Answer:
Step-by-step explanation:
Represent:
- The opposite with a
- The adjacent with b
- The hypotenuse with c
Given that:
Required
Solve for a, b and c
So, we have:
Subtract 1 from both sides
Apply Pythagoras Theorem
Substitute 3 + 3b for a and 4 + 3b for c
Open brackets
Collect Like Terms
Expand
Factorize:
Split:
But the adjacent of a triangle can't have a negative measurement.
So:
Recall that:
Substitute 7 for b in the above expressions
Hence, the dimensions of the triangle are:
A.) 10x + 7.5 (0) =420
10x = 420
420 / 10 = 42
x = 42 > ( 42,0 )
10(0) + 7.5y = 420
7.5y = 420
420 / 7.25 = 56
y = 56 > ( 0,56 )
(42,0) (0,56)
B.) The x intercept means that there was 42 ,minutes spent biking. The y intercept means that there was 56 minutes spent in line skating.
C.) (21 ,28) - (14,37) - (28,18)
1st quartile: 11
median: 38.50000
3rd quartile: 45
<h3>According to the given information:</h3>
- Order these numbers in increasing order: 6, 7, 15, 36, 41, 43, 47, 49
- There is a 38.5 median (it is the mean of 36 and 41 - the pair of middle entries).
- 6,7,15,36, or the left-most half of the data, make up the sample.
- The median of the lower half is 11, which is the first quartile (it is the mean of 7 and 15 - the pair of middle entries).
- 41, 43, 47, and 49, which are the data points in the upper half, are to the right of the median.
- The median of the upper half is 45 in the third quartile (it is the mean of 43 and 47 - the pair of middle entries).
- The biggest value deviates 10.5 from the median (49-38.5)
Measure descriptive statistics
1st quartile: 11
median: 38.50000
3rd quartile: 45
To know more about quartile visit:
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I understand that the question you are looking for is :
2 Drag the tiles to the boxes to form correct pairs. Match the values associated with this data set to their correct descriptions. {6, 47, 49, 15, 43, 41, 7, 36} first quartile 38.5 median 11 third quartile 10.5 the difference of the largest value and the median 45
Answer:
Jogging 6th time.
Step-by-step explanation:
We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.
We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.
We know that an arithmetic sequence is in form , where,
= nth term of sequence,
= 1st term of sequence,
n = Number of terms in sequence,
d = Common difference.
Let us find common difference of our given sequence as:
Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.
Let us solve for n.
We can also write next terms of our sequence as:
Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.
First of all we know the
Absolute Value Function that is:
This is called the
Parent Function <em>of the Absolute Value Function.</em>
From the equation:
The term:
means that the the Parent Function is <em>shifted</em>
two units <em>to the left</em>.
On the other hand, the term:
means that the function
is <em>shifted</em>
three units <em>downward. </em>So the result is the graph shown below