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Karo-lina-s [1.5K]
3 years ago
5

A flagpole is 10m high. It is held in position by four ropes that are each fixed to the ground, 4m away from the foot of the fla

gpole, to make a square. The diagram shows the flagpole and two ropes that are opposite each other. Calculate the length of each rope
Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

10.77m

Step-by-step explanation:

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Help What is the graph???
marin [14]

We are given

y=\frac{x^2-4x+3}{x^2-9}

Vertical asymptotes:

Firstly, we will factor numerator and denominator

we get

y=\frac{(x-1)(x-3)}{(x-3)(x+3)}

We can see that (x-3) is common in both numerator and denominator

so, we will only set x+3 to 0

and then we can find vertical asymptote

x+3=0

x=-3

Hole:

We can see that (x-3) is common in both numerator and denominator

so, hole will be at x-3=0

x=3

Horizontal asymptote:

We can see that degree of numerator is 2

degree of denominator is also 2

for finding horizontal asymptote, we find ratio of leading coefficients of numerator and denominator

and we get

y=1

now, we can draw graph

Graph:


6 0
2 years ago
Write log3 6 as a logarithm of base 2.
Sever21 [200]
Use:\\\log_ab=\dfrac{\log_cb}{\log_ca}\ and\ \log_ab+\log_ac=\log_a(bc)\\\\\log_36=\dfrac{\log_26}{\log_23}=\dfrac{\log_2(2\cdot3)}{\log_23}=\dfrac{\log_22+\log_23}{\log_23}\\\\=\dfrac{\log_22}{\log_23}+\dfrac{\log_23}{\log_23}=\boxed{\dfrac{1}{\log_23}+1}\\\\other\ method\\Use:\\\log_ab=\dfrac{1}{\log_ba}\\\\\log_36=\log_3(2\cdot3)=\log_32+\log_33=\log_32+1=\boxed{\dfrac{1}{\log_23}+1}
4 0
2 years ago
The length of the base of a right triangle is 32 centimeters, and the height is 10 centimeters. What is the area of the triangle
Bas_tet [7]
10(32)=320, 320/2 Area=160
4 0
2 years ago
Read 2 more answers
At what point of the curve y = cosh(x does the tangent have slope 2?
Dahasolnce [82]
The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444

Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
5 0
2 years ago
2x^3 + 3x^2 -11x -6 divided by x - 2
Gnesinka [82]

p(x)= x-2

g(x)= 2x^3 + 3x^2 - 11x - 6

first we have to find the zero of the polynomial of x-2

p(x)= x-2 = 0

         x=2

therefore,

p(x)= 2x^3 + 3x^2 - 11x - 6

p(2)= 2*2^3 + 3*2^2 - 11*2 - 6

      = 2*8 + 3*4 - 11*2 - 6

      = 16 + 12 - 22 - 6

      = 28-28

     = 0

Hope it helped u, ^_^.

3 0
2 years ago
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