The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81 degrees. What is the approximate length of the radius of the circle?
A 5.19 units
B 3.51 units
C 11.03 units
D 10.38 units

Answers

Answer 1

Answer:

A.  5.19 units

Step-by-step explanation:

[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}[/tex]

Given:

[tex]\theta[/tex] = 81°Arc length = 7.34 units

Substituting given values into the equation and solving for r:

[tex]\implies 7.34=2 \pi r\left(\dfrac{81^{\circ}}{360^{\circ}}\right)[/tex]

[tex]\implies 7.34=r\left(\dfrac{18 \pi}{40}\right)[/tex]

[tex]\implies 7.34 \cdot 40=18 \pi r[/tex]

[tex]\implies 293.6=18 \pi r[/tex]

[tex]\implies r=\dfrac{293.6}{18 \pi}[/tex]

[tex]\implies r=5.19 \sf \: units \:(2\:dp)[/tex]

Answer 2

Answer:

A) 5.19 units

Step-by-step explanation:

Formula for arc length :

arc length = 2πr × θ/360°7.34 = 2 x 22/7 x r x 81/3607.34 = 44/7 x 9/40 x r7.34 = 396/280 x rr = 7.34/396 x 280r = 280 x 0.0185353535r = 5.19 units (approximately)

Related Questions

help me find the slope of the roof plss​

Answers

Answer:

The slope of the roof is 2ft / 6ft = 1ft / 3ft

Step-by-step explanation:

slope = rise / run

rise is the increasing height = 2ft

run is the length = 6ft

slope = 2ft / 6ft this can be simplified to 1ft / 3ft

Members of a baseball team raised $1592.50 to go to a tournament. They rented a bus for $844.50 and budgeted $68 per player for meals. Determine the number of players the team can bring to the tournament.

Answers

Answer: Assume p to be the number of players, then, the equation which describes this problem is,

844.50+ 68 p = 1592.50844.50+68p=1592.50

68 p = 74868p=748

p = 11p=11.

The number of players, the team can bring to the tournament are 11.

Step-by-step explanation:

Answer: They can bring 11 players to the tournament.

Step-by-step explanation:

$1592.50 - $844.50= $748

Divide $748 by $68, then you will get 11. And 11 will be the answer.

Can someone help please!!

Answers

90•
30 is next to 90, 90 goes reflection is 90

What is the volume of this figure?

Enter your answer in the box.

Answers

Answer:

Pls list the figure-

Step-by-step explanation:

If you dont list it we cant help you if its a cube just multiply the sides

The diameter of the center circle on a soccer field is 20 yards. What is the area of the circle?

Answers

Answer: pie × r² = 314

Step-by-step explanation:

3.14 ×10 × 10 where r is diameter/2

which functions have a maximum and are transformed to the left and down of the parent function, f(x)=x²? check all that apply

p(x)=14(x+7)²+1

q(x)=-5(x+10)²-1

s(x)=-(x-1)²+0.5

g(x)=2x²+10x-35

t(x)=-2x²-4x-3

Answers

Answer:

q(x) and  t(x)

Step-by-step explanation:

p(x) has no maximum (bc it's an upward parabola) and is shifted up from the parent equation

q(x) has a maximum (downward parabola) and is shifted left and down from the parent equation

s(x) has a maximum (downward parabola), but is shifted right and up of the parent equation

g(x) has no maximum (upward parabola) but is shifted left and down

t(x)has a maximum (downward parabola) and is shifted left and down from the parent equation

See the attached image for details :) hope this helps!

Which relation is also a function?
A. ((10, 5), (5, 10), (15, 5), (20, 25),
(25, 15))
B. ((10, 5), (5, 10), (15, 10), (20, 25),
(20, 15))
C. x 5 10 20 10 25
y 10 5
15 15 20
5
2
D.
3
7
B

Answers

Answer:

A

Step-by-step explanation:

A because the vertical line test passes if you graph all the points.

I need help please answer

Answers

Answer:

It will be in quadrant one if it flips across the x-axis becuase the x-axis will take it toward the right which is the quadrant 1

Step-by-step explanation: hope this helps

Answer:

Quadrant III

Step-by-step explanation:

When you reflect across the X-axis, you flip it over the horizontal line. The Quadrants are numbered like this :       2  1

                                                                3  4

So it will be in Quadrant III

Divide. 58)48,894

please help​

Answers

Hi~!

Answer:

843

Step-by-step explanation:

We know that 58 is a even number, and so is 48,894. So we can  check this by multiplying 843, which is th number I got when I divided it, and multiply that by 58, then we get 48,894.

I hope this helps!~ :)

Answer:

843

Step-by-step explanation:

In long division, first take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor, then divide it by the divisor and write the answer on top as the quotient. After, subtract the result from the digit and write the difference below. Bring down the next digit of the dividend (if present). Lastly, repeat the same process.

    00,843
58)48,894
   - 464 ↓↓
----------------
        249 ↓
      - 232 ↓
----------------

           174
         - 174
-----------------
              0

From this, we can see that 58 goes into 48,894 843 times. In other words, 48,894 ÷ 58 is 843.

hope this helps!

In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1400 grams and mass was decreasing by 8% per day. Determine the mass of the radioactive sample at the beginning of the 17th day of the experiment. Round to the nearest tenth (if necessary).

Answers

Answer:  339.3 grams

Work Shown:

y = 1400(1-0.08)^x

y = 1400(1-0.08)^17

y = 339.25097192703

y = 339.3

Giving Brainyest to the person with the correct answer

Answers

Answer:

C. 6.475 is the answer

SOMEONE HELP I DON'T UNDERSTAND :(


4) Solve for x and find the measure of angle zxy

Answers

Answer:

Angle zxy = 55 degrees, x = 12

Step-by-step explanation:

Since the angle WXY is labeled as a right angle from the square in the angle, and angle WXZ is 35 degrees, we know that angle ZXY must be 55 degrees, because 55+35 = 90. Then to solve for x, we use the measure of angle ZXY to construct the equation 4x+7 = 55. subtract 7 from both sides to get 4x = 48, then divide both sides by 4 to arrive at the answer of x = 12.

help me solve this problem please

Answers

B & E

hope this helps :D

if tan of theta =3/4 what is sec of theta​

Answers

Answer:

5/4

Step-by-step explanation:

Given :

tanθ = 3/4 = opposite/adjacent

Finding the missing side :

The hypotenuse must be found√3² + 4²√255

Taking the sec ratio :

secθ = hypotenuse/oppositesecθ = 5/4

I need help please asap ! Quick answer

Answers

Answer:

I think that is the fist one.

The volumes of two similar solids are 210 m3 and 1,680 m3. The surface area of the larger solid is 856 m2. What is the surface area of the smaller solid? 107 m2 214 m2 1034 m2 6848 m2.

Answers

The surface area of the smaller solid according to the task content is; 107m²

What is the surface area of the smaller solid?

It follows from task content that the two solids are similar. On this note, the same formula applies for calculating their areas and volume.

Since, surface area is directly proportional to the volume in both shapes;

The surface area of the smaller solid is;

A = (210 × 856)/1680

A = 107m².

Read more on surface area and Volume;

https://brainly.com/question/16670494

#SPJ1

Answer:

A

Step-by-step explanation:

Please help! 25 points

Answers

Answer:

C.

Step-by-step explanation:

Find the surface area of a square pyramid or it’s side length 5m and. Slant height 4m

Answers

Answer:

h = height s = slant height a = side length P = perimeter of base e = lateral edge length r = a/2 V = volume L = lateral surface area B = base surface area A = total surface area

A  = 72.17 m2

Step-by-step explanation:

hope this helped!

Write the coordinate pair (x,y) for each of the following

Answers

A. (3,5) B. (-4,-3) C. (-4,4) D. (5,-3) E. (6,7) F. (-8,-8) G. (-2,7) H. (-2,-4) I. (3,-9) J. (1,0)

Multiply and show the steps on how to solve this

(2-3x) (3+8x)

Answers

Answer:

-24x² + 7x + 6

Step-by-step explanation:

(2 - 3x)(3 + 8x)6 - 9x + 16x - 24x²-24x² + 7x + 6

Answer:

-24x²+7x+6

Step-by-step explanation:

Rearrange terms

Rearrange terms

(2-3x)(3+8x)

(-3x+2)(3+ 8x)

(-3x+2)(3+ 8x)

(-3x + 2)(8x + 3)

3

Distribute

(-3x+2)(8x + 3)

-3x(8x + 3) + 2(8x + 3)

4

Distribute

-3x(8x + 3) + 2(8x + 3)

-24x2-9x + 2(8x + 3)

Distribute

-24x² - 9x + 2(8x + 3)

-24x² - 9x + 16x + 6

6

Combine like terms

-24x²-9x + 16x + 6

-24x²+7x+6

Solution

-24x²+7x+6

plsss help and explain how to do it because im confused​

Answers

I think this is asking what power when the first number given is raised to it will equal the number within the parentheses. So, for example, the answer to the first question would be 5 because 2^5 = 32. 10^3 = 1000, so the answer is 3, and so on.

A particular type of bacteria splits into 2 every 30 minutes. There are 8 bacteria in the petree dish when you start your shift of looking after the culture. Write an exponential function B(t) where t is the time periods elapsed and B is the number of bacteria.

Answers

Answer: B(t) = 8(2^t)

Convert the fraction below into a decimal using
long division. Round any repeating decimals to
the thousandths.
13/15

Answers

Answer:

0.86666666666667

Step-by-step explanation:

What we have to do is do 13 divided by 15 which equals 0.86666666666667.

can you please factorise 10fz-25z

Answers

Answer:

5z(2f - 5)

Step-by-step explanation:

What is the greatest common factor of 10 and -25? Both can be evenly divided by 5. Thus, divide both numbers by 5 and place the 5 outside of the parentheses.

(10fz - 25z)  ----->  5(2fz - 5z)

Next, do the two terms share any variables? Both are multiplied by "z". Thus, you can divide each term by "z" and place it outside of the parentheses.

5(2fz - 5z)  ----->  5z(2f - 5)

The terms no longer share any common factors. Therefore, your final answer is:  5z(2f - 5).

What is square root of pi^2 = ?

Answers

Answer:

Pi

Step-by-step explanation:

The square root and exponent cancel each other out.

If MNPQ is a quadrilateral, what is angle MQP

Answers

Answer:

62°

Step-by-step explanation:

angle M = angle Q

(An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.)

so

Angle Q = 30 + 32

Angle Q = 62°

The diameter of a circle is 14 kilometers. What is the circle's area? d=14 km Use 3.14 for . square kilometers​

Answers

Answer:

153.86

Step-by-step explanation:

The equation for the area of a circle is A = πr^2. The "r", in this sense, is the radius, which is half of the diameter. If the diameter is 14 then the radius is 7. The radius will then be squared to create 49, as 7 multiplied by itself is 49. The number must then be multiplied by π, or in this case, 3.14. This will give you the answer of 153.86.

I need help. I'm desperate. Find the area of the shaded region, round to the nearest tenth. I will give brainliest
the answer is NOT 17.4

Answers

ANSWER

A. (243pi+162) ft^2

EXPLANATION

The area of the shaded region is the sum of the area of the major sector and the area of the isosceles triangle.

Area of major sector

[tex]=\frac{360-90}{360}[/tex] × [tex]\pi[/tex] × [tex]18^2[/tex]

[tex]=243\pi ft^2[/tex]

The area of the isosceles triangle is calculated using the formula;

[tex]=\frac{1}{2}r^2sin(0)[/tex]

[tex]=\frac{1}{2}[/tex] × [tex]18^2[/tex] [tex]sin(90)[/tex]

[tex]=162ft^2[/tex]

The area of the shaded region

[tex]=(243\pi +162)ft^2[/tex]

The correct answer is A.

if there are 95 students in a school and there are 12 classes how many students are in each class

Answers

Answer:

11 classes will have 8 students, 1 class will have 7 students

Step-by-step explanation:

Take the total number of students and divide by the number of classes

95 / 12 =7.916666

Most classes will have 8 students, 1 class will have 7 students

Please help! Also please explain how you got any of the answers!

Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.

Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

(10 points)

Answers

Answer:

hey dude try doing them first then ask people thry are easy also open your book and see the steps there

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