1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gladu [14]
3 years ago
15

The size of a TV is determined by the length of the diagonal of the TV. A 42" TV means the length from one corner to the other i

s 42".If the diagonal forms a 30 degree angle with the base of the TV , what are the height and width of the TV
Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer: height of TV = 21"

Width of TV = 36.372"

Step-by-step explanation:

The TV is rectangular and the diagonal divides the rectangle into 2 equal right angle triangles. The diagonal represents the hypotenuse of the right angle triangle. If the diagonal forms a 30 degree angle with the base of the TV, then the height of the TV represents the opposite side of the right angle triangle and the width of the TV represents the adjacent side of the right angle triangle.

To determine the height, h of the TV, we would apply the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin 30 = h/42

h = 42Sin30 = = 42 × 0.5

h = 21"

To determine the width, w of the TV, we would apply the

the cosine trigonometric ratio.

Cos θ, = adjacent side/hypotenuse. Therefore,

Cos 30 = w/42

w = 42Cos30 = 42 × 0.866

w = 36.372"

You might be interested in
B squared - 4ac. A=-3 b=1 c= 3
Stels [109]

Answer:

-35

Step-by-step explanation:

b^{2} - 4ac = (1)(1) - 4(-3)(3) = 1 - 36 = -35

6 0
3 years ago
A count went up from 450 to 600. What was the approximate percent increase?
alukav5142 [94]

Answer:

The answer is 33%

Step-by-step explanation:

This is because if you type 450 x .33 (the given percent), it will equal 598.5 which is the closest answer you will get to 600 out of the given choices.

5 0
3 years ago
Read 2 more answers
What values of x make this inequality true?
Alborosie

Answer:

A. x > 13

Step-by-step explanation:

x-3>10

x>10+3

x>13

3 0
3 years ago
R=8 P=7 R+P= PLZ im stuck <br>​
mihalych1998 [28]

Answer:

15

Step-by-step explanation:

The equation is just a plug in and solve. you have your given variables and all you have to do it plug them into the matching spot and solve

R=8   P=7

 8+7=15

7 0
3 years ago
HEEELP
Drupady [299]

Answer: (c)

Step-by-step explanation:

Given

f(x)=\dfrac{1}{x-3}\\\\g(x)=\sqrt{x+5}

Here, \sqrt{x+5}\ \text{is always greater than equal to 0}\\\Rightarrow x+5\geq 0\\\Rightarrow x\geq -5\quad \ldots(i)

To get f\left(g(x)\right), replace x in f(x) by g(x)\ \text{i.e. by}\ \sqrt{x+5}

\Rightarrow f\left(g(x)\right)=\dfrac{1}{\sqrt{x+5}-3}\\\\\text{Denominator must not be equal to 0}\\\\\therefore \sqrt{x+5}-3\neq0\\\Rightarrow \sqrt{x+5}\neq 3\\\Rightarrow x+5\neq 9\\\Rightarrow x\neq 4\quad \ldots(ii)

Using (i) and (ii)  it can be concluded that the domain of f\left(g(x)\right) is all real numbers except 0.

Therefore, its domain is given by

x\in [-5,4)\cup (4,\infty)

Option (c) is correct.

5 0
3 years ago
Other questions:
  • How to put it into the input table and how to graph it
    5·1 answer
  • A 1-unit by 3-unit rectangle is shown below. what is the area of the shaded rectangle?
    13·1 answer
  • Which figure is congruent to the figure shown?
    6·2 answers
  • How many neighboring countries does china have
    5·1 answer
  • Solve the equation <br> (If possible please show work)
    8·2 answers
  • NUMBER 2!! Helppppp ASAP plssss
    12·2 answers
  • What is the interquartile range of this data set ?
    13·1 answer
  • Zero of the polynomial p (x) =3x +4 is<br>​
    14·1 answer
  • Para que con exactitud se pueda poner líquido en dos tambos de 60 y 90 litros, respectivamente, ¿Cuál es la capacidad máxima en
    11·1 answer
  • Can someone help me please?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!