\cos (x-10\deg )=(\sqrt(3))/(2)

Answers

Answer 1

Answer:

40°

Step-by-step explanation:

[tex]\cos (x-10\degree )= \frac{ \sqrt{3} }{2} \\ \\ \cos (x-10\degree )=\cos 30\degree \\ \\ x-10\degree = 30\degree \\ \\ x = 30\degree + 10\degree \\ \\ x = 40\degree[/tex]


Related Questions

Caleb rides his horse with a constant speed of 10 miles per hour. How long will he take to travel a distance of 15 miles?

Answers

Answer:

1 hour and 30 minutes

Step-by-step explanation:

Answer:

1 hour and 30 minutes

Step-by-step explanation:

15 is 10+1/210 1/2 is also known as 1515 miles at a constant of 10 miles per hour then equals 1 hour and a half 1 hour and 30 minutes

Two cruise ships leave the same port with a 35° angle between their path. Cruise A is traveling at 18 miles per hour and Cruise B is traveling at 15 miles per hour. If they travel in a straight path, find the distance between the cruise ships after 2 hours

Answers

Answer:

[tex]20\:\mathrm{miles}[/tex]

Step-by-step explanation:

After travelling two hours, the two cruise ships form a triangle. One of the legs  of this triangle will be the distance Cruise A travelled, and another will be the distance Cruise B travelled. We can find the distance they travel using:

[tex]s=\frac{d}{t}, d=s\cdot t[/tex]

Cruise A is travelling at 18 miles per hour for 2 hours. Therefore, Cruise A has travelled:

[tex]d=s\cdot t=18\cdot 2=36\:\mathrm{miles}[/tex]

Cruise B is travelling at 15 miles per hour for 2 hours. Therefore, Cruise B has travelled:

[tex]d=s\cdot t=15\cdot 2=30\:\mathrm{miles}[/tex]

Because we are given the angle between these legs, we can use the Law of Cosines to find the third leg. The Law of Cosines is given by:

[tex]c^2=a^2+b^2-2ab\cos C[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are interchangeable. Let [tex]c[/tex] represent the distance between the two cruises. We have:

[tex]c^2=36^2+30^2-2\cdot36\cdot30\cdot \cos 35^{\circ},\\c^2=426.63,\\c\approx \fbox{$20\:\mathrm{miles}$}[/tex](one significant figure).

9514 1404 393

Answer:

  20.7 miles

Step-by-step explanation:

The distance that A travels in the same direction as B is ...

  (18 mi/h)(2 h)cos(35°) = 29.489 mi

So, the difference in distances in that direction is ...

  (15 mi/h)(2 h) -29.489 mi = 0.511 mi

__

The distance A travels in the direction perpendicular to B is ...

  (18 mi/h)(2 h)sin(35°) = 20.649 mi

So, the straight-line distance between the ships is the hypotenuse of the right triangle with these distances as legs:

  AB = √(0.511² +20.649²) = √426.632 . . . miles

  AB = 20.655 miles ≈ 20.7 miles . . . separation after 2 hours

Right answer gets brainlist.

Answers

Answer:

2309

Step-by-step explanation:

V=[tex]\pi r^{2} h[/tex]

plug in

V=2309.07

ummmmmmmmmmmmmmmmmmm

Answers

Answer:

x=120

Step-by-step explanation:

This shape has 6 sides. It is a 720 degree shape.

to find an angle just get 720 divided by 6

720/6=

120

An equilateral triangle has a perimeter of 12x + 33. What is the length of each side of the triangle?

Answers

Answer:

4x + 11

Step-by-step explanation:

Here all sides of the triangle have the same length.  Thus, if the Perimeter is 12x + 33, and there are three sides, then the length of one side is

12x + 33

------------- = 4x + 11

      3

please solve the given equation ​

Answers

Answer:

noooooooooooooo to show and see

Ummmmm no thank youu

Round this “0.7660444431”into 4 decimals places!!!!!

Answers

Answer:

.7660

Step-by-step explanation:

when you get to 0 at 7660 you round with the number next to it if its 5 or bigger you add a one to the number since 4 isn't greater than or equal to 5 than your numbers stay the same

EASY I'LL GIVE BRAINLIEST!!!!
Write an equation in two variables that shows the relationship between the time(t) and the distance(d) travelled.

Moves right 2 meters
every 3 hours.

Answers

Answer:

d= 2/3t

Step-by-step explanation:

Jackie has already baked 17 pies, and she can bake 1 pie with each additional cup of sugar she buys.
With 18 additional cups of sugar, how many total pies can Jackie bake?

Answers

Answer:

35 pies

Step-by-step explanation:

17 + 18 = 35 pies

18 cups of sugar = 18 pies

The product of 25/-15 x 9 is
PLS I NEED THIS ASAPP

Answers

Answer:

-15

Step-by-step explanation:

25/-15×9

=5/-3×9

=5×-3

=-15

Step-by-step explanation:

[tex] \frac{25}{ - 15} \times 9 \\ = -15[/tex]

hi can u guys help me pla

Answers

Answer:

yes

Step-by-step explanation:

Halfway through the bowling season, Will had 32 strikes. He averages 2.5
strikes per game. Which inequality would be used to find the number of
games that it will take for Will to have at least 68 strikes?

Answers

Answer:

67

Step-by-step explanation:

IM NOT SUPER SURE

I think it might be 67

Which is an incorrect rounding for 53.864?

54
53.87
50
53.9

Answers

Answer: 50

Step-by-step explanation:

write an equation in slope-intercept form of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4)

Answers

Answer: y=5x-11

Step-by-step explanation:

y=5x-11 is the equation of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4).

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation of line is y= -1/5x + 1/4

The slope of the perpendicular line is 5.

We need to find  line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4)

4=5(3)+b

-11=b

Hence, y=5x-11 is the equation of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4).

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ3

Is 45 a multiple of 4? Explain your answer (20 point offer)

Answers

Answer:

The multiples of 4 are: 4,8,12,16,20,24,28,32,36,40,44,.

Step-by-step explanation:

so no

Answer:

No

Step-by-step explanation:

A multiple of x is any number that is in the form kx, where k is any integer

Therefore 45/4 should be an integer if it is a multiple.

45/4 = 11.25, which is not an integer

helpp me i need to get a 67 as my grade because i dont understand

Answers

Answer:

6.5 minutes

Step-by-step explanation:

Divide T (total number of minutes) by M (total number of miles)

Answer:

6.5

Step-by-step explanation:

10 miles/65 minutes

65 minutes/10 miles

you need to find minutes per mile

Divide (Total number of Minutes) by (Total number of miles)

65/10=6.5

Either Table L or Table M shows a proportional relationship.
Table
X
-1
0
1
2
у
-2
0
2.
4
Table M
х
-1
0
1
2.
y
0
6
9

Answers

Answer:

M

Step-by-step explanation:

The table of x, y values for a proportional relationship show that y is 0 when x is 0.  This applies to the second table (M).

6у = 8 - 9 + 6y

solve for y

Answers

Answer:

No solution exists

Step-by-step explanation:

What is the function g(x) created from f(x) = x2 by moving the graph left 2 units, adding vertical compression by a factor of 7, and
shifting the graph up 3 units?
A)
g(x) = 2(x +
B)
+ 1)2+3
g(x) = } (x - 2)2 + 3
- 1 x + 2)2+3
g(x) =
D)
g(x) = 3(x + 2)2 + 1

Answers

Answer:

g(x)=(1/7) (x+2)²+3

Step-by-step explanation:

I can't clearly recognize what are your A,B,C,D, but I think your equation should be like g(x)=(1/7) (x+2)²+3

When our family went out to dinner, the bill came to $55.75. There was 7%
tax and we left a 20% tip. Find the total price.
A.$15.05
B.$40.70
C.$82.75
D.$70.80

Answers

It would be D. 70.80

My guys do you thing giving brainliest!!!!

Answers

Answer:

Length = 49 feet

Step-by-step explanation:

Since 35/5 is equal to 7, that means for every inch on the drawing it represents 7 feet. So you could multiply 7(7) to get the actual length.

It rained 0.72 inches on Monday. On Tuesday, it rained 0.34 inches less than on Monday.
How much did it rain on Tuesday?

Answers

Answer:0.38 inch

Step-by-step explanation: If it rains 0.72 inch on Monday and on Tuesday it rains 0.34 less inch then, you would have to subtract them to get 0.38 inch aka answer.

Answer: The answer is 0.38 inches

Step-by-step explanation:

The question said that on Tuesday, it rain 0.34 less than on Monday which mean to subtract. Therefore, 0.72-0.34=0.38 inches.

I hope it helps :)


Which statement correctly identifies the line of reflection?
Vx
4
3
-6-5-4-3
2
5 6
X
ON
O The triangles are reflected across the x-axis.
O The triangles are reflected across the y-axis.
O The triangles are reflected across the line y = x
O The triangles are reflected across the line y = -x
Mark this and return
Next
Submit

Answers

Answer: C: The triangles are reflected across the line y = x.

Step-by-step explanation: I got right on edge.

How would the equilibrium change if the temperature were increased in
SO2(g) + NO2(9) = NO(g) + S03(g) + heat?
A. Only the reaction rate would change.
B. The equilibrium constant would decrease.
C. The amount of NO and SO3 would increase.
D. The amount of NO2 and SO2 would increase.

Answers

Answer:

D. The amount of NO2 and SO2 would increase.

Step-by-step explanation:

This is an exothermic reaction as Heat is among the products. Increasing the temperature would lead to more products in the reaction system. In order for the system to annul this change, more reactants would be formed.

The correct option is;

D. The amount of NO2 and SO2 would increase.

Solve: 6^2х-3 = 6^-2x+1 x = -1 х = 0 x= 1 х = 4​

Answers

Answer:

[tex] \huge \boxed {x = 1}[/tex]

Step-by-step explanation:

Both bases are the same so you will be able to solve the equation from exponent and exponent.

[tex]2x - 3 = - 2x + 1 \\ 2x + 2x = 1 + 3 \\ 4x = 4 \\ x = 1[/tex]

Answer Check

Substitute x = 1 in the equation.

[tex] {6}^{2(1) - 3} = {6}^{ - 2(1) + 1} \\ {6}^{2 - 3} = {6}^{ - 2 + 1} \\ {6}^{ - 1} = {6}^{ - 1} [/tex]

Both are same each sides. Therefore the equation is true.

Find the value of X
help asap plz

Answers

Answer:

12!! Glad I could help!!

Answer:

D) 12

Step-by-step explanation:

I would say that this is 12 because the angle x looks the same as the other shown angle.

Hope it helps!

Tres maquinas (A,B,C) producen el 40 % , 35% y 25 % respectivamente , del total de las piezas manufacturadas en una fabrica .Los porcentajes de produccion defectuosa de estas maquinas son del 3% 4 % y 5 % respectivamente

Answers

Answer:

  La probabilidad de que la pieza elegida sea defectuosa, P(D), 0.0385

La máquina con mayor probabilidad de haber producido la pieza defectuosa es A

Step-by-step explanation:

Sea D= "la pieza es defectuosa" y N= "la pieza no es defectuosa". La información del problema puede expresarse en el diagrama de árbol adjunto.

Para calcular la probabilidad de que la pieza elegida sea defectuosa, P(D), por la propiedad de la probabilidad total,

P(D) = P(A) · P(D/A) + P(B) · P(D/B) + P(C) · P(D/C) =

= 0.40 · 0.03 + 0.35 · 0.04 + 0.25 · 0.05 = 0.0385

Debemos calcular P(B/D). Por el teorema de Bayes,

P(B/D)= P(B) x P(D/B)   /  P(A) x P(D/A) + P(B) x P(D/B) +P(C) x P(D/C)  

          =        0.35 · 0.04 /     0.40 · 0.03 + 0.35 · 0.04 + 0.25 · 0.05

Calculamos P(A/D) y P(C/D), comparándolas con el valor de P(B/D) ya calculado. Aplicando el teorema de Bayes, obtenemos:

0.012

0.0385

P(A/D)= 0.311

0.014

0.0385

P(B(D)=0.363

0.0125

0.0385

P(C/D)=0.324

 La máquina con mayor probabilidad de haber producido la pieza defectuosa es A

Can yall pls help with this

Answers

Answer:

x=7

Step-by-step explanation:

Quadrilateral ABCD is a kite with an area of 14 cm?. The length
of ED is 5 cm. What is the length of BE?
B
E
2 cm
С
2 cm
5 cm
(not drawn to scale)
D
A
7 cm
B
2 cm
С
4 cm
D 3 cm

Answers

b e 2 cm because of the area you are doing it

Dave found the blueprint of his house. It shows the hallway is 4 inches long. If the scale factor is 1 inch: 1.25 feet, then what is the length of the hallway in real life?

Answers

Answer:

5 feet

Step-by-step explanation:

The scale factor = 1 inch: 1.25 feet

The length of the Hally = 4 inches

The length of the hallway in real life is calculated as:

1 inch = 1.25 feet

4 inches = x feet

Cross Multiply

x feet = 4 × 1.25 feet

x feet = 5 feet

Therefore, the length of the Hallway in real life is 5 feet

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