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geniusboy [140]
3 years ago
5

Find c, the hypotenuse, rounded to four decimal places, in a right triangle with b = 16 and B = 55°

Mathematics
2 answers:
vredina [299]3 years ago
8 0
C is 19.5
I believe not promising
devlian [24]3 years ago
4 0

Answer:

19.5324

Step-by-step explanation:

sin(55)= 16/x

x(0.819) = 16

x= 19.5324

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The table shows some values of a function of the form y = ax2 + bx + c.
natali 33 [55]

Answer:

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Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

We choose three points (3, -10), (4, -16) and (5, -24) from the table and satisfy the equation to get the values of a, b, and c.

For point (3, -10)

-10 = a(3)² + 3b + c

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For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

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Equation (1) - equation (2)

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Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

-9a - b = 8

9a + b = -8 -------(5)

Equation (4) - Equation (5)

(7a + b) - (9a + b) = -6 + 8

-2a = 2

a = -1

From equation (4),

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b = 1

From equation (1)

9(-1) + 3(1) + c = -10

-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

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