find the length of side a ​

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Explanation:

Apply the law of cosines to find angle C

c^2 = a^2 + b^2 - 2*a*b*cos(C)

19^2 = 11^2 + 17^2 - 2*11*17*cos(C)

361 = 121 + 289 - 374*cos(C)

361 = 410 - 374*cos(C)

361 - 410 = -374*cos(C)

-49  = -374*cos(C)

-374*cos(C) = -49

cos(C) = (-49)/(-374)

cos(C) = 0.131016042780749  ..... which is approximate

C = arccos(0.131016042780749)

C = 82.4716905247836

C = 82 degrees

Notes:

Answer:

130 degrees

Step-by-step explanation

Angle 6 is 130 degrees because it has a vertical angle relationship with the angle measure of 130 degree

Angle 6 and 2 are equal because of the corresponding angle relationship

OR

The angle measure of 130 degrees have an alternate interior angle relationship with angle 2 which makes them equal

Therefore angle 2 is 130

Hope it helped :))

Answer:

show us a photo

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y.

In this exercise we have to identify the treated inverse function and the graph that corresponds to it, so we have that what corresponds to this is:

Graph B corresponds to the given function.

In this way, the inverse function corresponding to:

[tex]f^{-1}(x)[/tex]

Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y. So we will have that the graph that correctly corresponds to this function is graph B.

See more about inverse function at brainly.com/question/5245372

Answer:

x = 4

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

[tex]\sqrt{2}[/tex] x = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 4

Step-by-step explanation:

[tex]x = y \\ 2 \sqrt{14} = x \sqrt{2} [/tex]

[tex]x = 2 \sqrt{7} [/tex]

[tex]x = y = 2 \sqrt{7} [/tex]

Answer:

you got it its where you're blue dot is the last one.

Step-by-step explanation:

Answer:

yea its the last one

Step-by-step explanation:

its pretty straight forward what the answer is

Answer: O {(0, -9), (-9, 0), (-3, -3)}

Step-by-step explanation:

Answer:

they are equivalent to 4

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

lets change it to a different question

does [tex]\frac{20}{14}=\frac{80}{56}[/tex]

Answer:

7

Step-by-step explanation:

For the problem:

3 1

2

÷  

1

2

= ?

Convert any mixed numbers to fractions:

3 1

2

=  

7

2

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

7

2

÷  

1

2

=  

7

2

×  

2

1

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

7 × 2

2 × 1

=  

14

2

The Greatest Common Factor (GCF) of 14 and 2 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

14

2

=  

14 ÷ 2

2 ÷ 2

= 7

The result is:

3 1

2

÷  

1

2

= 7

Answer:

House coordinate = (5, 1)

Library coordinate = (10, 13)

Step-by-step explanation:

Given :

House coordinate = (5, 1)

Library coordinate = (10, 13)

Distance between house snd library :

Distance = sqrt[(x2 - x1)² + (y2 - y1)]

x1 = 5, x2 = 10, y1 = 1, y2 = 13

Distance = sqrt[(10 - 5)² + (13 - 1)²]

Distance = sqrt[(5² + 12²)]

Distance = sqrt(25 +144)

Distance = sqrt(169)

Distance = 13

Answer:

- 3 ( 2x+1 ) 20

8x+5

_____________

8x+5×20 -3 ( 2×12.5+1 )

8×=100 -3 ( 25+1 )

100÷8= 12.5 -3 ( 26 )

×= 12.5

-3 ( 26 )

-3×2 + -3×6 = -6+ -18 = -24

-24

Answer:

There are 13 1/2 samples poured from the pitcher

Step-by-step explanation:

1/2 ÷ 6 3/4 = 13.5

Answer:

39.3078

Step-by-step explanation:

i am not for sure but i belive this is correct:)

Answer:

Upper one: Not necessarily Congruent

Below one: AAS Congruence Property

Answer:

w=5   x=2.1    y=5.4   z= 14.1

Step-by-step explanation:

w² = 13² - 12² = 25

w = 5

cos ∠1 = 12/13 = 13/(12+x)

12 (12+x) = 13 x 13 = 169

144 + 12x = 169

12x = 25

x = 25/12 = 2.08 = 2.1

∠1 + ∠2 = 90°

∠2 + ∠4= 90°    ∠4 = ∠1

sin ∠4 = x/y = sin ∠1 = 5/13

5y = 13x

y = 13/5 x = 13/5 * 25/12 = 65/12 = 5.4

z = 12 + x = 12 + 2.08 = 14.08 = 14.1

Answer: No, No, No, Yes

Answer:

The first one

Step-by-step explanation:

Its just playing with the signs, its not ____ and equal to so the last two arent it (because of the empty circle) and its greater than -1 so its number 1.

Answer:

$389.50

Step-by-step explanation:

$10.25x38=$389.50 gross pay

Answer:

-2

Step-by-step explanation:

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Answer:

y= -x

Step-by-step explanation:

y= -x

Answer:

[tex]V=81\ \text{feet}^3[/tex]

Step-by-step explanation:

A wooden box has a square base

One side of the base is 3 feet

The height of this box is 3 times the length of one side of the base, h = 3(3) = 9 feet.

The volume of the box is given by :

[tex]V=A\times h[/tex]

A is area of base

For square base, A = side²

[tex]V=3^2\times 9\\\\=81\ \text{feet}^3[/tex]

So, the volume of this box is [tex]81\ \text{feet}^3[/tex]

Answer:

4.95 * 20 = 99 your earnings

4.25 * 20 = 85 friends earnings

Step-by-step explanation:

44.55/9 = hourly earnings

                4.95 per hour

51/12= hourly earnings

                    4.25 per hour

4.95 * 20 = 99 your earnings

4.25 * 20 = 85 friends earnings

Answer:

$4

Step-by-step explanation:

As, interest = PTR /100

= 100 x 1 x 4/ 100

= $4

Total Interest = $4

Answer:7 familes

21 divided by 3=7

Step-by-step explanation:

Answer:

7 families

Step-by-step explanation:

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