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ICE Princess25 [194]
3 years ago
6

Consider kite BKRY below where mLBKH = 36. Find the measure of each following angle.

Mathematics
2 answers:
andriy [413]3 years ago
7 0
2,4,44 because the gathing numbers are equal to represent
MAXImum [283]3 years ago
7 0

Answer:

m<BHY = 90

m<RKH = 36

m<HBK = 54

Step-by-step explanation:

The diagonals in a kite are perpendicular, meaning that m<BHY has to be a right angle, and since KY bisects <RKB, <BKH≅<RKH which is 37. Because the angles in a triangle add up to 180, you can use subtraction to find out what the other missing angle, <HBK, is.

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A vector with magnitude 9 points in a direction 190 degrees counterclockwise from the positive x axis. Write in component form
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Answer:

\vec{v}= \text{ or } \approx

Step-by-step explanation:

Component form of a vector is given by \vec{v}=, where i represents change in x-value and j represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector \vec{v}=, the magnitude is ||v||=\sqrt{i^2+j^2.

190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being i, one leg being j, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.

In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}

To find the other leg, i, we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}

Verify that (9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark

Therefore, the component form of this vector is \vec{v}=\boxed{}\approx \boxed{}

6 0
3 years ago
What are two equivalent ratios for 1/9
earnstyle [38]
3:27
And another one would be
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3 years ago
What is the value of x? Enter your answer in the box.
jolli1 [7]

Answer:

31

Step-by-step explanation:

3 0
2 years ago
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Step-by-step explanation:

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3 years ago
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