Write ratios for sin C, cos C, and tan C

Answer: [tex]64.2^{\circ}[/tex]

Step-by-step explanation:

According to the cosine rule

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]

Putting values

[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]

So, the ship turns by [tex]64.2^{\circ}[/tex] north of west

The ship turned an at angle of 64.2 degrees north of west

Represent the angle, the ship turned due north of west with theta.

From the figure, we have the following equation

[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]

So, we have:

[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]

Evaluate the expression on the right-hand side

[tex]\cos(A) = -0.4350[/tex]

Take the arc cos of both sides

[tex]A = \cos^{-1}(0.4350)[/tex]

[tex]A =115.8^o[/tex]

The value of theta is then calculated as:

[tex]\theta = 180 -A[/tex]

This gives

[tex]\theta = 180 -115.8^o[/tex]

[tex]\theta = 64.2^o[/tex]

Hence, the ship turned an at angle of 64.2 degrees north of west

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Answer:

D. 216 cm

Step-by-step explanation:  

1. I assume 14 is a 22 is b and 12 is h

2. Trapezoid Area Formula

[tex]A = \frac{1}{2}(a+b)h[/tex]

3. Plug in numbers

[tex]A = \frac{1}{2}(14+22)12[/tex]

[tex]216 = \frac{1}{2}(14+22)12[/tex]

Answer:

L's coordinates would go from being (x,y) to (-x, -y)

Step-by-step explanation:

So like, if L's coordinates were (5, 7) after rotation it would be (-5, -7)

If you were working backward and with L' being rotated you would do (-5, -7) change the sign and do (5,7) for L

Consenquently if you had a negative to begin with- L (-3, -4) L' would be the opposite sign and be (3,4)

Answer:

H, G, F, E

Step-by-step explanation:

If it isn't it's G, H, F, E

Hope this helps

Answer:

12

Step-by-step explanation:

lower quartile is the median of 11, 12, and 16

Answer:

9

Step-by-step explanation:

l l means absolute value

the absolute value of any negative number is the same number but positive

so the absolute value of -9 is positive 9

Answer:

9

Step-by-step explanation:

Absolute value (or the lines) makes everything inside of it positive, so |-9| = 9

Answer:

i could only get part one done

Step-by-step explanation:

Perimeter is a measurement of the distance around a shape and area gives us an idea. Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet

Answer:

5

Step-by-step explanation:

3(x+3)=4(4+2)

3x+9=24

3x=15

x=5

Hope this helps :)

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248

Answer:

a

Step-by-step explanation:

A which is add 40x to both sides wich is A

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{If you’re doing the DISTRIBUTIVE PROPERTY... all you have to}\\\large\text{MULTIPLY 4 within your PARENTHESES.}[/tex]

[tex]\large\text{}[/tex][tex]\large\text{4(5x) + 4(11)}[/tex]

[tex]\large\text{4(5x) = 20x}[/tex]

[tex]\large\text{4(11) = 44}[/tex]

[tex]\large\text{\bf = 20x + 44 }[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 20x + 44}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:}[/tex]

[tex]\large\text{Your GUIDE}\downarrow[/tex]

[tex]\textsf{Distributive formula}[/tex]

[tex]\textsf{a(b + c)}[/tex]

[tex]\textsf{a(b) + a(c)}[/tex]

[tex]\textsf{= ab + ac}[/tex]

Answer:

1 1/3 hours

Step-by-step explanation:

Pipe 1 alone:

fills the pool in 2 hours

in 1 hour, it fills 1/2 of the pool

Pipe 2 alone:

fills the pool in 4 hours

in 1 hour, it fills 1/4 of the pool

Pipe 1 and Pipe 2 working together:

fill the pool in x hours

in 1 hour, they fill 1/x of the pool

Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.

Working together, in 1 hour the two pipes fill 1/x of the pool.

Therefore,

1/2 + 1/4 = 1/x

2/4 + 1/4 = 1/x

3/4 = 1/x

x = 4/3

x = 1 1/3

Answer: 1 1/3 hours

Answer:

-2 (20x - 25)

Step-by-step explanation:

Answer:

40x - 50

Step-by-step explanation:

10(4x)= 40x

10(-5)= - 50

40x - 50

Answer:

Elapsed time: 1 hour and 9 minutes

Step-by-step explanation:

7:41 - 8:41 = 1 hour

8:41 - 8:50 = 9 minutes

1 hour and 9 minutes

Hope that helps!

Answer:

m∠3 = 127°

Step-by-step explanation:

From the given picture,

Two parallel lines have been given.

Angle 3 and another angle measuring 53° are located on a point of a straight line.

Therefore, both the angles will be supplementary.

m(∠3) + 53° = 180° [Property of supplementary angles]

m(∠3) = 180° - 53°

          = 127°

Answer:

c= 10 d=2 e=10 f=2 g= 10 h= 6 k=1

Step-by-step explanation:

I am not sure about the g, h and k though.

but cube root means the number thrice.

I hope it helps.

Answer:

14 on the bottom and 6 going up and down and then you complete the triangle make the other up and down side 6 so it makes a triangle not a sideway one

There are 11 possible values of side x, which are 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

The side lengths of the triangle,

a = 6 inches and b = 14 inches.

A triangle is formed when the length of third side is greater than difference of two sides and less than sum of two sides.

Let the third side is x,

So, the possible values of x could be,

14 - 6 < x < 14 + 6

8 < x < 20

The values of x can be 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.

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Answer:

Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.

Answer:

Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.

Step-by-step explanation:

Hope this helps!

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect

Answer:

[tex]3/8* 16 \\3*2\\6[/tex]

Step-by-step explanation:

Thus the mileage of water for this vehicle is 6 miles per gallon.

Answer:

51.85

Step-by-step explanation:

hope this helps lol

51.85

Percentage Calculator: 28 is what percent of 54? = 51.85.

Answer:

gf(5) = -8

Step-by-step explanation:

gf(x) = g(x^-1) = x^2 + 6x - 8

f(x) = 2x - 10

gf(x) = 6(2x - 10) - 8

gf(x) = 12x - 60 - 8

gf(x) = 12x - 68

gf(5) = gf(x) = 12x - 68

gf(5) = 12(5) - 68

gf(5) = 60 - 68

gf(5) = -8

Answer:

It's actually B

Step-by-step explanation:

The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B

Answer: 1=60°

Step-by-step explanation:

First, let's take our given angle of 30°

30° is in a right triangle, so the angles must be 90°, 60°, and 30°

Now the angle that is 45° makes angle 1 congruent to angle 60°

Meaning angle 1 is 60°

Answer:

m < 1 = 60

Step-by-step explanation:

Since the transversal is perpendicular to m,

it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.

We use vertically opposite angles property to bring m<1 in to the right triangle.

We now use the sum of interior angles property to obtain,

m < 1 + 30 + 90 = 180

This implies that,

m  < 1 + 120 + 180

We group like terms to obtain,

m < 1 = 180 - 120

This means that,

m < 1 = 60

We could have also used corresponding angles property, then

m < 1 + 30 = 90

m < 1 = 90 - 30

m < 1 = 60

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Answer:

table 2= could be multiply each of the numbers by 4

table three= plug the x value in the equation and the y into the equation and then just solve it and make sure you add eight before you put your answer in.

Step-by-step explanation:

Answer:

6th period.

Step-by-step explanation: