Does anyone know how to do this?
2 answers:
Answer:
√45
Step-by-step explanation:
We know that according to the Pythagorean theory:
a²+b²=c²
I am pretty sure that a is 3 and b is 6. C remains unknown.
3 squared is nine and 6 squared is thirty six. 36+9 is 45.
Since the question says you should leave the answer in radical form, the answer is
c²=45
√c²=√45
This book will really help in Geometry and you can get it anywhere.
I hope this helps!
~°LampteyJ
For this you would need to use the Pythagorean theorem! a^2 + b^2 = c^2
So if a=3 and b=6 then c=?(hypotenuse)
(3x3) + (6x6) = c^2
9 + 36 = c^2
45 = c^2
To get “c” by itself you need to take the square root of both sides of your equation which will eliminate the square on the side with “c”
Square root of 45 = (in radical form)
3 x square root of 5
So if a=3 and b=6 then c=?(hypotenuse)
(3x3) + (6x6) = c^2
9 + 36 = c^2
45 = c^2
To get “c” by itself you need to take the square root of both sides of your equation which will eliminate the square on the side with “c”
Square root of 45 = (in radical form)
3 x square root of 5
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9514 1404 393
Answer:
671 feet
Step-by-step explanation:
There are a couple of ways to figure this. One is to use a sort of shortcut equation to find the distance traveled (d) by an object when subject to some initial velocity (v) and acceleration (a). Here the acceleration due to gravity is -32 ft/s².
v² = 2ad
d = v²/(2a) = (192 ft/s)^2/(2·32 ft/s²) = 576 ft
This height is in addition to the starting height of 95 ft, so the arrow's maximum height is ...
max height = 95 ft + 576 ft = 671 ft
__
Another way to work this problem is to start with the equation for ballistic motion. Filling in the given initial velocity and height, we have ...
h(t) = -16t^2 +192t +95
The time the arrow reaches the maximum height is the time representing the axis of symmetry of the parabola:
t = -(192)/(2(-16)) = 6
Then the maximum height is ...
h(6) = -16·6^2 +192·6 +95 = 671
The maximum height is 671 feet.
__
<em>Additional comment</em>
For the standard-form quadratic ...
y = ax^2 +bx +c
The axis of symmetry is ...
x = -b/(2a)
Answer:
7630
Step-by-step explanation:
We have that the distance of a comet from Earth is about 7.63*10³ .
This number is given in scientific notation.
We want to write this number in standard form.
Since we are multiplying by a power of 10, we move forward three times.
Therefore in standard form: