Answer:
105.46 feet
Step-by-step explanation:
We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.
Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.
Answer:
120
Step-by-step explanation:
Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.
We use the permutation formula to find the answer, but before that let's check values.
n = 8
k = 5
Now since there are two letters already chosen we have to deduct two from both the value of n and k.
n = 6
k = 3
Now we can use the permutation formula:




The 3*2*1 cancels out and leaves us with:


So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.
Answer:
x=4, y=1
I think its that
Step-by-step explanation:
Answer:
$2.05
Step-by-step explanation:
$8/4 notebooks= $2
.20/4=.05
________________
$2.05
Out of the four options,
A. 99 cm B. 105.98 cm C. 90 cm D. 104.5 cm,
option A is the correct answer.
Because 1 m = 100 cm and this is the nearest approximation. Thus, the<span>A student used A tape measures to estimate the length of a meterstick manufactured to he exactly 1 meter. </span>