The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 0.03 + 0
- Change in weight per day of hibernation = - 0.03
- Change in weight for 115 days = - 3.45 ounces
A linear model can be created using the data in the table given using a regression calculator or excel ;
The linear model obtained in the form y = m + bx is :
- y = - 0.03x + 0
- y = change in weight
- x = number of days of hibernation
- Intercept = 0
- Slope = -0.03
- The slope value of the function gives the change in weight value per number of days of hibernation ; which is -0.03.
- Using the regression equation, substitute, the vlaue of x = 115
- -0.03(115) + 0 = - 3.45
Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.
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Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using Pythagoras theorem to solve this problem. This is as this problem forms a right-angle triangle. Pythagoras theorem is the following:
a^2 + b^2 = c^2
Where c = hypotenuse of right-angle triangle
Where a and b = other two sides of right-angle triangle
To begin with, we will substitute the values from the problem into the equation. Then we will make the height of the tree the subject of the equation.
a = height of tree = ?
b = distance from the bird on the ground to the base of the tree = 8 metres
c = distance bird travelled from the ground to the top of the tree = 9 metres
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 = 9^2 - 8^2
a = square root of ( 9^2 - 8^2 )
a = square root of ( 81 - 64 )
a = square root of ( 17 )
a = 4.123...
a = 4.1 ( rounded to the nearest tenth )
FINAL ANSWER:
Therefore, the height of the tree is 4.1 metres ( rounded to the nearest tenth ).
Hope this helps! :)
Have a lovely day! <3
Answer:
Step-by-step explanation:
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Im not sure but since the angle you have is 52 and this is an isosceles triangle so you will do 180-52 over 2 to get the other 2 angles which will be 64 each and you want the exterior angle which is 180 aswell so you will do 180-64 which will be 116
<span>Square root of 346 is 58.9576118919
<span><span><span><span><span>I hope this helps. Square root means when you multiply that number by itself it equals a number.
12^2=144
Square root of 144=12.
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