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nlexa [21]
3 years ago
11

You are standing 125 ft away from the Eiffel Tower. The Eiffel Tower is 125 ft tall. Calculate the angle from you to the top of

the tower.
Mathematics
1 answer:
blagie [28]3 years ago
4 0
I think it would be a 45 degree angle
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If the coordinates of the endpoints of a diameter of the circle are​ known, the equation of a circle can be found.​ First, find
Evgesh-ka [11]

Answer:

The equation of the circle is (x+3)^2+(y-5)^2 = 17

Step-by-step explanation:

The complete question is

If the coordinates of the endpoints of a diameter of the circle are​ known, the equation of a circle can be found.​ First, find the midpoint of the​ diameter, which is the center of the circle. Then find the​ radius, which is the distance from the center to either endpoint of the diameter. Finally use the​ center-radius form to find the equation.

Find the center-radius  form of the circle having the points (1,4) and (-7,6) as the endpoints of a diameter.

Consider that, if both points are the endpoints of a diameter, the center of the circle is the point that is exactly in the middle of the two points (that is, the point whose distance to each point is equal). Given points (a,b) and (c,d), by using the distance formula, you can check that the middle point is the average of the coordinates. Hence, the center of the circle is given by

(\frac{1-7}{2}, \frac{4+6}{2}) = (-3,5).

We will find the radius. Recall that the radius of the circle is the distance from one point of the circle to the center. Recall that the distance between points (a,b) and (c,d) is given by \sqrt[]{(a-c)^2+(b-d)^2}. So, let us use (1,4) to calculate the radius.

r = \sqrt[]{(1-(-3))^2+(4-5)^2} = \sqrt[]{17}.

REcall that given a point (x_0,y_0). The equation of a circle centered at the point (x_0,y_0) is

(x-x_0)^2+(y-y_0)^2 = r^2

In our case, (x_0,y_0)=(-3,5) and r=\sqrt[]{17}. Then, the equation is

(x-(-3))^2+(y-5)^2 = (x+3)^2+(y-5)^2 = 17

4 0
3 years ago
Simplify the expression <br> 7y+3x+3-2y+6
pishuonlain [190]

Answer:

5y + 3x + 9

Step-by-step explanation:

Whenever something is multiplied by the same variable, you can combine the coefficients. In this case, first you'd move the values with the same variable next to each other, for simplicity:

7y-2y+3x+3+6

Then, combine like terms.

5y+3x+3+6

5y+3x+9

8 0
4 years ago
a pipeline is laid at a rate of 1/8 mile per day.How many miles of line would be completed in 29 1/2 days​
Setler [38]

Answer:

In 29  1/2 days, the total pipe laid is (\frac{59}{16}) mile.

Step-by-step explanation:

The length of pipe laid in 1 day = 1/8 mile

So, the length of pipe laid in half day = half of (1/8 mile)

= \frac{1}{2}  \times \frac{1}{8}  = \frac{1}{16}  \textrm{mile}

Now, 29 1/2 days on simplification means 29 and half day.

So, length of pipe in 29 days = 29 \times \frac{1}{8}  = \frac{29}{8} mile

Now adding the length laid in half day = \frac{29}{8}  + \frac{1}{16}  = \frac{29 (2) + 1}{16}  = \frac{59}{16}  \textrm{mile}

So, in 29  1/2 days, the total pipe laid is (\frac{59}{16}) mile.

8 0
4 years ago
PLEASE HELP URGENT THANK YOU
Fynjy0 [20]
So far the only true statement I see is that function f is increasing whilst function g is decreasing.

I cannot say yes to the first one as there is a lack of x-intercepts.

Past the interval of 0,2, there are no changes in the line of function g as it remains the same despite the increase in y. Function f on the other hand has a rate of change. 

The y-intercepts are the same (positive 2) so the third statement is out. 

8 0
3 years ago
What is the midpoint of the segment shown below (2, 4) and (2, -7)
navik [9.2K]

Answer:

(2,-1.5)

Step-by-step explanation:

There are 11 points in between the two points therefore it has to be (2,-1.5)

7 0
4 years ago
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