A jogger is going around a circular track with a radius of 100 ft. Determine the
ANGULAR speed of the jogger given that they run a lap every 3 minutes, to the nearest tenth. (recall:theta must be in radians)

Answers

Answer 1

Answer:

ω= 0.01 rad/s

Step-by-step explanation:

The given data is question is ,

r = 100ft .t = 3 min = 180s.

Firstly let's find the linear speed. Which is

=> v = Circumference/time

=> v = 2πr/180s

=> v = 3.14 × 100ft ./ 90

=> v = 3.48 ft/s 1m/s

Now the angular speed and linear speed are related as follows ,

=> v = r[tex]\omega[/tex]

=> [tex]\omega[/tex] = v/r

=> [tex]\omega[/tex] = 1/100

=> [tex]\omega[/tex] = 0.01 rad/s

Hence the angular speed is 0.01 rad/s.

Related Questions

Select the correct answer.
Which expression gives the area of triangle QRS?
s
15
20°
R
9
O A £19)(15)cos(209)
O B. (11)(15)cos(209)
oc. (9)(15)sin(20°)
OD. £(11)(15)sin(209)

Answers

Area of ΔQRS is 1/2×9×15×sin20° which is correct option (C)

What is area of triangle?

Area of triangle is half the product of any two sides and the sine of the included angle.

Area = 1/2.ab.sinC

Area of ΔQRS = 1/2×9×15×sin∅

∵ ∅ = 20°

Area of ΔQRS = 1/2×9×15×sin20°

Hence, area of ΔQRS is 1/2×9×15×sin20°

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Which input value produces the same output value for the two functions on the graph?
у
5
4
3
+ N
f(x) == {x+1
g(x) = 3x-4
-5 4 -3 -2 -14
2
х
g(x)
-3-
-5

Answers

The input value that produces the same output value for the two functions on the graph is; x = 3

Linear Equation Graphs

From the attached graph, we see the two functions represented by;

Blue line which is g(x)

Red line which is f(x)

Now, the input values are all values of x that can be traced to a corresponding value of y on the function lines.

Now, from the graph we see that the to lines meet at the coordinate (3, -1). Thus, the input value that produces the same output value is x = 3.

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Arrange the vehicles in descending order according to the altitudes at which they operate.

Vehicle Altitude (feet)
sailboat 0
submarine -1,500
glider 5,000
airship 3,000
A.
sailboat, submarine, glider, airship
B.
submarine, sailboat, airship, glider
C.
airship, glider, submarine, sailboat
D.
glider, airship, sailboat, submarine

Answers

Answer:

airship, glider, submarine, sailboat

Luigi recorded the temperature in his garden at diffternt times of the same day

[tex]please tell \: the \: answer[/tex]

Answers

Answer:

wdym

Step-by-step explanation:

I don’t understand sorry

Why are there so many bots on here?

Answers

Answer:

Not sure, It's getting kinda annoying ngl

Step-by-step explanation:

The probability of getting a A in mr Atkesons class is 25% what is the probability of not getting a A

Answers

Answer:

75%

Step-by-step explanation:

100% - 25% = 75%

<3 Enjoy,

    Dea

Please help me! What is x and y? Thank you!

Answers

Answer:

x=3. y=6

Step-by-step explanation:

So, to solve x and y, we need to take the equivelent sides of the two triangles, take their equations, and solve them.

So to find what x equals, we can take the 13, and make it equal to the 4x+1:

13=4x+1

Subtract the one from both sides:

12=4x

Divide both sides by 4:

3=x

Or

x=3

So we know the x value is 3.

Now lets solve for y using the bottom equations:

2x+y=8x-2y

Subtract 1y from both sides:

2x=8x-3y

Subtract 8x from both sides:

-6x=-3y

Divide both sides by -6:

x=1/2y

So we already know that x=3, lets plug that in for x, and solve for y:

3=1/2y

Or

1/2y=3

Multiply both sides by 2 to get 1y:

y=6

So we know that y is equal to 6.

Hope this helps!


A square has an area of 49in^2. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45in^2. Find the dimensions of the rectangle Round your answer to the nearest tenth, when appropriate

Answers

The square is 7 by 7.
Then x inches are added to one side and subtracted from the other.
(7-x)*(7+x) = 45
x = 2
--> 5 by 9

The area of a rectangle is given as:

Area = Length x width

The dimensions of the rectangle are 9 inches and 5 inches.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Area of a square = 49 in²

Area of a square = side²

This means the side of the square is 7 inches.

Now,

Let the same amount be x.

The area of the rectangle = 45 in²

The length of the rectangle = 7 + x

The width of the rectangle = 7 - x

The area of the rectangle = Length x Width

45 in² = (7 + x)(7 - x)

45 = 49 - 7x + 7x - x²

45 = 49 - x²

x² = 49 - 45

x² = 4

x = 2

Now,

The dimensions of the rectangle are:

Length = 7 + x = 7 + 2 = 9 inches

Width = 7 - x = 7 - 2 = 5 inches

Thus,

The dimensions of the rectangle are 9 inches and 5 inches.

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Can somebody please help me out please my grads are bad

Answers

Answer:

700mm

Step-by-step explanation:

.7 meters = 70cm = 700mm

Answer:

ASK A RABBIT

Step-by-step explanation:

The identity (x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?

Answers

Answer:

The triple are: 48, 55 and 73

Step-by-step explanation:

Given

[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]

[tex]x = 8; y=3[/tex]

Required

The Pythagorean triple

We have:

[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]

Substitute: [tex]x = 8; y=3[/tex]

[tex](8^2 + 3^2)^2 = (8^2 - 3^2)^2 + (2*8*3)^2[/tex]

[tex](64 + 9)^2 = (64 - 9)^2 + (48)^2[/tex]

[tex](73)^2 = (55)^2 + (48)^2[/tex]

[tex]5329 = 5329[/tex]

Hence, the triple are: 48, 55 and 73

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in
your answer.
00
alyd
yd
yde
yoo
3yd
х
3
?
2yd
4yd
2yd

Answers

All of those smaller ones make up 11 yards
The answer should be 43.5 yds

Timmy estimated he would spend $9 at the candy store. He went a little over-budget and spent $12. What was the percent error?

Answers

Answer :

Error (e) = 12 - 9 = $ 3

assumed value (a) = $ 9

[tex]\boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}[/tex]

[tex]\mathrm{ \% \: error =\dfrac{3}{9} ×100}[/tex]

[tex]\mathrm{ \% \: error = \dfrac{1}{3} ×100}[/tex]

[tex]\mathrm{ \% \: error = 33.33 \%}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

I need help with this question please​

Answers

Answer:

The answer is 4

Step-by-step explanation:

What’s the correct answer??? I will mark as brainlest

Answers

Answer: the answer is 10

Step-by-step explanation:

in desperate need of help please :/

Answers

Answer:

since 13 miles is 68640 i wood say 189 inches long from bumper to bumper. A mile is 5,280 feet (or 63,360 inches).

If 335 of these cars were parked with their bumpers touching, they would be almost exactly a mile long.

If your question refers to traffic jams, the answer will be a bit different, since cars in traffic jams don’t get that close together. I’m going to take a wild guess here, but let’s assume that there is a 4-foot gap between cars in our hypothetical traffic jam.  now put that in to 13 miles

Step-by-step explanation:

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=26°, and DB = 48 feet. Find the length of BC to the nearest tenth of a foot.

The length of BC Is ___ ft.

Answers

Answer:

98.4 feets

Step-by-step explanation:

To obtain BC

we could make use of B as angle, the apply the trigonometric relation :

Tan B =adjacent / hypotenus

Tan B = DB / BC

Tan 26 = 48 / BC

0.4877325 = 48 / BC

BC = 48 / 0.4877325

BC = 98.4 feets

Angle Relationships

When solving for x, the sine of 33° is used. What other angle and trigonometric function could be used to solve for x?

a. cos 57°
b. tan 33°
c. tan 57°
d. cos 33°

Please select the best answer from the choices provided

Answers

Answer:

A. cos 57°

Step-by-step explanation:

I calculated it logically

Answer:

The answer correct A. Cos 57

Step-by-step explanation:

90-33=57

while at a bakery, lester decides to purchase some cupcakes and vrownies to shaee with his friends. He can spend up to $18, and the bakery charges $2 for a cupcake and $1 for a brownie. To ensure thaf he has enough food, Lester wants to buy at least 7 cupcakes and brownies. What system of inequalities describes the situation? x is number of cupcakes and y is brownies​

Answers

Answer:

X=7

Y=4

Step-by-step explanation:

Question 9 of 10
Which best describes how to find the length of an arc in a circle?
A. Divide the arc's degree measure by 360°, then multiply by the
circumference of the circle,
B. Divide the arc's degree measure by 360°, then multiply by the
radius of the circle.
C. Divide the arc's degree measure by 180°, then multiply by the
radius of the circle.
D. Divide the arc's degree measure by 180°, then multiply by the
circumference of the circle.

Answers

To find the length of an arc in a circle we use (a) Divide the arc's degree measure by 360°, then multiply by the circumference of the circle,

Which best describes how to find the length of an arc in a circle?

From the question, we have the following parameters that can be used in our computation:

The length of an arc in a circle

The length of an arc in a circle is calculated as

Length = Angle/360 * Circumference

This is representd by the option (a)

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Gary's stock dropped 3 points in value every day for 4 days. Find the integer that represents the change in value of his stock during that time.

Answers

Answer:

- 12 points

Step-by-step explanation:

He's dropping three points each day for four days, ie 4 * 3 , which is equal to 12.

Is the product 3/5 times 8 greater than or less than 8? Explain.

Answers

Answer:

Less than

Step-by-step explanation:

1x8 - exactly 8

So multiplying something less than 1 x 8 must be less than 8.

3/5<1

Hope this helps!

9) Which of the following shows the Associative Property of Addition
A. (18+41) + 12 = (41 + 18) + 12
B. 18+ 41 = 41 +18
C. 18+ 4) = (10 + 40) + (8 +1)
D. (18+41) + 12 = 18+ [41 +12)
Helpppp

Answers

The answer is D that is (18+41)+12 = 18+(41+12)
because A,B,C can be only be associative when
(A+B)+C= A+(B+C)
So by comparing the associative law with the options above , you will be able to get your answer

The ratio of boys to girls in a
group is 7 : 1. If there are 48 more boys
than girls, work out how many girls
there are

Answers

Answer:

48+x/x=7/1

48+x=7x

6x=48

x=8

no. of girls = 8

no.of boys= 48+8

= 56

The answer is 8

Answer:

8 girls

Step-by-step explanation:

Ratio boys to girls = 7:1

There area 48 more boys than girls

First lets make an equation

7x - 1x = 48

6x = 48

x = 8

There are 8 girls

Check:

7*x : 1*x =

56 : 8

56 - 8 = 48

Correct

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

122333444455555666666777777788888888
what is the patern

Answers

Answer:

each number it being counted that number of times

hope this helps

have a good day :)

Step-by-step explanation:

The amount of times the number is written, is the same as the number itself

Solve the proportion 7/5=21/x

Answers

If you’re asking what x equals, the answer is 15

Plz I need your help

Answers

The mode is 87 degrees.

what is 1+1-(3x3)-(1x9)

Answers

1+1-(3x3)-(1x9)
The answer is -16

twice a number x divided by 4 is 9

Answers

Answer: 18

18 x 2 = 36

36 / 4 = 9

Answer:

2x/4 = 9

x = 18

Step-by-step explanation:

Twice a number x divided by 4 is 9

2x/4 = 9

2x = 36

x = 18

Which of the following notations correctly describe the end behavior of the polynomial graphed below?

Answers

Answer:

Step-by-step explanation:

B. As x approaches negative infinity, f(x) appoaches positive infinity.

    As x approaches positive infinity, f(x) approaches negative infinity.

For the given polynomial the end behaviour are -∞ and ∞. The correct option is (B).

How to find the end behaviour for a polynomial?

A polynomial is defined as the algebraic expression having all the powers to its terms as whole number. In order to find the end behaviour of a polynomial p(x), determine its value for two cases when x approaches to infinity and minus infinity.

From the graph of the polynomial given in the problem it can be observed as,

As the value of x approaches ∞ , f(x) becomes -∞.

And, as the value of x approaches -∞ , f(x) becomes ∞.

Hence, the end behaviour are given as -∞ and ∞.

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Last exam question for the day And im finally off!

No LINKS

Answers

Answer:

A1: a=4

A2: a=12

A3: p=18

Step-by-step explanation:

a= 1/2 4 * 2

= 4

a = 1/2 6 * 4

= 12

to find p add all sides

P= 6 + 6 + 6 = 18

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