The screen aspect of a widescreen tv is 16.9. What are the width and height of a 32 inch tv? Round answer to the nearest tenth of an inch.

Answers

Answer 1
check the picture below.

thus


[tex]\bf 32^2=w^2+\left( \cfrac{9w}{16} \right)^2\implies 32^2=w^2+\cfrac{(9w)^2}{16^2}\implies 32^2=w^2+\cfrac{9^2w^2}{16^2} \\\\\\ 32^2=\cfrac{16^2w^2+81w^2}{16^2}\implies 32^2\cdot 16^2=337w^2 \\\\\\ (32\cdot 16)^2=337w^2\implies \sqrt{(32\cdot 16)^2}=\sqrt{337w^2} \\\\\\ 32\cdot 16=w\sqrt{337}\implies \cfrac{32\cdot 16}{\sqrt{337}}=w\implies \boxed{\cfrac{512}{\sqrt{337}}=w}\\\\ -------------------------------\\\\[/tex]

and we can rationalize that to    [tex]\bf \cfrac{512}{\sqrt{337}}\cdot \cfrac{\sqrt{337}}{\sqrt{337}}\implies \boxed{\cfrac{512\sqrt{337}}{337}}[/tex]

thus, its height is    [tex]\bf h=\cfrac{9w}{16}\implies h=\cfrac{9}{16}\cdot \cfrac{512\sqrt{337}}{337}\implies \boxed{h=\cfrac{4608\sqrt{337}}{5392}}[/tex]
The Screen Aspect Of A Widescreen Tv Is 16.9. What Are The Width And Height Of A 32 Inch Tv? Round Answer

Related Questions

(Solve for x) -8 = -7 + x

Answers

-8 = -7 + x...add 7 to both sides
-8 + 7 = x
-1 = x <==

-8 + -7 +x

 add 7 to both sides

-1=x

so x = -1

PLEASE HELP! (8)/(5x) - (4)/(x^2) Show your work :)

Answers

see attached picture for answer

Is 202.98% greater than 1 or is 67.14% greater than 1?

Answers

Answer:

202.98% > 167.14% < 1

Step-by-step explanation:

100% = 1

202.98% is more than 100%, so is more than 1.

67.14% is less than 100%, so is less than 1.

Use the arc length formula and the given information to find r. Show your work for full credit. s = 8.1 ft θ = (3.14/3)rad r = ?

Answers

This question is simple I'm a little confused on the specifics so I will try my best to help.

s=θ(r)
arc length = angle x radius
2.46888m(or 8.1 ft) = (π/3) x r
[tex]r = (\pi /3)/2.46888[/tex]
[tex]r = .425m [/tex]

Answer:

The length of the radius is 7.74 ft.

Step-by-step explanation:

It is given that the length of arc is s=8.1 and central angle of arc is [tex]\theta=\frac{3.14}{3}[/tex] in radian.

The formula for arc length is

[tex]s=r\theta[/tex]

Where, s is length of arc, θ is central angle of arc in radian and r is the radius of the circle.

Substitute s=8.1 and [tex]\theta=\frac{3.14}{3}[/tex] in the above formula.

[tex]8.1=r\times \frac{3.14}{3}[/tex]

[tex]8.1=r\times 1.0467[/tex]

Divide both sides by 1.0467.

[tex]\frac{8.1}{1.0467}=r[/tex]

[tex]7.73860705073=r[/tex]

[tex]r\approx 7.74[/tex]

Therefore the value of r is 7.74 ft.

You accidentally dropped a coin from the top of 7 stairs. What is the probability that it will land below the sixth step and heads up?

Answers

1/7 * 1/2 = 1/14
1/2 because there is a 50/50% chance its either heads or tails 

Answer:

The probability that it will land below the sixth step and heads up is [tex]\frac{1}{14}[/tex]

Step-by-step explanation:

Given : You accidentally dropped a coin from the top of 7 stairs.

To find : What is the probability that it will land below the sixth step and heads up?                                                        

Solution :

A coin has two sides - head and tail.

Probability of getting head is

[tex]P(H)=\frac{1}{2}[/tex]

Total stairs are 7.

Coin will land below the sixth step i.e. it land on 7th step.

So, Probability of landing coin on below the sixth step is

[tex]P(L)=\frac{1}{7}[/tex]

Now, The probability that it will land below the sixth step and heads up is

[tex]P=\frac{1}{2}\times \frac{1}{7}[/tex]

[tex]P=\frac{1}{14}[/tex]

Therefore, The probability that it will land below the sixth step and heads up is [tex]\frac{1}{14}[/tex]

whats pie as in the math equation help me plus thanks

Answers

pie means 3.14 in a math eqution

some people use 22/7, some use 3.14

 it is used in formulas for circles

The height of a cone is equal to the diameter of the base. what expression represents the volume of the cone, in cubic units? πx3 πx2 2πx3 4πx3

Answers

The formula for a cone is given as:

V = π r^2 h / 3                    ---> 1

Where,

V = volume of the cone

r = radius of the circle base of the cone

h = is the perpendicular length from the center of the base of the cone to the tip at the top

 

It was given that:

h = d

but d = 2 r, therefore:

h = 2 r

Substituting this to equation 1:

V = π r^2 (2 r) / 3             

V = 2 π r^3 / 3

 

Since r = x, the answer from the choices is:

2πx3

The expression representing the volume of the cone is (2/3)πx^3, where x represents the cone's radius.

Step 1: Identify Key Information

We are given that the height (h) of the cone is equal to the diameter (d) of the base. The diameter is twice the radius (r).

Step 2: Apply Formula and Substitute

The formula for the volume of a cone is:

        Volume (V) = (1/3) * π * r^2 * h

Since h = d = 2r, we can substitute:

        V = (1/3) * π * r^2 * (2r)

Step 3: Simplify the Expression

V = (1/3) * π * r^2 * 2rV = (2/3) * π * r^3

Suppose the length of a rectangle is three time is three time the width. if we let x represent the width of the rectangle, what expression do we us to represent the length?

Answers

Since the length is three times the width (x), length = 3x
The length of a rectangle = 3 times the width.

If x is the width then:

l = 3x

Angelo family drove 254.6 miles their car used 19 gallons of gasoline describe the cars gas mileage

Answers

The gas mileage is usually expressed in terms of the ratio of the distance traveled of the vehicle to the amount of fuel used up. This is the basis of how far a vehicle could go according to its consumption of fuel. In this case, the gas mileage is:

Gas mileage = 254.6 miles/19 gallons
Gas mileage = 13.4 miles/gal
Final answer:

The Angelo family's car has a gas mileage of approximately 13.4 miles per gallon, calculated by dividing the total miles driven (254.6 miles) by the gasoline used (19 gallons).

Explanation:

A car's gas mileage is calculated by dividing the total number of miles driven by the amount of gasoline used. In this case, the Angelo family drove 254.6 miles and used 19 gallons of gasoline. So, to figure out their car's gas mileage, you would divide 254.6 miles by 19 gallons.

254.6 miles ÷ 19 gallons = 13.4 miles per gallon

Therefore, the gas mileage of the Angelo family's car is approximately 13.4 miles per gallon.

Learn more about Gas Mileage here:

https://brainly.com/question/33812030

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Find the distance between A and C. Simplify completely.

Answers

A = (1,3)

C = (-4,-4)

-4-1 =-5, -5@ = 25

-4-3 = -7, -7^2 = 49

25+49 = 74

 sqrt(74) = 8.602

 round answer as needed.

Identify the coefficient of 2xy3

Answers

The coefficient of 2xy3 is 2 
The coefficient of 2xy3 is 2

A sequence is defined recursively using the formula f(n+1)=-0.5f(n). If the first term on the sequence is 120, what is f(5)

Answers

[tex]f(n+1)=-0.5f(n)\\ f(1)=120\\\\ f(2)=-0,5\cdot120=-60\\ f(3)=-0,5\cdot(-60)=30\\ f(4)=-0.5\cdot 30=-15\\ f(5)=-0.5\cdot(-15)=7.5 [/tex]

F(n+1)=-0.5f(n)  120 f (5)

find the sum of the measures of the interior angles of a convex 20-gon

Answers

18 * 180 = 3240 degrees

If you'd like to know more, it is the number of sides - 2 multiplied by 180 degrees

Please help me on this one

Answers

south America = 2.2%

2.2% = 0.022

0.022 = 22/1000 which reduces to 11/500

A farmer owns 30 acres of land. Of the 30 acres, only 65% can be farmed. How many acres are available for farming?

Answers

Final answer:

To calculate the available farming land, 65% of the total 30 acres is determined, resulting in 19.5 acres available for farming.

Explanation:

To find out how many acres are available for farming, we need to calculate 65% of the total 30 acres of land the farmer owns.

The calculation is as follows:

Convert the percentage to a decimal by dividing by 100: 65% / 100 = 0.65.Multiply the total acres by the decimal: 30 acres × 0.65 = 19.5 acres.

Therefore, 19.5 acres of the farmer's land can be used for farming.

The probability that a train leaves on time is 0.4. The probability that the train arrives on time and leaves on time is 0.28. What is the probability that the train arrives on time, given that it leaves on time?

0.4
0.12
0.28
0.7

Answers

You need to use the conditional probability formula:
P(A|B) = P(A∩B) / P(B)
Key:
P(A|B): Probability of A given B
P(A∩B): Probability of A and B

If we say A is the event that the train arrives on time and B is the event that the train leaves on time, then according to the information:
P(B) = 0.4
P(A∩B) = 0.28
Just insert into the formula:
P(A|B) = 0.28 / 0.4 = 0.7
(or 70% as a percentage).
Final answer:

The probability that the train arrives on time, given that it leaves on time is 0.7

Explanation:

The question asks for the probability that the train arrives on time, given that it leaves on time. This is a conditional probability problem, and we can use the formula for conditional probability, which is P(A|B) = P(A and B)/P(B).

In this case, event A is the train arrives on time, event B is the train leaves on time. We know that P(A and B) = 0.28 (the probability that the train arrives on time and leaves on time) and P(B) = 0.4 (the probability that the train leaves on time).

By substituting these values into the formula, we get  P(A|B) = 0.28/0.4 = 0.7. So, the probability that the train arrives on time, given that it leaves on time is 0.7.

Learn more about Conditional Probability here:

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18 thousands times 10=

Answers

180,000. When multiplying anything by ten, just add a zero to the end.

Answer:

180,000.

Step-by-step explanation:

Given  : 18 thousands times 10.

To find : Solve .

Solution : We have given

18 thousands times 10.

According to question :

18 thousand = 18000.

10 Times of 18 thousand .

18000 *10 .

180,000.

Number would be 180,000

Therefore, 180,000.

Use the student's t distribution to find tc for a 0.95 confidence level when the sample is 29. (round your answer to three decimal places.)

Answers

Using a t distribution table you can easily find the t critical value in a very easy way just look for the confidence level which is 95% or the 5% significance level and look for the degrees of freedom which is 28 (just to remind you degrees of freedom is always -1, so if you have 29 – 1 you will get 28 and it is the degrees of freedom), then the t distribution should give you 2.048 for your t critical value. When you use the significance level here you need to subtract the 100% by your confidence level of 95% you will get the 5% then you should divide it to 2, you will get the .025 if it only a two-tailed test you will use the significance level.

What is the simplified form of the quantity y−squared minus y minus 12 over the quantity y−squared plus 8y plus 15?
PLEASE EXTRA POINTS

Answers

Y^2-y-12/y^2+8y+15=

(y-4)(y+3)/(y+3)(y+5)= 

The y+3 cancel out. Therefore: (y-4)/(y+5)

Grace and Jamal each bought notebooks for school. Grace bought 3 notebooks for $3.90 while Jamal bought 2 notebooks for $2.20. What was the unit price of each student's notebooks?

Answers

3.9/3=$1.30

2.2/2=$1.10

The unit prices are $1.30 and $1.10.
Hope this help!
The unit price for Grace book is $1.30 and Jamal is $1.10.

Write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1)

Answers

y - 1 = 2/3 (x - 1)
y - 1 = 2/3x - 2/3
2/3x - y = -1 + 2/3
2/3x - y = -1/3
2x - 3y = -1


eight more than the product of two and a number x

Answers

8+ 2x

hope this helps
your answer should be 2x+8

20 POINTS PLUS BRAINLIEST!! PLEASE HELP!

Write the first 4 terms of the sequence if a(4)=36 and a(n)=1/2a(n-1)+12.

A.
36, 30, 27, 25.5
B.
120, 72, 48, 36
C.
456, 216, 96, 36
D.
36, 48, 72, 120

Answers

first 4 terms of the sequence if a(4)=36 and a(n)=1/2a(n-1)+12

a(n)=1/2a(n-1)+12.
a(1)= 120
a(2) =1/2 (a1) +12 = 1/2 (120) + 12 = 60+ 12 = 72
a(3) =1/2 (a2) +12 = 1/2 (72) + 12 =  36 12 = 48
a(4) =1/2 (a3) +12 = 1/2 (48) + 12 = 24 + 12 = 36

answer is
B.
120, 72, 48, 36

Jorani flips two standard American quarters. How many ways can she get at least one head?

Answers

She can get at least one head 3 different ways 
3, I think

one head, one tails
one tails, one head
one head, one head

PLEASE HELP!! Find the measure of angle 2. Image attached

Answers

opposite angles need to equal 180

 so angle 2 = 180-111 = 69 degrees

How many real solutions are there for the function graphed below?


No Real Solution
1 Real Solution
2 Real Solutions
Infinite Number of Solutions

Answers

1.
A graph is formed by plotting all pairs (x,y), such that y is f(x), for a certain function f.

for example:

Take a look at the graph. (x, y)=(3, 5) is on the graph. This means that f(3)=5      (because f(x)=y)

2.
The real solutions of a function f, are those points x, such that f(x)=0.

in the graph we see no point (x, 0), so there are no real solutions.


Answer: No Real Solution

Let f( x)= sin(x) Let g(x)=cos(x) a) Sketch the graph of f^2 b) Sketch the graph of g^2 c) Sketch the graph of f^2+g^2

Answers

Final answer:

To sketch the graphs, square the y-values of sin(x) and cos(x) to get f^2(x) and g^2(x), respectively. Then, add the squared y-values of f(x) and g(x) to get f^2(x)+g^2(x). Plot the points obtained for each function and sketch the graphs.

Explanation:

a) To sketch the graph of f^2, we need to square every y-value of the function f(x)=sin(x). This means finding the square of the sine of each angle. For example, f^2(0)=sin^2(0)=0^2=0. By repeating this process for multiple angles, we can plot the points and sketch the graph.

b) Similarly, to sketch the graph of g^2, we need to square every y-value of the function g(x)=cos(x). This means finding the square of the cosine of each angle. For example, g^2(0)=cos^2(0)=1^2=1. By repeating this process for multiple angles, we can plot the points and sketch the graph.

c) To sketch the graph of f^2+g^2, we need to add the squared y-values of f(x) and g(x) at each angle. For example, f^2+g^2(0)=sin^2(0)+cos^2(0)=0^2+1^2=1. By repeating this process for multiple angles, we can plot the points and sketch the graph.

15-3 7/8
What is 15 minus 3 and 7 8ths

Answers

Solution of equqation 15 - 3 7/8 is 11 1/8.

To solve 15 - 3 7/8, you need to follow these steps:

Convert the mixed number 3 7/8 to an improper fraction.Subtract this fraction from 15.

First, convert 3 7/8 to an improper fraction:

3 7/8 = (3 * 8 + 7) / 8 = 31/8

Next, convert 15 to a fraction with a common denominator of 8:

15 = 120/8

Now you subtract the improper fraction from the whole number fraction:

120/8 - 31/8 = (120 - 31) / 8 = 89/8

Convert the result back to a mixed number:

89/8 = 11 1/8

So, 15 minus 3 and 7/8 is 11 1/8.

The sum of three consecutive odd integers is forty five written as an algebraic equation would be:
x + (x+1) + (x+3) = 45
True or False

Answers

False,

 the equation should be

x+ (x+2) +(x+4) = 45

The lengths of the sides of a triangle are in the extended ratio 1:2:5. The perimeter of the triangle is 32 ft. The length of the longest side is?

Answers

Given that the extended ratio of the lengths of the triangle is given by 1:2:5 and the perimeter is 32ft, the actual length will be as follows:
1+2+5=8
1/8*32=4 ft
2/8*32=8 ft
5/8*32=20 ft
Therefore we conclude that the longest side is 20 ft

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