2 years ago

What is the length of the leg in a 45-45-90 triangle with a hypotenuse of 1?

Mathematics

1 answer:

disa [49]2 years ago

6 0

Answer:

√2 / 2

Step-by-step explanation:

In a 45-45-90 triangle, the length of a leg is equal to the hypotenuse / √2

Therefore, the length of a leg is 1 / √2

Rationalize by multiplying the numerator and denominator by √2, and this becomes √2 / 2

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2 years ago

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Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.

goblinko [34]

Answer:

Hi,

a=b+3

Step-by-step explanation:

$\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}$

$\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}$

Thus:

c+2b+8-4a=c-a-b-1

3b-3a=-9

a=b+3

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2 years ago

One baseball team played 36 games throughout their entire season. If this baseball team won 18 of those games, then what percent

gizmo_the_mogwai [7]

They have won 50% of their games.

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2 years ago

What is 2/21 times 7/5

boyakko [2]

Answer:

2/21 times 7/5 is 14/105.

Step-by-step explanation:

2 • 7 = 14 Multiply the numerators

21 • 5 = 105 Multiply the denominators

14/105

Hope this helps,

♥A.W.E.S.W.A.N.♥

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3 years ago

Mike has a total of 1371 coins in his piggy bank if the total value of his coins is $230.25 and make it only has dimes and quart

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750 - 621 = 129 more dimes than quarters

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2 years ago