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DaniilM [7]
3 years ago
6

Please I need help. Find the sum of the interior angles of the figure below.

Mathematics
1 answer:
FrozenT [24]3 years ago
5 0
Ok so to find the sum of interior angles the formula is

s=180(n-2)
s is sum and n is the number of sides

so this is a quadrilateral cause it has 4 sides

because of that n=4

substitute

s=180(4-2)

now you can either distribute or do pemdas but its easier and more efficient to just do pemdas

s=180(2)
s=360 degrees
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Match the trigonometric ratios with their values based on the triangle shown in the diagram.
vova2212 [387]
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This is because sin would mean Opposite/Hypotenuse, and so if the angle is D then the opposite is 4.

sin C - 3/5
This is basically the same reason as sin D, however this time the Opposite is 3.

sin D × cos D - 4/5 × 3/5 = 12/25
For here, you just get the fractions of sin D, which we got earlier, and cos D, which would be Adjacent/Hypotenuse and therefore 3/5.

tan C × tan D - Not an option

cos C × tan D - 16/15
This is because cos C would be 4/5, and tan D would be 4/3 (Opposite/Adjacent) and multiplying those fractions together gives 16/15.

I hope this helps!
6 0
3 years ago
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Find the inverse of f(x)=−3/2x+7/2.
timama [110]

Answer: f^{-1}(x)=-\frac{2}{3}x+\frac{7}{3}

Step-by-step explanation:

To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.

y=-\frac{3}{2}x+\frac{7}{2}                       [replace y with x and x with y]

x=-\frac{3}{2}y+\frac{7}{2}                       [subtract both sides by 7/2]

x-\frac{7}{2} =-\frac{3}{2}y                       [multiply both sides by -2/3]

-\frac{2}{3} (x-\frac{7}{2} )=y                     [distribute]

y=-\frac{2}{3}x+\frac{7}{3}

Now, we have our inverse function.

f^-^1(x)=-\frac{2}{3}x+\frac{7}{3}

7 0
3 years ago
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Answer:

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