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3 years ago

Help Please! (8th Grade Math) :)

Mathematics

2 answers:

Yanka [14]3 years ago

6 0

Answer:

c = 75 in

Step-by-step explanation:

The hypotenuse of a right triangle is found by the Pythagorean theorem:

a² + b² = c² (a and b are the legs, c is the hypotenuse)

Plug in: 45² + 60² = c²

Square + square root: √(2025 + 3600) = c

Add: √5625 = c

Square root: 75 in = c (no negatives because we are finding distance)

PilotLPTM [1.2K]3 years ago

4 0

75 inches. You use the pythagorean theorem

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Ksju [112]

Answer:

Yes

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2 years ago

Mason has a collection of 49¢ stamps, 20¢ stamps, and 34 stamps worth $23.55. He has 56 total 49¢ and 20+ stamps and the number

tatuchka [14]

Answer:

Mason has

16 20¢ stamps;
25 3¢ stamps;
40 49¢ stamps.

Step-by-step explanation:

Let x be the number of 20¢ stamps, then the number of 3¢ stamps is x + 9.

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Amounts:

in 49¢: $49(56-x)$ cents;
in 20¢: $20x$ cents;
in 3¢: $3(x+9)$ cents.

Total amount:

$49(56-x)+20x+3(x+9);$
$23.55.

Hence,

$49(56-x)+20x+3(x+9)=2,355\\ \\2,744-49x+20x+3x+27=2,355\\ \\-49x+3x+20x=2,355-2,744-27\\ \\-26x=-416\\ \\26x=416\\ \\x=16$

Mason has

16 20¢ stamps;
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3 years ago

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Answer:

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2 years ago

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Step-by-step explanation:

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3 years ago

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polet [3.4K]

The equivalent expressions are:

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