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Using the Law of Cosines Given SAS
Information
Z
Find the value of x to the nearest tenth.
Which of the following equations correctly sets up
the law of cosines to solve for x?
552 - 52 +82-25)(8)· cos(X)
2-52 +82-2(5)(8).cos(559)
O * - (5+8) -2(5)(8).cos(559)
552 - 52 +82-2(5)(8) cos(x)
5
55°
Y
DONE
8

Answer:

<BCA = 44.4°

Step-by-step explanation:

Reference angle = <BCA = C

Opposite side length = x = 7 cm

Hypotenuse = y = 10 cm

Applying trigonometric ratio, we would have:

[tex] sin(C) = \frac{7}{10} [/tex]

[tex] C = sin^{-1}(\frac{7}{10}) [/tex]

[tex] C = 44.427004 [/tex]

<BCA = 44.4° (to 3 SF)

Answer:

A) [tex]y=-\frac{1}{20}x+20[/tex]

B) 14 gallons of gasoline

A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

Given is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.

The given table is -

Miles [m]    Gallons [g]

  0                 20

 20                19

 40                18

 60                17

We can write the linear function as -

y = mx + c

We can write the slope as -

m = {(19 - 20)/(20 - 0)}

m = (- 1/20)

At [x] = 0, then [y] = 20. So, the equation will be -

y = (-1/20)x + 20

y = - (1/20)x + 20

At [x] = 120 miles -

y(120) = (-1/20 x 200) + 20

y(120) = - 10 + 20

y(120) = 10 gallons

Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

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brainly.com/question/17421223

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Answer:

x > -5

Step-by-step explanation:

[tex] - 6x > 30 \\[tex] 6x < - 30 \\ \frac{ 6x}{ 6} < \frac{- 30}{ 6} \\ x < - 5[/tex]

Answer:

15x + 9 (We combing like terms. Ex. 16x and -x)

Answer:

15x+9

Step-by-step explanation:

16x+7+2-x

16x-x+7+2

15x+9

Answer:

x=-5, y=-1

Step-by-step explanation:

Substitute x=-4+y into -2x-5y=15. So we have

-2(-4+y)-5y=15

8-2y-5y=15

-7y=7

y=-1

And x is -4+y so x= -4+(-1)= -5.

Answer:

The explanatory variable is the type of program the people watched. The response variable is the number of calories consumed. This was an experiment.

Answer:108.54

Step-by-step explanation:

Answer:

108.54

Step-by-step explanation: turn 81% into a decimal, .81, then multiply by 134.

Answer: If you're talking about fractions, then it's 2/3.

Step-by-step explanation:

Step one is to divide.  Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.  And you should get your answer.

Answer:

0.5

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:

my 16 inch

Step-by-step explanation:

Answer:

6:5

18:15

Step-by-step explanation:

Answer:

a and b

Step-by-step explanation:

Answer:

{January, February, March, April, May, June, July, August, September, October, November}

Step-by-step explanation:

The set is formed by months of year with indexes larger than 0 and lesser than 12.

The year starts at month 1, which is January, and finishes at month 12, which is December.

Since we want lesser than 12, December is not part of the set. So the answer is given by:

{January, February, March, April, May, June, July, August, September, October, November}

Answer:

8 x 3

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

3 x 8 = 24

Answer:

The probability is 3/5

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

There are 2 + 4 + 4 + 4 + 2 + 4 = 20 itens.

Of those, 2 + 4 + 2 + 4 = 12 itens have white or red.

So

12/20 = 3/5

Answer:

q = 4p - 32

Step-by-step explanation:

P = 1/4q + 8

Making q the subject

P - 8 = 1/4q

Divide both sides by 1/4

q = (p - 8) ÷ 1/4

= (P - 8) × 4/1

= 4p - 32

q = 4p - 32

Answer:

2.5 percent chance

Step-by-step explanation:

50 total students, only 5 students have no preference.

5% of 50 is 2.5

Answer:

4m+8

Step-by-step explanation:

7m+2-3m+6

combined the 7m and the 3m to get 4m

And combined the 2 and 6 to get 8

then add them to together and get 4m+8

Answer:

you have the answer right

Answer:

x=y

y=x

y=2

x=2

(3)(2)

3 times 2 is 6

Step-by-step explanation:

Answer:24? The numbers are increasing by 2 each time. Starting from 4, 8, 10, 12, 14, 16, 18, 20, 22, 24. Where 24 is the tenth number in the sequence.

Step-by-step explanation:

Answer:

34/5, 6 4/5

Step-by-step explanation:

1 1/5 = 6/5

8-6/5 = 40/5 - 6/5 = 34/5

Answer:

Step-by-step explanation:

Below numbers are divisible by the number of students:

Lets find GCF of 24 and 36:

The largest possible number of students is 12

Answer:

[tex]\displaystyle g=\frac{4\pi^2l}{T^2}[/tex]

Step-by-step explanation:

Equation Solving

Given the equation

[tex]\displaystyle l=\frac{gT^2}{4\pi^2}[/tex]

It's required to solve it for g. Let's swap sides of the equation:

[tex]\displaystyle \frac{gT^2}{4\pi^2}=l[/tex]

Multiply by [tex]4\pi^2[/tex] to remove the denominator:

[tex]\displaystyle gT^2=4\pi^2l[/tex]

Divide by [tex]T^2[/tex]

[tex]\boxed{\displaystyle g=\frac{4\pi^2l}{T^2}}[/tex]

Answer:

3 1/5

Step-by-step explanation:

.....