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3 years ago

IF YOU KNOW MATH PLS HELP ME

Mathematics

1 answer:

SOVA2 [1]3 years ago

3 0

Answer:

x ≈ 2.55

Step-by-step explanation:

Since the triangles are congruent then DE ≡ AB , that is

DE = AB

76x - 7 = x + 184 ( subtract x from both sides )

75x - 7 = 184 ( add 7 to both sides )

75x = 191 ( divide both sides by 75 )

x ≈ 2.55 ( to the nearest hundredth )

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If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.

user100 [1]

Answer:

∠ GDH = 67.5°

Step-by-step explanation:

The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

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3 years ago

You have $7000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want

Arlecino [84]

Answer:

1857.12 square meters

Step-by-step explanation:

Let L be the length of the rectangle and 'W' be the width

Perimeter = $2L + 2W + 2W$

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The material for the partitions costs $25 per meter

$cost=30(2L + 2W) +25( 2W)\\60L+60W+50W\\60L +110W$

$7000=60L+110W$

Solve for L

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$( \frac{700}{6} -\frac{11}{6} W)(W)\\A(W)=\frac{700}{6}W -\frac{11}{6} W^2$

Now take derivative and set it =0

$A(W)=\frac{700}{6}W -\frac{11}{6} W^2\\A'(W)=\frac{700}{6} -\frac{22}{6} W$

set the derivative =0 and solve for W

$0=\frac{700}{6} -\frac{22}{6} W\\\frac{700}{6}=\frac{22}{6} W\\W= 31.8$

So width = 31.8 that gives maximum area

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$Area = length \cdot width = 31.8 \cdot 58.4= 1857.12$ square meter

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3 years ago

If k is a constant, what is the value of k such that the polynomial k^2x^3 - 6kz+9 is

Tresset [83]

$x-1$ divides $p(x)=k^2x^3-6kx+9$ if the remainder is $p(1)=0$ . (This is the remainder theorem)

Then we must have

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4 years ago