A certain television is advertised as a 90- inch Tv ( the diagonal length).

A Certain Television Is Advertised As A 90- Inch Tv ( The Diagonal Length).

Answers

Answer 1

Answer:

The width is 64.3 inches

Step-by-step explanation:

Given

[tex]d = 90[/tex] --- diagonal

[tex]h = 63[/tex] --- height

Required

Determine the width (w) of the TV

To do this, we make use of Pythagoras theorem which is illustrated as:

[tex]d^2 = h^2 + w^2[/tex]

So, we have:

[tex]90^2 = 63^2 + w^2[/tex]

Evaluate all squares

[tex]8100 = 3969 + w^2[/tex]

Collect like terms

[tex]w^2 = 8100 - 3969[/tex]

[tex]w^2 = 4131[/tex]

Take positive square roots of both sides

[tex]w = \sqrt{4131[/tex]

[tex]w = 64.3[/tex] -- approximated


Related Questions

The surface area of a cylinder is 602.88. If the dimensions of the cylinder are
halved, what is the surface area of the new cylinder?
O A. 301.44
O B. 4823.04
O C. 2411.52
O D. 150.72

Answers

Answer:

you all have to divide by 2

Step-by-step explanation:

602.88÷2= 301.44

Find the difference or type
"impossible"
[3 –8] - [4 -5 -6]

Answers

Answer:

2

Step-by-step explanation:

(3-8)-(4-5-6)

(-5)-(-7)

-5+7

2

Using subtraction, the solution of the given equation is 2.

What is subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

= [3 - 8] - [4 - 5 - 6]

= [-5] - [4 - 11]

= -5 - [-7]

= -5 + 7

= 2

Learn more about subtraction here

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A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the first concert, 42% attended the second one, 30% attended the third one, 80% attended at least one of the three concerts, 10% attended the first and second ones, 8% attended the first and third ones, and 7% attended the second and third ones. Find the probability that a randomly selected audient attended all the concerts

Answers

Answer:

[tex]P(X\cap Y\cap Z)=0.05[/tex]

Step-by-step explanation:

From the question we are told that:

Percentage of audience in first concert [tex]P(X)=0.28[/tex]

Percentage of audience in second concert [tex]P(Y)=0.42[/tex]

Percentage of audience in third concert [tex]P(Z)=0.30[/tex]

Audience Percentage at at-least one concert [tex]P(X \cup Y \cup Z)=0.80[/tex]

Percentage of audience at first & second concert [tex]P(X \cap Y)=0.10[/tex]

Percentage of audience in first & third concert [tex]P(X \cap Z)=0.08[/tex]

Percentage of audience in second & third concert [tex]P(Y\cap Z)=0.07[/tex]

 

Generally the equation for probability of attending all concerts [tex]P(X\cap Y\cap Z)[/tex]is mathematically given by

[tex]P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)[/tex]

[tex]P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)[/tex]

[tex]P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70[/tex]

[tex]P(X\cap Y\cap Z)=0.05[/tex]

Therefore the probability that a randomly selected audient attended all the concerts

[tex]P(X\cap Y\cap Z)=0.05[/tex]

two angel measures in a triangle are 47 and 43. what type of triangle is it?

Answers

Answer:

Scalene triangle

Step-by-step explanation:

Because 2 angles in a triangle is not equal, so the 3rd angle cannot be equal.

Answer:

Two angle measures in a triangle are 47 and 43 so the remaining angle is 90 .

so it is a right angled triangle.

Step-by-step explanation:

Which of the following functions have a domain of ( -infinity, infinity) and a range of
(-2, infinity)?
Check all that apply.
A. f(x) = 0.25^x- 2
B. f(x) = 0.25^x+2
c. f(x) = 3^x – 2
D. f(x) = 3^x +2

Answers

Answer:

It would be answers A and C

Step-by-step explanation:

Notice both end in negative 2, matching your range, so you can't get that correct using either B or D

The functions having domain (-∞,∞) and range (-2,∞) are f(x)=[tex]0.25^{x}-2[/tex] and f(x)=[tex]3^{x}-2[/tex].

What is function?

A function is relationship between two or more variables expressed in equal to form .In a function each value of x must have a corresponding y value. The value of x is known as domain of the function and the value of y is known as range of function.

How to find function?

We have been given four functions and we have to find the functions having domain (-∞,∞) and range (-2,∞).

Taking f(x)=[tex]0.25^{x}-2[/tex]

f(0)=1-2

=-1

f(1)=0.25-2

=-1.75

f(2)=0.50-2

=-1.50

f(-2)=1/0.50-2

=1-1/0.50

=0

So this function has domain (-∞,∞) and range (-2,∞) because the value of function increases from -2 as the value of x increases.

Taking f(x)=[tex]0.25^{x}+2[/tex]

Because the above function is opposite of the first function so it behaves opposite as the function.

Taking f(x)=[tex]3^{x} -2[/tex]

f(0)=1-2

=-1

f(1)=3-2

=1

f(-2)=1/9-2

=(1-18)/9

=-17/9

=-1.8

This function also has domain (-∞,∞) and range  (-2,∞) because the value of increases from -2 as the value of x increases.

Next function is opposite from the third function so it behaves opposite to third function

Hence the functions having domain (-∞,∞) and range (-2,∞) are f(x)=[tex]0.25^{x}-2[/tex] and f(x)=[tex]3^{x}-2[/tex].

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Mother combined 7/4 cups of pancake mix and 3/4 cups of water to make pancake butter if she uses 1/4 of a cup of battte to make each pancake
how many pacakes can johny make

Answers

Answer:

10

Step-by-step explanation:

add the 7/4 and 3/4 which is 2 1/2. then divide 2 1/2 by 1/4

What is the place value of the 3 in 4.737?

Answers

It's the hundredths place (not hundreds).

Answer:

The place value of the 3 would be " Hundredths "

Step-by-step explanation:

The 4 would be 1's the 7 by the decimal would be tenths. The 3 would be hundredths, followed by the last 7 being thousandths

can u plz help me it’s for a test!! PLZ ANSWER 1 &2

Answers

Answer:

Step-by-step explanation:

number one is 10

number two is (c) they have the same median

Answer:

C/B

Step-by-step explanation:

test 1: 90 - 50 = 40

test 2: 100 - 40 = 60

60 - 40 = 20

test 1 is 60 and test 2 is 80

A 9-foot ladder leans against a building six feet above the ground. At what height would a 15-foot ladder touch the building if both ladder from the same angle with the ground

Answers

Answer:

Similar triangles

H/7 = 15/9

H = 11.7 feet.

my lil sis needs help asap

Answers

Answer:

Um... I'm guessing $14? Sorry If I'm wrong....

Step-by-step explanation:

Best of luck!

Have a nice day <3

( Srry I double checked and its acually 14)

Answer:

$14

Step-by-step explanation:

So Paul started off with twenty dollars. After he paid for his hat, he had only six dollars left. If you subtract 20 minus 6 you would get 14. Therefore he paid fourteen dollars for the hat.

Need help ASAP!!!
Solve for the missing angle.

Answers

Answer:

D 56

Step-by-step explanation:

cos x = 5/9

x = 56°

have a great day

Suppose there are three routes from North Point to Boulder Creek, four routes from Boulder Creek to Beaver Dam, four routes from Beaver Dam to Star Lake, and two routes directly from Boulder Creek to Star Lake. (Hint: Draw a sketch. Assume each route can pass through a city at most one time.) (a) How many routes from North Point to Star Lake pass through Beaver Dam? To answer this question, think of creating a route from North Point to Star Lake that passes through Beaver Dam as a 3-step process. Step 1: Choose a route from North Point to Boulder Creek . Step 2: Choose a route from Boulder Creek to Beaver Dam. Step 3: Choose a route from Beaver Dam to Star Lake. There are choices for step 1, choices for step 2, and choices for step 3. Thus, the answer is . (b) How many routes from North Point to Star Lake bypass Beaver Dam?

Answers

Answer:

(a) 36 routes

(b) 6 routes

Step-by-step explanation:

Given

[tex]North\ Point \to Boulder\ Creek = 3[/tex]

[tex]Boulder\ Creek \to Beaver\ Dam = 4[/tex]

[tex]Beaver\ Dam \to Star\ Lake= 4[/tex]

[tex]Boulder\ Creek\to Star\ Lake= 2[/tex]

Solving (a): From [tex]North\ Point[/tex] to [tex]Star\ Lake[/tex] through [tex]Beaver\ Dam[/tex]

To do this, we consider the following routes;

[tex]North\ Point \to Boulder\ Creek \to Beaver\ Dam \to Star\ Lake[/tex]

Taking a pair of routes, we have:

[tex]North\ Point \to Boulder\ Creek = 3[/tex]

[tex]Boulder\ Creek \to Beaver\ Dam = 4[/tex]

[tex]Beaver\ Dam \to Star\ Lake= 4[/tex]

By multiplication route, we have:

[tex]Routes = 3 * 4 * 3[/tex]

[tex]Routes = 36[/tex]

(b) From [tex]North\ Point[/tex] to [tex]Star\ Lake[/tex] bypass [tex]Beaver\ Dam[/tex]?

To do this, we consider the following routes

[tex]North\ Point \to Boulder\ Creek \to Star\ Lake[/tex]

Taking a pair of routes, we have:

[tex]North\ Point \to Boulder\ Creek = 3[/tex]

[tex]Boulder\ Creek\to Star\ Lake= 2[/tex]

By multiplication rule, we have:

[tex]Routes = 3 * 2[/tex]

[tex]Routes = 6[/tex]

Find the difference quotient
f(x+h)-f(x)
h
and simplify.
f(x) = -9x + 2
-9h
0-9h+4
Help ASAP no links

Answers

Answer:

-9

Step-by-step explanation:

This is the function of derivative by definition. Which means f(x+h)-f(h)/h=f’(x).

f(x)=-9x+2

f’(x)=-9

Which of the following is the correct order of the polynomial 4x^ 2 -6x^ 4 -x+2x^ 5 +1?

Answers

4x^2-6x^4+2x^5-x+1 is the correct order

HELP!!!

Maria, an experienced shipping clerk, can fill a certain order in 14 hours. Jim, a new clerk, needs 17 hours to do the same job. Working together, how long will it take them to fill the order?

Answers

15.5 hours is the answer

Answer:

i need help with this please help me Explain why the crossbreeding of bison and cattle is both a benefit and hindrance to conservation efforts aimed at protecting bison genetic diversity.

Step-by-step explanation:

The uniform cross section of a cabin storage compartment on a jet plane is a sector of a circle with radius 55cm, and angle Ө c . The container is 96 cm wide. The volume of the container is 0.2178 m3. What is the angle Өc?

Answers

Answer:

I don't recognize this problem, please make sure the input is complete.

Step-by-step explanation:

sry

Where is the blue dot on the number line? 0 0 - 5 - 5 5 5 ? ?

Answers

the blue dot is on -15 as each interval is 5

The blue dot is at -15 because the line is counting by fives rather than by ones, twos, threes, etc. So, when you count from the left from 0, it goes by -5, -10, -15 which is where the blue dot is. Hope this helps :)

Help plz if u can i would really like it

Answers

Answer:

you would subtract thoose numbers

Step-by-step explanation:

Yea subtract ajshjaksbdbsjsjsnd jansbsjsj

what is the absolute value of 10?​

Answers

Answer:

10

Step-by-step explanation:

abolute value= distance from zero 10 is 10 away from 0

Answer:

the answer is |10|

Step-by-step explanation:

absolute value is always positive

Cómo saco el volumen de un cilindro?:(

Answers

Step-by-step explanation:

La fórmula para hacer este cálculo es muy sencilla, ya que el cilindro es una forma geométrica simple. Se trata de V = hπr2, lo que significa que hallaremos el volumen al tener la altura (h) y el radio (r). Los dos círculos son del mismo tamaño, así que puedes utilizar cualquiera de ellos como base

What is the absolute mean deviation of this data?
1, 2, 3, 3, 4,5, 6, 8

Answers

Answer:

4/1/7 ( 4 and 1 over 7)

Step-by-step explanation:

First add all the numbers

1+2+3+4+5+6+8= 29

Finally you divide the total by counting the numbers which you have add up

29÷7

= 4/1/7 ( 4 and 1 over 7)

Mark me as the brainiest answer

Answer:

Step-by-step explanation:

1. Mean

1 + 2 + 3 + 3 + 4 + 5 + 6 + 8= 32

32/ how many numbers there are

32/ 8 . = 4

Mean = 4

1 2 3 3 4 5 6 8

3 2 1 1  0 1 2 4

3 + 2 + 1 + 1+0 + 1 + 2+ 4 =14

14/how many numbers there are

14/8 = 7/4 or in mixed form 1 3/4

4321 divided by 24 ?

Answers

180.0416667
But it can be rounded to 180

Find the area of this trapezoid:

Answers

Answer:

Pls add the image

Step-by-step explanation:

name three of the main powers of the executive branch

Answers

The executive branch is headed by the president, whose constitutional responsibilities include serving as commander in chief of the armed forces; negotiating treaties; appointing federal judges (including the members of the Supreme Court), ambassadors, and cabinet officials; and acting as head of state.

This will help you.

They:

-Take care that the laws be faithfully executed

-Serve as commander in chief of the armed forces

-Carries out and enforces laws

The President of the United States is the head of the executive branch. It includes the president, vice president, the Cabinet, executive departments, independent agencies, and other boards, commissions, and committees.

Hope I was able to help. :DDD

a firm has ebit of 1,000,000 and depreciation expense of 400,000. fixed charges total 600,000. interest expense totals 70,000. what is the firm cash coverage ratio. ​

Answers

Answer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 times

How do I explain to an alien how to graph Graph Y=-2(x+3)^2+1

Answers

Step-by-step explanation: Explanation:

y

2

=

3

(

x

1

)

3

x

y

=

3

2

=

1

x

1

3

+

y

1

=

1

is the intercept form of the equation.

Now we know the two points on the line as

(

1

3

,

0

)

,

(

0

,

1

)

By plotting the two points on a graph sheet and joining them gives the line required.

graph{3x - 1 [-10, 10, -5, 5]}

Hope this helps!!!

During the lunar cycle, the Moon always appears: A. to wax, but not wane. B. to wane, but not wax. C. to wax, then wane. D. to wane while waxing. Please help!

Answers

Answer:

C.to wax then wane

Step-by-step explanation:

Waxing is "Maxing," or growing with light until a full moon is reached. Waning is the opposite, or decreasing after a full moon, and is always illuminated on the left. Then, there is a waxing or waning Gibbous moon, which means more than half of the moon is illuminated.

Simplify the following expression.
-20 + (-15)
O A 5
OB. -35
O C.
-5
OD. 35
Reset
Submit

Answers

Answer:

B) -35

Step-by-step explanation:

-35 is the correct answer

Hence factorize completely the expression
9x³y² - 4xy⁴​

Answers

Step-by-step explanation:

[tex]9 {x}^{3} {y}^{2} - 4x {y}^{4} \\ = x {y}^{2} (9 {x}^{2} - 4 {y}^{2} )[/tex]

Write and solve an equation to determine the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

<CED = 180 - (9x-8)

= 180 - 9x +8

= 188 - 9x

Angle sum of triangle is 180

.'. (5x-10) + (50) + (180 - 9x +8) = 180

5x -10 + 50 + 188 -9x = 180

-4x = 180 + 10 - 50 - 188

-4x = -48

4x = 48

x = 12

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