If a rectangle with a perimeter of 48 inches is equal in area to a right triangle with legsof 12 inches and 24 inches, what is the rectangle’s diagonal?

Answers

Answer 1
Answer: well first 12*24/2 is 144. then , using trial and error, the answer is each side is 12

then, using pythag 144+144 =288
ans square rooted gives answer , around 16.3
Answer 2
Answer:  the answer would be 144. yw hope that helped :)

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What is the probability (rounded to the nearest whole percent) that a randomly selected gym member would buy passion fruit vitamin water but not tropical grape vitamin water?54%
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17%
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Answers

The probability (rounded to the nearest whole percent) that a randomly selected gym member would buy passion fruit vitamin water but not tropicalgrape vitamin water is 17 percent.

Simplify (x^3-x+1)/( √(x) )

Answers

Divide each term by √(x) to get x^(2) √(x) - √(x) + ( √(x) )/(x)
(x^(3) - x + 1)/(√(x)) = (x^(3) - x + 1)/(√(x)) * (√(x))/(√(x)) = ((x^(3) - x + 1)√(x))/(x) = (x^(3)√(x) - x√(x) + √(x))/(x) = x^(2)√(x) - √(x) + (√(x))/(x)

Range of function f(x)=3x-12 for the domain {-2,2}

Answers

I think (x-12)/3 right?

Simultaneous Equations
2x+4y=22
2x+2y=15

Answers

Answer:

x = 4

y = (7)/(2)

Step-by-step explanation:

Ummmm

I'm not sure if this is corrrect but this is what I got

So first you solve 2x+4y=22 to find x

and you get x = -2y+11

Then you have to subtitute -2y+11 for x in 2x+2y=15

which you then get y= (7)/(2)

After you have to subttitute y= (7)/(2)  for y in x = -2y+11

which you get as x=4

Finally you get the answer as:

x = 4

y = (7)/(2)

Graph by making a table. y= -8x

Answers

x      y
-5    40
-4    32
-3    24
-2    16
-1    8
0    0
1    -8
2    -16
3    -24
4    -32
5    -40

What’s the measure of ACD

Answers

Answer:

option H, 130°

Step-by-step explanation:

In order to find the measure of ∠ACD, first find the measure of ∠ACB

∠ACB + ∠ABC + ∠BAC = 180° (angle sum property of a triangle)

∠ACB + 95° + 35° = 180°

∠ACB + 130° = 180°

∠ACB = 180° - 130°

∠ACB = 50°

∠ACD + ∠ACB = 180° (linear pair)

∠ACD + 50° = 180°

∠ACD = 180° - 50°

∠ACD = 130°

therefore, option H is the correct option

hope it helps you!