Find a.
Round to the nearest tenth:
2 cm
150
105
a = [? ]cm
Law of Sines: sin A sin B
sin C
b

Step-by-step explanation:

Infinitely many solutions are there....

hope it helps

Answer:

Since both have equal length

9x - 2 = 6x + 13

9x - 6x = 13 + 2

3x = 15

x = 15/3

x = 5

Length of BC = 6(5) + 13 = 43 cm

Step-by-step explanation:

Solution,

AB=9x-2

BC=6x+13

Now,

AC=AB+BC

=9x-2+6x+13

=15x+11

Answer:

Step-by-step explanation:

[tex](1 - Cos \ x)*(1+\dfrac{1}{Cos \ x})=(1- Cos \ x)* \left(\dfrac{Cos \x }{Cos \ x}+\dfrac{1}{Cos \ x} \right)[/tex]

                                         [tex]= (1-Cos \ x)*\left(\dfrac{Cos \ x + 1}{Cos x}\right)\\\\=\dfrac{(1-Cos \ x)(1+Cos \ x)}{Cos \ x}=\dfrac{1^{2}-Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{1 -Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{Sin^{2} \ x}{Cos \ x}\\\\=Sin \ x * \dfrac{ Sin \ x}{Cos \ x}\\\\[/tex]

                                         = Sin x * Tan x

Hence proved

Answer:

Below.

Step-by-step explanation:

I cant draw you a picture but it will be one right triangle inside the other where the vertical tower will be one leg common to 2 triangles and the base of the 2 triangles will be x and x+10 metres.

Tan 30 = h/ (x + 10)

tan 45 = h/x        where h is the height of the tower.

From the second equation  x = h / tan45

Substituting in the first equation;

tan30 = h / (h/tan45 + 10

Tan 30 = 1/ √3 and tan 45 = 1 so

1/ 1.732 = h/ (h + 10)

0.5774 = h/(h + 10)

h = 0.5774h + 57.74

0.4226 h = 57.74

h = 136.6 m to nearest tenth.

Answer:

32π in

= 100.48 in.

Step-by-step explanation:

From Area:

radius, r = √(A/π)

= √(256 π in²/π)

= 16 in

where π = 3.14

》 Circumference = 2π(r)

= 2π(16)

= 32π in.

= 100.48 in

Answer:

100 ( 4 - π rad )

Jdnzjdhbdudhejdjejd

[tex]numerical \: coefficient \: = > 7 \\ \\ literal \: coefficient \: = > \: xy[/tex]

hope that helps uh..☺

Answer:

37

Step-by-step explanation:

6x+y

Let x = 5 and y = 7

6*5+ 7

Multiply

30 +7

Add

37

9514 1404 393

Answer:

  71/63

Step-by-step explanation:

Let n represent the number of interest.

  -4/7 + n = 5/9 . . . . . n must be added to -4/7 to get 5/9

  n = 5/9 + 4/7 = (35 +36)/63 = 71/63

The number 71/63 must be added to -4/7 to get 5/9.

Answer:

y = 1/2x + 6

Step-by-step explanation:

y = 1/2x + b

2 = 1/2(-8) + b

2 = -4 + b

6 = b

Answer:

The choose 3.

[tex]f(x) = 0.5(0.2^{x} )[/tex]

f(1)=0.5 (0.2¹) = 0.5×0.2= 0.1

f(2)=0.5(0.2²)=0.5×0.04=0.020

I hope I helped you^_^

There are 60 students that prefer soccer

The first step is to determine the percentage of students that prefer soccer The percentage of students that prefer soccer = 100 - (53% + 26% + 15% ) = 6%

6% of the students surveyed prefer soccer

The second step is to determine the number of students that prefer soccer

Number of students that prefer soccer = (percentage of students that prefer soccer / 100) x total number of students surveyed

[tex]\frac{6}{100}[/tex] × 1000 = 60 students

A similar question was solved here : https://brainly.com/question/2371435?referrer=searchResults

Answer:

option D is correct

Step-by-step explanation:

=12 11/16 × 8 3/4

=203/16 × 35/4

=12.6875 × 8.75

After rounding of:

=13 cm × 9 cm.

Hey! If you have any confusion ,ask me any question about it.Thanks

Answer:

plot these points on the graph and connect them

Step-by-step explanation:

V(2,0)

T(5,-10)

U(9,-10)

Answer:

Business, management, marketing and technology.

Engineering, manufacturing and industrial technology.

i am not sure but i hope it will help you.

please mark me as brainlest.

Answer:

1) -18 divided by 9 is -2

2) -5x(-7) is 35x

Step-by-step explanation:

[tex] - 18 \div 9[/tex]

[tex] = - (18 \div 9)[/tex]

[tex] = - 2[/tex]

‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐

[tex] - 5x( - 7)[/tex]

[tex] = 5x \times 7[/tex]

[tex] = 35x[/tex]

Answer:

Yes

Step-by-step explanation:

Both arguments are squared so the equation are in the form of a circle.

A lotus is a point that is equidistant from some fixed point of a conic section. This is a circle so the fixed point is called a center of the circle.

The center of the circle is equidistant from any point on the circumference of the circle. In order for a point to be on the circle, it must satisfy the circle equation.

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

Let plug in what we know

[tex]3 {}^{2} + ( - 4) {}^{2} = {5}^{2} [/tex]

[tex]9 + 16 = {5}^{2} [/tex]

So 3,-4 is on the locus of the circle.

Answer:

0.4

Step-by-step explanation:

divide simply the given problem by using calculator

Answer:

0.4

Step-by-step explanation:

2/5 turned into a decimal is simply 0.4! Hope it helps :)

Answer:

2 (15/28)

Step-by-step explanation:

[tex]5 \frac{1}{4} - 2 \frac{5}{7} \\ = \frac{21}{4} - \frac{19}{7} \\ = \frac{21\times 7}{4 \times 7} - \frac{19 \times 4}{7 \times 4} \\ = \frac{147}{28} - \frac{76}{28} \\ = \frac{(147 - 76)}{28} \\ = \frac{71}{28} \\ = 2 \frac{15}{28} [/tex]

Answer:

6/7

Step-by-step explanation:

3-15 /7

3 - 15/7

= 6/7

Answer:

625 =5⁴

so ( (5)⁴)^1/4

that is 5

pls follow me

Answer:

-16

Step-by-step explanation:

x = -3 is less than -2, so you should use the first equation 5x-1

thus, 5(-3)-1 = -16

Answer:

This is just simply saying 1 divides by 2 we that is 0.5 in decimal

Hope I helped

Answer:

DCC

Step-by-step explanation:

CDDCDC

Different type of spaghetti dinners is 8

What is combination ?

"The number of possible arrangements in a collection of items where the order does not matter."

For 4 different shaped of noodles = ⁴c₁

                                             ⁴c₁ = 4        

For two kinds of cheese = ²c₁

                                         ²c₁ = 2

Now , multiplying these  4×2 = 8

Hence, 8 type of spaghetti dinners

For more about combination

https://brainly.com/question/21306575

#SPJ2

Answer:

Since there is one value of y for every x in the relation above, yes this relation is a function.

I hope this helped you get to your answer, or at least help you out a bit. Thanks and have a great day of learning!

Answer:

126.5 or 126 and 1/2 (one half)

Step-by-step explanation:

To find out how much that yearly salary is in weeks, we can take the number and divide by 52, because there are 52 weeks in the year.

54,262/52 = 1043 and 1/2 or 1043.5

Now, we must do 26 * 45 because you are working for 45 hours, and making $26 an hour.

and that number for 26 * 45 is 1170.

Now to find how much more you make from taking the hourly job over the salary job, you need to find the difference.

To do that, you would subtract 1170 and 1043.5 or 1043 and 1/2.

That is 126.5 or 126 and 1/2 (one half)

[tex]\\ \rm\longmapsto <DEC+<CEF=180[/tex]

[tex]\\ \rm\longmapsto 11x-12+2x+10=180[/tex]

[tex]\\ \rm\longmapsto 13x-1=180[/tex]

[tex]\\ \rm\longmapsto 13x=169[/tex]

[tex]\\ \rm\longmapsto x=\dfrac{169}{13}[/tex]

[tex]\\ \rm\longmapsto x=13[/tex]

Now

[tex]\\ \rm\longmapsto 11x-12=11(13)-12=143-12=131[/tex]

[tex]\\ \rm\longmapsto 2x+10=2(13)+10=36°[/tex]

Answer:

∠ DEC = 142°, ∠ CEF = 38°

Step-by-step explanation:

∠ DEC and ∠ CEF are adjacent angles on the straight line and sum to 180° , so

11x - 12 + 2x + 10 = 180 , that is

13x - 2 = 180 ( add 2 to both sides )

13x = 182 ( divide both sides by 13 )

x = 14

Then

∠ DEC = 11x - 12 = 11(14) - 12 = 154 - 12 = 142°

∠ CEF = 2x + 10 = 2(14) + 10 = 28 + 10 = 38°