=0\\t=0[/tex]

At the minimum position, the period equal to the π. Thus,

[tex]\dfrac{8\pi}{5}t=\pi\\t=\dfrac{5}{8}\\t=0.625[/tex]

This time is for one side of motion. The time for swing from its rightmost position to its leftmost position and back again is,

[tex]t=0.625+0.625\\t=1.25\rm\; s[/tex]

Thus, the time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

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Answer:

C:1.25

Step-by-step explanation: