Answer:
<em><u>SEE</u></em><em><u> </u></em><em><u>THE</u></em><em><u> </u></em><em><u>IMAGE</u></em><em><u> </u></em><em><u>FOR</u></em><em><u> </u></em><em><u>ALL</u></em><em><u> </u></em><em><u>ANSWERS</u></em><em><u>.</u></em>
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1 answer:
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Answer:
Step-by-step explanation:
<u><em>The complete question is:</em></u>
In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. Circle V is shown. Line segments W V, X V, Z V, and Y V are radii. Lines are drawn from point W to point X and from point Z to point Y to form secants. Point U is on the circle between points W and X. What is the measure of Arc W U X in circle V?
The picture of the question in the attached figure
step 1
Find the measure of angle XWV
we know that
The triangle VWX is an isosceles triangle, because has two equal sides (VX=VW)
we have
so
Remember that an isosceles triangle has two equal interior angles
so
step 2
Find the measure of angle WVX
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
substitute the given values
step 3
Find the measure of arc WUX
we know that
----> by central angle
we have
therefore
Answer:
The bird will be at a ground distance of 10.04 units away.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is
.
Equation for the height:
The height of the bird after x seconds is given by:
Which is a quadratic equation with .
When the bird is at its highest?
Quadratic equation with , and thus, at the vertex. The ground distance is the x-value of the vertex. Thus
The bird will be at a ground distance of 10.04 units away.