The Law of Sines: Mastery Test ? In triangle ABC, how long is side a if A = 24°, C = 55°, and c = 3? O 1.49 O 1.31 O 6.04 O 0.1 ​

Answer:

Zero

Step-by-step explanation:

Given: 3x+13=3(x+6)+1

Step 1: Expand

3x+13=3x+19

Step 2: Subtract 3 from both sides

3x+13-13=3x+19-13

Step 3: Simplify

3x=3x+6

Step 4: Subtract 3x from both sides

3x-3x=3x-3x+6

Step 5: Simplify

0=6

NO REAL SOLUTIONS

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

zero

Step-by-step explanation:

3x + 13 = 3(x + 6) + 1

3x + 13 = 3x + 18 + 1

3x - 3x = 18 + 1 - 13

0 = 18 + 1 - 13

0 = 6

NO SOLUTION

Answer:

[tex]x = \dfrac{1 + i\sqrt{47}}{6}[/tex]   or   [tex]x = \dfrac{1 - i\sqrt{47}}{6}[/tex]

Step-by-step explanation:

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

We have a = 3; b = -1; c = 4.

[tex] x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(4)}}{2(3)} [/tex]

[tex]x = \dfrac{1 \pm \sqrt{1 - 48}}{6}[/tex]

[tex]x = \dfrac{1 \pm \sqrt{-47}}{6}[/tex]

[tex]x = \dfrac{1 + i\sqrt{47}}{6}[/tex]   or   [tex]x = \dfrac{1 - i\sqrt{47}}{6}[/tex]

Answer:

96 green pens

Step-by-step explanation:

Super simple. You do: 14x+15x+24x=212 which is 53x = 212 and x=4

Green = 4*24=96

Respuesta:

3.00 p. M.

Explicación paso a paso:

El autobús sale en el Times simultáneamente a las 9 a.m.

Si cada autobús sale de la siguiente manera:

Bus A = cada 90 minutos

BUS B = cada 120 minutos

Bus C = cada 180 minutos

Para obtener la hora, los 3 buses volverán a salir simultáneamente:

Obtenga el mínimo común múltiplo de:

90 = 90, 180, 270, 360, 450, 540

120 = 120, 240, 360, 480, 600, 720

180 = 180, 360, 540, 720, 900

El mínimo común múltiplo es 360 minutos; por lo tanto, los 3 autobuses saldrán después de 360 ​​minutos;

360/60 = 6 horas

9.00 a.m + 6 horas = 3.00 p.m

Answer:

y=(-ax+c)/b

Step-by-step explanation:

ax+by=c

by=c-ax

by=-ax+c

y=(-ax+c)/b

[tex]\bold{\frac{5}{13} or 0.38}[/tex]

Answer:

Solution given:

here

by using Pythagoras law

hypotenuse =

[tex]\displaystyle\sqrt{adjacent ²+opposite ²}\\=\sqrt{15²+36²}=39[/tex]

Cos C=[tex]\frac{adjacent} {hypotenuse}=\frac{15}{39}=\frac{5}{13} or{0.38}[/tex]

Answer:

it will be

=> 4854

Step-by-step explanation:

hope it's helpful for you xd

Answer:

Volume of paint required is 3.125 litres.

Step-by-step explanation:

It would be noted that each side walls would have the shape of a trapezium. So that the areas of each wall can be determined as:

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

         =  [tex]\frac{1}{2}[/tex](0.5 + 1.5)2

        = 2 [tex]m^{2}[/tex]

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

          = [tex]\frac{1}{2}[/tex](1 + 3)2

          = 4 [tex]m^{2}[/tex]

wall 3 = [tex]\frac{1}{2}[/tex](a + b) h

         =  [tex]\frac{1}{2}[/tex](0.5 + 1.5)2

        = 2 [tex]m^{2}[/tex]

wall 4 = [tex]\frac{1}{2}[/tex](a + b) h

          = [tex]\frac{1}{2}[/tex](1 + 3)2

          = 4 [tex]m^{2}[/tex]

Total area of the walls = 2 + 2 + 4 + 4

                            = 12 [tex]m^{2}[/tex]

Area of the bottom base = l x b

                          = 1 x 0.5

                          = 0.5 [tex]m^{2}[/tex]

Total area to be painted = 12 + 0.5

                           = 12.5 [tex]m^{2}[/tex]

But to paint one square meter of a gap surface, we need 0.25 litres of a green paint color. Thus, to paint 12.5 [tex]m^{2}[/tex] of the gap surface:

12.5 x 0.25 = 3.125

The litres of paint required is 3.125.

Answer:

(y - 1) = 4(x +1)

Step-by-step explanation:

slope =  4

B = -4

given point (-1,1)

y = 4x -4 (this is the slope intercept form)

[tex](Y - Y_{1 }) = M (X - X_{1} )[/tex] (point slope form)

(y - 1) = 4(x +1) ... that is the point slope form

Answer:

Diameter = 14 units

Step-by-step explanation:

Volume ofa cylinder = πr²h

Volume of the cylinder = 245π cubic units

Height = 5 units

Volume of a cylinder = πr²h

245π = π × r² × 5

245π = 5r²π

Divide both sides by π

245π / π = 5r²π / π

245 = 5r²

r² = 245/5

= 49

r² = 49

r = √49

r = 7 units

Diameter = 2 × radius

= 2 × 7 units

= 14 units

Diameter = 14 units

Answer:

where is the figure?

u should upload the figure too

Answer:

False

Step-by-step explanation:

10-3 =7

-10 + 3 = - 7

That is why this is correct

Answer:

false

Step-by-step explanation:

(-10)+3=10-3

-7 = 7

= -7≠ 7

[tex]( - \frac{4}{9} )( \frac{7}{4} ) = \: \: negative [/tex]

[tex]( - 2 \frac{3}{4} )( - 1 \frac{1}{5} ) = \: \: positive[/tex]

[tex](3)( - 3)( - 3)( - 3)( - 3) = \: \: positive[/tex]

[tex]( - \frac{1}{6} )( - 2)( - \frac{3}{5} )( - 9) = \: \: positive[/tex]

[tex]( - \frac{4}{7} )( - \frac{3}{5} )( - 9) = \: \: negative[/tex]

[tex]( - \frac{10}{7} )( \frac{8}{3} ) = \: \: negative[/tex]

Answer:

115 degree

Step-by-step explanation:

x + 65 = 180 (Sum of angles in a straight line = 180 [Also known as Linear pair])

x = 180 - 65

x = 115 degree

Answer:

bike=7

car=8

walk=9

bus=12

Step-by-step explanation:

Answer:

Look at picture

Step-by-step explanation:

Answer:

His average speed is

12 km/hr

.

Step-by-step explanation:

Remember the triangle of Speed, Distance and Time. If you remember it, you'll ace these kinda questions.

I had trouble with these formulas but the triangle helped me a LOT! Anyways, let's get back to the question. The formula for average speed is pretty much the same as the formula for just speed. The average speed formula is

Average speed

=

Total Distance

Total Time

So......

48 km

4 hr

=

12 km/hr

My source

I hope this explanation helps you!

Answer:

1. LM < PN

2. AD < DC

3. m<CAB < m<CBA

4. m<1 = m<2

Step-by-step explanation:

Recall: an angle measure is relative to the length of the opposite side. That is, the longer the side opposite to an angle, the larger the measure of that angle and vice versa.

1. LM is opposite to <LNM,

PN is opposite to <NLP

m<LNM is less than m<NLP, therefore,

LM < PN

2. AD is opposite to <ABD

DC is opposite to <DBC

m<ABD is less than m<DBC, therefore,

AD < DC

3. m<CAB is opposite to CB

m<CBA is opposite to CA

CB is less than CA, therefore,

m<CAB < m<CBA

4. The side opposite to <1 is congruent to the side opposite to <2.

Therefore,

m<1 = m<2

Answer:

[tex] \frac{1}{4}x[/tex]

Step-by-step explanation:

take the reciprocal of 4 which is 1/4

Answer:

C. 1170 miles per 18 hours

D. 455 miles per 7 hours

Step-by-step explanation:

1170/18=65

455/7=65

Answer:

I believe the question is incorrect

Step-by-step explanation:   7  1  17  02

take the english statement and convert it to math

sum of the squares of two positive integers is 183      x² + y² = 183

one integer is 3 less than the other     x = y - 3      x is three less than y  

find the larger integer   use the two equations to solve for y the larger number

x² + y² = 183 and x = y - 3

(y - 3)² + y² = 183

y² - 6y + 9 + y² = 183

2y² - 6y = 182 - 9

2y² - 6y = 173  

2y² - 6y - 173  = 0  

this equation does not result in an integer

2y² - 6y - 173 = 0

Answer:

34 should be added to it to make it 20

Answer:

39.48

Step-by-step explanation:

1/2(5.3+13.5)(4.2)

Answer:

(a - b)²

Step-by-step explanation:

(a + b)² - 4ab

= a² + 2ab + b² - 4ab

= a² - 2ab + b²

= (a - b)²

Answer:

C

Step-by-step explanation:

Since it's the product, the two numbers must be multiplied together. -3 * x will equal 21, so -3x=21. By dividing both sides by -3, we see that x=-7

Answer:

p = 0

Step-by-step explanation:

1 - 4p - 2p = 1 - 5p

-6p + 1 = -5p + 1

-p + 1 = 1

-p = 0

p = 0

Answer:

y=43x-210

Step-by-step explanation:

Distribute 43

then add five on each side

you get y=43x-210, 43 and 210 cannot be sipilified so that is the answer.

Answer:

y=43x-210

Step-by-step explanation:

Distribute 43 through the parenthesis.

y-5=43x-215

Move the constant to the right and change its sign.

y=43x-215+5

Calculate sum.

y=43x-210

Hope i helped :)