Answer:
46
Step-by-step explanation:
The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.
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<h3>Pythagorean theorem</h3>
The relation between the leg lengths (a, b) and the hypotenuse (c) is ...
c² = a² +b²
Solving for b gives ...
b = √(c² -a²)
<h3>application</h3>
In this problem, we have c=55 and a=30. Then the width of the TV is ...
b = √(55² -30²) = √(3025 -900) = √2125
b ≈ 46.098
The width of the TV is about 46.
Answer:
3rd one
Step-by-step explanation:
3p+2h=195
p + 15 = h
3p + 2(p + 15) = 195
3p + 2p + 30 = 195
5p = 165 (combine like terms and isolate your variable)
p = 33
33 + 15 = 48 (plug 33 into your original second equation)
ANSWER: 33 pretzels and 48 hotdogs
**You can plug these into your original (first) equation to check your answer
