Drag each equation to show if it could be a correct first step to solving the equation 2(x + 7) = 36.
2 answers:
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Polar and cartesian equation<h2>Initial explanation</h2>
<h2>STEP 2: secØ equation</h2>
<h2>STEP 3: comparison between given equation and secØ equation</h2>
Let's analyze the relation between r and x and y:
We have that between the indicated value of r (of the polar coordinates) and x and y (of the cartesian coordinates) there is a relation because they form a triangle. If r changes, then the value of x and y will change.
<h2>STEP 1: given equation</h2>Using the given equation
r = 2 secØ
we have that
Observing the image of the initial explanation we have a right triangle, we know that the equation of
secØ for any right triangle is given by:
In this case,
hypotenuse = r
adjacent side = x
then,
Then, we have that:
This means that:
Then,
x = 2
The equation in cartesian coordinates is x=2.
Answer: x=2
Hello!
The formula to find the surface area of a pyramid is as follows:
pl + B
In this formula p represents the perimeter of the pyramid's base, l is the slant height, and B is the area of the base.
So, we know that the length of the base sides is 2.5 inches and the slant height (or l) is 3 inches.
The first thing we can do is solve for p or the perimeter of the base. To find the perimeter, you can either add up each of the sides or since it's a square just multiply the side length by 4; both of these options will give you the same answer.
2.5+2.5+2.5+2.5 = 10 2.5*4 = 10
So, we now know that p = 10 inches.
Next, we can solve for B or the area of the base. To do this, we take the length of the base * the width of the base, or in this case just 2.5*2.5; this gives us 6.25 inches
We now have the value of B which is 6.25 inches.
Now that we have all the elements, we can plug the values into the formula!
So, the formula originally is pl + B and with the values we just found plugged in it becomes (10)(3) + (6.25).
And now all we have to do is solve!
(10)(3) + (6.25)
(30) + (6.25).
15 + (6.25).
21.25
And there you have it! The surface area of a pyramid with base sides of 2.5 inches and a slant height of 3 inches is 21.25 inches.
Hope you find this helpful!
The formula to find the surface area of a pyramid is as follows:
In this formula p represents the perimeter of the pyramid's base, l is the slant height, and B is the area of the base.
So, we know that the length of the base sides is 2.5 inches and the slant height (or l) is 3 inches.
The first thing we can do is solve for p or the perimeter of the base. To find the perimeter, you can either add up each of the sides or since it's a square just multiply the side length by 4; both of these options will give you the same answer.
2.5+2.5+2.5+2.5 = 10 2.5*4 = 10
So, we now know that p = 10 inches.
Next, we can solve for B or the area of the base. To do this, we take the length of the base * the width of the base, or in this case just 2.5*2.5; this gives us 6.25 inches
We now have the value of B which is 6.25 inches.
Now that we have all the elements, we can plug the values into the formula!
So, the formula originally is
And now all we have to do is solve!
15 + (6.25).
21.25
And there you have it! The surface area of a pyramid with base sides of 2.5 inches and a slant height of 3 inches is 21.25 inches.
Hope you find this helpful!