For the function f(x, y) please sketch the level curves of the function, nd then list the domain and the range of the function,
write down a curvethat represents the boundary, and state whether the domain is an open or closed region
1 answer:
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Answer:
<em>HT </em>= 17
<<em>T</em> = 62°
<<em>H</em> = 28°
Step-by-step explanation:
1. Use the Pythagorean Theorem to find the length of the missing side.
a² + b² = c²
15² + 8² = c²
225 + 64 = c²
289 = c²
√289 = c
c = 17
The length of side HT is 17.
2. Use SOHCAHTOA to find the measure of <<em>T</em>. Since we know the measure of two sides, opposite (15) and adjacent (8), use the formula for tangent as tangent is opposite/adjacent.
Tangent = =
= 1.875
Use the tan⁻¹ button on the calculator to find the value for <<em>T.</em>
tan⁻¹(1.875) = 61.9°
<<em>T = </em>62°
3. To find the measure of <<em>H, </em>you can either add up the two angles and subtract from 180° or use SOHCAHTOA.
90° + 61.9° + x = 180°
151.9° + x = 180°
x = 28°
or
We know two sides: opposite (8) and adjacent (15). So, we will use tangent.
Tangent = =
= 0.5333333333
Take the tan⁻¹ to get the measure of <<em>H.</em>
tan⁻¹(0.5333333333) = 28.07 = 28°
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Answer:
140
Step-by-step explanation:
We have been given two fractions and
. We are asked to find the least common denominator of both fractions.
To find the least common denominator of both fractions, we will find least common multiple of 20 and 28.
Prime factorization of 20:
Prime factorization of 28:
Least common multiple of 20 and 28 would be: .
Therefore, the least common denominator of both fractions would be 140.