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3 years ago

First, rewrite 5/9 and 11/21 so they have a common denominator. Then, use to order 5/9 and 11/21.

Mathematics

1 answer:

spayn [35]3 years ago

4 0

5/9 and 11/21

LCM of the denominators is 63

changing their denominators to all have a common denominator of 63:

5(7)/63 = 35/63

11(3)/63 = 33/63

from the above;

5/9 > 11/21.

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What is the total area of the prism?

Pavlova-9 [17]

First we look for the area of the triangle which is given by:
A = (1/2) * (4) * (6)
A = 12 feet ^ 2
Area of the rectangles:
Rectangle 1:
R1 = (4) * (8)
R1 = 32 feet ^ 2
Rectangle 2:
R2 = (6) * (8)
R2 = 48 feet ^ 2
Rectangle 3:
R3 = (root (6 ^ 2 + 4 ^ 2)) * (8))
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The total area will be:
A = 2A + R1 + R2 + R3
Substituting values:
A = 2 * (12) + 32 + 48 + 57,68882041
A = 161.6888204 feet ^ 2
Answer:
The total area of the prism is:
A = 161.6888204 feet ^ 2

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3 years ago

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3 years ago

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if bill puts $3,500 into an account that has a 2.5% interest rate compounded annually, how much money will bill have after 3 yea

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3 years ago

Solve. x2+5x−2=0 Enter your answers, as exact values, in the boxes. x = or x =

ziro4ka [17]

Answer:

$x=\frac{-5+\sqrt{33} }{2}$

$x=\frac{-5-\sqrt{33} }{2}$

Step-by-step explanation:

Using the quadratic formula in which a=1, b=5 and c=-2

$x_1=\frac{-b+\sqrt{b^{2}-4ac } }{2a} \\x_2=\frac{-b-\sqrt{b^{2}-4ac } }{2a}\\x_1=\frac{-5+\sqrt{5^{2}-4(1)(-2) } }{2(1)}\\x_1=\frac{-5+\sqrt{33} }{21}\\x_2=\frac{-5-\sqrt{25+8 } }{2}\\x_2=\frac{-5-\sqrt{33} }{2}$

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4 years ago