2
The size of a TV is the diagonal
measurement of its screen. Will a
46-inch TV fit in a rectangular cabinet
measuring 32 inches long and
28 inches high? Explain.

Answers

Answer 1

Answer:

Use the Pythagorean Theorem to calculate the length of the sides of a right triangle. A TV cut in half on the diagonal is a right triangle.

a^2 + b^2 = c^2

a is the width of the TV

b is the height of the TV

c is the diagonal size of the TV

a is equal to the length of b plus 15, and c is equal to 75. If we out those values into the formula, we get this:

(b+15)^2 + (b)^2 = (75)^2

Factoring that out, we get:

(b)^2 + 225 + (b)^2 = 5625

Then..

2b^2 = 5625 - 225

2b^2 = 5400

b^2 = 5400/2

b^2 = 2700

b = ✓2700

b = 51.9615242271 (round it to an even 52)

Next, we know that a = b + 15, so a = 67.

Therefore, the width of the TV is 67 inches, the height is 52 inches, the diagonal is 75 inches, and you have a very strangely shaped television with a 1.288 (approximately 5:4) aspect ratio. Older “square” TVs mostly had a 1.33 (4:3) ratio, and new TVs are usually either 16:9 (1.77) or 21:9 (2.33). While it's not impossible that you have an old square TV with a 75 inch diagonal, it's pretty unlikely…

Step-by-step explanation:


Related Questions

What does 4 mean in maths?

Answers

The meaning of the 4! ( factorial ) in mathematics is equal to                    ( 4 × 3 × 2 × 1 ).

As given in the question,

Given expression in mathematics is written as :

4! ( factorial )

In standard form meaning of the n! ( factorial ) is given by multiplication of all the terms in decreasing order till 1.

It is expressed as:

n! = n × ( n - 1 ) × ( n - 2 ) × ( n - 3 ) × ........× 3 × 2 × (n - (n - 1) ).

Apply this formula for 4! ( factorial ) we get,

4! ( factorial )

= 4 × ( 4 - 1 ) × ( 4 - 2 ) ×( 4 - 3)

= 4 × 3 × 2 × 1

= 12

Therefore, the meaning of 4! ( factorial ) in mathematics is given by

4 × 3 × 2 × 1 .

The above question is incomplete , the complete question is :

What does 4! ( factorial ) mean in mathematics?

learn more about factorial here

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Find the measure of the indicated angle. Need help please.
I need explanation too
PLEASE NO LINKS I WILL REPORT YOU

Answers

Answer:

AC=35

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin54=AC/43

AC=43sin54

AC=34.78≈35

What is a real value number?

Answers

Real value numbers are both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc are all real numbers.

What is a real number in mathematics?

The real number that consist of different types of numbers for example prime numbers, odd numbers, even numbers, rational numbers, whole numbers, etc. These numbers can be expressed in the form of figures.Any number that we can think except complex numbers is a real number.

How many types of real numbers?

Real numbers encompass three classifications of numbers.Whole numbers, rational numbers, and irrational numbers are all real numbers.Even counting and natural number are all real numbers.

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Help me pleaseeeeeeeee!!!

Answers

0.08/0.2 and 0.2/0.8 are not proportional.

What is proportionality?

A proportion is an equality of two ratios. We write proportions to help us establish equivalent ratios and solve for unknown quantities.

Given are two numbers, 0.08/0.2 and 0.2/0.8

Checking for if they are proportional or not,

0.08/0.2

Multiplying denominator and numerator by 100,

8/20 = 2/5

And,

0.2/0.8 = 1/4

Since, 0.08/0.2 ≠ 0.2/0.8

Hence, 0.08/0.2 and 0.2/0.8 are not proportional.

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Carmen uses 2/7 of a bag of flour to make 1/2 of a batch of her special homemade cookies. How many bags of flour does it take to make 3 batches of the cookies?

Answers

Answer:

12/7 or 1 5/7

Step-by-step explanation:

2/7=1/2, so 4/7=1. multiply 4 by three, since one times three equals three.

convert 20% profit into profit amount

Answers

Answer: To convert 20% profit into a profit amount, you would multiply 20% by the revenue or cost of the item or service.

Let's say,

You have revenue of $1000

So,

20/100 * 1000 = $200

So the 20% profit on the revenue of $1000 is $200.

It's important to note that profit is the amount of money you make after you subtract your costs from your revenue. It's the amount you have left after all the expenses, taxes and other deductions are made.

Step-by-step explanation:

What is an inverse variation graph called?

Answers

The graph of the inverse variation equation is called a rectangular hyperbola.

A form of proportionality called inverse variation occurs when one number falls as the other rises or the other way around. This suggests that if one number rises while the other decreases, the magnitude or absolute value of the first quantity will decrease, resulting in a constant product. The constant of proportionality is another name for this item.

An inverse variation is a relationship between two variables in which the product is constant; as a result, while one of the variables changes, the other changes correspondingly to maintain the same value of the product. This connection has the form of a hyperbola.

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david mowed 2/3 of the yard in 1/2 hour how long will it take him to mow the whole yard?

Answers

Answer:

Step-by-step explanation: It would take him 15 minutes more to mow the whole yard

1/2 hour is 30 mins divided by 2 which is 15 mines times 3 is 45 mins total mins

What is the explanation please help me

Answers

Answer:

Yes. If the first friend descended 0.11 mile (-0.11) and the second friend descended 0.12 mile (-0.12), then the second friend had to have caught up to the first friend knowing that the second friend descended at least 0.11 mile. Hope this helps :)

Step-by-step explanation:

Solve for x. Leave your answer in simplest radical form.
15 in
X

Answers

Answer:

√124

Step-by-step explanation:

a^2+b^2=c^2

x^2+101= 225

x^2= 225-101

x^2= √124

Question 1
Find the distance: Speed = 99 km/h,
Time = 40 mins

Answers

Distance = speed x time

Distance = 99 x 40

Distance = 3,960

Answer:

40 minute = 40 : 60 hours

= 4/6 [÷10]

= 2/3 [÷2]

distance = speed × time

distance = 99 kilometers/hours × 2/3 hours

distance = 33 × 2

distance = 66km

Order of operation help I have 4 min left on my timer . NO LINKS

Answers

Answer:

13

Step-by-step explanation:

Just In case you want explanation-

1. 4 squared Meaning 4 x 4 = 16

2. 16 x 6 = 96

3x 6 = 18

96- 18 = 78

in the denominator, 25/ 5 = 5

11 minus 5 = 6

78 divided by 6

it gives you 13

Answer:

13

Step-by-step explanation:

Order of operations:

Parenthesis, exponents, multiplication and division, addition and subtraction

Please help me due in 1 hour, i'll give 5 stars and lots of points.
this table shows how many males and females attended two different movies.

Answers

The answer is D. Divide 124 (the number of males that attended drama movies) by 275 (the total number of males and females that attended a drama movie) to find the frequency of being a male and watching a drama movie.

Answer:

B

Step-by-step explanation:

Order these numbers from least to greatest.
6.1031, 6.203, 6.1, 6.23

Answers

Answer:

6.2300, 6.2030, 6.1031, 6.1000

Step-by-step explanation:

Answer:

6.1, 6.1031, 6.203, 6.23

if 2/3 x - 1=4, then x =?

Answers

x = 7.5
or
x = 7 1/2

What are the roots of the equation x² - 10x +34 = 0 in simplest
a + bi form?

Answers

The roots of the equation x^2 - 10x + 34 = 0 can be found by using the quadratic formula:

x = (10 +/- sqrt(10^2 - 4134)) / (2*1)

This simplifies to:

x = (10 +/- sqrt(100 - 136)) / 2

The square root of a negative number is equal to a complex number in the form a + bi, where a and b are real numbers and i is the square root of -1. Therefore, the roots of the equation x^2 - 10x + 34 = 0 are:

x = (-10 + sqrt(-36)) / 2 = (-5 + 3i) / 2 = -2.5 + 1.5i

x = (-10 - sqrt(-36)) / 2 = (-5 - 3i) / 2 = -2.5 - 1.5i

In simplest a + bi form, the roots of the equation are -2.5 + 1.5i and -2.5 - 1.5i.

3x + 2y = 5
x = 2y + 7

Answers

Answer:

I hope this helps you...

please mark me as brainliest..

Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for this object's height h(t) at time t seconds after launch is h(t) = -16t2 + 80t. a. Find the vertex. Explain what this means in the context of the situation

Answers

Answer:

Vertex (-2.5,-300)

Step-by-step explanation:

We are given with h(t)=-16 t^2 +80 t.  We are asked to find the vertex.

X-coordinate of vertex =[tex]\frac{-b}{2a}[/tex]

Where 'a' is coefficient of [tex]t^{2}[/tex] term

'b' is coefficient of 't' term.

From given function, a= -16

b=80

So,

x-coordinate of vertex =[tex]\frac{-80}{2(-16)}[/tex]

                                =-2.5

y-coordinate of vertex =[tex]-16(-2.5)^{2} +80(-2.5)[/tex]

Simplify it,

            =-100 -200

           = -300

So, vertex is at (-2.5, -300).

The perimeter of a rectangle is 84cm and it's length is 6cm longer than it's breadth. Find the length and breadth of the rectangle

Answers

Answer:

Step-by-step explanation:

The perimeter of a rectangle is the sum of all its sides. Since the perimeter is given as 84 cm, we can set up the following equation to represent the problem:

2l + 2b = 84

Where l is the length of the rectangle and b is the breadth.

We are also told that the length is 6 cm longer than the breadth. We can represent this relationship with the equation:

l = b + 6

Substituting the second equation into the first equation, we get:

2(b + 6) + 2b = 84

Expanding the left side of the equation gives:

2b + 12 + 2b = 84

Combining as terms gives:

4b + 12 = 84

Subtracting 12 from both sides gives:

4b = 72

Dividing both sides by 4 gives:

b = 18

Substituting this value back into the equation l = b + 6 gives us:

l = 18 + 6

l = 24

Therefore, the length of the rectangle is 24 cm and the breadth is 18 cm.

A radioactive compound with mass 320 grams decays at a rate of 27% per hour. Which equation represents how many grams of the compound will remain after 7 hours?

Answers

Answer:

320 grams ÷ 27% = 8.3 grams

Step-by-step explanation:

mark brainliest plss

Math
On a grid, a middle school is located at ( − 5 , 3 ) , and a library is located at ( 2 , 3 ) . If 1 unit represents 1 mile on the grid, how far is the library from the middle school?

Answers

Answer:

14 miles

Step-by-step explanation:

there are 14 units in between point (-5,3) and (2,3), and since each unit is 1 mile it would be 14 miles.

Someone help plz make sure it’s right plz will mark brainiest

Answers

Answer:

Your answer is B, or the second one from the left

Answer: It would be the 2nd choice

PLEASE HELP 10 POINTS

Answers

Answer:

9.75

Step-by-step explanation:

3/4 |1/3x+2| < 6

you can turn the < into a =

then subtract 3/4 from 6 which leaves you with 5.25. And since you know 2 will always be positive because it's in an absolute value bracket 5.25-2=3.25. Which leaves you with

|1/3x| = 3.25

then do 3.25/(1/3) which leaves you with 9.75

:)

Will give brainliest if right

O C. 65
O D. 50

Answers

Answer:

D

Step-by-step explanation:

istg if one of yall roasts my dirty calculator

help ill give brainiest <3 dont guess

Answers

Answer:

rectangular prism, 6 faces, 8 vertices

Answer:

The figure is a rectangular prism with 6 faces, moreover, it has 8 vertices.

`y=7/(1,000)-(9x)/8` whats the y incercept

Answers

Answer = 7/1000 because when you write the given equation in y=Mx + b form, it’s written as -9/8x + 7/1000 and b represents the y-intercept

Mr.martland decides the length of his square vegetable garden will be 17 ft. He calculates that the area of the garden is 34 ft^2. is he correct?

Answers

Answer:

Nope

Step-by-step explanation:

If it is a square garden, all sides are equal. Area would be 17x17 and that would equal [tex]289^{2} ft[/tex] not 34

The Burj Khalifa building in Dubai, United Arab Emirates, is one of the tallest buildings in the world at 2,722 feet tall. An American football field is 360 feet in length. Approximately how many football fields tall is the Buri Khalifa building? Round to the nearest tenth.​

Answers

Answer:

7.5 which rounds to 8

Step-by-step explanation:

2,722 divided by 360 equals 7.56

check if needed <3

Write the expression as a single logarithm.


4logby + 3logbx

*Picture of Answers Below*

Answers

Answer:

A

Step-by-step explanation:

We first put in the coefficients of each log into the log using log laws

so 4 log b y would be log b y^4

3 log b x  would be log b x^3

we next use the addition log law

to find log b y^4 + log b x^3 = log b (y^4 * x^3)

and we are done now

the answer is A

if you found this helpful consider leaving a brainliest or a thanks

Answer:

[tex]log_{b} (y^{4} x^{3} )[/tex]

Step-by-step explanation:

Make a tree diagram to show sample space. Then select the total number of outcomes.
choosing black, blue or brown socks with boots, gym shoes or dress shoes
a. 3
C. 9
b. 6.
d. 12
PLEASE HELP

Answers

Answer:

C. 9

Step-by-step explanation:

3 sock options, 3 shoe options for each of those sock options.

3 x 3 = 9

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