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omeli [17]
3 years ago
7

Please help.god bless you all you guys awesome

Mathematics
2 answers:
Nina [5.8K]3 years ago
7 0
Answer: 32

Step 1: Formula

Let’s rewrite the formula for Pythagorean theorem

a²+b²=c²

The c is going to be the hypotenuse, which is the longest angle. This number is 40 in this equation.

We know that we need to solve for b, meaning that a is 24. Let’s substitute these numbers into the equation.

a²+b²=c²

24²+b²=40²

We see that the numbers have a squared sign next to them. Though we can’t square b, we can for 24 and 40. Let’s do this now.

24²+b²=40²

576+b²=1600

We want to get b² in the left side alone. So let’s subtract 576 on both sides.

576+b²=1600
-576 -576
___________
b²= 1024

Now since b is still squared we need to undo that. Let’s do this by finding the square root on both numbers/variables.

b²= 1024

√b²= √1024

Now let’s find the answer to find the final answer for b.

√b²= √1024

b= 32

This is the answer!

Hope this helps comment below for more questions :)
almond37 [142]3 years ago
5 0

Answer:

b = 32

Step-by-step explanation:

If we are talking a² + b² = c² instead of looking for the hypotenuse we look for a leg and it doesnt matter where it is placed.. so for there forth you'll do

24² + b² = 40²

and then from there you square all the numbers so then you get

576 + b² = 1600

then subtract 576 from both sides so you are left with

b² = 1024

and finally square root it

b = 32

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A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height
melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

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The height of the food packet cannot be a negative value, so

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We need to replace -15x^2+6000 for f(x) in the above inequality to find the domain.

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The possible solutions of the above inequality are given by the intervals (-\infty , -2], [-2,2], [2,\infty ). We need to pick test point from each possible solution interval and check whether that test point make the inequality (x+200)(x-200)\leq 0 true. Only the test point from the solution interval [-200, 200] make the inequality true.

The values of x which will make the above inequality TRUE is -200\leq x\leq 200

But we already know x should be positive, because time cannot be negative.

Conclusion:

Domain of the given function is 0\leq x\leq 200

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