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2 years ago

The measure of major arc TBU is_degrees.

Mathematics

1 answer:

Elina [12.6K]2 years ago

5 0

Answer:

46°

Step-by-step explanation:

The alternate segment theorem states that for a circle, the angle between a chord and a tangent through the endpoint of one of the chord is equal to the angle in the alternate segment.

Therefore from the diagram attached, chord TU and the tangent UV form an angle (arc TBU). The alternate segment to arc TBU is ∠ TUV .

Therefore arc TBU = ∠ TUV. But arc TBU = 46°. Therefore:

∠ TUV = 46°

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A solar collector is 2,0 m long by 1,5 m wide. It is held in place

icang [17]

Answer:

The width of the frame is 0.0746 meters

Step-by-step explanation:

We are told that after the frame has been attached to the solar collector, the area that is left exposed is $2.5m^2$ . As we see in the figure, the dimensions of this area are

$(w-2x)$ and $(l-2x)$

where $x$ is the width of the frame.

The product of these dimensions must equal the exposed area:

$(w-2x)(l-2x)=2.5m^2$

Now since $w=1.5m$ and $l=2m$ we have:

$(1.5-2x)(2-2x)=2.5$

we expand this and solve for x using the quadratic formula:

$4x^2-7x+3=2.5$

$4x^2-7x+0.5=0$

we get two solutions:

$x=1.6753$

$x=0.0746$

We take the second solution i.e $x=0.0746$ , because first one gives a width larger than the dimensions of the solar collector which cannot be possible.

Thus the width of the frame is 0.0746 meters.