If 78 sit-ups is done in 2 minutes how many can be done in 5 minutes
2 answers:
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Answer:
You are probably making this harder than it is. That's what I was doing. So it is asking for the hour when it is . So that would be 4. Then it is asking for the temperature at 2 hrs. so that would be 104
. so your answer would be 104, 4.
Hope this helps!
The first step that we need to take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal. Looking at the problem statement they are asking for us to determine the value of the unknown variable h. We are given one angle along with two sides.
Now that we have completed that step, we can move onto understanding what needs to be done to solve for the unknown. We know that the best option is to use some trigonometry to help us determine the other side. Using Soh | Cah | Toa we are able to determine that we have the opposite side (h) and the hypotenuse (15.6 cm).
<u>Trigonometric functions</u>
<u>Plug in the values</u>
We know have an expression which contains everything that we need to determine the value of the unknown. To help isolate h we need to multiply both sides by 15.6 cm which will isolate h. After that we need to simplify the expression so we can get the value of h.
<u>Multiply both sides by 15.6 cm</u>
<u>Simplify the expression</u>
After simplifying the expression, we are able to eliminate options A and C because they state that h is equal to 8.4 cm. We also know that with the given dimensions we would be able to create two triangles. Therefore, the option that best incapsulates the correct answer would be option B - 9.2, two possible triangles.
Answer:
f(x) is increasing in the intervals (-∞,-4) and (9,∞)
f(x) is decreasing in the ingercal (-4,9)
The local extrema is:
local max at (-4,496)
and local min at (9,-1701)
Step-by-step explanation:
In order to solve this problem we must start by finding the derivative of the provided function, which we can find by using the power rule.
if then
so we get:
in order to find the critical points we mus set the derivative equal to zero, since the local max an min will happen when the slope of the tangent line to the given point is zero, so we get:
we can solve this by factoring, so let's factor that equation:
6(x+4)(x-9)=0
we can now set each of the factors equal to zero so we get:
x+4=0 and x-9=0
when solving each for x we get that:
x=-4 and x=9
These are our critical points, now we can build the possible intervals we are going to use to determine where the function will be increasing and where it will be decreasing:
(-∞,-4), (-4,9) and (9,∞)
so now we need to test these intervals in the derivative to see if the graph will be increasing or decreasing in the given intervals. So let's pick x=-5 for the first one, x=0 for the second one and x=10 for the third one.
When evaluating them into the first derivative we get that:
f'(-5)=84, this is a positive answer so it means that the function is increasing in the interval (-∞,--4)
f'(0)=-216, this is a negative anser so it means that the function is decreasing in the interval (-4,9)
f'(10)=84, this is a positive answer so it means that the function is increasing in the interval (9,∞)
Now, for the local extrema, we can see that at x=-4, the function it's increasing on the left of this point while it's decreasing to the right, which means that there will be a local maximum at x=-4, so the local max is the point (-4,496)
We can see that at x=9, the function it's decreasing on the left of this point while it's increasing to the right, which means that there will be a local minimum at x=-9, so the local min is the point (9,-1701)