A television set is 36 inches wide and has a diagonal length of 42 inches. To the nearest inch, how tall is the set?

Answers

Answer 1
Answer:

The height of the television set would be  21.6 inches to the nearest inch.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

We have been given that the television set is 36 inches wide and has a diagonal length of 42 inches.

Let b represent the height of the television set.

We will use the Pythagorean theorem;

36² + b² = 42²

1296 + b² = 1764

-1296. -1296

b² = 468

√ b² =√ 468

b = height

b = 21.6 inches

Therefore, the height of the television set would be  21.6 inches to the nearest inch.

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Answer 2
Answer: Pythagorean theorem.
36² + b² = 42²
1296 + b² = 1764
-1296. -1296
b² = 468
[square root] b² = [square root] 468
b= height =21.6 inches

Related Questions

Determine which statements are true in the set of real numbers3. (Select all that apply.) (a) Two lines parallel to a third line are parallel. (b) Two lines perpendicular to a third line are parallel. (c) Two planes parallel to a third plane are parallel. (d) Two planes perpendicular to a third plane are parallel. (e) Two lines parallel to a plane are parallel. (f) Two lines perpendicular to a plane are parallel. (g) Two planes parallel to a line are parallel. (h) Two planes perpendicular to a line are parallel. (i) Two planes either intersect or are parallel. (j) Two lines either intersect or are parallel. (k) A plane and a line either intersect or are parallel. Incorrect: Your answer is incorrect.
Calculeaza aria unui triunghi cu baza de 20 cm si inaltimea corespunzatoare ei de 12 cm
Help please as fast as you can
your are travling 25mph to the store and 20mph back from the store total time was 9hours how long did you travel at each speed
While walking through a fictional forest, you encounter three trolls guarding a bridge. Each is either a knight, who always tells the truth, or a knave, who always lies. The trolls will not let you pass until you correctly identify each as either a knight or a knave. Each troll makes a single statement: Troll 1: If I am a knave, then there are exactly two knights here. Troll 2: Troll 1 is lying. Troll 3: Either we are all knaves or at least one of us is a knight. Which troll is which?

If f(x)=8x then what is the area enclosed by the graph of the function, the horizontal axis, and vertical lines at x=2 and x=6

Answers

Answer:

A=128

Step-by-step explanation:

First of all we need to graph f(x)=8x, (First picture)

Now we have to calculate the area enclosed by the graph of the function, the horizontal axis, and vertical lines at x_(1)=2 and x_(2)=6 ,

The area that we have to calculate is in pink (second picture).

The function is positive and the domain is[2,6]then we can calculate the area with this formula:

A=\int\limits^b_a {f(x)} \, dx,

In this case b=x_(2) , a=x_(1)

A=\int\limits^6_2 {8x} \, dx = 8\int\limits^6_2 {x} \, dx

The result of the integral is,

A=8(x^(2))/(2), but the integral is defined in [2,6] so we have to apply Barrow's rule,

Barrow's rule:

If f is continuous in [a,b] and F is a primitive of f in [a,b], then:

\int\limits^b_a {f(x)} \, dx =F(b)-F(a)

Applying Barrow's rule the result is:

A=8.(6^(2) )/(2)-8.(2^(2) )/(2)

A=8.(36)/(2) -8.(4)/(2)

A=144-16

A=128

Help me in 5 mins it is dueA pipe can pump 1000 gallons of water in 4 hours.

How long would it take the pipe to fill a 2500 gallon pool?

4 h
8 h
10 h
25 h

Answers

Answer: 10 hours exactly.

Step-by-step explanation:

Answer:

10h

Step-by-step explanation:Every 4 hrs 1000 is dumped

2500/1000=2.5

2.5 times 4=10

You mix the letters S, E, M, I, T, R, O, P, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability that you select a vowel. Write your answer as a fraction in simplest form.

Answers

5/12 would be your simplest form
 5
__  is the answer hope that i helped
12

The following EXCEL tables are obtained when "Score received on an exam (measured in percentage points)" (Y) is regressed on "percentage attendance" (X) for 22 students in a Statistics for Business and Economics course. Regression Statistics Multiple R 0.142620229 R Square 0.02034053 Standard Error 20.25979924 Observations 22 Coefficients Standard Error T Stat P-value Intercept 39.39027309 37.24347659 1.057642216 0.302826622 Attendance 0.340583573 0.52852452 0.644404489 0.526635689 What is the predicted value received on an exam when Percentage Attendance = 70 a. Approximately 63
b. Approximately 2758
c. Approximately 40
d. Approximately 70

Answers

The predicted value received on the exam when the percentage attendance is 70 is ( a. Approximately 63).

To find the predicted value of the exam score when the percentage attendance is 70, to use the regression equation provided:

Y = Intercept + Attendance × X

From the regression statistics that the intercept (Intercept) is 39.39027309 and the coefficient for percentage attendance (Attendance) is 0.340583573.

Substituting the values into the equation:

Predicted value = 39.39027309 + 0.340583573 × 70

Calculating:

Predicted value ≈ 39.39027309 + 23.84485711

Predicted value ≈ 63.2351302

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Answer:

c

Step-by-step explanation:

hope this helps hœ

What are the coordinates of the vertices of the image after a 90-degree counter-clockwise rotation about the origin?
(2,3)
(-3,-1)
(2, -1)

Answers

The coordinates of the vertices of the image after the 90-degree counter- clockwise rotation about the origin is :

  • ( - 3, 2 )
  • ( 1, -3 )
  • ( 1, 2 )

How to rotate 90-degree counter- clockwise rotation about the origin?

To perform a 90-degree counterclockwise rotation about the origin, follow these steps:

  • Write down the coordinates of the point you want to rotate. Let's call the point ( x , y).
  • To perform a counterclockwise rotation, switch the x and y-coordinates and negate the new x-coordinate. The new coordinates will be ( - y , x).

This means that the vertices will become :

( 2 , 3) ⇒ ( - 3, 2 )

( - 3, -1) ⇒ ( 1, -3 )

( 2, - 1) ⇒ ( 1, 2 )

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Equations
Solve T = C(9+ AB) for B

Answers

Answer:

Simplifying

T = C(9 + AB) * forB

Reorder the terms for easier multiplication:

T = C * forB(9 + AB)

Multiply C * forB

T = forBC(9 + AB)

T = (9 * forBC + AB * forBC)

Reorder the terms:

T = (forAB2C + 9forBC)

T = (forAB2C + 9forBC)

Solving

T = forAB2C + 9forBC

Solving for variable 'T'.

Move all terms containing T to the left, all other terms to the right.

Simplifying

T = forAB2C + 9forBC

Step-by-step explanation:

Simplifying

T = C(9 + AB) * forB

Reorder the terms for easier multiplication:

T = C * forB(9 + AB)

Multiply C * forB

T = forBC(9 + AB)

T = (9 * forBC + AB * forBC)

Reorder the terms: