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4 years ago

How to do the problem

Mathematics

1 answer:

ruslelena [56]4 years ago

5 0

Answer:

1.) x = 14.96ft

2.) The shorter leg is 6 meters

Step-by-step explanation:

1.) a^2 + b^2 = c^2

a and b = legs of the triangle
c = hypotenuse the longest side

15ft^2 + x^2 = (2x +1)^2

225 + x^2 = (2x^2 + 1^2)

225 = 2x^2 + 1 - x^2
225 = x^2 + 1
225 - 1 = x^2 +1 - 1
√224 = √x^2
x = 14.9662...

2.) Longer leg a = x+2, shorter leg b = x, Hyp. c= 2x-2

Equation:

(x+2)^2 + x^2 = (2x-2)^2

Solve:

(x+2)(x+2) + x^2 = (2x-2)(2x-2)
x^2 + 4x + 4 + x^2 = 4x^2 - 8x +4
2x^2 + 4x + 4 = 4x^2 - 8x +4
2x^2 + 4x + 4 - 4x^2 +8x - 4 = 4x^2 - 4x^2 - 8x + 8x + 4 - 4
-2x^2 + 12x = 0
2x (-x + 6) = 0

Answers:

2x = 0
-x + 6 = 0
x=0 -or- x=6

Since x cannot equal 0 due to the known length of the triangle needs to be more than 0 the answer for x equals 0.

B=6

Check:

A = x + 2: A= 6 +2 = 8
B= 6
C = 2x -2: C= 2(6) -2 = 10

8^2 + 6^2 = 10^2

64 + 36 = 100
100= 100

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kompoz [17]

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$\displaystyle\int_0^\infty\int_0^\infty\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=100C=1\implies \boxed{C=0.01}$

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$f_{X,Y}(x,y)=\displaystyle\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dz=0.01e^{-(0.5x+0.2y)}\int_0^\infty e^{-0.1z}\,\mathrm dz$

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3 years ago

At the grocery store, sliced turkey deli meat is on sale for $11 for 2 pounds. a. What is the cost per pound of sliced turkey de

alexgriva [62]

Answer:

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Step-by-step explanation:

Given

$11 for 2 pounds

Solving (a): Cost per pound

This is calculated by dividing $11 by 2 pounds

$Cost\ per\ pound = \frac{\$11}{2\ lb}$

$Cost\ per\ pound = \$5.5/\ lb$

Hence, the cost per pound is $5.5 per pound

Solving (b): Represent as an equation.

If 1 pound costs $5.5 (as shown in (a))

Then

x pounds costs $5.5 * x

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This cost is represented with y

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3 years ago

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3 years ago

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Dayson has 1 m2 of wrapping paper, which is 10000 cm2:
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Answer:

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If the company produces and sells "x" no. of thing-a-ma-bob, then,

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