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:
f(-5) = 15
Step-by-step explanation:
f(x)=5x+40
plug in x as -5
f(-5) = 5(-5) + 40
multiply 5 by -5
-25+40
add -25 to 40
15
Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire song album = y dollars
Person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
Person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second we get
x = 0.99 dollars
Putting the value of x in the first equation we get
y = 12.96 - 3x
= 12.96 - 2.97
= 9.99 dollars
Okay so the table represents B, in one hour of work, the person will make 18.25 (you get this by dividing 36.50 by two because that is how much they made in two hours, we need to know how much they make in one)
Therefore, the equation for A, which has to be less than B, would be either be Y=18x or Y=18.1x
Answer: The answer is D. Trapezoid.
Step-by-step explanation: As shown in the attached figure, a rectangular pyramid ABCDE is drawn. We are slicing this rectangular pyramid parallel to the base BCDE at the points F, G, H and I.
We can clearly see from the figure that upper half of the sliced figure will be similar to the pyramid BCDE and the lower sliced figure will be a trapezoid. These are the three-dimensional figures.
Also, the sliced two-dimensional figure FGHI will be a rectangle, because
the pyramid is a rectangular one and so, FI=GH, FG=HI and all the angles are right angles.
Thus, the resulting two-dimensional figure will be a rectagle.
