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
Find the 12th term of the following geometric sequence.<br> 10, 30, 90, 270,
DanielleElmas [232]

Answer:

<h3>The 12th term is 1771470</h3>

Step-by-step explanation:

Since the above sequence is a geometric sequence

An nth term of a geometric sequence is given by

A(n) = a(r)^{n - 1}

where a is the first term

r is the common ratio

n is the number of terms

From the question

a = 10

To find the common ratio divide the previous term by the next term

That's

r = 30/10 = 3 or 90/30 = 3 or 270/90 = 3

Since we are finding the 12th term

n = 12

So the 12th term is

A(12) = 10( {3})^{12 - 1}

A(12) = 10 ({3})^{11}

<h3>A(12) = 1771470</h3>

Hope this helps you

8 0
3 years ago
jace and chris sell their old toyd at a yard sale. they get $45.00. yhey agree that jace will have 2/5 of the money and chris wi
valentinak56 [21]

Answer:

Jace gets $18.00 while Chris keeps $27.00

Step-by-step explanation:

Jace

2/5 of $45.00

2/5 × 45

= $18.00

Jace gets $18.00

Chris:

$45.00 - $18.00 = $27.00

4 0
3 years ago
How to find the perimeter ratio of two similar triangles
Free_Kalibri [48]

Answer:

of their perimeters is equal to the ratio of their corresponding side lengths. ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

5 0
3 years ago
The real part of the complex number –5 + 3i is
photoshop1234 [79]

Answer:

-5

Step-by-step explanation:

The real part of -5 + 3i is -5, and the imaginary part is 3.

7 0
2 years ago
There are 24 students in Ms. Woodall's. Half of the students are boys and 1/3 of the boys have brown hair. What's the number of
Natali [406]
4 boys have brown hair because 1/2 of 24 is 12 and 1/3 of 12 is 4
5 0
3 years ago
Read 2 more answers
Other questions:
  • The area of the right triangle shown is 24 square feet.
    6·2 answers
  • BRAINLIESTTT ASAP!!! PLEASE HELP ME :)
    13·2 answers
  • . The sum of three consecutive numbers is greater than 40. The inequality that represents this is x + x + 1 + x + 2 &gt; 40. Whi
    10·1 answer
  • Lena needs $50 to buy some notebooks. She had saved $2 and plans to work as a babysitter to earn $8 per hour.
    6·1 answer
  • A) 3× - 5 = 7
    12·1 answer
  • The table below show the approximate population of Virginia for 5 years. What is the
    13·1 answer
  • If 1.0 euro is equal to 1.07 dollars how many euros is in on dollar
    9·2 answers
  • Plz hurry I really need the answer… like now
    6·1 answer
  • Which is best represent the area of a triangle of a height of x+7 and a base of 2x+12
    13·1 answer
  • There are 14 boys and x girls in a class. One boy and one girl will be selected to represent the class on the student council.ta
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!