Find the value of the power. ( 5 6 ) 3

Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

$\bf \left( \cfrac{5}{6} \right)^3\implies \cfrac{5^3}{6^3}\implies \cfrac{125}{216}$

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Sarah earns $20 a day working after school. She spent 30% of her daily earnings on

Anarel [89]

Answer:

6 Dallas

Step-by-step explanation:

30 percent of 20$ is 6$

30 percent *20 =

( 30:100)*20 =

( 30*20):100 =

600:100 = 6

6 0

3 years ago

Read 2 more answers

PLZ HELP ME ASAP PLZ PLZ PLZ!!!!! I NEED LOTS OF HELP!!! I USED 40 POINTS

cupoosta [38]

First, some defintions
reciprocals are like a/b and b/a or 5/1 and 1/5

remember, $\frac{\frac{a}{b}}{\frac{c}{d}}=(\frac{a}{b})(\frac{d}{c})=\frac{ad}{bc}$

john's fraction is reciprocal of sarah's
john=a/b
sarah=b/a

david multiplies his by sarah and gets 12/35
(b/a)(david)=12/35

multplies his number by john and gets 12/35
(a/b)(david)=15/7

hmmm

(b/a)(david)=12/35 and
(a/b)(david)=15/7

if we divide them then we do
$\frac{(\frac{b}{a})(david)}{(\frac{a}{b})(david)}=\frac{\frac{12}{35}}{\frac{15}{7}}=$
$\frac{\frac{b}{a}}{\frac{a}{b}}=\frac{\frac{12}{35}}{\frac{15}{7}}=$
$(\frac{b}{a})(\frac{b}{a})=(\frac{12}{35})(\frac{7}{15})=$
$\frac{b^2}{a^2}=\frac{84}{525}=$
$\frac{b^2}{a^2}=\frac{4}{25}$
square root both sides
$\frac{b}{a}=\frac{2}{5}$

therefor
b=2 and a=5

john's number is a/b=5/2
sarah's number is 2/5

david, hmm

sarah times david=12/35
2/5 times david=12/35
times both sides by 5/2
david=60/70
david=6/7

check other

john times david=15/7
5/2 times 6/7=15/7
30/14=15/7
15/7=15/7
true

sarah's favorite number is 2/5
john's favorite number is 5/2
david's favorite number is 6/7

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3 years ago

To measure a stone face carved on the side of a mountain, two sightings 900 feet from the base of the mountain are taken. If th

olga nikolaevna [1]

Answer:

Height of the stone face = 66.29 feet

Step-by-step explanation:

Refer the given figure, here we need to find height of the stone face,

Height of the stone face = CD

CD = AD - AC

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