Answer:
1.1071
Step-by-step explanation:
tan θ = opposite/adjacent = 10/5 = 2
arctan(2) = 1.1071
Answer:
3/13
Step-by-step explanation:
You could use math for this or count and save yourself time. There are 12 cards in between 5-9 in the deck. 12/52 simplified is 3/13.
Answer: <em>16%</em>
Let's assume that "X" % of 410 is 65.6.
Therefore, we can write this as;
X% of 410 = 65.6
<em>16% of 410 is 65.6.</em>
To find the LCM of 8 and 56, we should list the multiples of 8 and 56:
8: 8, 16, 24, 32, 40, 48, 56
56: 56, 112
As you can see, the LCM of 8 and 56 is 56.
<h2>
Answer:</h2>
<em> The side of the triangle is either 38.63ft or 10.35ft</em>
<h2>
Step-by-step explanation:</h2>
This problem can be translated as an image as shown in the Figure below. We know that:
- The side of the square is 10 ft.
- One of the vertices of an equilateral triangle is on the vertex of a square.
- Two other vertices are on the not adjacent sides of the same square.
Let's call:
Since the given triangle is equilateral, each side measures the same length. So:
x: The side of the equilateral triangle (Triangle 1)
y: A side of another triangle called Triangle 2.
That length is the hypotenuse of other triangle called Triangle 2. Therefore, by Pythagorean theorem:
We have another triangle, called Triangle 3, and given that the side of the square is 10ft, then it is true that:
Therefore, for Triangle 3, we have that by Pythagorean theorem:
Matching equations (1) and (2):
Using quadratic formula:
Finding x from (1):
<em>Finally, the side of the triangle is either 38.63ft or 10.35ft</em>