Solve problem 4/15 = x/ 75
2 answers:
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Answer:
Step-by-step explanation:
For this exercise it is important to remember that "Times as great as" indicates multiplication.
Therefore, "4 times as great as" can be expressed as following:
So, the statement "24 is 4 times as great as" indicates that 24 is equal to .
Knowing this, you can write the following equation:
In order to solve for "k", you can divide both sides of the equation by 4. Then, you get the following result:
If we say that side "a" is the shortest (adjacent), side "b" is the second shortest (opposite), and side "c" is the longest (hypotenuse): then angle A would be 30°, angle B would be 60°, and angle C would be 90°
tan B = b/a
or
a tan B = b
they have 4 as the smallest value in all four options, so we know that a=4
4 tan 60° = b
tan 60° = √3
so, 4 tan 60° = 4√3
b=4√3
that leaves two options left, so now we find "c":
c^2 = (a^2) + (b^2)
OR
so a=4, b=4√3, and c=8
Making your answer B
tan B = b/a
or
a tan B = b
they have 4 as the smallest value in all four options, so we know that a=4
4 tan 60° = b
tan 60° = √3
so, 4 tan 60° = 4√3
b=4√3
that leaves two options left, so now we find "c":
c^2 = (a^2) + (b^2)
OR
so a=4, b=4√3, and c=8
Making your answer B