Answer:
-8b^7 - 4b^5 + 5b + 16
Step-by-step explanation:
The powers are indicated by the value of the exponents, so move top down.
Answer: A
I’m pretty sure I’m sorry if I’m wrong
Answer:
The first option is correct: Angle 2 through 5
Step-by-step explanation:
Both angles 2 and 5 are directly vertical or opposite to each other and are the only angles that are proportionate/equal sizes.
The other three options are incorrect because angles 4 and 3 are not the same equal value and are right next to each other making them not vertically across.
angles 1 and 5 are close to being vertical but are not the same size as angle 1 is much smaller than angle 5.
angles 6 and 1 are next to each other making them not vertically to each other and angle 6 is much larger than angle 1.
the correct answer is angles 2 and 5, the first option.
Answer:
The coordinates of C(22/3, 7)
Step-by-step explanation:
Partitioning between two points A and B in the ratio a:b.
The x-coordinate of the point of partition C is found at
XC = XA*(b/(a+b)+XB(a/(a+b) ..............(1)
Similarly, the x-coordinate of the point of partition is found at
YC = YA*(b/(a+b)+YB(a/(a+b)...............(2)
Given A(8,8), B(4,2), partition ratio of A:B = 1:5,
substitute in (1)
XC = 8*5/6+4*1/6 = 44/6 = 22/3
YC = 8*5/6 + 2*1/6 = 42/6 = 7
The coordinates of C(22/3, 7)
The boat's travel from when it was first noticed until it stopped is 554.89 ft.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly.
From the given information we can draw a right-angle triangle.
14°52' = 14 + 0.86 = 14.86 degree
45°10' = 45 + 0.16 = 45.16 degree
In the right-angle triangle ACD
tan14.86 = 200/AC
AC = 753.772 ft
In the right-angle triangle DBC:
tan45.16 = 200/CB
CB = 198.886 ft
AB = AC - CB
AB = 753.772 ft - 198.886 ft
AB = 554.886 ≈ 554.89 ft
Thus, the boat's travel from when it was first noticed until it stopped is 554.89 ft.
Learn more about trigonometry here:
brainly.com/question/26719838
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