Answer:
30 miles
Step-by-step explanation:
Before finding the perimeter of the given right angled triangle, we need to find the length of a.
We'll be using pythagoras property to find the value of a.
According to the pythagoras property, sum of the squares of base and perpendicular is equivalent to the square of hypotenuse.
Here,
- Hypotenuse = 13 mi
- Base = 12 mi
- Perpendicular (a) = ?
→ H² = B² + P²
→ H² - B² = P²
→ (13 mi)² - (12 mi)² = a²
→ 169 mi² - 144 mi² = a²
→ 25 mi² = a²
→ √(25 mi²) = a
→ <u>5 mi = a</u>
We know that,
- Perimeter of ∆ = Sum of all sides
→ Perimeter = 13 mi + 12 mi + a
→ Perimeter = 13 mi + 12 mi + 5 mi
→ Perimeter = 30 miles
<u>Perimete</u><u>r</u><u> </u><u>of</u><u> </u><u>the </u><u>triangle</u><u> </u><u>is</u><u> </u><u>3</u><u>0</u><u> </u><u>mi</u><u>l</u><u>e</u><u>s</u><u>.</u>
Total time spent reading is = 8/9 hour
He spends 1/4 of the time reading world news. That is = 1/4 * 8/9 = 2/9 hour
Splits the remaining time equally. Remaining time = 8/9 - 2/9 = 6/9
Splitting it equally = 6/9 divided by 2 = 6/9 * 1/2 = 3/9 = 1/3
Time spent reading comic is = 1/3 hour
I hope this helps.
Answer:
The number of meal combinations, She has to choose:
N = 3 x 4 x 3 =36
Hope this helps!
:)
Answer:
y = -4
Step-by-step explanation:
We can find the equation of a line that goes through two given points on the plane by finding 1) the slope of the segment that joints the two points, and using the coordinates of one of the given points, and use this information in the "point-slope" form of the line.
To find the slope of the segment that joins the two points, we use the general equation for the slope given two coordinate pair points as:
In our case, using the given (-3,-4) as , and (1,-4) as , we get the following slope:
Therefore, the slope is zero (this means we are dealing with a horizontal line.
Now we complete the work by using the point-slope form of a line which is:
Using one of the given points (let's say (1,-4) as , and the slope (0) that we just obtained, we get the following equation for the line in question:
So y = -4 is the expression for the line
The values are given as
<span>2005 2.63
2006 3.26
2007 3.54
2008 3.769
2009 2.13
2010 2.956
2011 4.259
2012 4.16
2013 3.78
2014 3.99
2015 3.10</span>
where left side is the year (x) and right side is the value (y)
The smallest value of y is = 2.13; biggest value is = 4.259 (RANGE)
Domain is (2003 to 2015)
It seems that the equation will not be linear because as the year increases, the value of y is unstable.