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Yanka [14]
2 years ago
12

Scale Drawings question

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
6 0

Answer:

138 is the answer

Step-by-step explanation:

In order to find the perimeter, we use this formula

P=2(l+w)

And to find the width, we use this formula

w = P/2 - L = 18/2 - 3 = 6

So the width is 6

3 × 6 = 18

So thats why the perimeter of the top triangle is 18

We do 21 ÷ 3 = 7, 7 = scale factor

To find the perimeter of the bottom triangle, we do

the width of the top rectangle times 7

so 6 × 7 = 48

So the perimeter for the bottom triangle is

P=2(l+w)=2·(48+21)=138

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aliina [53]

Answer:

13.9188 dollars

Step-by-step explanation:

1.1599 * 12 = 13.9188

8 0
3 years ago
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55. (a) If alpha and beta are the roots of the equation xsquare+ px+q=0 and beta>alpha find the square of the
densk [106]

Answer:

√(p²-4q)

Step-by-step explanation:

Using the Quadratic Formula, we can say that

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x = ( -p ± √(p²-4q)) / 2

The roots of the function are therefore at

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( -p + √(p²-4q)) / 2 - ( ( -p - √(p²-4q)) / 2)

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7 0
2 years ago
A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur
Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

V=LWH

where

L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in

substitute

V=(7-2x)(2-2x)x

Convert to expanded form

V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

then

the width is negative (W=2-2x)

so

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

8 0
3 years ago
Please help hard math lots of points
avanturin [10]

Answer:

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Zigmanuir [339]

Answer:

the third one, c!

good luck

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