Answer:
l
Step-by-step explanation:
Answer: 3
Step-by-step explanation: The common difference of an arithmetic sequence is the constant difference between consecutive terms. To find the common difference, we can subtract any term from its previous term. In this case, we can subtract -4 from -7 or -1 from -4. Both subtractions yield a result of 3. Therefore, the common difference of the arithmetic sequence -7, -4, -1, … is 3
Remark
The question is an application of the Tangent Function.
Tan(63) = Opposite / Adjacent
Givens
Opposite side = height of the tree = 50 feet.
Adjacent side = shadow length which we have to solve for.
Solution
Tan(63) = opposite/ Adjacent Add a 1 on the left so you have a proportion.
Tan(63)/ 1 = 60 / adjacent Cross multiply
Adjacent * Tan(63) = 1 * 60
Adjacent = 60 / tan(63)
Adjacent = 60 / 1.963
Adjacent = 30.57 feet.
Answer:
39 ft
Step-by-step explanation:
Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.
Pythagorean theorem: .... which a and b are the two sides while x is the diagonal.
... now we square root both sides
Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.
13 * 3 = 39 ft
b)between 0.563 and 0.737
c)between 0.476 and 0.824
d)between 0.389 and 0.911