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julia-pushkina [17]

3 years ago

9

Please help x 15 points

1 answer:

katovenus [111]3 years ago

3 0

A(0,-1)
B(3√3/3, 2)

Slope of AB = (y₂ - y₁)/(x₂-x₁)
Slope = (2-1)/(√3/3 , -0)

Slope = 1/√3/3 = 1/√3 = √3/3

OR SLOPE = tan(a°) = √3/3 and a° = 30°

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Is 50.2 a rational or an irrational number, why?

Greeley [361]

Answer:

Rational.

Step-by-step explanation:

$\textbf{A rational number is a real number that can be expressed as}~ \dfrac{p}{q},\\\\\textbf{where}~ p~ \textbf{and}~ q~ \textbf{are integers.}\\\\ \boxed{50.2 = \dfrac{502}{10}}\\\\ \textbf{50.2 can be expressed as a ratio of two integers,}~ \textbf{so it is a rational number.}$

4 0

1 year ago

Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 60 inches long and cuts it into

Alex_Xolod [135]

Answer:

a) the length of the wire for the circle = $(\frac{60\pi }{\pi+4}) in$

b)the length of the wire for the square = $(\frac{240}{\pi+4}) in$

c) the smallest possible area = 126.02 in² into two decimal places

Step-by-step explanation:

If one piece of wire for the square is y; and another piece of wire for circle is (60-y).

Then; we can say; let the side of the square be b

so 4(b)=y

b= $\frac{y}{4}$

Area of the square which is L² can now be said to be;

$A_S=(\frac{y}{4})^2 = \frac{y^2}{16}$

On the otherhand; let the radius (r) of the circle be;

2πr = 60-y

$r = \frac{60-y}{2\pi }$

Area of the circle which is πr² can now be;

$A_C= \pi (\frac{60-y}{2\pi } )^2$

$=( \frac{60-y}{4\pi } )^2$

Total Area (A);

A = $A_S+A_C$

= $\frac{y^2}{16} +(\frac{60-y}{4\pi } )^2$

For the smallest possible area; $\frac{dA}{dy}=0$

∴ $\frac{2y}{16}+\frac{2(60-y)(-1)}{4\pi}=0$

If we divide through with (2) and each entity move to the opposite side; we have:

$\frac{y}{18}=\frac{(60-y)}{2\pi}$

By cross multiplying; we have:

2πy = 480 - 8y

collect like terms

(2π + 8) y = 480

which can be reduced to (π + 4)y = 240 by dividing through with 2

$y= \frac{240}{\pi+4}$

∴ since $y= \frac{240}{\pi+4}$ , we can determine for the length of the circle ;

60-y can now be;

= $60-\frac{240}{\pi+4}$

= $\frac{(\pi+4)*60-240}{\pi+40}$

= $\frac{60\pi+240-240}{\pi+4}$

= $(\frac{60\pi}{\pi+4})in$

also, the length of wire for the square (y) ; $y= (\frac{240}{\pi+4})in$

The smallest possible area (A) = $\frac{1}{16} (\frac{240}{\pi+4})^2+(\frac{60\pi}{\pi+y})^2(\frac{1}{4\pi})$

= 126.0223095 in²

≅ 126.02 in² ( to two decimal places)

4 0

3 years ago

10 (2y + 2) - y = 2 (8y - 8)

Ede4ka [16]

Answer:

10(2y+2)= 10.2y+10.2

20y+20-y

2(8y-8)=2.8y-2.8

20y+20-y=16y-16

20y-16y-y=-20-16

3y=-36

36/3y=?

y=-12

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

PLZ HURRY IT'S URGENT!!!!!!

Anton [14]

I think the correct answer your looking for is D) 9

5 0

3 years ago

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Your bill from Acme Supply Company is marked "3/15, net 30." The amount of the bill is $178.95. If you pay the bill within 15 da

Ray Of Light [21]

3/15 means if you pay the bill within 15 you will get a discount by 3%
Now solve your question
178.95−(178.95×0.03)
=173.58 be paid

5 0

2 years ago

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