Answer:
A. 1/16
Step-by-step explanation:
By applying <em>reflection</em> theory and constructing a <em>geometric</em> system of two <em>proportional right</em> triangles, the height of the stainless steel globe is approximately 140 ft.
<h3>How to estimate the height of the stainless steel globe</h3>
By physics we know that both the angle of incidence and the angle of reflection are same. Thus, we have a <em>geometric</em> system formed by two <em>proportional right</em> triangles:
5.6 ft / 4 ft = h / 100 ft
h = (5.6 ft × 100 ft) / 4ft
h = 140 ft
By applying <em>reflection</em> theory and constructing a <em>geometric</em> system of two <em>proportional right</em> triangles, the height of the stainless steel globe is approximately 140 ft.
To learn more on geometry: brainly.com/question/16836548
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Answer: 8 more girl toys than boy toys
Step-by-step explanation:
First you need to find out how many of the toys are for boys and girls.
———————————————
80 * 40 = 80 * 0.4 = 32
32 toys are for boys
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80 - 32 = 48
48 toys are for girls
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Now find 50% of the boy and girl toys.
32 * 50% = 32 * 0.5 = 16
48 * 50% = 48 * 0.5 = 24
———————————————
Now subtract the number of girl toys by the number of boy toys to find out how many more were made for girls than boys.
24 - 16 = 8
The image is attached.
Answer:
x = 16°
Step-by-step explanation:
Segment AB, segment DC and segment EC all intersect at point C.
Here, we are told angle DCE measures 148°.
This is a semi-circle, and the total angle of a semi-circle is 180°.
Which means, x+x+148 = 180
Solving for x, we have:
x+x+148 = 180
2x + 148 = 180
2x = 180 - 148
2x = 32
x = 16°
The value of x is 16°
The musician can arrange the musical selections 24 times. :)
