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fredd [130]
3 years ago
12

In triangle ABC, the measure of angle B is 90 degrees, BC=16, and AC=20. triangle DEF is similar to triangle ABC, where vertices

D, E, and F corresponds to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side of triangle ABC. what is the value of sinF?
(please show your work)
Mathematics
1 answer:
kkurt [141]3 years ago
6 0
 <span>The third side of triangle ABC is AB. Using the Pythagorean Theorem, its length is 12. 
12² + 16² = 20² 

∠F is congruent to ∠C and so the sin(∠F) = sin(∠C) 

The sin(∠C) = opposite/hypotenuse 
= |AB| / |AC| 
= 12/20 
= 3/5 
= 0.6 

So the answer is 0.6.</span>
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¹ ← ←
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How is the 4 in 864 related to the 4 in 846
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siniylev [52]
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
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The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
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The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
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5 0
3 years ago
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Nimfa-mama [501]

The given expression is :

2xx+3-5(x-2)

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