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pantera1 [17]
3 years ago
7

A right triangle has side lengths 7, 24, and 25 as shown below.

Mathematics
1 answer:
elixir [45]3 years ago
7 0

Answer:

SinL = 7/25

CosL = 24/25

TanL = 7/24

Step-by-step explanation:

Find the diagram attached.

Using SOH CAH TOA in trigonometry identity to find the sinL, cosL and TanL

Note that the hypotenuse is the longest side = 25

The opposite will be the side facing the acute angle L

Opposite = 7

Adjacent = 24

For SinL

sinL = Opposite/Hypotenuse {SOH}

SinL = 7/25

For cosL:

CosL = Adjacent/Hypotenuse{CAH}

CosL = 24/25

For tanL:

TanL = Opposite/Adjacent {TOA}

TanL = 7/24

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AlekseyPX
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These do NOT form a right triangle.

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3 0
4 years ago
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Find the particular solution that satifies the differential equation and the initial condition. f"(x) = x2 f'(0) = 8, f(0) = 4
viva [34]

Answer:

f(x) = x^4/12 + 8x + 4

Step-by-step explanation:

f"(x) = x^2

Integrate both sides with respect to x

f'(x) = ∫ x^2 dx

= (x^2+1)/2+1

= (x^3)/3 + C

f(0) = 8

Put X = 0

f'(0) = 0+ C

8 = 0 + C

C= 8

f'(x) = x^3/3 + 8

Integrate f(x) again with respect to x

f(x) = ∫ (x^3 / 3 ) +8 dx

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f(0) = 4

Put X = 0

f(0) = 0 + 0 + D

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5 0
3 years ago
The midpoint of ab is m(5-2). If the coordinates of a are (6,-5), what are the coordinates of b
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The coordinate of B is (4,1)
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3 years ago
A carpenter has a piece of wood that is 78 inches long. He wants to cut it so that one piece is five times as long as the other
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Answer:

13 and 65

Step-by-step explanation:

x + 5x = 78

(because u want a piece (x) and a piece that's five times longer than x- so 5x. and they should come from a 78 inch piece)

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x = 78 / 6

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(to counter check:  13 * 5 = 65.  

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3 years ago
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Answer:

y³ - 3y² + 1/y+3

Step-by-step explanation:

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