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2 years ago

PLEASE HELP!!!

Mathematics

1 answer:

Alla [95]2 years ago

8 0

Answer:

area of window=1/2(πr²)=πr²/2=10²/2 π=50πinch²=50×3.14=157inch²

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Linda is one of 8 teachers in the Mathematics department. In how many different ways can three of the teachers be chosen so that

Alexxx [7]

Answer:

21 ways

Step-by-step explanation:

a, b, c, d, e, f, g, linda

1 2 linda

a__ b__ __

a__c __ __

a__d __ __

a__ e__ __

a__ f__ __

a__ g__ __

b__c __ __

b__d __ __

b__ e__ __

b__ f__ __

b__ g__ __

c__d __ __

c__ e__ __

c__ f__ __

c__ g__ __

d__ e__ __

d__ f__ __

d__ g__ __

e__ f__ __

e__ g__ __

f__ g__ __

count them

in total

there are

21 triples

4 0

2 years ago

The ratio of boys to girls at King Middle school is 3:2. What is the ratio of girls to all students?

Dominik [7]

The answer is: " 2 :5 " ; or, write as: " 2/5 " .
________________________________________________________
The ratio of 'girls' to 'all students' is: "2: 5 " ; or, write as: " 2/5 ".
________________________________________________________
Explanation:
________________________________________________________
Given: The ratio of boys to girls is: " 3:2 " .

Problem: Find the ratio of "girls" to "all students:
________________________________________________________
Note: This ratio of "boys to girls", which is " 3 : 2 " ;
________________________________________________________
→ can be expressed as " 3x: 2x" ;

in which the total number of students is: " 3x + 2x " = 5x " .

→ The total number of students is represented as: " 5x " .
________________________________________________________
→ The ratio of "girls to boys" is: "2x : 3x" .

→ {that is; the "inverse" of the ratio of "boys to girls"} ;
→ {that is; the "inverse" of " 3x: 2x" } ; → which is: " 2x : 3x " .
________________________________________________________

The ratio of "girls" to "all students" is: "2x : 5x " ; or " 2x/5x " ;
→ Both "x" values cancel ; {since: " x/x = 1 "} ;
_________________________________________________________
→ and we have the answer: " 2 :5 " ; or, write as: " 2/5 " .
_________________________________________________________
The ratio of 'girls' to 'all students' is: " 2 :5 " ; or, write as: " 2/5 ".
_________________________________________________________

8 0

3 years ago

Every Sunday, Tamika sells pieces of homemade fudge at a local carnival. Each piece of fudge weighs 34 pound. Next Sunday, Tamik

Aloiza [94]

Answer:

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5 0

2 years ago

Solve the proportion

mario62 [17]

Answer:

$\boxed{\sf x = 5}$

Step-by-step explanation:

$\sf Solve \: for \: x \: over \: the \: real \: numbers: \\ \sf \implies \frac{2}{x - 3} = \frac{5}{x} \\ \\ \sf Take \: the \: reciprocal \: of \: both \: sides: \\ \sf \implies \frac{x - 3}{2} = \frac{x}{5} \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \\ \sf \implies \frac{x}{2} - \frac{3}{2} = \frac{x}{5} \\ \\ \sf Subtract \: \frac{x}{5} - \frac{3}{2} \: from \: both \: sides: \\ \sf \implies \frac{x}{2} - \frac{3}{2} - ( \frac{x}{5} - \frac{3}{2} ) = \frac{x}{5} - ( \frac{x}{5} - \frac{3}{2} ) \\ \\ \sf \implies \frac{x}{2} - \frac{3}{2} - \frac{x}{5} + \frac{3}{2} = \frac{x}{5} - \frac{x}{5} + \frac{3}{2} \\ \\ \sf \frac{x}{5} - \frac{x}{5} = 0 : \\ \sf \implies \frac{x}{2} - \frac{x}{5} - \frac{3}{2} + \frac{3}{2} = \frac{3}{2} \\ \\ \sf \frac{3}{2} - \frac{3}{2} = 0: \\ \sf \implies \frac{x}{2} - \frac{x}{5} = \frac{3}{2} \\ \\ \sf \frac{x}{2} - \frac{x}{5} = \frac{5x - 2x}{10} = \frac{3x}{10} : \\ \sf \implies \frac{3x}{10} = \frac{3}{2} \\ \\ \sf Multiply \: both \: sides \: by \: \frac{10}{3} : \\ \sf \implies \frac{3x}{10} \times \frac{10}{3} = \frac{3}{2 } \times \frac{10}{3} \\ \\ \sf \frac{3x}{10} \times \frac{10}{3} = \cancel{\frac{3}{10} } \times( x) \times \cancel{ \frac{10}{3} } = x : \\ \sf \implies x = \frac{3}{2} \times \frac{10}{3} \\ \\ \sf \frac{3}{2} \times \frac{10}{3} = \cancel{ \frac{3}{2} } \times \cancel{ \frac{3}{2} } \times 5 : \\ \sf \implies x = 5$

8 0

3 years ago

What is the radius of a circle if it's area is 36π?

alexira [117]

Area= pi x r^2
hence,

pi x r^2 = 36 x pi

=> r^2=36
=>r= root over 36 = 6

in short...the radius is 6

5 0

3 years ago