Help me please lord be with me
2 answers:
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Answer: POQ = 125
Step-by-step explanation: If you don’t want to read my long explanation, I drew a diagram of my work. :>
First we need to establish that POQ is a vertical angle to SOT, this makes the angles equal. We also need to establish that because the definition of an altitude, that T And S both form right angles. (An altitude is a perpendicular segment from a vertex of a triangle to the opposite side.) Now let’s take a look at the quadrilateral that is formed inside the triangle, the quadrilateral being RSOT. Luckily we know the measure of three of the angles, R=55, T=90, and S=90. If you didn’t know beforehand all angles of a quadrilateral add up to 360, so we can add up the angles we’ve already found to find the missing angle O/ SOT. When we add the angles, and then subtract that from 360 we get 125, so SOT=125. Remember that we established that SOT and POQ are vertical angles, so if SOT=125 then POQ=125.
I really hoped my explanation was good, this was my first time giving an answer. Also I’m sorry if my method of finding the answer wasn’t helpful, but this was the only way I could think of.
I accidentally gave myself a one star rating, that sucks.
To solve this problem you must apply the proccedure shown below:
1. You must use the formula for calculate the volume of a sphere and the formula for calculate the surface area of a sphere, which are:
Where is the radius (
)
2. The volume is:
3. The surface are is:
The answer are: The volume is and the surface area is
Answer:
The speed driven while returning is 88 mph.
Step-by-step explanation:
We are given that while traveling to and from a certain destination, you realized increasing your speed by 40 mph saved 4 hours on your return.
Also, the total distance of the roundtrip was 420 miles.
Let the speed driven while returning be 'x mph' which means that the speed driven while going was '(x - 40) mph' because it has been given that while returning we have increased the speed by 40 mph.
As we know that the Speed-Distance-Time formula is given by;
or
So, according to the question;
where Distance = 420 miles
Now finding the roots of the above equation;
Here a = 1, b = -40 and c = -4200
= = 18400
Now, the roots of a quadratic equation is given by;
So, the two roots of x are : and
Solving these two we get; and
Here we ignore the negative value of x, so the speed driven while returning is 87.8 ≈ 88 mph.