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weqwewe [10]
3 years ago
15

Use a calculator to evaluate cot π/5.

Mathematics
1 answer:
bixtya [17]3 years ago
7 0
Pi divided by five is roughly .63. I say "roughly" because pi is infinitely long so it's impossible to get an exact answer, but a common pi length would be  <span>3.14159. </span>
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Find the value of the expression
sashaice [31]

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20

Step-by-step explanation:

t=1

u=2

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What is the degree of x^4-3x+2<br> A.3<br> B.2<br> C.4<br> D.5
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3 years ago
L1 and L2 are two straight lines. The origin of the coordinate axes is O. L1 has equation 5x + 10y = 8 L2 is perpendicular to L1
Ivenika [448]

Answer:

40 sq units

Step-by-step explanation:

5x + 10y = 8\\\Rightarrow y=\dfrac{8-5x}{10}\\\Rightarrow y=-\dfrac{1}{2}x+\dfrac{2}{5}

Slope of L_2 is m_2

m_1m_2=-1\\\Rightarrow m_2=-\dfrac{1}{m_1}\\\Rightarrow m_2=-\dfrac{1}{-\dfrac{1}{2}}\\\Rightarrow m_2=2

L_2 passes through point (8,6)

y-6=2(x-8)\\\Rightarrow y=2x-16+6\\\Rightarrow y=2x-10

Point at x axis where L_2 intersects is

0=2x-10\\\Rightarrow x=\dfrac{10}{2}\\\Rightarrow x=5

Point A of the triangle will be (5,0)

L_2 intersects line x=-3. The point is

y=2\times(-3)-10\\\Rightarrow y=-6-10\\\Rightarrow y=-16

The points of the triangle are A(5,0), O(0,0), B(-3,-16)

Area of triangle is given by

A=\dfrac{|A_x(B_y-O_y)+B_x(A_y-O_y)+O_x(A_y-B_y)|}{2}\\\Rightarrow A=\dfrac{|5(-16-0)+-3(0-0)+0(0-(-16))|}{2}\\\Rightarrow A=40\ \text{sq units}

The area of the triangle is 40 sq units.

6 0
3 years ago
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