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2 years ago

what is the area of the rectangle wxyz with vertices w(0,1),x(3,4),y(-1,8),z(-4,5) to the nearest unit

1 answer:

8 0

Area of rectangle = length x width (product of the two adjacent sides)
Length of wx = sqrt((3 - 0)^2 + (4 - 1)^2) = sqrt(3^2 + 3^2) = sqrt(18) = 4.24
Length of xy = sqrt((-1 - 3)^2 + (8 - 4)^2) = sqrt((-4)^2 + 4^2) = sqrt(32) = 5.66

Area = 4.24 x 5.66 = 24 square units.

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If u found a briefcase, and the ammount of money was your phone #, how much money did u find?

Maurinko [17]

2720636 muneys :3

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8 0

3 years ago

2 of the dozen eggs in a cartoon are cracked about what percent of the carton is not cracked

pychu [463]

well, a carton has a dozen, namely 12 or the 100%, two were cracked.

if we know 12 is the 100%, what is 2 off of it in percentage?

$\bf \begin{array}{ccll}
amount&\%\\
\cline{1-2}
12&100\\
2&x
\end{array}\implies \cfrac{12}{2}=\cfrac{100}{x}\implies x=\cfrac{2\cdot 100}{12}\implies x=16.\overline{66}$

4 0

2 years ago

Read 2 more answers

What is the result of substituting for y in the bottom equation y=x+3 y=x^2+2x-4

8_murik_8 [283]

The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

Solution:

Given that,

$y = x + 3 ------- eqn 1\\\\y = x^2 + 2x - 4 ----- eqn 2$

We have to substitute eqn 1 in eqn 2

$x + 3 = x^2 + 2x - 4$

$\mathrm{Switch\:sides}\\\\x^2+2x-4=x+3\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\x^2+2x-4-3=x+3-3\\\\\mathrm{Simplify}\\\\x^2+2x-7=x\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\x^2+2x-7-x=x-x\\\\\mathrm{Simplify}\\\\x^2+x-7=0$

$\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=1,\:c=-7\\\\x =\frac{-1\pm \sqrt{1^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}$

$x = \frac{-1 \pm \sqrt{ 1 + 28}}{2}\\\\x = \frac{ -1 \pm \sqrt{29}}{2}$

$x = \frac{ -1 \pm 5.385 }{2}\\\\We\ have\ two\ solutions\\\\x = \frac{ -1 + 5.385 }{2}\\\\x = 2.1925$

$Also\\\\x = \frac{ -1 - 5.385 }{2}\\\\x = -3.1925$

Substitute x = 2.1925 in eqn 1

y = 2.1925 + 3

y = 5.1925

Substitute x = -3.1925 in eqn 1

y = -3.1925 + 3

y = -0.1925

Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

6 0

3 years ago

A spherical ball of wax with a radius of 5 inches is melted and poured into a container shaped like a rectangular prism with a 1

Novosadov [1.4K]

Answer:

4.36 in

Step-by-step explanation:

To solve this problem we first find the volume of the sphere using the volume formula, after this we set this volume equal to the volume container which is a rectangular prism. After this we simple solve for the height by dividing the volume of the sphere by 12*10 to get the height

So the steps should look like

(4/3)*π*5³=523.599 in³

523.599 in³=12*10*Height

(523.599/(12*10))=4.36 in

7 0

2 years ago

Read 2 more answers

GEOMOTRY PLS HELP i got little time left

Gennadij [26K]

Answer:

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3 0

3 years ago