4 years ago

Determine whether the relation is a function.

Mathematics

1 answer:

Pavel [41]4 years ago

5 0

Answer:

Yes it is a function

Step-by-step explanation:

Each input has only 1 output

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To measure a stone face carved on the side of a mountain, two sightings 900 feet from the base of the mountain are taken. If th

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Answer:

Height of the stone face = 66.29 feet

Step-by-step explanation:

Refer the given figure, here we need to find height of the stone face,

Height of the stone face = CD

CD = AD - AC

In ΔABC we have

$tan31=\frac{AC}{AB}\\\\tan31=\frac{AC}{900}\\\\AC=540.77feet$

In ΔABD we have

$tan34=\frac{AD}{AB}\\\\tan34=\frac{AD}{900}\\\\AD=607.06feet$

CD = AD - AC = 607.06 - 540.77 = 66.29 feet

Height of the stone face = CD = 66.29 feet

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4 years ago

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3 years ago

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Step-by-step explanation:

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3 years ago

(4x+8)+(2x+20)=90 help me solve this and draw a diagram

Lemur [1.5K]

Answer:

x = 31/3

Step-by-step explanation:

4x+8+2x+20=90

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3 years ago

Y=(2x-3)^5(2-x^4)^3 differentiate the function please

BARSIC [14]

$\bf y=(2x-3)^5(2-x^4)^3\\\\
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\cfrac{dy}{dx}=\stackrel{\textit{product rule}}{[5(2x-3)^4\cdot 2(2-x^4)3]~~+~~[(2x-3)^5[3(2-x^4)^2(-4x^3)]]}
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\cfrac{dy}{dx}=10(2x-3)^4(2-x^4)^3~~-~~12x^3(2x-3)^5(2-x^4)^2
\\\\\\
\cfrac{dy}{dx}=\stackrel{\textit{common factor}}{2(2x-3)^4(2-x^4)^2}~[5(2-x^4)-6x^3(2x-3)]
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\cfrac{dy}{dx}=2(2x-3)^4(2-x^4)^2~[10-5x^4-12x^4+18x^3]
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\cfrac{dy}{dx}=2(2x-3)^4(2-x^4)^2(10-17x^4+18x^3)$

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3 years ago