angle measure represented by 4.5 rotations counterclockwise

Answers

Answer 1

keeping in mind that, angles are measured counter-clockwise, namely in the opposite direction of a clock, if you have a clock, notice the seconds hand how it moves, well, counter to that is going backwards, but that's how angles are regularly measured.

now, a full rotation, namely a "revolution", is a full go-around the circle, that'd be 360°, now if you 4 times around, that be 4*360 or 1440°, and if you go an extra 0.5 or half a circle, that'd be 180°, that will land us on 1440° + 180°.

Related Questions

Which best describes the relationship between the successive terms in the sequence shown?

9, –1, –11, –21, …

a)The common difference is –10.
b)The common difference is 10.
c)The common ratio is –9.
d)The common ratio is 9.

I believe i understand it but have to ask it would be the common difference is -10 bevause you would take -1-9 and get -10?,

Answers

You almost got it. Be careful with how the question is worded. A "common difference" between these sequential numbers already indicates subtraction. So you have to answer with what number is being subtracted from each number in order to equal the next. 9 - 10 is -1. Next, -1 - 10 is -11. Thus, the common difference between successive terms here is 10. Next, the difference between -11 and -21 is 10. You could continue the sequence: -21 - 10 = -31 and so on.

∠ RQS and ∠ TQS are a linear pair where m∠ RQS = 2x + 4 and m∠ TQS = 6x + 20
1. Solve for x.
2. Find m∠ RQS and m∠ TQS
3. Show how you can check your answer
I want help to understand how to solve the problem because I have others to solve also.,

Answers

Since the given angles are a linear pair, that means that they add up to 180 degrees (straight line). So we know that:
m∠ RQS + m∠ TQS = 180

Now let's answer the questions.
1. Solve for x
m∠ RQS + m∠ TQS = 180
2x + 4 + 6x + 20 = 180
2x + 6x + 4 + 20 = 180
(2 + 6)x + 24 = 180
8x + 24 = 180
8x = 156
x = 19.5

2. Find m∠ RQS and m∠ TQS
m∠ RQS = 2x + 4
m∠ RQS = 2*19.5 + 4
m∠ RQS = 39 + 4
m∠ RQS = 43

m∠ TQS = 6x + 20
m∠ TQS = 6*19.5 + 20
m∠ TQS = 117 + 20
m∠ TQS = 137

3. Show how you can check your answer.Verify that they do add up to 180.
So 43 + 137 = 180
This demonstrates that they do make up a linear pair.

Answer:

∠RQSangle r q s and ∠TQSangle t q s are supplementary angles, so the sum of the angles should equal 180.

Step-by-step explanation:

Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many times did Jenny save $250 for the month? A) 3 B) 4 C) 5

Answers

Hello,

Here is your answer:

The proper answer to the question is option A "3".

Here is how:

There is only two options 250 and 350 and there is 12 months which means there can only be three for both.

Your answer is A.

If you need anymore help feel free to ask me!

Hope this helps!

Answer:

the answer is actually 4

Step-by-step explanation:

The highest point in Africa is Mount Kilimanjaro in Tanzania, with an altitude of 5895 meters above sea level. The lowest point on the continent is Lake Assal in Djibouti. It is 155 meters below sea level. FInd the difference between the altitudes.

Answers

Answer: The difference is 6,050 feet.

To find the difference between the two values, you just have to subtract them.

Our problem is: 5895 - (-155)

To do this, we change it to 5895 + 155 = 6050
We change it because we are subtract a negative number and subtracting a negative number is the same thing as adding it.

Answer:

6050 meters

Step-by-step explanation:

The difference between the altitudes will be the distance from the highest point of kilimanjaroto the lowest point on lake assai.

This distance will be the distance from the highest point of kilimanjaro to the sea level (5895m) plus the distance from the sea level to the lowest point on lake assai (155m, this distances wont be negative because it is taken as a distance from a point of reference not as a value below 0). Like this:

[tex]5895m+155m=6050m[/tex]

brainliest for best answer

Answers

Answer:

Step-by-step explanation:

________

Good evening ,

_______________

-4x+3y=-12

-2x+3y=-18

This system is the same as

y = (4/3)x - 4

y = (2/3)x - 6

We note that the two coefficients 4/3 and 2/3 are positives

So the right answer is C (graph 2).

___

Factor completely x^2 − 36.

(x + 6)(x − 6)
(x + 6)(x + 6)
(x − 6)(x − 6)
Prime

Answers

Hello there!

[tex](First \ step) \\ \\ Factoring: (x2-36) \\ \\ \boxed{ A^2 - B^2 \ can \ be \ factored \ into \ (A+B) * (A-B)} \\ \\\ \left[\begin{array}{ccc}Proof : (A+B) * (A-B) = \\ A2 - AB + BA - B2 = \\ A2 - AB + AB - B2 = \\ A2 - B2\end{array}\right] \\ \\ \\ Factorization is : (x + 6) * (x - 6) \\ \\ \boxed{FINAL \ ANSWER} \\ \\ \boxed{\boxed{ (x + 6) * (x - 6)}}[/tex]

Your correct answer would be (option a) the first option.

I hope this helps you!

Estimate 92.49 - 63.854 by first rounding each number to the nearest whole number.

Answers

92.49 -63.854 ≈ 92 -64 = 28

____
Actual difference is 28.636.

Patrick compared the slope of the function g(x) = -2x - 8 to the slope of the linear function shown in the table below. Let m = the slope of g(x) and n = the slope of h(x).

Which statement is true? Choose all that apply.

A. m < n

B. m > n

C. m = n

D. both slopes have the same sign.

E. both slopes have different signs.

Answers

Both slopes have the same sign

In a given amount of time , Nijah drove twice as far as Jared. Altogether they drove 135 miles. Find the number of miles driven by Nijah

Answers

2x + x = 135
3x = 135
x = 135 /3
x = 45

Nijah = 2*45 = 90 miles

Which of the following sets of whole numbers represents all the even three-digit numbers with a 6 in the hundreds place and 3 in the tens place? 361; 363; 365; 367; 369 630; 632; 634; 636; 638 360; 633; 635; 637; 639

Answers

The whole numbers in the list you provided which are even and have a 6 in the hundreds place and 3 in the tens place are:
630, 632, 634, 636, and 638 :)

A segment can have more than one bisector.
True
False

Answers

Can a Segment have more than one bisector. Yes A segment can have more than one bisector. For every line segment, there is one perpendicular bisector that passes through the midpoint. There are infinitely many bisectors, but only one perpendicular bisector for any segment.

Can someone please explain how to find this answer? thanks

Answers

I would start with the standard form equation of the parallel line.
.. 5x -2y = 5(-2) -2(3) = -16
Then solve for y.
.. 2y = 5x +16 . . . add 2y+16; then divide by 2 for the next equation
.. y = (5/2)x +8 . . . . . . . corresponds to selection (B)

so, a line that is parallel to 5x-2y = -12, will have the same exact slope as that equation's, so what is it anyway?

[tex]\bf 5x-2y=-12\implies 5x+12=2y\implies \cfrac{5x+12}{2}=y \\\\\\ \cfrac{5x}{2}+\cfrac{12}{2}=y\implies \stackrel{slope}{\cfrac{5}{2}}x+6=y[/tex]

so, notice, from the slope-intercept form, it happens that the slope is 5/2, well, the line will have the same slope.

so we're looking for the equation of a line whose slope is 5/2 and runs through -2,3

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ &&(~ -2 &,& 3~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{5}{2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-3=\cfrac{5}{2}[x-(-2)] \\\\\\ y-3=\cfrac{5}{2}(x+2)\implies y-3=\cfrac{5}{2}x+5\implies y=\cfrac{5}{2}x+8[/tex]

Determine whether the statement is always, sometimes, or never true. Complete the explanation. In parallelogram MNPQ, the diagonals MP and NQ meet at R with MR = 7 cm and RP = 5 cm. ; diagonals of a parallelogram each other.

Answers

This is never true. In a parallelogram, the diagonals will always bisect each other. Thus, each of these segments would always have to be equal.

Final answer:

In a parallelogram, the diagonals bisect each other, meaning that they divide each other into two equal parts. Therefore, the statement is always true.

Explanation:

The statement is always true. In a parallelogram, the diagonals bisect each other, meaning that they divide each other into two equal parts. Therefore, if MR = 7 cm and RP = 5 cm, then NR = 7 cm and RQ = 5 cm. The diagonals MP and NQ meet at point R, so we have MR = NR and RP = RQ, confirming that the statement is always true.

Learn more about Parallelogram diagonals here:

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The function f(x) is defined as follows:
f(x)= 3x+1 if x is less than or equal to 0
2x^2 if 0 4 if c is greater than or equal to 2
determine the following values of the function
f(-3)= __
f(2)= ___

Answers

We have a function [tex]f(x)[/tex] defined by two rules: if [tex]x \leq 0[/tex], [tex]f(x)=3x+1[/tex], and if [tex]x \geq 2[/tex], [tex]f(x)=2 x^{2} [/tex]. Notice that when you are evaluating a function at a number, you are basically saying that [tex]x[/tex] is equal to that number. So, when you say [tex]f(-3)[/tex], you are saying that [tex]x-3[/tex]. Since [tex]-3 \leq 0[/tex], we are going to use our first rule to evaluate our function at -3:
[tex]f(x)=3x+1[/tex]
[tex]f(-3)=3(-3)+1[/tex]
[tex]f(-3)=-9+1[/tex]
[tex]f(-3)=-8[/tex]

Similarly, when you are evaluating the function at 2, you are saying that [tex]x=2[/tex]. Since [tex]2 \geq 2[/tex], we are going to use our second rule to evaluate our function:
[tex]f(x)=2 x^{2} [/tex]
[tex]f(2)=2(2^{2} )[/tex]
[tex]f(2)=2(4)[/tex]
[tex]f(2)=8[/tex]

We can conclude that [tex]f(-3)=-8[/tex] and [tex]f(2)=8[/tex].

Final answer:

To determine the values of the function f(x) at specific points, we need to look at the different cases given in the definition of f(x).

Explanation:

To determine the values of the function f(x) at specific points, we need to look at the different cases given in the definition of f(x).

If x is less than or equal to 0, then f(x) = 3x + 1. So, f(-3) = 3(-3) + 1 = -8.If x is greater than 0 and less than 2, then f(x) = 2x^2. So, f(2) = 2(2^2) = 8.If x is greater than or equal to 2, then f(x) = 4. So, f(2) = 4.

Therefore, f(-3) = -8 and f(2) = 4.

Learn more about Determining values of a function here:

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if point P lies on segment AB with endpoints at A(-5,11) and B(1,5) such that AP:PB = 1:1 then p must have coordinates of?

Answers

That means P is the midpoint:

[tex]P=\left(\frac{x_1+x_2}{2}\;,\; \frac{y_1+y_2}{2} \right) \\ \\ P=\left(\frac{-5+1}{2}\;,\; \frac{11+5}{2} \right)=\left(\frac{-4}{2}\;,\; \frac{16}{2} \right) \\ \\ P=(-2\;,\;8)[/tex]

If the ratio is 1:1 then the point must be a mid-point. Then the coordinate of the mid-point P is (–2, 8).

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of line, etc.

If point P lies on segment AB with endpoints at A(-5,11) and B(1,5) such that AP:PB = 1:1.

We know that if the ratio is 1:1 then the point must be a mid-point.

Let the coordinate of point P be (x, y)

Then we have

[tex]\rm (x,y) = ( \dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})\\\\(x,y) = (\dfrac{-5+1}{2}, \dfrac{11+5}{2})\\\\(x,y) = (\dfrac{-4}{2} , \dfrac{16}{2})\\\\(x,y) =(-2, 8)[/tex]

The coordinate of the mid-point P is (–2, 8).

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Out of all those people, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on on Saturday?

Answers

Divide the number of people selected by the total number of people.

90/500 = .18

This means that 18% of the customers were selected for the survey.

If the probability is the same on Saturday, then we can multiply the expected customers by our .18

700 x .18 = 126

126 should be selected for the survey on Saturday.

Find the GCF of the monomials 118a^2 and 121b^2.

Answers

Factor both monomials
118a^2 = 2 * 59 * a * a
121b^2 = 11 * 11 * b * b

The greatest common factor is 1. Nothing else is common

the equation Y= -16t2 + 120 can be used to represent the fruit's height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round your answer to the neares hundreth.

Answers

y = -16t^2 + 120

Let y = 0

Solve for t.

0 = -16t^2 + 120

-120 = -16t^2

-120/-16 = t^2

7.5 = t^2

sqrt{7.5} = sqrt{t^2}

2.7386127875 = t

We now round to the nearest hundredths, which means to 2 decimal places.

Answer: t = 2.74 seconds

What’s is the value of the digit 5 in the number 57,634?
5,000
1,000
50,000
10,000

Answers

This would be known to be the (tenth) thousands.

(5)7,,634= The 5 would equal the ten thousands because first, once the number would have it's (first) comma, this would be in the thousands. And also, this number has (2) numbers in it's thousands, and not just 1. But if it were to have 3, this would be another story, and from this, it would clearly explain to be your (option (b)).

2.
How can you tell when a quadratic equation has two identical, rational solutions? (1 point)

when the radicand is negative
when b in the quadratic formula is greater than the radicand
when the radicand equals zero
when the radicand is not a perfect square,

Answers

The general formula for the solutions of a quadratic equation
ax² + bx + c = 0

are given by:

x₁₂ = [- b +- √(b²-4ac) ] / 2a

You have three cases:

1) the radicand is positive: you then have two dinstinct soutions, one with the root added to (-b) and then divided by 2a, and the other one with the root subtracted to (-b) and then divided by 2a.

2) the radicand is negative: you then have no solutions, because the root can't be performed. This case means that the given polynomial is never equal to zero.

3) the radicand is equal to zero: you then have the same value for both the solutions, which is -b/(2a).

Therefore your answer should be: C) when the radicand is equals to zero.

1. Vertex (1,2), Point (2,-5)

2. Vertex (-3,6), Point (1,-2)

3. Vertex (0,5), Point (1,-2)

4. Vertex (1/4, -3/2), Point (1.3)

Answers

he difficulty of graphing a quadratic function varies depending on the form you find it in. We'll start things off relatively easily.

f(x) = a(x – h)2 + k

No, we're not lying to you; that is a quadratic function. Go ahead, multiply it out.

f(x) = ax2 + (-2ah)x + (ah2 + k)

The h and k are constants, so (-2ah) and (ah2 + k) are also constants, which we could call, say, b and c. See, you can trust us, it's totally quadratic.

When you have a parabola written out like f(x) = a(x – h)2 + k, it's in vertex form. With vertex form, you have several pieces of important information thrown at you right away. When you first meet someone, your first impression tends to stick with you. It's the same with this equation.

The sign of a tells you if the parabola opens up or down. If a is positive, it opens up. If a is being a Negative Nancy, the parabola opens down. You also know that the vertex of the parabola is at the point (h, k). Be careful with the sign of h, though.

You have decided to buy a new car, but you are concerned about the value of the car depreciating over time. You do some research on the model you are looking at and obtain the following information:

Suggested retail price - $18,790

Depreciation per year - $1385 (It is assumed that this value is constant.)

The following table represents the value of the car after n years of ownership.

Answers

The answer should be set up like so:

3125 = 3200*(d)^3
3125/3200 = d^3
3-root (3125/3200) = d
d = 0.992125657...

1 - d = 0.007874...
Therefore it depreciates at about 0.8% monthly

To find the depreciation 6 months from now, or 9 months from the beginning:
v = 3200 (d)^9
= 2980.232239...

So after 9 months the car would be about $2980.23

Answer: D on edge

Step-by-step explanation:

Which of the following polynomials corresponds to the product of the multivariate polynomials 4x - 3y + 5 and x + 2y - -3?

Answers

Final answer:

The product of the multivariate polynomials 4x - 3y + 5 and x + 2y - -3 is 4x^2 + 5x + 5xy - 16y^2 + 19y - 27.

Explanation:

The product of two multivariate polynomials can be found by multiplying each term in the first polynomial by each term in the second polynomial and then combining like terms. In this case, we have:

(4x - 3y + 5)(x + 2y - -3) = 4x(x + 2y - -3) - 3y(x + 2y - -3) + 5(x + 2y - -3)

Using the distributive property, we can simplify this to:

4x^2 + 8xy - 12x - 3xy - 6y^2 + 9y + 5x + 10y - -15

Combining like terms:

4x^2 + 5x + 5xy - 16y^2 + 19y - 27

Jovan bought a bond with a face value of 15,000 and a coupon rate of 8.5%. The bond will mature in 15 years. How much interest will he receive semiannually

Answers

Answer
19,125

Explanation
The value of bond has an interest of 8.5% annually. Monthly it will be 8.5/2%=4.25%
The initial value of bond is 15,000.
The formula for calculating the interest is;
Interest=PRT
Where p is the money deposited, R is the interest rate and T is the period.
Since the interest semiannually for 15 years, the interest period is (15×2) = 30.

Interest=15,000×0.045×30
=19,125.

The points (15, 10), (25, 20), (30, 22), (40, 32), (55, 53), (60, 55) represent the time, x, it takes 6 people to travel y miles. The scatterplot below represents the situation.

(Graph Below)

A. 32 miles
B. 42 miles
C. 48 miles
D. 54 miles

Answers

Answer:IT IS B

Step-by-step explanation:

I GOT A 100 ON MY TEST YOUR WELCOME :D

Six times a number decreased by 10 is eight

Answers

If you're looking for an expression then it will be:

6n - 10 = 8

6x - 10 = 8
Six times a number decreased by 10 is 8

Your equation is
6x - 10 = 8

Now solve for x
6x - 10 = 8

Add 10 to each side
6x - 10 + 10 = 8 + 10
6x = 18

Divide each side by 6
6x ÷ 6 = 18 ÷ 6
x = 3

Is (a-3) a factor of (a^3-6a^2+29)?

Answers

If (a - 3) is a factor then (a -3) will be 0 when a = 3. If you put a = 3 into the given cubic, you should get 0. Doing that, does not give 0.

f(3) = 8 - 6*9 + 29
f(3) = 8 - 54 + 29
f(3) = - 17

As further "proof", here is the graph. Notice that the graph cuts the x axis around -2 , 2.5 and 4.2 (These are rough guesses). The factors are
(a+2)(a - 2.5)(a - 4.2)

helppppppppppppppppppppppp

Answers

(-5, 12). Cosecant is the reciprocal of sine. Since csc theta =13/12, sin theta=12/13. We can narrow down to two angles, one in first quadrant and one in second quadrant. We are also given sec theta=-13/5, so cos theta=-5/13. Thus the angle is in the second quadrant. tan theta=1/cot theta=-12/5, so point (-5, 12) is on the ray.

Sophie did an anyonymous survey and collected her friends' credit scores. the scores she found are listed in the table below. what is the mean credit score in this group? (round to the nearest whole point, if applicable.) 682 601 744 674 701 790 676 638 773
a. 698
b. 695
c. 676
d. 701

Answers

To find the mean of the data, you will combine all values together and then spread them all out evenly to create one value that represents the data.

In math this involves adding the data together and then dividing the sum by how many pieces of data there are.

682 + 601 + 744 + 674 + 701 + 790 + 676 + 638 + 773 = 6279

6279/9 = 697.66...

The rounded credit score is 698 (Choice A).

Using the mean concept, it is found that the mean credit score in this group is given by:

a. 698

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, there are 9 observations, which are:

682 601 744 674 701 790 676 638 773

Hence, the mean is given by:

[tex]M = \frac{682 + 601 + 744 + 674 + 701 + 790 + 676 + 638 + 773}{9} = 698[/tex]

Hence option a is correct.

More can be learned about the mean concept at https://brainly.com/question/25639778

Find the greatest common factor : 25p^2q^3, 15p^2q^2 and 35pq^4

Answers

Answer:

The greatest common factor is [tex]5pq^2[/tex].

Step-by-step explanation:

The given expressions are [tex]25p^2q^3[/tex], [tex]15p^2q^2[/tex] and [tex]35pq^4[/tex].

Greatest common factor of two numbers is the greatest number that divides both numbers completely.

Find factors of each expression.

[tex]25p^2q^3=5\times 5\times p\times p\times q\times q\times q[/tex]

[tex]15p^2q^2=3\times 5\times p\times p\times q\times q[/tex]

[tex]35pq^4=5\times 7\times p\times q\times q\times q\times q[/tex]

The common factors are 5,p,q and q. So, the greatest common factor of given expressions is

[tex]G.C.F.=5\times p\times q\times q[/tex]

[tex]G.C.F.=5pq^2[/tex]

Therefore the greatest common factor is [tex]5pq^2[/tex].

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( 1point ) A. young childrenb. teensc. adultsd. all ages i need to know what x in the angle measures Solve the system of equations y=3x+30 y=8x_______________________x= ??y= ?? the garden of my class Which is the correct way to rewrite this phrase? my classes garden my classs garden my class garden my classes garden 26 POINTS WILL GIVE BRAINLIEST2.Do the sides 16, 30, and 38 form a Pythagorean Triple? Explain why or why not.3. A triangle has sides of length 10, 14, and 22. Is the triangle acute, right, or obtuse. Explain.12. A person can see the top of a building at an angle of 42. The person is standing 30 ft away from the building and has an eye level of 6 ft. How tall is the building to the nearest tenth of a foot? Look at the figure. Which step should be taken next to construct a line parallel to ?A. Without changing the compass setting from the previous step, place the compass on point P. Draw an arc similar to the one already drawn.B. Place the compass on point C. Open the compass to point D. Draw a small arc through point D.C. Place the compass on point A. Open the compass to point P. Move the compass to point P and draw an arc intersecting .D. Without changing the compass setting from the previous step, place the compass on point B. Draw an arc similar to the one already drawn. Why does an enzyme function as a catalyst in a reaction? A. It maintains the proper temperature needed for the reaction. B. It decreases the amount of energy needed for the reaction. C. It creates the right pH needed for the reaction. D. It provides the extra energy needed for the reaction. Which structure maintains homeostasis by controlling the concentration of solutes within a cell? cytoplasm ribosome plasma membrane nucleus@BPDlkeme234, The diameter was of four half circles are sides of a square with a side length of 7 cm.Find the exact area of the shaded region in terms of pi. (Please show work) And I shall have some peace there, for peace comes dropping slow,Dropping from the veils of the morning to where the cricket sings;There midnights all a glimmer, and noon a purple glow,And evening full of the linnets wings.In The Lake Isle of Innisfree by William Butler Yeats, how does life at Innisfree contrast with the speakers current life?A. Innisfree is more chaotic and fast-paced.B. Innisfree is busier but more joyful.C. Innisfree is more complex and less simple.D. Innisfree is more calm and peaceful. how was the manufacturing industry in texas affected by geographic location? Why did many Americans feel Sacco and Vanzetti where properly convicted for murder in 1921? Since the immigrants Sacco and Vanzetti were anarchists, they must be guilty. Too much evidence was found in Sacco and Vanzetti's apartment confirming their guilt. People felt Sacco and Vanzetti were guilty, as they were members of the Communist party. The attorney general went on the radio and convinced Americans of Sacco and Vanzetti's guilt. Given 2 points (3,6) and (-2,5) explain or show how to calculate the slope explain in words Twenty-four students took a test. Fourteen students earned an A and 10 students earned a B. A student will be randomly chosen. What is the probability that the student earned an A on the last test? Enter your answer as a fraction, in simplest form, in the box.