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Alja [10]
2 years ago
13

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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What is the slope of a line is parallel to y=(1/2)x=3
aniked [119]
Hi there! The answer is (1/2)

I suppose you mean the slope of a line that is parallel to y = (1/2)x + 3.

This equation is written in slope-intercept form, which means that the number in front of x represents the slope of the line. The other number represents the y-intercept.

A line that is parallel to another line, will be a line with the same slope. Since the slope of y = (1/2)x + 3 is (1/2), the slope of a line parallel to this line is (1/2) as well.

~ Hope this helps you!
8 0
3 years ago
Complete these problems to review skills of the module (Will give 70 points)
bazaltina [42]
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3 years ago
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A commonly used unit of mass in the English system is the pound-mass, abbreviated lbm, where 1 lbm = 0.454 kg. What is the densi
Rashid [163]
<h2>Density of ethyl alcohol is 56.25 lbm/ft³ </h2>

Step-by-step explanation:

We have 1 lbm = 0.454 kg

1 kg = 2.203 lbm

1 m = 3.28 ft

Density of ethyl alcohol = 9.01 x 10² kg/m³

\texttt{Density = }\frac{9.01\times 10^2\times 2.203}{3.28^3}=56.25lbm/ft^3

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Density of ethyl alcohol = 56.25 lbm/ft³

3 0
3 years ago
Find the area of the irregularly-shaped hexagon below
Ber [7]

let each box length be 1

<em><u>for</u></em><em><u> </u></em><em><u>white</u></em><em><u> </u></em><em><u>triangle</u></em>

area = ½bh

=½(4)(2)

=4

<em><u>f</u></em><em><u>o</u></em><em><u>r</u></em><em><u> </u></em><em><u>o</u></em><em><u>r</u></em><em><u>a</u></em><em><u>n</u></em><em><u>g</u></em><em><u>e</u></em><em><u> </u></em><em><u>t</u></em><em><u>r</u></em><em><u>i</u></em><em><u>a</u></em><em><u>n</u></em><em><u>g</u></em><em><u>l</u></em><em><u>e</u></em>

area=½(2)(3)

=3

<em><u>f</u></em><em><u>o</u></em><em><u>r</u></em><em><u> </u></em><em><u>b</u></em><em><u>l</u></em><em><u>u</u></em><em><u>e</u></em><em><u> </u></em><em><u>m</u></em><em><u>a</u></em><em><u>r</u></em><em><u>k</u></em><em><u>e</u></em><em><u>d</u></em><em><u> </u></em><em><u>b</u></em><em><u>o</u></em><em><u>x</u></em><em><u>e</u></em><em><u>s</u></em>

each of the box

area=l²

=(1)²

=1

there are 16 boxes

so the total area will be 16

total area of the hexagon = 4+3+16

=23 square units

7 0
3 years ago
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I need help. Whats 50(3)^20?
Alex

Answer:

174339220050

Step-by-step explanation:

50(3^20)

=(50)(3486784401)

=174339220050

8 0
3 years ago
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