An airplane propeller rotates 1000 times per minute. Find the number of degrees that a point on the edge of the propeller will rotate in 1 second.

The average travel time is simply the mean travel time between the given points.

The average time calculated with the help of following formula;

[tex]\rm Average \ Time = \dfrac{Sum\ of \ all \ data}{Number \ of \ data}[/tex]

a) The average time to travel the first 0.25m

The time travel in the first 0.25m are 2.24s, 2.21s, and 2.23s.

So, the average time to travel is:

[tex]\rm Time = \dfrac{2.24+2.21+2.23}{3}\\\\Time = \dfrac{6.68}{3}\\\\Time = 2.23[/tex]

The average time that it takes for the car to travel the first 0.25m is 2.23s.

(b) The average time to travel just between 0.25m and 0.50m

The time travel in the 0.50m is 3.16s, 3.08s, and 3.15s.

So, the average time to travel this distance is:

[tex]\rm Average \ time = \dfrac{3.16+3.08+3.15}{3}\\\\Average \ time = \dfrac{9.39}{3}\\\\Average \ time =3.13[/tex]

The average time to travel between both distances is the difference between the average time of each distance.

Then,

Average = 3.13 - 2.23 = 0.9 seconds

To know more about Average Time click the link given below.

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Answer:

144

Step-by-step explanation:

bc 6 tennis courts x 24 equals 144 sorry if it's wrong

Answer:

B. y = -1/3x + 1

Step-by-step explanation:

(look at attached picture)

[tex]x = - 2[/tex]is the answer

Explanation -

[tex]-4(3x+1)+x-3=15[/tex]

[tex] = > - 12x - 4 + x - 3 = 15[/tex]

[tex] = > - 11x - 7 = 15[/tex]

[tex] = > - 11x = 15 + 7[/tex]

[tex] - 11x = 22[/tex][tex] = > x = - \frac{22}{11} [/tex]

[tex] = > x = - 2[/tex]

~ Benjemin360

[tex]-4(3x+1)+x-3=15[/tex]

start using the method PEMDAS

(parenthesis, exponents, multiplication, division, addition, subtraction)

so,

start with multiplying since its the third option to start with

[tex]-12x-4+x-3=15[/tex]

now add like variables

[tex]-11x-7=15\\[/tex]

continue by changing the signs to the other side +7 on both sides

[tex]-11x=22[/tex]

now divide 11 on both sides

[tex]\frac{22}{-11}[/tex] equals to negative 2

Answer : [tex]-2[/tex]

Hope this helps~

Answer:

Cannot be determined

Step-by-step explanation:

The information given for the triangles are not enough to evaluate them for similarity. How ever they are both equilateral triangles given the angle measures.

Answer:

x=12

...................

Answer:

A) y = -2x

B) y = x - 3

Step-by-step explanation:

A) you need to have a negative 'x' coefficient and no y-intercept

B) you need to have a positive 'x' coefficient and a negative y-intercept

The required equation is,
A. y = -mx
B. y = -mx - c

The slope of the line is the tangent angle made by the line horizontally. i.e. m =tanx where x in degrees.

Here,
The Standard slope-intercept equation of a line is,
y = mx + c

Where m = slope and c = y-intercept

For A,
negative slope and passes through the origin implies
slope = -m and c = 0
Now, the equation
y = -mx

For B.
Slopes upward from left to right and has a y-intercept below the x-axis.

Slope = -m and y-intercept = -c
Now, the equation
y = -mx - c

Thus, the required equation is,
A. y = -mx
B. y = -mx - c

Learn more about slopes here:
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(×+y)^2 = x^2 + y^2+ 2xy

= 106+ 2×24

=106+48

=154

2×154 = 308

Answer:

1. Make imporper franctions: 2 1/2 = 5/2    1 2/5 = 7/5

2. Find common denominater: using 10

5/2 =  25/10       7/5 = 14/10

3. Simplify.

25/10 -  14/10 = 11/10

=  1 1/10

Step-by-step explanation:

Answer:

$7.45

Step-by-step explanation:

If it's constant , divide the amount he earns by the amount of hours. It should be the same every time.

44.70 divided by 6=7.45

and so on

rate of change is slope:-

[tex]\\ \tt\hookrightarrow m=\dfrac{59.60-44.70}{8-6}[/tex]

[tex]\\ \tt\hookrightarrow m=\dfrac{14.9}{2}=7.45[/tex]

He is wrong

Answer:

[tex]m\angle C=47.07^\circ[/tex]

Step-by-step explanation:

Law of Sines

[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]

Determine angle C given angle A and side "a"

[tex]\frac{sin(118^\circ)}{41}=\frac{sinC}{34}\\ \\34sin(118^\circ)=41sinC\\\\\frac{34sin(118^\circ)}{41}=sinC\\\\C=sin^{-1}(\frac{34sin(118^\circ)}{41})\\\\C\approx47.07^\circ[/tex]

Therefore, [tex]m\angle C=47.07^\circ[/tex]

Answer: X=1

Step-by-step explanation:

Please see picture for steps

Answer:

c) they are screw lines

Step-by-step explanation:

A and B will intersect but never create a 90 degree angle. It comes at and angle smaller

Answer:

id choose the answer 3(x+1)-(!-x) and 2x + 3

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

The answer is B. 16-30!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Elga's age = x

Alvin's age = 3*x = 3x

Sum of their ages = 24

x + 3x = 24

4x = 24

Divide both sides by 4

x = 24/4

x = 6

3x = 3*6 = 18

Elga's age = 6 years

Alvin's age = 18 years

Answer:

1) 64 yd²    2) 3801.3 mm³    3)  56.55 ft³

Step-by-step explanation:

Surface area of rectangular prism: Area =2(wl+hl+hw)

                                                                  = 2(4*2+4*2+4*4)

                                                                   = 64 yd²

Volume of cylinder = πr²h

                                = π*11²*10

                                = 1210π or 3801.3 mm³

Volume of cone = [tex]\frac{1}{3} \pi r^{2}h[/tex]

                           = 1/3 *π*3²*6

                           = 18π or 56.55 ft³

Answer:

Below!

Step-by-step explanation:

We know that:

Solution (Surface area of rectangular prism):

Solution (Volume of cylinder):

Solution (Volume of cone):

Answer:

you can do that was prank to do on your statement is true about the earth is the lord's prayer in the bible does Jesus

Answer:

140ft.^2

Step-by-step explanation:

3.5 x 4 = 14 (the width)

2.5 x 4 = 10 (the length)

- to find the area of the rectangle, you multiply the width and length

14 x 10 = 140

if you need a more detailed explanation i am free to give one!!

Answer:

17.3

Step-by-step explanation:

50 - 32.7 = 17.3

Answer:

Given below.

Step-by-step explanation:

1) Hypotenuse

2) Using Pythagoras theorem:

              35² + 12² = c²

                c = √1225+144

                c = √1369

                 c = 37  ....this is the length of missing side.

Here given that opposite is 35 , adjacent is 12 , hypotenuse is 37.

3) sin(θ) = opposite/hypotenuse

   sin(θ) = 35/37

4) cos(θ) = adjacent/ hypotenuse

    cos(θ) = 12/37

5) tan(θ) = opposite/adjacent

      tan(θ) = 35/12

#1

#2

Apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow H^2=25^2+12^2=1225+144=1369[/tex]

[tex]\\ \tt\hookrightarrow H=37[/tex]

#3

[tex]\\ \tt\hookrightarrow Sin\theta=\dfrac{35}{37}[/tex]

#4

[tex]\\ \tt\hookrightarrow cos\theta=\dfrac{12}{37}[/tex]

#5

[tex]\\ \tt\hookrightarrow tan\theta=\dfrac{35}{12}[/tex]

Answer:

V = 4645.63 cubic m

Step-by-step explanation:

the drum is cylindrical and the formula for the volume of a cylinder is:

V = πr²h

V = π(6.5)²·35

V = 4645.63

Answer:

Step-by-step explanation:

Use trigonometry: