A television screen has a length of 33 ft and a width of 45 ft. A second television is similar to the first television. The second television is 51 ft. wide. What is the length of the second television? (Decimal Answer)

Length of the second television = ____ft

To express x and y in terms of trigonometric ratios of θ, we need to use the definitions of sine, cosine, and tangent ratios.

Let's assume that θ is an acute angle in a right triangle with hypotenuse of length 1. Then, we have:

sin θ = opposite/hypotenuse = y/1 = y
cos θ = adjacent/hypotenuse = x/1 = x
tan θ = opposite/adjacent = y/x

Therefore, we can express x and y in terms of trigonometric ratios of θ as follows:

x = cos θ
y = sin θ

Alternatively, if we are given the value of one trigonometric ratio and we need to find the others, we can use the Pythagorean identity:

sin^2 θ + cos^2 θ = 1

From this, we can derive:

cos^2 θ = 1 - sin^2 θ
sin^2 θ = 1 - cos^2 θ

And then use the definitions of tangent and cotangent ratios:

tan θ = sin θ/cos θ
cot θ = cos θ/sin θ = 1/tan θ

Hope this helps!
To express x and y in terms of trigonometric ratios of θ, we will use the basic trigonometric ratios: sine (sin), cosine (cos), and tangent (tan). In a right-angled triangle, we have:

1. sin(θ) = opposite side / hypotenuse
2. cos(θ) = adjacent side / hypotenuse
3. tan(θ) = opposite side / adjacent side

Assuming x is the adjacent side and y is the opposite side in relation to angle θ, and the hypotenuse is denoted by r, we can express x and y in terms of trigonometric ratios of θ as follows:

Step 1: Solve for x using the cosine ratio:
x = r * cos(θ)

Step 2: Solve for y using the sine ratio:
y = r * sin(θ)

So, x and y are expressed in terms of trigonometric ratios of θ as x = r*cos(θ) and y = r*sin(θ).

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The value of a and b is 1.

The probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is ab, where a and b are integers.

To find the value of a and b, we need to determine the total number of ways Nate can place the disk (the denominator of the probability fraction) and the number of ways he can place the disk so that it touches an equal number of shaded and unshaded squares (the numerator of the probability fraction).

Since the center of the circle must be at the meeting point of four squares, the only possible places for the center are the points where four squares meet. Since the grid is made of 2 cm x 2 cm squares, there are 4 shaded squares and 4 unshaded squares. So, there are 4 centers that could be placed on a shaded square and 4 centers that could be placed on an unshaded square.

So the denominator of the probability fraction is 8.

Now, to calculate the numerator, we need to determine the number of ways Nate can place the disk so that it touches an equal number of shaded and unshaded squares.

As the center of the circle is at the meeting point of four squares, the center of the circle is placed at the intersection of 2 shaded and 2 unshaded squares.

So, the numerator of the probability fraction is 8.

Therefore, the probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is 8 ÷ 8 =1.

So the value of a and b is 1.

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Answer:

20

Step-by-step explanation:

90-50=40... therefor X must equal 20

Answer:

Bdgetyeyreg2qqwwwe 32233

Answer:

The cup holds 26.2 in3 more ice cream than the cone.

Step-by-step explanation:

1. Let's find the volume of ice cream that the cone holds, this way:

Volume = π * r² * h/3

Replacing with the real values, we have:

Volume = 3.14 * 2.5² * 5/3

Volume =32.7 inches³

2. Let's find the volume of ice cream that the cup holds, this way:

Volume = π * r² * h

Diameter = 5 inches ⇒ Radius = 2.5 inches

Replacing with the real values, we have:

Volume = 3.14 * 2.5² * 3

Volume =58.9 inches³

3. Let's find the difference, this way:

Volume of the cup - volume of the cone = 58.9 - 32.7 = 26.2 inches³

The cup holds 26.2 in³  more ice cream than the cone.

Answer:

C basta Yan ang sagot HAHAHA dko mapicturan solution ko e

Step-by-step explanation:

Answer:

c 0.6

Step-by-step explanation:

lol

The sum of the interior angles of the 12-sided object without measuring the sides is 1800 degrees.

A polygon is a shape with 4 or more sides. Hence a 12-sided figure will be regarded as a polygon.

I will let them understand that the formula for calculating the sum of the interior angle of a regular polygon is expressed using the formula;

S = (n-2)*180 where:

n is the number of sides

Since we are considering a 12-sided object, then n = 12

The next thing is to tell them to substitute n = 12 into the formula given above as shown;

S = (12-2)*180

S = 10 * 180

S = 1800

This shows that the sum of the interior angles of the 12-sided object without measuring the sides is 1800 degrees.

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The probability that 5 individuals from New York and 9 from Louisiana accept to be given a free one-way ticket back to where they came from in order to avoid being arrested is 0.234375 or approximately 23.44%.

Assuming that there are a total of 28 individuals in the shelter (12 from New York and 16 from Louisiana), we can calculate the probability of 5 individuals from New York and 9 from Louisiana accepting the free one-way ticket.

First, we calculate the probability of an individual from New York accepting the ticket, which would be 5 out of 12. The probability can be calculated as P(NY) = 5/12.

Similarly, the probability of an individual from Louisiana accepting the ticket is 9 out of 16, which can be calculated as P(LA) = 9/16.

Since the events are independent, we can multiply the probabilities to find the joint probability of both events occurring:

P(NY and LA) = P(NY) * P(LA) = (5/12) * (9/16) = 0.234375.

Therefore, the probability that 5 individuals from New York and 9 from Louisiana accept the free one-way ticket is approximately 0.234375, or 23.44%.

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The total pounds of fruits bought if he buys 2 pounds of apples and 3 pounds of blueberries is $16.75.

The total pounds of fruits bought if he buys x pounds of apples and y pounds of blueberries is $3.50x + $3.25y.

The total pounds of fruits bought = (pounds of apples x cost per pound) +  (pounds of blueberries x cost per pound)

($3.50 x 2) + (3.25 x 3)

$ 7 + 9.75 = $16.75

($3.50 x x) + (3.25 x y)

$3.50x + $3.25y

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The rate of change of the area when the radius is 2 centimeters is 32π square centimeters per minute.

To find the rate of change of the area of a circle with respect to its radius, we can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius.

We are given that the radius is increasing at a rate of 8 centimeters per minute, so we can express this as dr/dt = 8 cm/min.

To find the rate of change of the area when the radius is 2 centimeters, we need to differentiate the area formula with respect to the radius:

dA/dt = d/dt (πr²)

Using the chain rule, we have:

dA/dt = dA/dr * dr/dt

Since we want to find the rate of change of the area when the radius is 2 centimeters, we substitute r = 2 into the derivative:

dA/dt = dA/dr * dr/dt = (π(2)²) * 8 = 4π * 8 = 32π

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Answer: Yes, they can.

Step-by-step explanation: Since quarters weigh 0.2 oz. 1 dollar weighs 0.8 oz. 0.8x150=120oz. 120ozs is about 7.5 pounds, so yes.

The probability that the Yankees would score fewer than 5 runs when they win the game is 0.32.

Let the events be A: Yankees win a game

B: Yankees score 5 or more runs

C: Yankees lose a game

D: Yankees score fewer than 5 runs

We are given the following probabilities:

P(A) = 0.56 (probability of winning)

P(B) = 0.46 (probability of scoring 5 or more runs)

P(C and D) = 0.32 (probability of losing and scoring fewer than 5 runs)

We want to find the probability of scoring fewer than 5 runs when they win the game, which is P(D|A).

We can use Bayes' theorem to find this probability:

P(D|A) = P(A and D) / P(A)

Using the definition of conditional probability:

P(D|A) = P(D and A) / P(A)

We know that P(D and C) = P(C and D), as both events represent the same outcome.

Using the fact that the sum of the probabilities of mutually exclusive events is equal to 1:

P(D and C) + P(B and C) = 1

Rearranging the equation:

P(D and C) = 1 - P(B and C)

Now, let's find P(D and A):

P(D and A) = P(D and A and C) + P(D and A and not C)

P(D and A) = P(D and A and C) + 0

P(D and A) = P(C and D and A)

Substituting the probabilities we have:

P(D|A) = P(C and D) / P(A)

P(D|A) = P(C and D) / P(C and D) + P(B and C)

P(D|A) = 0.32 / (0.32 + P(B and C))

We need to find P(B and C), which we can calculate using the given probabilities:

P(B and C) = P(C and B)

P(B and C) = P(C) - P(C and D)

P(B and C) = 1 - P(C and D)

P(B and C) = 1 - 0.32

P(B and C) = 0.68

Now we can substitute this value into the equation:

P(D|A) = 0.32 / (0.32 + 0.68)

P(D|A) = 0.32 / 1

P(D|A) = 0.32

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Answer: 26.6 repeating number or 26 2/3

Step-by-step explanation:

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

Explanation:

The Poisson PDF value is given by the function

P(x) = ( e^(-mu)*mu^x )/(x!)

where the exclamation mark indicates a factorial

In this case, mu = 4, so we can update the equation into

P(x) = ( e^(-4)*4^x )/(x!)

Now plug in x = 3 to finish off the problem

P(x) = ( e^(-4)*4^x )/(x!)

P(3) = ( e^(-4)*4^3 )/(3!)

P(3) = 0.1953668148129

P(3) = 0.20

Note: The 'e' is a special constant which is approximately e = 2.718, similar to how pi = 3.14 is a constant used often.

Answer:

Joe spent $3 on peaches

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The first is by Angle - Side - Side

The second is by Angle - Angle - Side

The third one is by Side - Angle - Side

The forth is by Side - Side - Side

we have the equation

3y^2 - 6y = 1

equate to zero

3y^2 - 6y - 1=0

a=3

b=-6

c=-1

substitute the given values in the formula

simplify

the solutions for y are

and

The total surface area of the rectangular prism is 24 * 2 + 36 * 2 + 6 * 2 = 72 + 72 + 12 = 156 square yards.

The surface area of a rectangular prism is given by the sum of the areas of its six faces. To find the surface area of a rectangular prism that is 3 yards long, 2 yards wide, and 12 yards high, we need to find the area of each of its four rectangular faces and then add these areas together.

First, we find the area of the two faces that are 2 yards wide and 12 yards high. Each of these faces has an area of 2 * 12 = 24 square yards.

Next, we find the area of the two faces that are 3 yards long and 12 yards high. Each of these faces has an area of 3 * 12 = 36 square yards.

Finally, we find the area of the two faces that are 3 yards long and 2 yards wide. Each of these faces has an area of 3 * 2 = 6 square yards.

So, the total surface area of the rectangular prism is 24 * 2 + 36 * 2 + 6 * 2 = 72 + 72 + 12 = 156 square yards.

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Answer:

Answer:

\(P(x,y) = (0,7)\)

Step-by-step explanation:

Given

\(J = (-4,11)\)

\(K = (8,-1)\)

\(JP:JK = 1/3\)

Required

Determine the coordinates of P

\(JP:JK = 1/3\)

Represent as ratio

\(JP:JK = 1:3\)

Next, is to determine \(JP:PK\)

\(PK = JK - JP\)

So,

\(JP : PK = 1 : 3 -1\)

\(JP : PK = 1 : 2\)

The coordinates of P can be calculated using:

\(P(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})\)

In this case:

\((x_1,y_1) = (-4,11)\)

\((x_2,y_2) = (8,-1)\)

\(m:n = 1:2\)

So:

\(P(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})\)

\(P(x,y) = (\frac{1 * 8 + 2 * -4}{1 + 2},\frac{1 * -1 + 2 * 11}{1 + 2})\)

\(P(x,y) = (\frac{0}{3},\frac{21}{3})\)

\(P(x,y) = (0,7)\)

Hence, the coordinates of P: \(P(x,y) = (0,7)\)

Answer:

\(\boxed{D = 8.5 \ units}\)

Step-by-step explanation:

The coordinates are (5,7) and (-3,4)

Distance Formula = \(\sqrt{(x2-x1)^2+(y2-y1)^2}\)

D = \(\sqrt{(-3-5)^2+(4-7)^2}\)

D = \(\sqrt{(-8)^2+(-3)^2}\)

D = \(\sqrt{64+9}\)

D = \(\sqrt{73}\)

D = 8.5 units

Answer:

Step-by-step explanation:

Rounded to the nearest ten = 3,870

Rounded to the nearest hundred = 3,900

Rounded to the nearest thousand = 4,000

Hope this helps! <3

Elena's yearly cash inflows from the project after the payback period is $15,000. A correct answer is an option (b).

The payback period is the time it takes for the project's cash inflows to equal the initial investment. In this case, the payback period is 6 years, meaning that after 6 years, Elena will have received enough cash inflows to recover her initial investment of $150,000.

Since the project pays Elena an even amount per year for 10 years, and the payback period is 6 years, she will receive cash inflows for an additional 4 years after the payback period. Therefore, to calculate Elena's yearly cash inflows, we divide the remaining cash inflows by the number of years remaining:

Remaining cash inflows = $150,000 (initial investment) - cash inflows received during the payback period

= $150,000 - ($15,000 x 6)

= $60,000

Yearly cash inflows = Remaining cash inflows/number of years remaining

= $60,000 / 4

= $15,000

Hence, B is the correct option.

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Answer:

Step-by-step explanation:

1soccer=$1.05

4soccer=4*1.05=4.2

20-4.2=$15.8

he will get $15.8

Answer:

15.8

Step-by-step explanation:

1.05×4=4.2

20-4.2=15.8

Two units down, line of symmetry at x=0, decreasing from negative infinity to 0, increasing from 0 to infinity

Answer:

The answer is C

Step-by-step explanation:

(-1,-1) when put into both equations are the same thing.

Answer:

$150

Step-by-step explanation:

CP = 100/(100 - L%) × SP

CP = 100/(100 - 20) × 120

CP = 100/80 × 120

CP = 5/4 × 120

CP = 5 × 30

CP = $150

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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Answer:

41 degrees

Step-by-step explanation:

82/2 = 41