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gladu [14]
3 years ago
8

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure.

Mathematics
1 answer:
kow [346]3 years ago
8 0

\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{3\sqrt{2}}\\ b=\stackrel{opposite}{3\sqrt{2}}\\ \end{cases} \\\\\\ c=\sqrt{(3\sqrt{2})^2+(3\sqrt{2})^2}\implies c=\sqrt{3^2\sqrt{2^2}+3^2\sqrt{2^2}}\implies c=\sqrt{18+18} \\\\\\ c=\sqrt{36}\implies c=6

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The area of a circle with the radius 3 feet is ____ ft^2 ? Rounded to the nearest hundredths
nordsb [41]

Answer:

28.26ft^2

Step-by-step explanation:

The formula for area of circle is:

A=3,14*r^2, where r =3 and 3,14 is pie number, so we have

A=3.14*9=28,26

5 0
2 years ago
Read 2 more answers
What is 1/2 + 1/3 + 1/4 - (.2 +.3 +.4)? Express your solution as a simplified fraction.
Nesterboy [21]

Answer:

2

Step-by-step explanation:

1/2+1/3+1/4 - 0.9

0.9 = 9/10

So, 1/2+1/3+1/4+9/10

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6 0
3 years ago
The number of bacteria in petri dish A doubles every 10 minutes. The number of bacteria in oetri dish B doubles every 6 minites.
marissa [1.9K]
Givens
Petri Dish A sees a double ever 10 minutes
Petri Dish B sees a double ever 6 minutes

Consequences
A doubles 60 / 10 = 6 times.
B doubles 60 / 6 = 10 times.

Solution
If you work best with numbers then suppose there are 100 bacteria in both dishes at the beginning
A = 100 * 2^6
B = 100 * 2^10

A will have 100 * 64 = 6400 bacteria growing inside A
B will have 100 * 1024 = 102400 bacteria growing inside B

B/A = 102400 / 6400 = 16

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7 0
3 years ago
-5x+y=6<br> -3x+6y=-12<br> Solving systems of equations by substitution
Yakvenalex [24]

if you isolate y in the top equation to get y=5x+6 then you can substiture y for 5x+6 in the bottom equation because thats what y equals

as of now you have -3x+6(5x+6)=-12 but if you use the distrubite property you would get -3x+30x+36=-12

then if you subtract 36 from both sides you would get -3x+30x=-48 then combine like terms to get 27x=-48 then divide both sides by 27 to get x=\frac{-48}{27} or x≈1.8

4 0
3 years ago
What is the value of the expression <br><br> 3.2(2.3)-4.8
Artist 52 [7]
The value of the equation is 2.56
8 0
2 years ago
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