Answer:
-3x+3c+5d-d
=0+4d
=4d
Isabel bought some books for $6 each and received a discount of $8 off of her total purchase. She spent $58 after the discount.
1 answer:
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The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)
The distance between both lighthouses is 5783.96 m
I've added an attachment that represents the scenario.
From the attachment, we have:
Convert to degrees
Convert to degrees
So, the measure of angle S is:
---- Sum of angles in a triangle
The required distance is distance AB
This is calculated using the following sine formula:
Where:
So, we have:
Make AB the subject
Hence, the distance between both lighthouses is 5783.96 m
Read more about bearing and distance at:
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere =
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = x
x
= x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.