Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy
2 answers:
*See attachment for the diagram
Answer:
Tan 60 = √3
Step-by-step explanation:
Recall: SOHCAHTOA
Thus,
Tan 60 = Opp/Hyp
From the diagram given,
Opp = YZ = ?
Hypotenuse = XY = 42
Find the length of YZ using Pythagorean Theorem:
YZ = √(42² - 21²) = √1,323
YZ = √(441 × 3) = 21√3
✔️Find Tan(60):
Tan 60 = Opp/Hyp = YZ/XY
Tan 60 = (21√3)/21
Tan 60 = √3
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Answer:
See the attachment.
Step-by-step explanation:
Function notation: This means the description of the curve is written in the form ...
f(x) = <an expression that describes the curve in terms of independent variable x>
The name of the function does not have to be "f", though f, g, h are traditional for generic functions. In specific cases, the function name might be related to the value the function delivers: <em>cost(n)</em> might be the function that tells you the cost of producing n items, for example.
The functions shown (square root, reciprocal) should be shapes you have memorized. You can check the scale factor at specific values you know, for example, √4 = 2, or 1/1 = 1. Hence both functions have a scale factor of 1 (no scaling).
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The domain is the horizontal region where the function is defined. Square root is not defined for negative numbers; reciprocal is not defined for 0. Hence the descriptions of the respective domains must exclude these values.
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The range is the vertical extent of the values each function produces. The domain and range are the same for both functions shown here.
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Asymptotes are lines the function approaches but does not reach. The square root function has no such lines. (It reaches vertical at x=0.)
The reciprocal function has a vertical asymptote as x=0 (the value of x that makes the function denominator zero). And, it has a horizontal asymptote at y=0, a value that can be approached, but not reached, as x gets large in either the positive or negative directions.
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End behavior: The square root function heads off toward (∞, ∞). The reciprocal function heads toward the value defined by the horizontal asymptote: y=0 as x gets large in magnitude.
Answer:
Step-by-step explanation:
2(x^2 + 10x + 25) + 3
2x^2 + 20x + 50 + 3
2x^2 + 20x + 53
Solution:
Perimeter is the sum of the figure's sides.
<u>Note that:</u>
- 10 + 10 + 4 + 10 + 4 + 10 + 10 + 30 = Perimeter of figure
<u>Simplify the expression:</u>
- 5(10) + 2(4) + 30 = Perimeter of figure
- => 50 + 8 + 30 = Perimeter of figure
- => 88 cm = Perimeter of figure
