Answer:
DEF
Step-by-step explanation:
The other triangle is a reflection
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Answer:
a9 = -8 +9(9 -1)
Step-by-step explanation:
The given sequence has a common difference of 1-(-8) = 10-1 = 9, and a first term of -8. The formula for the n-th term of such an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . first term a1, common difference d
For the parameter of this sequence, a1=-8 and d=9, the n-th term is ...
an = -8 +9(n -1) . . . . formula for the n-th term
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Then the formula for the 9th term is ...
a9 = -8 +9(9 -1)
Answer:
It had flown 2620 ft along the diagonal.
Step-by-step explanation:
When the plane is taking off it forms we can form a triangle with it's height, horizontal distance and diagonal distance, which can be seen in the attached drawing. We can use the sine relation on the right triangle to determine "x", as shown below:
sin(11°) = 500/x
x*sin(11) = 500
x = 500/[sin(11)] = 2620 ft
It had flown 2620 ft along the diagonal.
Answer:
12.9 yd
Step-by-step explanation:
It helps if you draw a triangle. Draw a horizontal segment. That is the ground. Now at the left end start a new segment that goes up to the right at approximately 15 degrees until it its other endpoint directly above the right endpoint of the horizontal segment. Connect these two endpoints. The vertical side on the right shows the height of the kite. The hypotenuse is the string.
For the 15-deg angle, the height of the triangle is the opposite leg, and the string is the hypotenuse. The trig ratio that relates the opposite leg tot he hypotenuse is the sine.
8 people prefer pepperoni because 50 people times .16 is 8