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balandron [24]
3 years ago
10

What is the hypotenuse of a triangle with 4 ft and 5 ft

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

Answer:

\Large\text{The hypotenuse is}\ \sqrt{41}\ ft\approx6.4\ ft

Step-by-step explanation:

\text{Use the Pythagorean theorem:}

a^2+b^2=c^2

\text{a, b - legs}\\\text{c - hypotenuse}

\text{We have the legs 4ft and 5ft. Substitute:}

c^2=4^2+5^2\\\\c^2=16+25\\\\c^2=41\to c=\sqrt{41}

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ladessa [460]

Answer:

25\frac{1}{4} feet

<em />

Step-by-step explanation:

Given

Maddy = 67\frac{3}{4} above Jasmin

Jasmin = 42\frac{1}{2} below Quinn

Required

Determine Maddy's position relative to Quinn's

From the given parameter, one can easily deduce that Quinn is in between Maddy and Jasmin (See attachment)

Using the attachment as a point of reference;

z = 67\frac{3}{4}

x = 42\frac{1}{2}

The relationship between x, y and z is

z = y + x

Make y the subject of formula

y = z - x

Substitute the values of z and x

y = 67\frac{3}{4} - 42\frac{1}{2}

Convert to improper fractions

y = \frac{271}{4} - \frac{85}{2}

Take LCM

y = \frac{271 - 170}{4}

y = \frac{101}{4}

y = 25\frac{1}{4}

<em>Hence; Maddy's position relative to Quinn's is </em>25\frac{1}{4}<em> feet</em>

8 0
3 years ago
Find the value of x. If​ necessary, write your answer in the simplest radical form.
Paul [167]

Answer:

x = 4\sqrt{5}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

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x² + 1² = 9²

x² + 1 = 81 ( subtract 1 from both sides )

x² = 80 ( take square root of both sides )

x = \sqrt{80} = \sqrt{16(5)} = \sqrt{16} × \sqrt{5} = 4\sqrt{5}

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2 years ago
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s344n2d4d5 [400]
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Whats 1 3/-4 as an improper fraction
MissTica

Answer:

Step-by-step explanation:

Answer: 7/4

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Answer:

3/36 or 1/12

Step-by-step explanation:

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