Answer:
52feet
Step-by-step explanation:
The set up will be a right angle
Let the angle of depression be 30°
The height above the sea level will be the opposite
The distance of the ship from the base is x (adjacent)
Using TOA
Tan theta = opposite/adjacent
Tan 30 = 30/x
x = 30/tan 30
x = 30/0.5774
x = 51.96
x ≈ 52 feet to the nearest foot
Answer:From the attached graphic, Half-life = ln (.5) / k
Half-life =.693147 / 0.1142
= 6.0695884413 days
Step-by-step explanation:The value of "k" should be negative and should have units associated with it.
Answer:
The range is [0,37.5]
Step-by-step explanation:
We start by writing the equation that links x and y
From the question;
y = 7.5x
Now, she has enough material to make 5 only
When we talk of range, we are referring to the values on the y-axis
So the lowest y value is 0
and since the highest number of bracelets is 5;
The total cost of the 5 is 7.5(5) = 37.5
So the range is [0,37.5]
Answer:
There are 7 chairs in each row.
Step-by-step explanation:
Hue is arranging some number of chairs. If she arranges them in 6 rows of equal lengths then there will be 3 chairs leftover, or she arranges them in 8 rows of that same length then she requires 11 more chairs.
Let us assume that there are P numbers of chairs and there are x chairs in each row.
Therefore, we can write that
6x + 3 = P ....... (1) and
8x = P + 11
⇒ 8x - 11 = P ........ (2)
Now, from equations (1) and (2) we get,
6x + 3 = 8x - 11
⇒ 2x = 14
⇒ x = 7
Therefore, there are 7 chairs in each row. (Answer)