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Arlecino [84]
3 years ago
14

Someone please help me with this question. I've been stuck on it for almost 40 minutes. Here's the question. Lauren was standing

on the lifeguard stand on the beach trying to find her sister. She spotted her at the water's edge at an angle of depression of 12 degrees. If the stand is 5 yards above the sand, how far down the beach is Lauren's sister? Round your answer to the nearest yard.

Mathematics
1 answer:
Maurinko [17]3 years ago
5 0

Answer:

24 yd

Step-by-step explanation:

Treat x as the desired quantity.  This x is the side of the triangle adjacent to the lower 12 degree angle.  The side opposite this angle is 5 yds.  Using the definition of the tangent,

tan 12 degrees = opp / adj = 5 yds / x

Then x = (5 yds) / (tan 12 degrees), or x = (5 yds) / 0.213

Then x =  24 yds (to the nearest yd)

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A triathlon course includes a 400m swim,a 40.1km bike ride,and a 12.2km run what is the total length of the course
agasfer [191]

Convert the meter distance to KM so thaey are all the same measurement:

1 meter = 0.001 km

400 m x 0.001 m/km = 0.4 km

Now add all three distances:

Total distance = 0.4 + 40.1 + 12.2 = 52.7 km.

The answer is B.

3 0
3 years ago
The mode is the value of the data point that appears the most often. What is the mode?
Pachacha [2.7K]
  • the mode :is the most repeated value
  • for example if the question asked you to find the mode among a set of numbers like:2,3,2,4,5,5,2
  • the mode will be 2 because 2 is the most repeated value
5 0
3 years ago
The graph of the parent function f(x) = x3 is transformed such that g(x) = f(–2x). How does the graph of g(x) compare to the gra
Anni [7]

Answer:

b) g(x) is stretched horizontally and reflected over the x-axis.

Step-by-step explanation:

The given parent function is

f(x) =  {x}^{3}

The transformed function is

g(x) = f (- 2x)

We want to see how the transformed graph compares with the parent graph.

The negation inside means all x-coordinates we're negated.

This means, there is a reflection in the y-axis.

The factor of 2 within the function means a horizontal stretch by a factor of 1/2.

The correct answer is B.

8 0
3 years ago
Read 2 more answers
Stephen biked 75% of 2 miles fred biked 2.5 miles how much farther did Fred bike than Stephen
Natalka [10]
The answer is:

2.5 - (.75 • 2)
= 2.5 - 1.5
= 1
7 0
3 years ago
If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar
sleet_krkn [62]

This question is incomplete, the complete question is;

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct.

In other words, how many 5-tuples of integers  ( h, i , j , m ), are there with  n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1 ?

Answer:

the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Step-by-step explanation:

Given the data in the question;

Any quintuple ( h, i , j , m ), with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1

this can be represented as a string of ( n-1 ) vertical bars and 5 crosses.

So the positions of the crosses will indicate which 5 integers from 1 to n are indicated in the n-tuple'

Hence, the number of such quintuple is the same as the number of strings of ( n-1 ) vertical bars and 5 crosses such as;

\left[\begin{array}{ccccc}5&+&n&-&1\\&&5\\\end{array}\right] = \left[\begin{array}{ccc}n&+&4\\&5&\\\end{array}\right]

= [( n + 4 )! ] / [ 5!( n + 4 - 5 )! ]

= [( n + 4 )!] / [ 5!( n-1 )! ]

= [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Therefore, the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

4 0
3 years ago
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