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3 years ago

What is the length of a leg in a 45-45-90 triangle is the hypotenuse is 8

Mathematics

1 answer:

Gekata [30.6K]3 years ago

5 0

Answer:

The legs are both of length 4√2

Step-by-step explanation:

Let the length of one of the two equal legs be x. Then, by the Pythagorean Theorem, x^2 + x^2 = 8^2, or

2x^2 = 64, or x^2 = 32 = 2(16)

Solving for x, x = 4√2. The legs are both of length 4√2.

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Justin wanted to wrap his moms birthday present shaped like a rectangular prism with pretty paper. The box is 2.1 feet long, 2.7

JulijaS [17]

Answer:

42.06 ft²

Step-by-step explanation:

2 sides = 2(2.7 ft × 3.2 ft) = 2 × 8.64 ft² = 17.28 ft²

Front + back = 2(2.1 ft × 3.2 ft) = 2 × 6.72 ft² = 13.44 ft²

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Total area = 42.06 ft²

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3 years ago

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3 years ago

Which of the following is an extraneous solution of (45-3x)^1/2=x-9?

Alisiya [41]

Answer:

The answer is C: X = 3

Step-by-step explanation:

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3 years ago

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Find the area to 5 cm and 9 cm

Alexandra [31]

Answer:

$\large\boxed{A=45\ cm^2}$

Step-by-step explanation:

It's a parallelogram.

The formula of an area of a parallelogram:

$A=bh$

b - base

h - height

We have b = 9cm and h = 5cm. Substitute:

$A=(9)(5)=45\ cm^2$

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3 years ago

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What's the explicit rule for the sequence 3, -6, 12, -24, 48, ...?

777dan777 [17]

Answer:

$\sf \dfrac{-3}{2}(-2)^n$

Step-by-step explanation:

Explicit formulas are used to represent all the terms of the geometric sequence with a single formula.

$\sf \boxed{\bf t_n = ar^{n-1}}$

a is the first term.

r is the common ratio.

r = second term ÷ first term.

3 , - 6 , 12, - 24, 48 ,........

a = 3

r = -6 ÷ 3 = -2

$\sf t_n = 3*(-2)^{(n-1)}\\\\$

$\sf = 3*(-2)^{n}*(-2)^{-1}\\\\ =3*(-2)^n*\dfrac{-1}{2}\\\\= \dfrac{-3}{2}(-2)^n$

Check:

$\sf t_1 =\dfrac{-3}{2}*(-2)^1=\dfrac{-3}{2}*(-2) = 3\\\\\\t-2 = \dfrac{-3}{2}*(-2)^2 = \dfrac{-3}{2}*4=-6\\\\\\t_3=\dfrac{-3}{2}*(-2)^3=\dfrac{-3}{2}*(-8)=12$

4 0

1 year ago

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