Answer:
(A)55
Step-by-step explanation:
From the values on the graph which is presented in the table above, the number of people who rode the bus during the 12.00 hour is 55.
<u>The correct option is A.</u>
Hello! Im stuck on this math question. The two triangles displayed are scaled copies of one another. the first question is "What
is the scale factor?" the second question is "what is the value of x? "
1 answer:
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In order to answer this question, the figure in the first picture will be helpful to understand what a right triangle is. Here, a right angle refers to .
However, if we want to solve the problem we have to know certain things before:
In the second figure is shown a general right triangle with its three sides and another given angle, we will name it :
- The side <u>opposite to the right angle</u> is called The Hypotenuse (h)
- The side <u>opposite to the angle
</u> is called the Opposite (O)
- The side <u>next to the angle
So, going back to the triangle of our question (first figure):
- The Hypotenuse is AB
- The Opposite is BC
- The Adjacent is AC
Now, if we want to find the length of each side of a right triangle, we have to use the <u>Pythagorean Theorem</u> and T<u>rigonometric Functions:</u>
Pythagorean Theorem
(1)
Trigonometric Functions (here are shown three of them):
Sine: (2)
Cosine: (3)
Tangent: (4)
In this case the function that works for this problem is cosine (3), let’s apply it here:
(5)
And we will use the Pythagorean Theorem to find the hypotenuse, as well:
(6)
(7)
Substitute (7) in (5):
Then clear BC, which is the side we want:
Finally is approximately 13 cm
