The tech ed teacher needs to cut boards for the 6th grade propeller project that are 3/4 feet long.How many propellers can he get out of a board that is 1/2 feet long.

Answers

Answer 1

Answer:

  zero

Step-by-step explanation:

1/2 feet is less than 3/4 feet, so is insufficient length for even one propeller. No propellers can be cut from the board.


Related Questions

P(A) =0.20 P(B) = 0.25 P(A and B) = 0.10. What is P(B/A)?
A. 0.25
B. 0.40
C. 0.50
D. 0.05

Answers

Answer:

Final answer is [tex]P(B/A)=0.5[/tex]

Step-by-step explanation:

Given that P(A) =0.20

P(B) = 0.25

P(A and B) = 0.10.

Now we need to find about what is the value of P(B/A).

P(A and B) = P(A) * P(B/A)

Plug the given values into above formula:

[tex]0.10=0.20\cdot P(B/A)[/tex]

[tex]\frac{0.10}{0.20}=P(B/A)[/tex]

[tex]0.5=P(B/A)[/tex]

[tex]P(B/A)=0.5[/tex]

Hence final answer is [tex]P(B/A)=0.5[/tex]

Answer:

c is the answer

Step-by-step explanation:

Solve the equation...

Answers

Answer:

D) π/2 and 3π/2

Step-by-step explanation:

The equation can be factored:

(1 -sin(x))(1 +sin(x)) = 0

The factors will be zero when ...

sin(x) = 1 ⇒ x = π/2

sin(x) = -1 ⇒ x = 3π/2

Correlation Coefficients. Image attached for the problem.

A. 11
B. 9
C. 3
D. 5

Answers

Answer:

A

Step-by-step explanation:

y bar basically means the average of the y-values.

To get the average, we add up all the y-values in the table and divide by the total number of values (here we have 5 values). Hence,

y bar = [tex]\frac{5+7+10+15+18}{5}=11[/tex]

correct answer is A

Vince read 1 /4 of his book on Monday. He read 2/ 4 more of his book on Tuesday. How much of his book did Vince read on the two days?

Answers

Answer:3/4

Step-by-step explanation: Since he read 1/4 on Monday and 2/4 on Tuesday that would add up to 3/4

Line segment AB has a slope of 4/3 and contains point A (6,-5). What is the y-coordinate of point Q(2, y) if QA is perpendicular to line segment AB.
Answers:
y = −2
y = −1
y = 2
y = −3

Answers

[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope~of~AB}{\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{4}}}\impliedby \textit{slope of QA} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf A(\stackrel{x_1}{6}~,~\stackrel{y_1}{-5})\qquad Q(\stackrel{x_2}{2}~,~\stackrel{y_2}{y}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-(-5)}{2-6}=\stackrel{\textit{QA's slope}}{-\cfrac{3}{4}}\implies \cfrac{y+5}{-4}=\cfrac{-3}{4} \\\\\\ 4y+20=12\implies 4y=-8\implies y=\cfrac{-8}{4}\implies \boxed{y=-2}[/tex]

Find the domain and range of the function f(x)=-5 cos^2x

Answers

Answer:

domain:   (-∞, ∞) ; range: [-5, 0]

Step-by-step explanation:

Let's begin with the basics:

The domain of cos x is (-∞, ∞); the range is [-1, 1].

The domain of cos²x is still (-∞, ∞).

Likewise, the domain of -5 cos²x is(-∞, ∞).

The range of cos²x differs: it is [0, 1] because squaring a negative number results in a positive output.

Multiplying cos²x by 5 expands the range to [0, 5].

Finally, multiplying 5 cos²x by -1 changes the range to [-5, 0].

Answer:

C

Step-by-step explanation:

Cuz edge

50 POINTS!! :) A dog that has been tethered has a 20 foot lead makes the path shown here. If the length of the path is 45 feet, the measure of angle 0 is ___ radians.

Answers

Answer:

The measure of angle theta is [tex]\theta=2.25\ radians[/tex]

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=20\ ft[/tex]

substitute

[tex]C=2\pi (20)[/tex]

[tex]C=40\pi\ ft[/tex]

step 2

Find the measure of angle theta

we know that

The circumference of a circle subtends a central angle of [tex]2\pi\ radians[/tex]

so

using proportion

Find out the measure of the central angle by a length of arc equal to 45 ft

[tex]\frac{40\pi}{2\pi}=\frac{45}{\theta}\\ \\\theta=2*45/40\\ \\ \theta=2.25\ radians[/tex]

Answer: 2.25 radians

Step-by-step explanation:

The Wright family recently went out to dinner. They ordered two pizzas at $14.95 each, a salad at $4.35, and four drinks at $2.49 each. The sales tax is 7.675 %. Mr. Wright paid with a $50 bill. Mr. Wright always leaves a 15% tip on the total bill (excluding tax). How much more money will he need in order to leave a 15% tip?


A

$ 3.00

B

$ 4.23

C

$ 6.00

D

$ 7.20

Answers

Answer:

B

Step-by-step explanation:

First

Get totals for food items:

Pizza $14.95 ×2=$29.90

Salad=$4.35

Drinks $2.49 ×4=$9.76

Total Bill

$29.90

$ 4.35

+$ 9.76

$44.21 Food Bill

Second Step

Find Tip Amount Before Tax

Total Bill $44.21 × .15=$6.63 Tip

Third Step

Find Tax on Total Food Bill

$44.21 × .07675=$3.39

Fourth Step

Find amount left from paying bill with tax.

Total Bill including tax:

$44.21 (bill) +$3.39 tax=$47.60

Cash $ 50.00

Total Bill - $47.60

$ 2.40 Change left over

Fifth Step

Find amount needed to give $6.63 tip from above.

We have $2.40 we need $6.63

Subtract $6.33 -$2.40=$4.23 more money needed for tip

The correct option is B. $ 4.23. Mr. Wright needs an additional $4.23 to leave a 15% tip.

First, we need to calculate the total cost of the meal before tax and tip. The Wright family ordered two pizzas at $14.95 each, a salad at $4.35, and four drinks at $2.49 each. So, the cost of the pizzas is [tex]2 \times $14.95[/tex], the salad is $4.35, and the drinks are 4 \times $2.49.

Cost of pizzas: [tex]2 \times $14.95 = $29.90[/tex]

Cost of salad: $4.35

Cost of drinks: [tex]4 \times $2.49 = $9.96[/tex]

Total cost before tax: [tex]\$29.90 +\$\4.35 + \$\9.96 = \$\44.[/tex]21

Next, we calculate the sales tax, which is 7.675% of the total cost before tax.

Sales tax: [tex]\$\44.21 \times 7.675% = \$\44.21 \times 0.07675 = \$\3.39[/tex]

Now, we add the sales tax to the total cost before tax to get the total cost including tax.

Total cost with tax: [tex]\$\44.21 + \$\3.39 = \$\47.60[/tex]

Mr. Wright wants to leave a 15% tip on the total bill before tax. So, we calculate 15% of the total cost before tax.

Tip: [tex]\$\44.21 \times 15% = \$\44.21 \times \$\0.15 \times \$\ 6.63[/tex]

Mr. Wright paid with a $50 bill, so we subtract the total cost with tax from $50 to find out how much change he should receive.

Change from [tex]\$50: $50 - $47.60 = $2.40\[/tex]

To find out how much more money Mr. Wright needs to leave a 15% tip, we subtract the change he receives from the tip amount.

Additional money needed: [tex]\$6.63 - $2.40 = $4.23\[/tex]

Therefore, Mr. Wright needs an additional $4.23 to leave a 15% tip.

PLEASE HELP Me
Thank u!!

Answers

Answer:

Length = 13

x = 80

Step-by-step explanation:

Question One

Let the width = x

Let the length = x + 5

Area = 104

Equation

Area = L * W

Area = (x+5)*x

Solution

x ( x + 5) = 104                  Remove the brackets

x^2 + 5x = 104                  Subtract 104 from both sides.

x^2 + 5x - 104 = 104 - 104

x^2 + 5x - 104 =  0            Factor the equation    

(x + 13)(x - 8) = 0

Only x - 8 = 0 works

x = 8

The width = 8

The Length = 8 + 5 = 13

Question Two

Draw AP

<BAP = 20o                     The triangle (APB) is isosceles: 2 sides are radii

<BPA = 180 - 20 - 20      The three angles of a triangle = 180

<BPA = 140                      Combine

Similarly <CAP = 140       Go through exactly the same steps.

<BPA + <CAP + X = 360  The total of the 3 angles in the center = 360

140 + 140 + X = 360         Combine

280 + X = 360                 Subtract 280 from both sides.

x = 80

5
∑ (2n-1)
n-1

Find the sum of the series. Show your work. Thanks for the help

Answers

Answer:

225

Step-by-step explanation:

15(1+15/2) *2= 240-15=225

The sum of the arithmetic series given by the terms (2n - 1) for n=1 to 5 is 25, computed using the formula for the sum of an arithmetic series.

The series in question is an arithmetic series with a difference of 2 and the sum of the first n terms can be represented by the formula for the sum of an arithmetic series, Sn = n/2[2a + (n-1)d], where 'a' is the first term and 'd' is the common difference between the terms.

In the provided series, each term is of the form (2n - 1) starting with n=1 and going till n=5. So the first term, a = 2(1) - 1 = 1, and the common difference, d = 2 since each subsequent term increases by 2.

We can compute this sum directly by evaluating S5, using the formula for an arithmetic series: S5 = 5/2[2(1) + (5-1)(2)] = 5/2[2 + 8] = 5/2[10] = 25. So, the sum of the series is 25.

Spencer opened a savings account and deposited $10. The account pays 3.5% interest and compounds the interest monthly. How much money will Spencer have after 10 years? **n=12 because it is compounded monthly.

Answers

Answer:

[tex]\$14.18[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ P=\$10\\ r=0.035\\n=12[/tex]  

substitute in the formula above  

[tex]A=P(1+\frac{0.035}{12})^{12*10}=\$14.18[/tex]  

Please help!! Having a hard time with this question...!


A quadrilateral is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work and/or explain how you got your answer.

m∠z=

I know this because…

m∠x=

I know this because…

m∠y=

I know this because…


(Please answer the question presented in the format in the question)

Answers

Answer:

Step-by-step explanation:

The angle you can get right away is z.

z + 93 = 180

z + 93 - 93 = 180 - 93

z = 87

===============

The next step is to solve for y. You need to draw a line from  y to the center and another one from z to the center.

The triangle containing part of y and part of z has a central angle of 106 degrees.

Part of y + partz + 106 = 180

part of y + partz = 74

part of y = partz = 37                The triangle is isosceles because 2 of the legs are radii.

Do the same thing from 93 to the center and the other part of y to the center.

The central angle is 58

The two other angles are equal

part of y + part of 93 + 58 = 180

partofy + partof93 = 180 - 58

partofy + partof93 = 122

partofy = part93 = 61

So

y = 61 + 37 = 98

========================

x + y = 180 (opposite angles in a quadrillateral that fits in a circle = 180)

x + 98 = 180

x = 82

====================

x = 82

y = 98

z = 87

For the system shown below, what are the coordinates of the solution that lies in quadrant 1?
Write your answer in the form (a,b) without using spaces.

[tex]3y^2-5x^2=7\\3y^2-x^2=23[/tex]

Answers

The answer in the first quadrant is

(2,3)

The inequality -x^2 -6 <0 has how many critical points

Answers

Answer:

See below.

Step-by-step explanation:

This inequality is < 0 for all real values of x. We see this by solving  -x^2 - 6 = 0 for x:

-x^2  - 6 = 0

-x^2 = 6

x^2 = -6   for which there are no real solutions of x. So the graph does not pass through the x axis.

At x = 0. f(x) < -6 so that is the one critical value - all values of f(x) are below this value.

Answer:

0 critical points

Step-by-step explanation:

Just did it and got it right

What should be done to solve the following equation?

d - 8 = 9

Subtract 8 from both sides of the equation.
Add 8 to both sides of the equation.
Add 9 to both sides of the equation.
Subtract 9 from both sides of the equation.

Answers

Add 8 to both sides of the equation.

You need to get x by itself. The only way to do that here is to do the opposite of subtracting 8, which is adding 8.

Also, when you do something to one side of the equation, you have to also do it to the other side to keep the equation equal.

Answer: Add 8 to both sides of the equation

Step-by-step explanation:

d - 8 = 9

in this equation you need to solve for d. To do that you have to get d by itself.

By adding 8 to both sides of the equation you cancel out the -8 and add 8 to 9 which solves for d.

Can somebody please help me.

Answers

Answer:

72

Step-by-step explanation:

The two acute angles add up to 90 degrees. That's because the given triangle is a right triangle.

So x + 4x + 90 = 180           All triangles = 180°. Combine left side terms.

5x + 90 = 180                      Subtract 90°

5x + 90 - 90 = 180 - 90      Combine

5x = 90                                Divide by 5

5x/5 = 90/5                         Combine

x = 18

The larger angle is 4x so

The larger angle = 4*18 = 72

A 12 pack of cola costs $5.46. How much does one can of cola cost?

Answers

Answer:

46¢

Step-by-step explanation:

Note that there are 12 cola's in all. The total cost is $5.46. Divide the total cost with the amount of cola's there is:

5.46/12 = 0.455

Round: 0.455 rounded to the nearest hundredths is $0.46 (You round to the nearest hundredths, for the smallest amount for US currency is a penny, which is 1/100 of a dollar bill).

Each cola costs $0.46

~

Find the equation of the line specified. The line passes through the points ( -2, 3) and ( -4, 7)

Answers

Answer:

[tex]y=-2x-1[/tex]

Step-by-step explanation:

Let the first coordinate point be (x_1,y_1) and the second coordinate point be (x_2,y_2)

So

x_1 = -2

y_1 = 3

x_2 = -4

y_2 = 7

Now we can use the formula for equation of line to figure it our.

Equation of line formula is  [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Plugging in the known values and arranging in slope-intercept form, we have:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-3=\frac{7-3}{-4-(-2)}(x-(-2))\\y-3=\frac{4}{-2}(x+2)\\y-3=-2(x+2)\\y-3=-2x-4\\y=-2x-4+3\\y=-2x-1[/tex]

This is the equation of the line passing through the points ( -2, 3) and ( -4, 7)

Final answer:

To find the equation of the line, the slope is calculated as -2, using the point-slope form with one of the points yields y - 3 = -2(x + 2). Simplifying this, the equation of the line is y = -2x - 1.

Explanation:

To find the equation of a line passing through two points, first, determine the slope (m) of the line. The slope is calculated as the change in y (vertical) divided by the change in x (horizontal). For the points (-2, 3) and (-4, 7), the slope is:

m = (y2 - y1) / (x2 - x1) = (7 - 3) / (-4 + 2) = 4 / (-2) = -2.

Next, use the point-slope form:

y - y1 = m(x - x1),

where (x1, y1) is a point the line passes through. Using point (-2, 3) and the slope -2:

y - 3 = -2(x + 2).

Rewrite this equation in slope-intercept form (y = mx + b) by simplifying and solving for y:

y = -2x - 4 + 3,

y = -2x - 1.

Therefore, the equation of the line passing through the points ( -2, 3) and ( -4, 7) is y = -2x - 1.

If g=26.4 and F=35° find h. Round to the nearest tenth (picture provided)

Answers

For this case we have to, by definition:

[tex]cos (F) = \frac {h} {26.4}[/tex]

This means that, the cosine of the angle F, will be equal to the leg adjacent to the angle on the hypotenuse of the triangle.

So, by clearing h we have:

[tex]h = 26.4 * cos (35)\\h = 26.4 * 0.81915204\\h = 21.6256[/tex]

Rounding out the value of h we have:

[tex]h = 21.6[/tex]

Answer:

Option B

Answer:

The correct answer is option b.   21.6

Step-by-step explanation:

Points to remember:-

Trigonometric ratio

Cos θ = adjacent side/Hypotenuse

From the figure we can see a right triangle triangle FGH.

To find the value of h

It is given that, g=26.4 and F= 35°

Cos F =  adjacent side/Hypotenuse

Cos 35 =  adjacent side/Hypotenuse

     = FG/FH = h/g

h = g * Cos F = 26.4 * Cos 54 = 26.4 * 0.8191 = 21.62 ≈ 21.6  

Therefore the correct answer is option b.  21.6

Find the length of segment BC. Please help ASAP

Answers

BC also has length 12 because arcs DC and CE add up to 117 degrees in measure, so that arc DE is congruent to arc BC, and the chords DE and BC that respectively intercept these arcs must also be congruent.

CAN LIFT 10 POUNDS BY PUTTING 30 POUNDS OF WEIGHT ON A LEAVER HOW MUCH FORCE NEEDED TO LIFT A 25 POUND WEIGHT

Answers

Answer:

Is it a decimal?

Step-by-step explanation:

What is the difference of 21x / 3x^2 - 2 and 7 / 3x^2 - 2. Show steps

Answers

Answer:

Final answer is [tex]\frac{21x-7}{3x^2-2}[/tex]

Step-by-step explanation:

We have been given two terms [tex]\frac{21x}{3x^2-2}[/tex]

and [tex]\frac{7}{3x^2-2}[/tex]

Now we need to find their difference. So let's subtract them

[tex]\frac{21x}{3x^2-2}-\frac{7}{3x^2-2}[/tex]

Denominators are equal so we can easily subtract numerators

[tex]=\frac{21x-7}{3x^2-2}[/tex]

We may factor the numerator but we won't get any factor in denominator that can be cancelled with numerator.

Hence final answer is [tex]\frac{21x-7}{3x^2-2}[/tex]

20 points. It’s in the picture. Right answer only please

Answers

I believe it’s B. hope it’s right!

25) A group of 35 people are going to run a
race. The top three runners earn gold,
silver, and bronze medals.
A) Permutation: 39,270
B) Combination: 78,540
© Combination: 19.635
Permutation: 157,080​

Answers

Answer:

A

Step-by-step explanation:

There are calculators online that you can use to answer this, some even show you the work step by step

A ball is thrown with a slingshot at a velocity of 110 ft./sec. at an angle 20 degrees above the ground from a height of 4.5 ft. Approximately how long does it take for the ball to hit the ground? Acceleration due to gravity is 32 ft./s^2.


A. 2.35 seconds
B. 2.47 seconds
C. 6.46 seconds
D. 6.50 seconds

Answers

Answer:

T= 2.35 seconds

Step-by-step explanation:

⇒The question is on the time of flight.

⇒Time of flight is the time taken for a projected object to reach the ground.It depends on the projectile angle and the initial velocity of the projectile

Given;

Initial velocity of ball= 110ft./sec.

The projectile angle= 20°

Acceleration due to gravity, g=32 ft./s²

⇒Formulae for time of fright T= (2×u×sin Ф)/g

Where T=time of fright, u=initial velocity of projectile, Ф=projectile angle and g=acceleration due o gravity.

Substituting values

T= (2×u×sin Ф)/g

T=( 2×110×sin 20°) / 32

T= 2.35 seconds

Answer:

Option B - Time taken for the ball to hit the ground is 2.47 seconds.

Step-by-step explanation:

Given :  A ball is thrown with a slingshot at a velocity of 110 ft./sec. at an angle 20 degrees above the ground from a height of 4.5 ft.

To find : How long does it take for the ball to hit the ground?

Solution :

According to question,

The equation that models the height of the ball in feet as a function of time is

[tex]h(t) = h_0 + v_0t -16t^2[/tex]

Where, [tex]h_0[/tex] is the initial height,

[tex]v_0[/tex] is the initial velocity and

t is the time in seconds.

We have given,

Initial height, [tex]h_0=4.5 ft.[/tex]

A ball is thrown with a slingshot at a velocity of 110 ft./sec. at an angle 20 degrees.

The initial speed, [tex]v_0=110\times \sin(206\circ)[/tex]

[tex]v_0=37.62ft/s[/tex]

We have to find the time for the ball to hit the ground i.e. h(t)=0

Substitute all the values in the formula,

[tex]0 =4.5+ 37.62t -16t^2[/tex]

Applying quadratic formula to solve the equation,

The solution of quadratic general equation [tex]ax^2+bc+c=0[/tex] is

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Where, a=-16 , b=37.62 , c=4.5

Substituting in the formula,

[tex]t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}[/tex]

[tex]t=\frac{-37.62\±\sqrt{1703.2644}}{-32}[/tex]

[tex]t=\frac{-37.62\±41.270}{-32}[/tex]

[tex]t=\frac{-37.62+41.270}{-32},\frac{-37.62-41.270}{-32}[/tex]

[tex]t=-0.114,2.47[/tex]

neglecting the negative value

t=2.47 seconds

Therefore,Option B is correct.

Time taken for the ball to hit the ground is 2.47 seconds.

Elroy and Rose are at Schematic to buy a school planner. There are 333 colors (purple, red, and blue) and 222 formats (lined and unlined) offered. They each created a display to represent the sample space of randomly picking a color and a format.

Answers

Answer:

Both

Step-by-step explanation:

The total number of options that will be are 6. The representation made by both Elroy and Rose is correct.

What is the total number of options available?

The total number of options available is the product of a total number of options available in different sectors.

Given that number of colors is 3 while the number of formats is two. Therefore, the total number of options that are available will be 6 which is the product of the two.

As we can see that both have pointed out each of the six options, therefore, the representation made by both Elroy and Rose is correct.

Learn more about Number of options:

https://brainly.com/question/11185799

The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when its width y is 11 units? A. No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y b. No, the rectangle cannot have x = 60 and y = 11 because x = 24 + 2y c. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 48 d. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 24

Answers

Answer:

A

Step-by-step explanation:

The formula for the Perimeter of a rectangle is P = 2W + 2L.

Let's equate this to 60 units and substitute 11 for W and 24 units for L:

2(11 units) + 2(24 units) = 22 units + 48 units = 70 units.  NO (Answer A)

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Which situation involves descriptive statistics?

Answers

Answer:

The median price of a new home

Step-by-step explanation:

2 fair dice are rolled. what is the probability that the sum is even given that the first die is rolled is a 2?

Wouldnt you add 6+6=12 then divide that with the probability of getting a 2?

Answers

The answer as a fraction is 1/2In decimal form the answer converts to 0.5 which is equivalent to 50%

===================================================

Explanation:

"given that the first die rolled is a 2" means we know 100% that the first die shows a 2. Either we can see the die or a friend is telling us the status. Since we know the first die is a 2, this means we can effectively ignore it. Everything will hinge on the second die. If the second die shows an odd number, something like 1, then 2+1 = 3 is the result which is also odd.

The general rule is odd+even = odd and even+even = even.

Therefore, the two dice must together be even for the sum to be even.

Of the six possible ways to roll a die {1,2,3,4,5,6}, there are 3 even values {2,4,6} so the chances of rolling an even number on the second die is 3/6 = 1/2. Again we dont need to consider the first die at all since everything practically hinges on this second die.

Answer:

50%

Step-by-step explanation:

For the total to be even, when the first number is even, the second number also has to be even.

2, 4, and 6 are even, out of 6 numbers. That is 3 numbers out of 6, which gives us that the probability is 1 out of 2, or 50%.

A sinusoidal source is usually described by the function cos(ωt+ϕ), where the units of the frequency ω are radians/second and the units of the phase angle ϕ are degrees. this means that the product ωt has the units radians, which cannot be added to the phase angle in degrees. to evaluate the value of the sinusoidal source at a given time, you must transform the product ωt to degrees or the phase angle to radians before performing the addition in the cosine argument. if the voltage source is given by v(t)=50cos(2000t−45∘) mv, find v(392.7 μs). express your answer with the appropriate units.

Answers

Answer:

49.999999999999974312306505198184 V

Step-by-step explanation:

Step 1: you see 45°, which gives you a easy conversion [tex]\frac \pi 4[/tex]).

Now, [tex]t = 392.7 \mu s = 392.7* 10^{-6} s[/tex], start replacing.

[tex]V= 50 cos ( 2* 10^3 * 392.7 *10^{-6} -\frac \pi 4) = 50 cos (0.7854 - \frac \pi 4) =\\ 49.999999999999974312306505198184 V[/tex]

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