Answer: 0.12
Step-by-step explanation:
There are a total of 65 candy bars. Within this amount;
2 candy bars contain 300 to 350 calories
1 candy bar contains 350 to 400 calories
4 candy bars contain 400 to 450 calories
1 candy bar contains 450 to 500 calories
Thus, the overall ratio of candy bars with more than 300 calories is;
= (2 + 1 + 4 + 1) / 65
= 8/65
= 0.12
Answer:
Approximately 59 stacked cups.
Step-by-step explanation:
We have the following measurements:
Height of one cup = 12.5 cm,
Height of two cups stacked = 14 cm,
Height of three cups stacked = 15.5 cm,
...and so on.
This situation can be described by an arithmetic sequence,
12.5, 14, 15.5,....
The first term is defined as a = 12.5,
with a common difference of d = 1.5 cm.
Thus, the height of x stacked cups is given by
As per the problem,
h(x) = 200
⇒ 1.5x + 11 = 200
⇒ 1.5x = 189
⇒ x = 59.3333333333 ≈ 59.
Therefore, you will need approximately 59 stacked cups.
A 30-60-90 triangle is considered a right triangle. Triangles containing a right angle are classified as right triangles. Only one right angle can exist in such a triangle. The representation of this case is illustrated below. Let’s clarify why the proposed statements are valid:
The hypotenuse of a right triangle is always opposite to the right angle. If we designate as the shorter leg, the sine law affirms that the hypotenuse is:
This indicates that the hypotenuse is double the length of the shorter leg
The longer leg, which we can call , can be determined with the Pythagorean Theorem:
Thus, it is accurate that the longer leg is √3 times longer than the shorter leg.