Evaluate 1/6t+1/12 when t=1/2

Answer:

The perimeter of the new TV is approximately  95.32 inches

Step-by-step explanation:

The diagonal dimension of the original TV = 32 inches

The perimeter of the original TV = 87.16 inches

The diagonal dimension of the new TV = 70 inches

The perimeter of the new TV = 87.16 inches

For the original TV, we have;

Let w be the width of the original TV and l be the length of the original TV, we have;

2·w + 2·l = 87.16

√(w² + l²) = 32

Therefore, we have;

32² = w² + l²

w = (87.16 - 2·l)/2

w = 43.58 - l

32² = l² + (43.58 - l)²

l² + (43.58 - l)² - 32² = 0

l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0

2·l² - 87.16·l + 875.2164 = 0

By the quadratic formula, we have;

l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)

Therefore, l = 27.89 inches or l = 15.69

Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69

or w = (87.16 - 2× 15.69)/2 = 27.89

Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;

15.69/27.89

w₂/l₂ for the new TV = 15.69/27.89

∴ w₂ = l₂ × 15.69/27.89

w₂² + l₂² = 70²

∴ (l₂ × 15.69/27.89)² + l₂² = 70²

l₂² × (15.69/27.89)² + l₂² = 70²

l₂²((15.69/27.89)² + 1) = 70²

l₂² = 70²/((15.69/27.89)² + 1) = 3722.04

l₂ = √(3722.04) ≈ 61.0

w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32

Therefore;

The perimeter of the new TV = 34.32 + 61 = 95.32 inches.

In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:

The perimeter of the new TV is approximately  95.32 inches

So the data for this exercise is from:

Let w be the width of the original TV and l be the length of the original TV, we have;

[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]

Therefore, we have:

[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]

By the quadratic formula, we have;

[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]

Therefore:

[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]

Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;

w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]

[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]  

The perimeter of the new TV :

[tex]P = 34.32 + 61 = 95.32[/tex]

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Answer:

The drift angle is approximately 7.65° towards the East from the plane's heading

Step-by-step explanation:

The speed of the plane = 350 mph

The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction

The speed of the wind = 40 mph

The direction of the wind = S 70° E = 20° clockwise from the eastern direction

The component velocities of the plane are;

[tex]R_{Plane}[/tex] = (350 × cos 50)·i + (350 × sin 50)·j

[tex]R_{Wind}[/tex] = (40 + cos 20)·i - (40 × sin 40)·j

The resultant speed of the plane = [tex]R_{Plane}[/tex] + [tex]R_{Wind}[/tex] = 265.915·i +242.404·j

The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°

Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East

Answer: A. 5.89

Step-by-step explanation:

edge2020

Answer:

-3

Step-by-step explanation:

since it is a gap of 6 the first one gave ...so 3-6=-3

Answer:

$0.52 cents per banana. $39 divided by the 75 bananas

Step-by-step explanation:

Answer:

$0.52

Step-by-step explanation:

When finding the unit price, we use divide the certain number of units of an item by the number of units

So for this question we will divide 39/75 to get a result of $0.52

Answer:

Step-by-step explanation:

First we find the GCF or Greatest Common Factor

20: 1, 2, 4, 5, 10, 20

16: 1, 2, 4, 8, 16

As you can see 4 is the GCF (Greatest Common Factor)

so, the largest number of groups are 4

Unless you are asking for how many girls and boys can be fit in each group then,

20 ÷ 4 = 5

16 ÷ 4 = 4

So, 5 boys and 4 girls are in each group.

Answer:

It is 10 (m=10)

Step-by-step explanation:

3 (10-2) + 14                  Subtract whats in the parentheses

3 (8) + 14                        Multiply 3 and 8

24 + 14                             Add the remaining to get the sum ( 24 + 14 )

38           (Your total)

~~~Hope this helps~~~

Answer:

side angle side. Seems contrary

Answer:

side angle side. Seems contrary

Step-by-step explanation:

Answer:

Step-by-step explanation:

250 for place  4 for books each.

If they charge 14 per person, 4 of that goes for the books and 10 will be applied to the rental fee.

250/10= 25 people to break even. Any people beyond that  is a profit of 10.00 since the other 4 will still go to the books.

Answer:

x=21

Step-by-step explanation:

I think we are supposed to assume that is a right angle which means 90-6= 84

84/4= 21

Answer:

x = 4

Step-by-step explanation:

24 + 0.44x = 19 + 1.69x

24 + 0.44x - 1.69x = 19

-1.25x = 19 - 24

-1.25x = -5

x = 4

Step-by-step explanation:

24 + 0.44x = 19 + 1.69x

24 - 19 = 1.69x - 0.44x

5 = 1.25x

1.25x = 5

x = 5/1.25

= 4

The line of reflection is the vertical line x = 1.

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

The line of reflection is the vertical line passing through the midpoint of segment AA'.

Since A'(2,5) and A(-4,5) have the same y-coordinate, their midpoint is on the line y = 5.

Therefore, the line of reflection is the vertical line x = 1.

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Answer:

Recursive

Explicit

Step-by-step explanation:

An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.

The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.

Hence, we are relating the previous terms to define the nth term.

For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.

Answer:

600

Step-by-step explanation:

Answer:

the lcm of 3 and 5 is 15 I hope this helps

Step-by-step explanation:

Answer:

9. No

10. Yes

Step-by-step explanation:

The first one is not, since you have (3, 3) and (3, 9).  In a function, each x maps to a single y.

The second one is since every x appears only once.

The correct answer is f^-1(x)=1/2x+2.

1. Substitute y for f(x). ( y=2x+4 )

2. Interchange the variables x and y. ( x=2y-4 )

3. Swap the sides. ( 2y-4=x )

4. Move the constant to the right. ( 2y=x+4 )

5. Divide both sides by 2. ( y=1/2x+2 )

6. Use substitution to substitute f^-1(x) for y.

Thus the inverse is f^-1(x)=1/2x+2

Answer:

518

Step-by-step explanation:

P = 2

Q = 8

p3 + 64q

Multiply "p" (which is 2) with 3

Multiply "q" (which is 8) with 8

Add the two numbers you get

And you have you answer

I hope this helps. :)

Answer:

for more math help use the app called connects

Answer:

-5/2

Step-by-step explanation:

5x +2y = -15

-5x          -5x

2y = -5x - 15

y = -5/2x - 7.5

y = mx + b

Slope (m) = -5/2

down 5, right 2

Answer:

guitarist a&b I often their service to throne but each guitarist charge different intentional feeds and hourly rates how can the throne check to see when they will charge the same amount of money named three ways to perform this task answer

Answer:

look

Step-by-step explanation:

When she simplified her radical she put 5x*2x and 12 squared

what she should ahve done is 5x*4x^2 square 3x

Answer:

nile blue should be the correct answer

Step-by-step explanation:

Answer:

two

Step-by-step explanation:

ilxzc d cd cf trdc4rter

Answer:

mwe.n pa konen men tenyen ooooo

Answer:

They're equal; 17/34 as a decimal is 0.5

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Answer:

17/34 is actually equal to 0.5. So since your comparing it to the decimal o.5 they are both equal to each other (:

Step-by-step explanation:

Thank you for your timeeee

Answer:

A: cos x

B: cos y

C: tan y

Step-by-step explanation:

The missing value of A, B and C are as follow:

A: cos x

B: cos y

C: tan y

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

sin (x-y)/ cos (x- y)

Step 2:

= sin x cos y + cos x sin y / cos x cos y - sin x sin y

Step 3:

= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y

step 4:

= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷

  (cos x cos y / cos x cos y - sin x sin y / cos x cos y)

Step 5:

= tan x + tan y / 1- tan x tan y

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Answer:

I believe it's 11

Step-by-step explanation:

Sorry if I'm wrong

Answer:

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