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3 years ago

Simplify: ( 1^0+2^1+3^2) ÷ 22/ 5^0

Mathematics

2 answers:

Aleksandr-060686 [28]3 years ago

7 0

Step-by-step explanation:

( 1 + 2 + 9 ) ÷ 22/ 1

12 ÷ 22

6 ÷ 11

cc: Anything raised to the power of zero is 1

jek_recluse [69]3 years ago

3 0

Answer:

6(1/11)

Step-by-step explanation:

( 1^0+2^1+3^2) ÷ 22/ 5^0

( 1+2+9) ÷ 22/ 5^0

( 1+2+9) ÷ 22/ 1

( 1+2+9) • 1/22

12 • 1/22

6(1/11)

Hope this helps!

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3 years ago

What is the length of segment AE?

nexus9112 [7]

Answer:

$AE=\frac{50}{3}\ units$

Step-by-step explanation:

step 1

In the right triangle ABC

Applying the Pythagoras Theorem fin the hypotenuse AC

$AC^{2} =AB^{2}+BC^{2}$

substitute

$AC^{2} =6^{2}+8^{2}$

$AC^{2} =100$

$AC =10\ units$

step 2

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

$\frac{AB}{CD}=\frac{AC}{CE}$

substitute and solve for CE

$\frac{6}{4}=\frac{10}{CE}\\ \\CE=4*10/6\\ \\CE=\frac{20}{3}\ units$

step 3

Find the length of segment AE

AE=AC+CE

substitute the values

$AE=10\ units+\frac{20}{3}\ units=\frac{50}{3}\ units$

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4 years ago

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3 years ago

Simplify: ( 1^0+2^1+3^2) ÷ 22/ 5^0​

Simplify: ( 1^0+2^1+3^2) ÷ 22/ 5^0