Answer:
Options A and B are applicable.
Step-by-step explanation:
The lengths of the sides of a right triangle obey the Pythagoras Theorem that says (Perpendicular)² + (Base)² = (Hypotenuse)².
Now, in option A, the side lengths are 11, 13, and √(290).
So, those lengths form a right triangle as 11² + 13² = {√(290)}².
Again, in option B, the given side lengths are 7, 24, and 25.
So, those lengths form a right triangle as 7² + 24² = 25².
Finally, in option C, the given side lengths are 2, 5, and 7.
But, those lengths do not form a right triangle as 2² + 5² ≠ 7².
Therefore, options A and B are applicable. (Answer)
Answer:
Step-by-step explanation:
Distribute:
=9t+1+(7)(1)+(7)(9t)
=9t+1+7+63t
Combine Like Terms:
=9t+1+7+63t
=(9t+63t)+(1+7)
=72t+8
The answer is: " 2 :5 " ; or, write as: " 2/5 " .
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The ratio of 'girls' to 'all students' is: "2: 5 " ; or, write as: " 2/5 ".
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Explanation:
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Given: The ratio of boys to girls is: " 3:2 " .
Problem: Find the ratio of "girls" to "all students:
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Note: This ratio of "boys to girls", which is " 3 : 2 " ;
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→ 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 " .
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→ 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 " .
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The ratio of "girls" to "all students" is: "2x : 5x " ; or " 2x/5x " ;
→ Both "x" values cancel ; {since: " x/x = 1 "} ;
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→ and we have the answer: " 2 :5 " ; or, write as: " 2/5 " .
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The ratio of 'girls' to 'all students' is: " 2 :5 " ; or, write as: " 2/5 ".
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EQUATION OF A CIRCLE: (x-h)² + (y-k)² =r²
= (x+1)² + (y-4)² =3
Answer:20 gallons
Step-by-step explanation:
