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3 years ago

Find c to the nearest 10th. (laws of sines)

Mathematics

1 answer:

elena55 [62]3 years ago

8 0

Answer:

Option D

Step-by-step explanation:

By applying cosine rule in the given triangle,

a² = b² + c² - 2b.c.cos(m∠A)

By substituting values in the formula,

9² = 10² + c² - 2(10)(c)cos(15)°

81 = 100 + c² - 19.32c

c² - 19.31c + 19 = 0

By quadratic formula,

c = $\frac{19.31\pm\sqrt{(19.31)^{2}-4(1)(19)}}{2(1)}$

= $\frac{19.31\pm17.23}{2}$

= 1.08, 18.27

≈ 1.1, 18.3

Therefore, Option D will be the answer.

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D2-9k+3 for d=10 and k=9

AVprozaik [17]

Answer:

Step-by-step explanation:

10^2-9(9)+3

100-81+3

19+3

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3 years ago

For the following exercises, evaluate the function at the indicated values:

STALIN [3.7K]

Answer:

The evaluated function for the indicated values is given below.

The value of f(-3) is 20 .

The value of f(2) is 10 .

The value of f(-a) is $2|-3 a-1|$ .

The value of -f(a) is $-2|3 a-1|$ .

The value of f(a+h) is $2|3 a+3 h-1|$ .

Step-by-step explanation:

A function $f(x)=2|3 x-1|$ is given.

It is required to evaluate the function at $f(-3) ; f(2) ; f(-a) ;-f(a) ; f(a+h)$ .

To evaluate the function, substitute the indicated values in the given function to determine the output values and simplify the expression.

Step 1 of 5

The given function is $f(x)=2|3 x-1|$ .

To evaluate the function at f(-3), substitute -3 in the given function $f(x)=2|3 x-1|$\\ $f(-3)=2|3(-3)-1|$\\ $f(-3)=2|-9-1|$\\ $f(-3)=2|-10|$\\ $f(-3)=2(10)$\\ $f(-3)=20$$

Step 2 of 5

To evaluate the function at $f(2)$, substitute 2 in the given function.

$f(x)=2|3 x-1|$\\ $f(2)=2|3(2)-1|$\\ $f(2)=2|6-1|$\\ $f(2)=2(5)$\\ $f(2)=10$$

Step 3 of 5

To evaluate the function at f(-a), substitute -a in the given function.

$\begin{aligned}&f(x)=2|3 x-1| \\&f(-a)=2|3(-a)-1| \\&f(-a)=2|-3 a-1|\end{aligned}$

Step 4 of 5

To evaluate the function at -f(a), substitute a in the given function.

$f(x)=2|3 x-1|$\\ $-f(a)=-2|3(a)-1|$\\ $-f(a)=-2|3 a-1|$$

Step 5 of 5

To evaluate the function at f(a+h), substitute a+h in the given function. $f(x)=2|3 x-1|$

$\begin{aligned}&f(a+h)=2|3(a+h)-1| \\&f(a+h)=2|3 a+3 h-1|\end{aligned}$

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2 years ago

The multipliers of this system of equations have been determined to create opposite terms of the x-variable.

Ivan

Answer:

Step-by-step explanation:

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4 years ago

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There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun

Tomtit [17]

Answer:

1/12

Step-by-step explanation:

There is only number between 1 and 12 that is both a multiple of 5 and 2, that being 10. 10 has an equal chance out of all the other numbers that can be spun, and there are 12 numbers, so 10 has a 1/12 chance of being spun.

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3 years ago

What is the area of 10.5 tall and 9.2 long

mihalych1998 [28]

Answer:

A=LW

A=10.5 x 9.2

A=96.6

Step-by-step explanation:

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3 years ago