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3 years ago

PLEASE HELP!!!!

Mathematics

1 answer:

love history [14]3 years ago

8 0

<h3>Answer is 1.5 square meters</h3>

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Work Shown:

The portion of the fabric that is laying across the ground is 2 meters. The portion of the fabric from the ground to the highest point (along the fabric's edge) is 1.5 meters, half of that is 0.75 meters and this is the length of the shadow. We can see this by forming a 30-60-90 triangle. The hypotenuse is 1.5 meters, the short leg is 0.75 meters. The short leg is always half of the hypotenuse of any 30-60-90 triangle, and the short leg is opposite the 30 degree angle.

So this shadow has length of 2 meters and 0.75 meters, making its area be 0.75*2 = 1.5 square meters when the sun is directly overhead at 12 noon

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2 years ago

What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0,-3), M(-2,1), N(1,5), O(3

ArbitrLikvidat [17]

ANSWER

$\boxed {( \frac{1}{2} , 1)}$

EXPLANATION

The given parallelogram has vertices,

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From the diagram, we can see that, the diagonals have coordinates L(0,-3),N(1,5)

and

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Recall the midpoint formula,

$(\frac{x_1+x_2}{2}, \frac{y_2+y_1}{2})$

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$(\frac{0+1}{2}, \frac{ - 3+5}{2})$

$(\frac{1}{2}, \frac{ 2}{2})$

$(\frac{1}{2}, 1)$

Or we could have also used,M(-2,1),O(3,1) to get,

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3 years ago

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2 years ago

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Dafna1 [17]

Answer:

X = 11

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Step-by-step explanation:

Part 1:

The measure of an inscribed angle is half the measure of an intercepted arc. So 1/2 mCE = m∠CDE

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You need to find x so you're going to set your equation of (8x - 9) = 79

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Divide both sides by 8 to get x = 11

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We know that WY is 180 because it's a semicircle. Using this and the knowledge that ∠WXY is half the measure of the intercepted arc (180), we know that our equation should be (13x - 1) = 90

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3 years ago

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