Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The diagonal of Andre's rectangular TV screen is 39 inches. The width of his TV screen is 34 inches. Which measurement is closest to the height of Andre's TV screen? A. 8.5 inches B. 19.1 inches C. 36.5 inches D. 51.7 inches

The diagonal of Andre's rectangular TV screen is 3939 inches. The width of his TV T V screen is 3434 inches. Which measurement is closest to the height of Andre's TV screen?\newlineA. 88.55 inches\newlineB. 1919.11 inches\newlineC. 3636.55 inches\newlineD. 5151.77 inches

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Add, subtract, multiply, and divide decimals: word problemsright chevron icon

Full solution

Q. The diagonal of Andre's rectangular TV screen is 3939 inches. The width of his TV T V screen is 3434 inches. Which measurement is closest to the height of Andre's TV screen?\newlineA. 88.55 inches\newlineB. 1919.11 inches\newlineC. 3636.55 inches\newlineD. 5151.77 inches
  1. Pythagorean Theorem Application: To find the height of the TV screen, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, the diagonal of the TV screen is the hypotenuse, and the width and height are the other two sides. Specifically, if the diagonal is dd, the width is ww, and the height is hh, then according to the Pythagorean theorem, d2=w2+h2d^2 = w^2 + h^2.
  2. Denote Height as 'h': Let's denote the height of the TV screen as 'h'. According to the Pythagorean theorem, we have:\newline(diagonal)2=(width)2+(height)2(\text{diagonal})^2 = (\text{width})^2 + (\text{height})^2\newlineSubstituting the given values, we get:\newline392=342+h239^2 = 34^2 + h^2
  3. Calculate Diagonal and Width Squares: Now, we calculate the squares of the diagonal and the width:\newline392=152139^2 = 1521\newline342=115634^2 = 1156
  4. Substitute Values into Equation: Next, we substitute these values into the equation: 1521=1156+h21521 = 1156 + h^2
  5. Solve for ' extit{h}^22': We then solve for ' extit{h}^22' by subtracting the square of the width from the square of the diagonal:\newlineh2=1521−1156h^2 = 1521 - 1156\newlineh2=365h^2 = 365
  6. Find Height 'h': Now, we take the square root of both sides to find the height 'h':\newlineh=365h = \sqrt{365}\newlineh≈19.1h \approx 19.1 inches

More problems from Add, subtract, multiply, and divide decimals: word problems

Question
Convert the following repeating decimal to a fraction in simplest form.\newline.68‾ .6 \overline{8} \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Convert the following repeating decimal to a fraction in simplest form.\newline.94‾ .9 \overline{4} \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Convert the following repeating decimal to a fraction in simplest form.\newline.96‾ .9 \overline{6} \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Which expression is equivalent to 99.7−(−57.9) 99.7-(-57.9) ?\newline99.7−57.9 99.7-57.9 \newline57.9−99.7 57.9-99.7 \newline−57.9−99.7 -57.9-99.7 \newline99.7+57.9 99.7+57.9
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the value of x x in the equation below.\newlinex−13.6=7.6 x-13.6=7.6 \newlineAnswer: x= x=
Get tutor helpright-arrow

Posted 2 months ago

Question
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she dropped 6868.11 feet. How many feet had she been below sea level, if she was 155155.44 feet below sea level after she dropped?\newlineAnswer: □\square feet
Get tutor helpright-arrow

Posted 2 months ago

Question
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she went down 3636.33 feet. How many feet had she been below sea level, if she was 9999.77 feet below sea level after she went down?\newlineAnswer: □\square feet
Get tutor helpright-arrow

Posted 2 months ago

Question
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she descended 2222 feet. How many feet had she been below sea level, if she was 5252.33 feet below sea level after she descended?\newlineAnswer: □\square feet
Get tutor helpright-arrow

Posted 2 months ago

Question
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she dropped 8888.66 feet. How many feet had she been below sea level, if she was 182182.55 feet below sea level after she dropped?\newlineAnswer: □\square feet
Get tutor helpright-arrow

Posted 2 months ago

Question
A scientist was in a submarine, 4141.44 feet below sea level, studying ocean life. Over the next ten minutes, she rose 3333.66 feet. How many feet was she now below sea level?\newlineAnswer: □\square feet
Get tutor helpright-arrow

Posted 2 months ago

View all (48)