what is the length of a circle that has a central angle of 98 degrees and 6 cm rounded to the nearest 100th. using 3.14

Answers

Answer 1

Arc length = 2[tex] \pi [/tex]r * Θ/360 = [tex] \pi [/tex]d * Θ/360
so...
If we take pi to be 3.14,
Arc length = 2(3.14)(6) * 98/360
= 37.68 * 98/360 = 10.26 cm

Related Questions

20 POINTS PLUS BRAINLIEST!!!

Which function is represented in the table of values?

x 0 -1 -2 -3
y 2 4 8 16

A.
y=2^x
B.
y=2(1/2)
C.
y=-2^x
D.
y=(1/2)^x

Answers

The correct answer is D.
y = (1/2)^x

y = (1/2)^-1 = 2
y = (1/2)^-2 = 4
y = (1/2)^-3 = 8

Hope it helped!

what is the least common multiple of X and Y? X=2*2*2*2 Y=2*2*2*3

Answers

[tex]\text{lcm}(x,y)=2^4\cdot3=48[/tex]

The least common multiple is the product of the highest occurring primes of the numbers prime factorizations, in this case:

2*2*2*2*3=48

What is the following product?

Answers

The answer is: " 7 " .
_______________________________________________________
Explanation:
_______________________________________________________
Note that: ⁴√7 = 7^(1/4) .

As such: " (⁴√7) * (⁴√7) * (⁴√7) * (⁴√7) " = (⁴√7)⁴ = [ 7^(1/4) ] ^ (4) ;

→ [ 7^(1/4) ] ^ (4) = 7^ [ (1/4) * (4)] = 7¹ = 7 .
_______________________________________________________
The answer is: " 7 " .
_______________________________________________________

Hey there !

Check the attachment.
Hope it helps you :)

if <6 = <10 and <5 = <7, which describes all the lines that must be parallel?

Answers

second: Only lines t and u must be parallel

Please help !
(cos Θ − cos Θ)^2 + (cos Θ + cos Θ)^2

Answers

The answer is: " 4 cos² Θ " .
_____________________________________________
Explanation:
_____________________________________________
(cos Θ − cos Θ)² + (cos Θ + cos Θ)²

   =   0² + (cos Θ + cos Θ)² ;

   = 0 + (2 cos Θ)² = (2 cos Θ)(2 cos Θ) ;

   = 4 (cos Θ)² = 4 cos² Θ .
_____________________________

Answer: The required simplified form is [tex]4\cos^2\theta.[/tex]

Step-by-step explanation: We are given to simplify the following trigonometric expression :

[tex]T=(\cos \theta-\cos\theta)^2+(\cos \theta+\cos \theta)^2.[/tex]

To simplify, first we need to evaluate the terms within the brackets.

The simplification is as follows :

[tex]T\\\\=(\cos \theta-\cos\theta)^2+(\cos \theta+\cos \theta)^2\\\\=0^2+(2\cos\theta)^2\\\\=0+4\cos^2\theta\\\\=4\cos^2\theta.[/tex]

Thus, the required simplified form is [tex]4\cos^2\theta.[/tex]

Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°. Approximately how tall is the tree?

Answers

This is the concept of trigonometry, the height of the tree will be given by:
tan theta=[opposite]/[adjacent]
theta=80
height=h
adjacent=5 m
hence;
tan80=h/5
hence;
h=5tan80
h=28.36 m

Factor the following.

Answers

This trinomial is also a perfect square trinomial so it can be solved using perfect squares.

(x-10)^2

Answer: B

Hope this helps :)
Please give brainliest

x² - 20x + 100

Once again, I'll just go through all of the answer choices :)

a) (x - 5)(x - 4)

Simplify.

x² - 4x - 5x + 20

Add like terms.

x² - 9x + 20

So, A is incorrect.

b) (x - 10)(x - 10)

Simplify.

x² - 10x - 10x + 100

Add like terms.

x² - 20x + 100

So, B is correct.

c) (x + 10)²

(x + 10)(x + 10)

Simplify.

x² + 10x + 10x + 100

Add like terms.

x² + 20x + 100

So, C is incorrect.

d) (x + 10)(x - 10)

Simplify.

x² - 10x + 10x - 100

Add like terms.

x² - 100

So, D is incorrect.

Therefore, B is correct.

~Hope I helped!~

Tobius is going to climb a ladder to reach and fix a piece of siding located 30 feet above the ground on the building. If he places the ladder at a 60° angle with the ground, about how long is the ladder?

Answers

Check the picture.

Let BC represent the wall, AC the ladder and AB the distance of the feet of the ladder to the wall.

ABC form a right triangle, with m(B)=90°, m(A)=60° and m(C)=30°.

AB is the side opposite the angle 30°, so the length of AB is half of the length of the hypotenuse AC.

Thus, let |AC|=2x, and |AB|=x.

By the Pythagorean theorem:

[tex] (2x)^{2}= x^{2} +30^{2} [/tex]

[tex] 4x^{2}= x^{2} +30^{2} [/tex]

[tex] 3x^{2}=30^{2}=900 [/tex]

[tex] x^{2}=300 [/tex]

thus [tex]x= 10\sqrt{3} [/tex]

the length of the ladder is [tex]2x= 20\sqrt{3}=34.64 [/tex] feet

Answer: [tex]20\sqrt{3}=34.64 [/tex] feet

The height of the ladder will be;

⇒ 20√3 feet

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Tobius is going to climb a ladder to reach and fix a piece of siding located 30 feet above the ground on the building.

And, He places the ladder at a 60° angle with the ground.

Now,

Let the height of the ladder = h

So, We can formulate;

⇒ sin 60° = 30/h

⇒ √3/2 = 30/h

⇒ h = 30 × 2/√3

⇒ h = 20√3

Thus, The height of the ladder = 20√3 feet

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ3

Determine whether the sequence converges or diverges. If it converges, give the limit.

11, 44, 176, 704, ...

Answers

The term to term rule is multiplying by 4 and if we continue doing this, we will move towards very large positive numbers.

This sequence, therefore, diverges to infinity

Rewrite the rational exponent as a radical.

5 to the 3 over 4 power, to the 2 over 3 power

A.the cube root of 5 squared
B. the twelfth root of 5
C. the square root of 5
D.the cube root of 5 the fourth power

Answers

[tex]\left( 5^{ \frac{3}{4} } \right)^{ \frac{2}{3} }=5^{ \frac{3}{4} *\frac{2}{3} }=5^{ \frac{1}{2} }= \sqrt{5} [/tex]

C. the square root of 5

The scale of a map is 1 1/4 inches = 100 miles. On that map, 2 cities are 4 1/8 inches short. What is the actual distance between the cities?

Answers

need to divide 4 1/8 by 1 1/4

4 1/8 = 33/8

1 1/4 = 5/4

33/8 / 5/4 = 33/8 * 4/5 = 132/40 reduces to 33/10 = 3 3/10

100* 3 3/10 = 330 miles

Final answer:

Using the map scale of 1 1/4 inches equals 100 miles, and the measured map distance of 4 1/8 inches, the actual distance between the two cities is calculated to be 330 miles.

Explanation:

To find the actual distance between two cities on a map, we can set up a proportion based on the scale of the map. In this case, the scale is 1 1/4 inches = 100 miles. The measured distance on the map between the two cities is 4 1/8 inches.

We'll convert these measurements to an easier-to-calculate form by changing the mixed numbers to improper fractions.

First, we convert 1 1/4 inches to an improper fraction: 1 1/4 = 5/4 inches. Likewise, we convert 4 1/8 inches to an improper fraction: 4 1/8 = 33/8 inches. Now we set up the proportion using the scale.

(5/4 inches) / (100 miles) = (33/8 inches) / (x miles)

To solve for x, cross-multiply and divide:

(5/4) * x = (33/8) * 100
x = (33/8 * 100) / (5/4)
x = (33 * 100 * 4) / (8 * 5)
x = (33 * 4) / (2)
x = 66 miles

Therefore, the actual distance between the two cities is 330 miles.

Someone please help me out!

Answers

try it with a couple different numbers

try 4: 1^2 +2^2 +3^2 +4^2 = 1 +4 +9 +16 =30

formula: 4(4+1)(2*4+1)/6 = 4*5*9 = 180/6=30

this one works

now try 5

1^2 + 2^2+3^2+4^2+5^2 = 55

formula: 5(5+1)(2*5+1)/6 = 5*6*11 = 330/6=55

I tried a larger number ( 14) as well and it worked

so you can say that this is true

Help!!!!! Identify KPN

Answers

m<KPN = 1/2(90+50) = 140/2=70

answer D. 70 (last choice)

Answer:

it is 70

Step-by-step explanation:

I guessed and got it right, lol

The question is "Find the number of elements in the following sets"
I sort of get it but it docks me points every time I get it wrong so I don't want to risk it

Answers

I hope this helps you

U=66+17+53+82=218

A' = 53+82=135

A'∩B=53

(A∩B)'=66+53+82=201

(A∪B)'=82

A' ∩ B' = 82

If the perimeter of the adult pinball machine is 172 inches, what is the length, in inches of ? Type the numeric answer only in the box below.

Answers

If you have ever seen a pinball machine, you would know that it is shaped like a rectangular box. Since a rectangle has two sets of equal parallel lines, then you would have to know the length and the width. Its perimeter is equal to the total length of all sides. Thus, the equation is 2L + 2W = 172 inches. However, since there is no other data other than the perimeter, I can't give a definite numerical answer. The only answer I could give is in variables. Thus, the length of the pinball machine is

2L = 172 - 2W
L = 86 - W

The lengths of three sides of a quadrilateral are shown below: Side 1: 1y2 + 3y − 6 Side 2: 4y − 7 + 2y2 Side 3: 3y2 − 8 + 5y The perimeter of the quadrilateral is 8y3 − 2y2 + 4y − 26. Part A: What is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points) Part B: What is the length of the fourth side of the quadrilateral? (4 points) Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer.

Answers

A. y^2 + 3y - 6 + 4y - 7 + 2y^2 + 3y^2 - 8 + 5y = 6y^2 + 12y - 21 <==

B. 8y^3 - 2y^2 + 4y - 26 - (6y^2 + 12y - 21) =
8y^3 - 2y^2 + 4y - 26 - 6y^2 - 12y + 21 =
8y^3 - 8y^2 - 8y + - 5 <==

C. (part A) this is closed under addition
(part B) this is closed under subtraction
Polynomials will be closed under an operation if the operation produces another polynomial

Answer:

Part A: 12y^2+9y-21

Part B: 4y^2+6y^2+7y-5

Part C: A set of numbers is closed, or has closure, under a given operation if the result of the operation on any two numbers in the set is also in the set. For example, the set of real numbers is closed under addition, because adding any two real numbers results in another real number. Likewise, the real numbers are closed under subtraction, multiplication and division (by a nonzero real number), because performing these operations on two real numbers always yields another real number. Polynomials are closed under the same operations as integers.

Step-by-step explanation:

Hope this helps!!

If 3a2 – 5ab – 2b2 is factored, one of the factors might be:

Answers

We want to factor 3a² - 5ab - 2b².

Note that
(3a)*(-2b) + a*b = -6ab + ab = -5ab
(3a)*a = 3a²
b*(-2b) = -2b²

Therefore
3a² - 5ab - 2b² = (3a + b)(a - 2b)

The factors are (3a + b) and (a - 2b).

Answer:
One of the factors is (3a + b).
Another factor is (a - 2b).

Find two consecutive positive integers such that thw sqaure of the first decreased by 25 equa;s three times the second

Answers

consecutive integers are 1 apart

so

square of the first decreased by 25 equals 3 time the 2nd
the 2 integers are x and x+1

x²-25=3(x+1)
distribute
x²-25=3x+3
minus (3x+3) from both sides
x²-3x-28=0
factor
what 2 numbers muliply to get -28 and add to get -3
-7 and 4
(x-7)(x+4)=0

set to zero

x-7=0
x=7

x+4=0
x=-4
false, we want positive integers

x=7
x+1=8

the inegers are 7 and 8

Celia is staring at the clock waiting for school to end so that she can go to track practice. She notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. Part 1: How many radians does the minute hand move from 1:25 to 1:50? (Hint: Find the number of degrees per minute first.) Part 2: How far does the tip of the minute hand travel during that time?

Answers

there are 60 minutes marks on a clock

360/60 = 6

6 degree between every minute

From 1:25 to 1:50 there are 25 minutes

25 x 6 = for a total of 150 degrees

150*pi/180 = 5pi/6 radians. ( 2.61799 radians)

Total distance the tip of minute hand has traveled in this time = 2pi*(4 in) * (5pi/6)/(2pi) = 10pi/3 inches (10.47 inches)

I don't know the answer can someone pls help me

Answers

line QP =

11.5*(11.5 +24) = 11.5 * 35.5 = 408.25

SqRT(408.25) = 20.205

round answer to 20 units

The formula for your situation is this:
[tex] n^{2} =PN(PN+MN)[/tex]
where your PQ is [tex] n^{2} [/tex]
So our formula, filled in and solving for PQ is this:
[tex] n^{2}=11.5(11.5+24) [/tex]
and [tex] n^{2} =11.5(35.5)[/tex]
and n = 20.2 or 20 rounded. That's the last choice above

Factor each expression 1)4a^2-16ab^3+8ab^2c 2) n^2+8n+15 3) g^2-9g+20 4) z^2-7z-30 5) 4y^3-36y

Answers

Hello,

1)
[tex]4a^2-16ab^3+8ab^2c=4a(a-4b^3+2b^2c)[/tex]

2)
[tex]n^2+8n+15\\ =n^2+5n+3n+15\\ =n(n+5)+3(n+5)\\ =(n+5)(n+3) [/tex]

3)
[tex]g^2-9g+20\\ =g^2-5g-4g+20\\ =g(g-5)-4(g-5)\\ =(g-5)(g-4) [/tex]

4)
[tex]z^2-7z-30\\ =z^2-10z+3z-30\\ =z(z-10)+3(z-10)\\ =(z-10)(z+3) [/tex]

5)
[tex]4y^3-36y\\ =4y(y^2-9)\\ =4y(y-3)(y+3) [/tex]

for which of the following numbers does 5 appear in the tens place ?
*check all that applies*
a. 125.634
b. 56.89
c. 1250
d. 3.5
e. 92.57

Answers

5 appear in the tens place

answer:
b. 56.89
c. 1250

The answers are b and c. It's talking about the "tens" place, not the "tenths" place, so neither d or e are correct.

how to solve 46.2 x 10 with a negative 2 exponent

Answers

The answer is 0.462 because you have to move the decimal point 2 spaces to the left
hope this helps:)

46.2 x 10^-2 = 46.2 / 10^2 = 46.2 / 100 = 0.462

determine the value of x in the diagram where lines a and b are parallel

25°
15°
75°
55°

Answers

If lines a and b are parallel, the two angles given would be the same.
2x - 5 = x + 20
x = 25

P(A)=25,P(B|A)=920,P(A∩B)=?

Answers

Final answer:

We use the product rule in probability to find P(A∩B) = P(B|A) * P(A). Substituting given values, P(A∩B) = (9/20) * 25, which equals 11.25.

Explanation:

The subject area of this question is probability, a topic within mathematics. Here, we are asked to find the intersection of Events A and B given the probabilities of A and the conditional probability of B given A. The rule of product in probability states that P(A∩B) = P(B|A) * P(A).

Let's calculate: P(B|A) is given as 9/20 while P(A) is 25. Thus,

P(A∩B) = P(B|A) * P(A) = (9/20) * 25 = 11.25

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ12

Points A and B lie on a circle centered at point O. If OA = 5 and length of ABowncircumference=14, what is the area of sector AOB? Use the value π = 3.14, and choose the closest answer.

Answers

This question can simply be answered directly. To solve this, we should recall that the formula of a circle is:

Area of circle = π r^2 where r is the radius of the circle

Now we are given that segment OA is equivalent to 5 units. Segment OA is also the diameter of that circle therefore d = 5.

Now let us convert the formula knowing that radius is one half the diameter:

r = d / 2

Area of circle = π (d / 2)^2

Area of circle = π d^2 / 4

Substituting:

Area of circle = π (5)^2 / 4

Area of circle = 3.14 * 25 / 4

Area of circle = 19.625 = 19.6 square units

Answer:

The answer would be 19.6 for plato Users

Step-by-step explanation:

A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a half later an "Express" train leaves the station and travels at an average rate of 56 mph on a parallel track. How many hours after the Express train starts will the it overtake the Local?

Answers

recall your d = rt, distance = rate * time.

so...Local say "L" is going at a speed of 35mph...ok... and Express or "X" is going at 56mph.

by the time the two trains meet, and X is ready to overtake L, the distance that both have travelled, since is a parallel road, is the same, say "d". So if L has travelled "d" miles, then X had travelled "d" miles too, over the same road, maybe different lane.

now, because X left 1 1/2 hour later, by the time they meet, say X has been running for "t" hours, but because it left 1 1/2 hour later, L has been running for " t + 1 1/2 " hours, or " t + 3/2 " hours.

[tex]\bf \begin{array}{lccclll} &distance&rate&time\\ &-----&-----&-----\\ Local&d&35&t+\frac{3}{2}\\ Express&d&56&t \end{array} \\\\\\ \begin{cases} \boxed{d}=35\left( t+\frac{3}{2} \right)\\ d=56t\\ ----------\\ \boxed{35\left( t+\frac{3}{2} \right)}=56t \end{cases} \\\\\\ 35t+\cfrac{105}{2}=56t\implies \cfrac{105}{2}=21t\implies \cfrac{105}{42}=t \\\\\\ \cfrac{5}{2}=t\implies 2\frac{1}{2}=t[/tex]

so, they met 2 and a half hours later after X left, and a milllisecond later X overtook L.

Answer:

2.5 hrs.

Hope this helps <3

How to subtract a negative fraction from a positive fraction?

Answers

Let's take an example to illustrate this case:

positive fraction = 2/7

negative fraction = - 3/5

Now we need to subtract - 3/5 from 2/7

Right?

2/7 - (-3/5) = 2/7 + 3/5

here we need to unify the denominators as follows:

the lowest common factor between 7 and 5 is 35
2/7 = 10/35
3/5 = 21/35

Now back to 2/7 + 3/5:

2/7 + 3/5 = 10/35 + 21/35 = (10+21)/35 = 31/35

That's it

Hope that helps you

PLZ HEEEEEEEELPPPPPPPP!!!!!!!!!

Answers

y= ∛(-x) - 3
for x = -8 → y = ∛-(-8) - 3 ↔ y = 2-3 ↔y = -1
for x= 8 → y= ∛(-8) - 3 ↔ y = -2 -3 ↔ y = -5
Then - 5≤ y≤ - 1
hence the range of y is {y|-5≤y≤-1}

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1.

Answers

check the picture below.

so, the left-part of the picture is the focus point and the directrix... .so.. notice, the focus is above the directrix, meaning is a vertical parabola and is opening upwards.

now, looking at the right-part of the picture, bear in mind that, the vertex is "p" units away from the directrix and the focus, so, the vertex is half-way between those fellows, notice in the picture what "p" is, keep in mind that, because the parabola is opening upwards, "p" is a positive unit, thus is 3.

[tex]\bf \textit{parabola vertex form with focus point distance}\\\\ \begin{array}{llll} (y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\ \boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}}) }\\ \end{array} \qquad \begin{array}{llll} vertex\ ({{ h}},{{ k}})\\\\ {{ p}}=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \begin{cases} h=-5\\ k=2\\ p=3 \end{cases}\implies [x-(-5)]^2=4(3)(y-2) \\\\\\ (x+5)^2=12(y-2)\implies \cfrac{(x+5)^2}{12}=y-2\implies \cfrac{(x+5)^2}{12}+2=y \\\\\\ \cfrac{1}{12}(x+5)^2+2=y[/tex]

Answer: D

Step-by-step explanation: took the test

Other Questions

The majority of the reforms advocated by the Populist Party were a)forgotten as the party declined.B)opposed by the Progressive party.C)undesirable in a democratic country.D)incorporated into laws by either the state or federal government. John works with patients who are emotionally and mentally disabled. he helps them regain their physical, mental, or emotional stability. sometimes he teaches painting, weaving, or other crafts. he is a(n) _____. You dislike being hurried in your work?Agree or Disagree Help pleasee i am beggin The following set of coordinates represents which figure? (7, 10), (4, 7), (6, 5), (9, 8) Parallelogram Rectangle Rhombus Square Changes in our Gross Domestic Product can be most directly attributed to _____. (Select all that apply.) securities owned by employees of certain companies through stock purchase plans more restrictive insurance regulations ready credit for middle class mortgages steady growth of manufacturing jobs What is the area of triangle PQR? Fill in the blank in the following sentence with the appropriate possessive pronoun below.Juan y Pedro tienen un gato. _______ gato es gordo. A.Tu B.Sus C.Su D.Tus Which of the following is not a way that energy producing technologies can impact aquatic viability? a. waste products entering waterways b. disruption of water flow c. increased sedimentation d. filtration of pollutants Two exterior angles of a triangle equal 100 and 150. Find all the interior angles A building has an entry the shape of a parabolic arch 96 ft high and 18 ft wide at the base, as shown below. Find an equation for the parabola if the vertex is put at the origin of the coordinate system Write x2 - 12x + 8 = 0 in vertex form. ________ is having a variety of investments in your portfolio, such as different types of companies in different industries. (a) find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t) = 8t i + sin t j + cos 2t k, v(0) = i, r(0) = j How did the actions of Union generals Grant and Sherman affect the outcome of the Civil War? A cyclist rides her bike at a speed of 10 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 2 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers. spending time with a homosexual person will cause you to identify as homosexual?True or False? If 7.84 107 J of energy is released from a fusion reaction, what amount of mass in kilograms would be lost? Recall that c = 3 108 m/s.7.06 10248.71 10-48.71 10-7 8.71 1010 the system of equations graphed below has how many solutions? Which of the following sentences uses proper punctuation? She asked what time it was, and the machine said, "The time is six thirty-two." She asked "What time it was," and the machine said, "The time is six thirty-two." She asked "What time it was", and the machine said, "The time is six thirty-two". Steam Workshop Downloader