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ArbitrLikvidat [17]
3 years ago
9

The slope distance between two points was measured with an EDM and found to be 1223.88 ft. If the zenith angle (the angle from t

he vertical to the line) is 95°25'14", compute the horizontal distance. (Ans.: 1218.41 ft) 385.11 ft) 2138.77 ft) 10
Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

Horizontal distance = 1218.41 ft

Step-by-step explanation:

Given data:

Slope distance = 1223.88 ft

Zenith angle is  = 95°25'14"

converting zenith angle into degree

Zenith angle is = 95 +\frac{25}{60} + \frac{14}{3600} = 94.421°

Horizontal distance= S\times sin(Z)

putting all value to get horizontal distance value

Horizontal distance = 1223.88\times sin(95.421)

Horizontal distance = 1218.41 ft

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1,000 is both a rational number and a whole number.

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Which of the following best classifies a quadrilateral with coordinates A(2,6), B(5, 1), C(10, 4), and D(7,9)?
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3 years ago
Diego is solving the equation x^2-12x = 21
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Answer:

The solutions to the quadratic equations will be:

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Step-by-step explanation:

Given the expression

x^2-12x\:=\:21

Let us solve the equation by completing the square

x^2-12x\:=\:21

Add (-6)² to both sides

x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2

simplify

x^2-12x+\left(-6\right)^2=57

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

x^2-12x+\left(-6\right)^2=\left(x-6\right)^2

so the expression becomes

\left(x-6\right)^2=57

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x-6=\sqrt{57}

add 6 to both sides

x-6+6=\sqrt{57}+6

Simplify

x=\sqrt{57}+6

also solving

x-6=-\sqrt{57}

add 6 to both sides

x-6+6=-\sqrt{57}+6

Simplify

x=-\sqrt{57}+6

Therefore, the solutions to the quadratic equation will be:

x=\sqrt{57}+6,\:x=-\sqrt{57}+6

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a= 34 degrees

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In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.

Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.

We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.

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