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:
4 units
Step-by-step explanation:
Let ABC be isosceles right angled ∆ right angled at B
By Pythagoras theorem,
AC² = AB² + BC²
(√32)² = 4² + s²
32 = 16 + s²
s² = 32 - 16
s² = 16
s = √16
s = 4 units.
Therefore s = 4 units
Hope it helps...
This an isosceles right triangle. The sides opposed to the angle 45° are congruent. Let x be this side==> x²+x² =(7√2)² (Pythagoras)
2x² = 49(2) ==> 2x²= 98 ==> x²=49 & x=7
The right answer is Option D.
Step-by-step explanation:
Given,
Retail price = $12,720
Destination charge = $460
Cruise control = $235
Defogger = $148
AM/FM radio = $153
Sticker price = Sum of all feature costs
Sticker price = 12720+460+235+148+153
Sticker price = $13716
The right answer is Option D.
Keywords: addition
Learn more about addition at:
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Answer:
C. 147 minutes
Step-by-step explanation:
This is 147 minutes because 2 hours equal up to 120 minutes, before that Evelyn ran 27 minutes. So, now you have to add 120 and 27. You get 147.