Can you write all of those in Fractions Decimals and Percentages .
1 answer:
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The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
Expand the expression
Factorize the above expression
Factor out 2t - 5 in the 2t - 5
Split the equation into 2
Rewrite as:
Solve for t
The value of t cannot be less than 0 i.e. negative.
So, we have
Divide 5 by 2
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
Answer:
DE = about 41.843 (rounded to nearest thousandth)
EF= 34.276 (rounded)
Step-by-step explanation:
For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°. We can use trigonometry to figure this out. SinФ equals the opposite side (in this case, 24) divided by the hypotenuse. Set sinФ equal to a ratio of the sides like this:
sin(35) =
x represents the hypotenuse length, which we don't know; 35 is the angle measure. Next, isolate x so that the equation looks like this:
= x
You will need a calculator for the next part. (and make sure you're in degree mode!). evaluate sin(35) and divide 24 by that value. That is DE's length. DE = about 41.843 (rounded to nearest thousandth)
For EF, we can just use Pythagorean theorem now that we know the other sides' values.
EF^2 + 24^2 = DE^2
*a calculator might also be useful for this part.
EF= 34.276 (rounded)