Answer:
35/80
u want to find a number that is proportional to 35/80, then all u need is a number that is equivalent...another words, if it is proportional, it is an equivalent fraction to 35/80.
there can be several answers to this...such as 35/80 reduces to 7/16...so 7/16 is proportional....or if u multiply numerator and denominator by the same number, u will find a proportional number...
example :
35/80 * 2/2 = 70/160...this is proportional
35/80 * 3/3 = 105/240...this is proportional
35/80 * 4/4 = 140/320...this is also proportional
and so on....
so without giving us any answer choices, there can be many numbers to choose from
The answer is 26.55.
First identify any supplementary and right angles. Between the boat and 40degrees is a supplementary angle (180degrees), so you minus 180 from 40degrees to get the angle where the boat is at and that angle is 140degrees.
Next we will see that the triangle with the lighthouse and 40degrees is a right angle so that means it should add up to 90degrees, so 90-40 = 50Degrees. The angle in front of the light house at the top, but still inside the right triangle is 50degrees.
Next triangle, we are missing the angle next to 50degrees at the top. We know all interior triangles add up to 180, so 180-124-40 = 16degrees.
Now we must find the hypotenuse in order to solve for the height.
For this we will focus only on the obtuse triangle (where boat 24degrees is).
Set it up as sin(16)/28= sin(140)/c
Cross multiply and then it changes to Csin16 = 28sin(140).
Divide by sine16 on both sides. Sine16 cancel out on the left side.
Now you have, c = 28sin140/sin16.
Put that in on a calculator and C will come out as 65.2961.
Last step, we can now find (H)eight.
Formula: C(SInA) = H/C
65.2961*sin(24degrees) = H/65.2961
Multiply both sides by 65.2961 and the right side will cancel out.
Now, H = 65.2961(sin(24degrees)
H = 26.55
Side note:
It will help to label the triangles angles ABC as well as hypotenuse, adjacent, opposite.
Formula used above to find hypotenuse:
SinB/Distance = SinAdjacent angle (opposite)/ C (hypotenuse)
Good Luck, I know it can be confusing, but you can do it.
Answer:The answer is in the attached file below
Step-by-step explanation:
Are you sure that is the full question? You can't distribute any of it that's just a simple multiplication problem. But if that is the whole equation than your answer is 128
Problem to be solved: How many kilometers are there in 42 miles.According to the unit of measurement conversion, in every 1 mile there's an equivalent of 1.60934 kilometers. => 1 mile = 1.60934 km.Since the given problem asked us to find the value of 42 miles in km, let's simply multiply the value of 1 km per miles by 42=> 42 * 1.60934=> 67.5924 or can be rounded to 67.6 km. Thus the answer to your question is this.<span>
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