Answer:
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Explanation:
turn 5/11 into a decimal: 0.45 which is LESS than 0.50 (0.5).
Complementary angles have a sum of 90
32+2x+14=90
2x+46=90
2x=44
x=22 the second angle is 58
2(22)+14=58
Given:
Nancy is running 3 meters per second.
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.
To find:
The equations for Nancy and Juan.
Solution:
Let x be the number of seconds.
Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

Therefore, the equations of Nancy and Juan are
and
respectively.
The number of hours he worked in all (written in fraction form) is 
From the question,
Mario worked from 8:25 to 12:45 yesterday.
From 8:25 to 12:45 gives 4 hours 20 minutes
Also, from the question,
Today he will work from 11:20 to 3:10
From 11:20 to 3:10 gives 3 hours 50 minutes
To determine the number of hours he work in all, we will add the time spent working on the previous day to that of the current day. That is,
4 hours 20 minutes + 3 hours 50 minutes = 8 hours 10 minutes
Now, to put the answer in fraction form, we will convert 10 minutes to hours
NOTE: 60 minutes = 1 hour
∴ 10 minutes =
= 
∴ 8 hours 10 minutes = 
Hence, the number of hours he worked in all (written in fraction form) is 
Learn more here: brainly.com/question/3164396
SA= Lateral Area + Area (of base)
Lateral area = perimeter of base x height
An isosceles triangle has two congruent base segments. The hypotenuse of an isosceles right triangle is (length of base segment) x (the square root of 2). I did the math for you (shown above) to get 5 as a base.
So 5 + 5 + square root of 50 is your perimeter
Multiply the perimeter times your height (8) and you get the lateral area.
Add your lateral area to the base area (triangle = 1/2 bh)
LA = 136.568...
Area of Triangle base = 12.5
Surface area = 149.068... square cm