un angulo θ mide 750° y es coterminal con

Answers

Answer 1

Answer:

El ángulo de 750º es coterminal con los ángulos de 29.88º y 389.88º.

Step-by-step explanation:

Antes de comenzar este enunciado, cabe recordar que dos ángulos en posición estándar son coterminales cuando tiene un lado terminal común, además que el sistema sexagesimal tiene un período de 360º, entonces todo ángulo satisface la siguiente condición:

[tex]\theta = 360\cdot x[/tex], [tex]\forall \,x \in \mathbb{R}[/tex].

Si sabemos que [tex]\theta = 750^{\circ}[/tex], el múltiplo [tex]x[/tex], que indica el número de revoluciones dadas es:

[tex]x =\frac{\theta}{360}[/tex]

[tex]x = \frac{750^{\circ}}{360^{\circ}}[/tex]

[tex]x = 2.083[/tex]

El número de ángulos coterminales equivale al número entero de revoluciones. Y la posición coterminal más pequeña queda determinada por el residuo, que es igual a la diferencia entre el total de revoluciones (2.083) y el número de revoluciones enteras. (2) En este caso, existen dos angulos coterminales cuyas magnitudes determinamos a continuación:

[tex]\theta_{1} = (0 + 0.083)\cdot (360^{\circ})[/tex]

[tex]\theta_{1} = 29.88^{\circ}[/tex]

[tex]\theta_{2} = (1 + 0.083)\cdot (360^{\circ})[/tex]

[tex]\theta_{2} = 389.88^{\circ}[/tex]

El ángulo de 750º es coterminal con los ángulos de 29.88º y 389.88º.


Related Questions

Can anyone answer this for me and explain? I’ll give a thanks.

Answers

Answer:

  86°

Step-by-step explanation:

If you draw a line segment AC, it forms the rest of right triangle ACB with the right angle at C. Then angle BAC is the complement of the given angle:

  ∠BAC = 90° -47° = 43°

The inscribed angle BAC intercepts arc BC, so the arc measure will be double the angle measure.

  arc BC = 2·43° = 86°

__

Another way to get there is to realize that arc BCA is 180°, because AB is a diameter. As above, arc AC will be double the measure of inscribed angle ABC, so arc AC has measure 94°.

  arc BC = arc ACB - arc AC

  arc BC = 180° -94°

  arc BC = 86°

A person is walking 3 feet per second. How fast is this in yards per hour?
PLEASE HELP!

Answers

Answer:

1 yard per hour

Step-by-step explanation:

3 feet=1 yard

Solve a = 2x + 6xz for X

Answers

Answer:

See Below.

Step-by-step explanation:

We are given the equation:

[tex]a=2x+6xz[/tex]

And we want to solve for x.

On the right-hand side, we can factor:

[tex]a=x(2+6z)[/tex]

And divide both sides by the factored expression. Hence:

[tex]\displaystyle x=\frac{a}{6z + 2}[/tex]

And we're done!

Answer:

x=a/2(1+3z)

Step-by-step explanation:

Janice works part-time in a pizza restaurant. She makes a monthly salary of $240. She spends 3/5 of her salary on gas for her car. How much does Janice have left at the end of the month for her other expenses

Answers

Answer: 144

Step by step: In order to solve this easily, you should convert 3/5 into a decimal. In order to do that, you have to divide the numerator by the denominator. 3 divided by 5 = 0.6. Then you multiply 240 by 0.6 to get your answer, 144.

A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the ground. If the angle of depression from the person on the building is 30°, how far are the two people away from one another? Round your answer to the nearest foot. ​

Answers

Answer:

520 feet

Step-by-step explanation:

The easiest way to visualize this problem is to sketch a quick diagram.

For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.

Hope this helps!

A sailor entered a race and made a round trip of 213.709 miles. What is 213.709 rounded to the nearest hundredth?

Which of the following statements explains how you should find 213.709?

A. Since the digit in the hundredths place is less than five, keep the digit in the hundredths place. Then drop the digits on the right.

B. Since the digit in the hundredths place is less than five, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.

C. Since the digit in the thousandths place is greater than or equal to five, increase the digit in the hundredths place by one. Then drop the digit in the thousandths place.

D. Since the digit the hundredths place is less than five, leave the digit in the hundredths place and drop all the numbers on the right. ​

Answers

Answer:

C

Step-by-step explanation:

There was this saying they told me for rounding things. 5 or more, let it soar. 4 or less, let it rest. 9 is greater than or equal to 5, meaning that the digit in the hundredths place will increase by one.

There are 360 7the grade students at eisenhower middle school. One fourth of the students went to clermonth elementary. Of the rest half went to central elementary and the others came from other schools. How many students came from central elementary?

Answers

Answer:

Step-by-step explanation:

1/4x + 1/2x + 1/4x = 360

4(2/4x + 1/2x = 360)

2x + 2x = 1440

4x = 1440

x = 360

1/4(360)= 90 Clermonth

1/2(360)=  180 Central

1/4(360)= 90 other schools

3. Which point is coplanar with E, F, and H in the diagram below?

Answers

Answer: G

Step-by-step explanation: Points are coplanar if they lie on the same plane.

So, G would be a coplanar point with E, F, and H.

Answer:

G

Step-by-step explanation:

i just took the test and got it right! (:

x-(-6)=4

please help me SASP

Answers

Hey there! I think the answer is x=(-2)

Answer:

-2

Step-by-step explanation:

Solve -x/4 < 7

A. x < -28

B. x < 28

C. x > -28

D. x > 28

Answers

Answer: [tex]x>-28[/tex]

Simplify both sides of the inequality

[tex]1/4x<7[/tex]

Multiply both sides by 4/-1

[tex](4/-1)*(-1/4x)<(4/-1)*(7)\\x<-28[/tex]

f(x)=40+4x+x^2 (e) What is the slope of the chord connecting the points (5, f (5)) and (5 + ∆x, f (5 + ∆x)), when ∆x = 5? Really confused on how to do this and what it means

Answers

Answer:

19

Step-by-step explanation:

So we have the function:

[tex]f(x)=40+4x+x^2[/tex]

And we want to find the slope of the chord that connects the points (5,f(5)) and (5+Δx, f(5+Δx)).

So first, find the two points.

1) (5,f(5))

Substitute in 5 for x:

[tex]f(x)=40+4x+x^2\\f(5)=40+4(5)+(5)^2[/tex]

Square and multiply:

[tex]f(5)=40+20+25[/tex]

Add:

[tex]f(5)=85[/tex]

So, our first point is (5,85)

2) (5+Δx, f(5+Δx))

Remove the Δx by substituting it with 5. Thus:

[tex](5+\Delta x,f(5+\Delta x))=(5+5,f(5+5))=(10,f(10))[/tex]

Now, substitute in 10 for x. Thus:

[tex]f(10)=40+4(10)+(10)^2[/tex]

Square and multiply:

[tex]f(10)=40+40+100[/tex]

Add:

[tex]f(10)=180[/tex]

So our second point is (10,180).

Now, just find the slope between (5,85) and (10,180) using the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (5,85) be x₁ and y₁ and let (10,180) be x₂ and y₂. Substitute:

[tex]m=\frac{180-85}{10-5}[/tex]

Subtract:

[tex]m=\frac{95}{5}[/tex]

Divide:

[tex]m=19[/tex]

So, the slope that connects the chord is 19.

And we are done :)

2x+2=-59 I need help I don’t know the answer

Answers

Answer:

x= -30.5

Step-by-step explanation:

In order to solve equations like this, we need to have all the x terms on one side, and all the other terms on the other side. For this equation so far, the x term (2x) is not alone (there is a +2) so we need to move the +2 to the other side to have x by itself. Whatever you do to one side of equation, you must also do to the other side to keep the equation equal. Therefore we can subtract 2 from both sides which moves the two to the other side while keeping the equation equal. In order to move a term to the other side, we must do the operation opposite to what the term has. E.g. +2 is adding 2, so to move it to the other side, we need to subtract 2.

2x +2 -2 = -59 -2

Which cancels out the 2 on the left side and gives us:

2x = -59-2

2x = -61

Then we just need to remove the 2.

In this case, this 2 is being multiplied to the x, so to move it, we will need to divide both sides by 2.

2x/2 = -61/2

which finally gives us:

x = -30.5

Hope this helped!

What is the rate of 3.5 hours:$10

Answers

Answer:

$2.85 per hour

Step-by-step explanation:

Answer:

I think the answer is 35 or are trying to find how much is in and hour

Will records the wins and losses for his high school basketball team each year. He notices that the ratio of wins to
losses has been consistent each year.
Wins
18
45
36
27
Losses
2.
5
4
Х
Using the information in the table, how many losses should he predict for next year if the number of games won is 27?
1
3

Answers

They should come across 3 losses

Answer:

3

Step-by-step explanation:

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$41 thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$115 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answers

Answer:N/B The amount is in thousands

The total amount earned by a Bachelor's person be $x:

amount earned by a masters person will be $(2x-38)

Total amount earned by the two individuals will be:

x+(2x-38)=115

solving for x we get:

x+2x-38=115

3x=115+38

3x=153

x=153/3

x=51

also:

2x-38=2*51-38=64

therefore we conclude that master's individual earns average of $ 64,000 while the Bachelor's individual earns $51,000.

Step-by-step explanation:plzzzzz give brainleyest

Area of triangle=42, the width is x+3 and the length is 2x+8, find the value of x

Answers

Step-by-step explanation:

Area of triangle = 1/2 × the width × the length

42 = 1/2(x+3)(2x+8)

42 = 1/2×2×(x+3)(x+4)

42 = (x+3)(x+4)

(x+3)(x+4) = 42

x² + 7x + 12 = 42

x² + 7x + 12 - 42 = 0

x² + 7x - 30 = 0

(x-3)(x+10) = 0

x = 3, -10

x can't be -10 because the width and the length should be only + values

x = 3

The value of x found by using the area of triangle concept is 3

What is the Area of a Triangle?
The entire area filled by a triangle's three sides on a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 b × h, where b and h are the product of the triangle's base and height. All triangle shapes, including scalene, isosceles, and equilateral triangles, may be calculated using this formula. It is important to keep in mind that a triangle's base and height are perpendicular to one another.

In the question, It is given that:

Area of triangle = 42.

Width of the triangle = x+3

Length of the triangle = 2x+8;

And, we know that:

Area of triangle = [tex]\frac{1}{2}[/tex]×[tex]lw[/tex]

⇒[tex]42[/tex] = [tex]\frac{1}{2}[/tex]×[tex](x+3)(2x+8)[/tex]

⇒42 = (x+3)(x+4)

⇒(x+3)(x+4) = 42

⇒x² + 7x + 12 = 42

⇒x² + 7x + 12 - 42 = 0

⇒x² + 7x - 30 = 0

⇒(x-3)(x+10) = 0

⇒x = 3, -10

x can't be -10 because the width and the length should be only + values

⇒x = 3

Hence, The value of x is 3.

To learn more about the area of the triangle visit the given link:

https://brainly.com/question/17335144

#SPJ2

The perimeter of a rectangle is 36 feet. If the length is 13, find the width

Answers

Answer: 5 feet

Step-by-step explanation: To find the width of the rectangle,

start with the formula for the perimeter, shown below.

Perimeter = 2l + 2w

Since we know the perimeter is 36 and the

length is 13, we have 36 = 2(13) + 2w.

Simplifying on the right, we have 36 = 26 + 2w.

Not subtract 26 from both sides to get 10 = 2w.

Now divide both sides by 2 and 5 = w.

So the with is 5 feet.

Your answer is 5 because you have to divide

36 / 13 = ?


36 / 13 = 5

help me with b whats the answer i think f=4

Answers

Answer:

f(-2)= 0

Step-by-step explanation:

Please see attached picture for full solution.

3/4 and 1/6 find the least common denominator

Answers

The most logical one to me me would be 2 but idk

Answer: 12  is the least common denominator

Step-by-step explanation:

The least common denominator is the greatest multiple that the two denominators share.

So find the multiples of 4 and 6.

LCM of 4.  is 4 ,8 ,12,16,20,24, 28,32,

LCM of 6 is 6,12,18,24,30,36, 42,48  

The first multiple that they share is 12

how to estimate 72,931+18,563

Answers

Answer:

Your answer is 91, 494

Step-by-step explanation:

I will tell how is your answer is 91,494

72,931

+18,563

=91,494

Just add the question then you have your answer

Let u = 2i + j, v = i + j, and w = i - j. Find scalars a and b such that u= av + bw.

Answers

Answer:

1/2 and 3/2

Step-by-step explanation:

Given the expression u= av + bw where u = 2i + j, v = i + j, and w = i - j, to find the scalars a and b, we will first substitute the vectors into the expression given as shown;

u= av + bw

2i + j = a( i + j)+b(i-j)

open the parenthesis

2i + j = ai+aj+bi-bj

collect like terms at the right hand side of the equation

2i + j = ai+bi+aj-bj

2i + j = (a+b)i+(a-b)j

compare the coefficient of complex value i and j on both sides

a+b = 2 ............... 1

a-b = 1................. 2

solve the resulting equation simultaneously using elimination method

Subtract both equation from each other.

(a-a) +(b-(-b))= 2-1

0+2b = 1

b = 1/2

Substitue b = 1/2 into equation 2 to get a

From equation 2, a = 1+b

a = 1 + 1/2

b = 3/2

Hence the scalars a and b are 1/2 and 3/2 respectively

[tex]a=\frac{3}{2},b=\frac{1}{2}[/tex]

A complex number is of the form [tex]\boldsymbol{a+ib}[/tex] where [tex]a,b[/tex] are real numbers.

[tex]u=2i+j[/tex]

[tex]v=i+j[/tex]

[tex]w=i-j[/tex]

[tex]u=av+bw[/tex]

So,

[tex]2i+j=a(i+j)+b(i-j)[/tex]

[tex]2i+j=(a+b)i+(a-b)j[/tex]

Therefore,

[tex]2=a+b\\1=a-b[/tex]

Add these equations.

[tex]3=2a\\\frac{3}{2}=a[/tex]

So,

[tex]1=\frac{3}{2}-b\\\\b=\frac{3}{2}-1\\[/tex]

  [tex]=\frac{1}{2}[/tex]

For more information:

https://brainly.com/question/19013932?referrer=searchResults

All of the following are equivalent, except
3x
2x^2
x(2 + 1)
2x + x

Answers

Answer:

2x^2 is not equivalent

Step-by-step explanation:

3x = 3x

2x^2 = 2x^2

X(2+1) = 3x

2x + x = 3x

the odd one out is 2x^2

Find the sum 32 +33 +34 + 35 + ... + 112 + 113.

Answers

Answer:

5945

Step-by-step explanation:

The sum for an arithmetic series is given by the formula:

[tex]S=(x_1+x_k)\cdot\frac{k}{2}[/tex]

Where x₁ is the initial term, x_k is the last term, and k is the number of elements in the series.

From the sequence, we can see that the first term is 32. The last term is 113.

To determine how many elements we have, subtract 113 and 32:

[tex]113-32=81[/tex]

However, we must add 1 to this number since this doesn't include the first term. Thus:

[tex]81+1=82[/tex]

So, there are 82 terms in total.

Therefore, our sum is:

[tex]S=(32+113)\cdot\frac{82}{2}[/tex]

[tex]S=(145)\cdot 41=5945[/tex]

Answer:

5945

Step-by-step explanation:

an = a1 + ( n - 1) 1

a1 = first term

n = number of terms

an = last term

113 = 32 + ( n - 1 ) 1

113 = 32 + n -1

113 = 31 + n

n = 113 - 31

n = 82.

Sn = n/2(a1 + an)

S82 = 82/2 (32 + 113)

S82 = 41 (145)

S82 = 5945.

Please hurry i cant wait for too long ;-;.

Answers

Answer:

the answer is 1/6.......

Answer: 1/6

Explanation:

-1/3 - (-1/2)
= -1/3 + 1/2
= -2/6 + 3/6
= 1/6

16 squared with explanation.

Answers

Answer:

256

Step-by-step explanation:

Multiply 16 by 16.

You bet 256, right?

The answer is 256 now.

Hope it helps!

Formula: multiply number you have x number you have.

Noah drew 22 hearts and 76 circles. What is the ratio of circle to all shapes

Answers

Answer:3 to 10

Step-by-step explanation:

The spinner below shows 10 equally sized slices. Rachel spun the dial 500 times and got the following results.

Answers

Answer:

most likely got 50 of each slice since they were the same size

Step-by-step explanation:

500/10=50

Answer:

50

Step-by-step explanation:

Find out the unknown length. Please i really need help on this one really bad...

Answers

Answer:

6

Step-by-step explanation:

using similar triangles

x/(x+8) =15/35

x/(x+8) =3/7

cross multiply the two sides which will give u

3(x+8) =x*7

3x +24 =7x

24=7x-3x

24=4x

using 4 to divide both sides

24/4=4x/4

6=x

x=6

PlusExplain no solution 3(xplus4)equals 3(x-5)

Answers

Answer 7

Step-by-step explanation

do theis prdcjkfbiubnvckdnsgjibjkdsvhbrhvbbghbvhvbhbgfndjsnjdnsndj

Suppose that Cand D are points on the number line. If CD=11 and D lies at 6, where could C be located?separate them with commas.

what

help​

Answers

Answer:

Step-by-step explanation:

There can only be 2 location which is to the right and to the left, this is because it means the difference between is 17. Add them together. So the two answers are…

17

and

-17

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