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QveST [7]
3 years ago
15

The legs of a right triangle measure 5 inches and 7 inches. If theta is the angle between the 7 inch leg and the hypotenuse, sin

theta = ___
Mathematics
2 answers:
Komok [63]3 years ago
8 0

sinx = 7/sqrt(74) = .81


pochemuha3 years ago
3 0

Answer:

sin (θ) = 0,58

Step-by-step explanation:

The formula for sin (θ) is:

sin (θ) = (opposite side)/hypotenuse

The opposite side to the θ angle is the one that measures 5 inches, but we don’t know the measure of the hypotenuse. The Pythagoras theorem gives us the following formula:

side 1²+ side 2²= hypotenuse²

Then,

5²+7²=74

√74= 8,60 inches; this is the measure for the hypotenuse.

Replacing this value in the formula for sine:

sin (θ) = 5/8,60  = 0,58

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Answer:

\large \boxed{\sf \ \ x=0, \ \ y=-5 \ \ }

Step-by-step explanation:

Hello, please consider the following.

We have two equations:

(1) -2x - 4y = 20

(2) -3x + 5y = -25

5*(1)+4*(2) gives

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   -22x = 0

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I replace in (1)

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Hope this helps.

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3 0
3 years ago
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Which function f (x) , graphed below, or g (x) , whose equation is g (x) = 3 cos 1/4 (x + x/3) + 2, has the largest maximum and
Leya [2.2K]

Answer:

g(x), and the maximum is 5

Step-by-step explanation:

for given function f(x), the maximum can be seen from the shown graph i.e. 2

But for the function g(x), maximum needs to be calculated.

Given function :

g (x) = 3 cos 1/4 (x + x/3) + 2

let x=0 (as cosine is a periodic function and has maximum value of 1 at 0 angle)

g(x)= 3 cos1/4(0 + 0) +2

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3 years ago
In triangle abc angle a = 40◦, side b = 11 and side c = 5. use the cosine rule to find the length of side a, to two decimal plac
Sonbull [250]
A^2 = b^2 + c^2 - 2bc cos a

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to find the remaining angles use the sine rule:-
a / sin A = b / sin B so

7.857/ sin 40 =  11 / sin B
sin B = 11 sin40 / 7.857 = 0.8999

<B = 64 degrees 

so <C = 180 - 64-40  =  76 degrees
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Answer:

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