A water wheel has a radius measuring between 13 feet and 24 feet. The wheel is able to turn 7π9 radians from its starting position before getting stuck. Which distances could the wheel spin before it would no longer be able move?

Answers

Answer 1

Answer:

31.76 ft and 58.64 ft

Step-by-step explanation:

The radius measures between 13 feet and 24 feet.

The wheel is able to turn 7π/9 radians before getting stuck.

We need to find the range of distances that the wheel could spin before getting stuck. That is, the length of arc.

Length of an arc is given as:

[tex]L = \frac{\theta}{2\pi} * 2\pi r[/tex]

where θ = central angle = 7π/9 radians

r = radius of the circle

Therefore, for 13 feet:

[tex]L = \frac{7\pi}{18 \pi} * 2 * \pi * 13\\\\L = 31.76 ft[/tex]

For 24 feet:

[tex]L = \frac{7\pi}{18 \pi} * 2 * \pi * 24\\\\L = 58.64 ft[/tex]

The wheel could spin between 31.76 ft and 58.64 ft before getting stuck.


Related Questions

Determine the intercepts of the line.

Answers

Answer:

Hi!

The x-axis is the line that goes horizontal (from left to right) and the y-axis is the line that goes vertical (up and down). Intercepts are points that meet or intersect the axis. The x-intercept is (-40,0). The y-intercept is (0,15).

Hope this helps!

xx gloriouspurpose xx

HELP PLEASE I WILL GIVE 13 POINTS

Answers

Answer:

this difference indicates that the results are independent but not reliable.

find the zeros of ply nomial x2-3 and verify the relation ship

Answers

Answer:

[tex]x=\pm \sqrt{3}[/tex]

Step-by-step explanation:

Consider the given polynomial is

[tex]P(x)=x^2-3[/tex]

We need to find the zeros of the given polynomial.

Now,

[tex]P(x)=0[/tex]

[tex]x^2-3=0[/tex]

Add 3 on both sides.

[tex]x^2=3[/tex]

Taking square root on both sides.

[tex]x=\pm \sqrt{3}[/tex]

Therefore, zeros of the polynomial P(x) are [tex]-\sqrt{3} \text{ and }\sqrt{3}[/tex].

To verify the relationship, put [tex]x=\sqrt{3}[/tex] in P(x).

[tex]P(\sqrt{3})=(\sqrt{3})^2-3=3-3=0[/tex]

Put [tex]x=-\sqrt{3}[/tex] in P(x).

[tex]P(-\sqrt{3})=(-\sqrt{3})^2-3=3-3=0[/tex]

Since P(x)=0 for both values, therefore relationship verified.

What is the product of (x-5) and (x-4)? Use the model to find the result

Answers

Answer:

The product of the model  is [tex]x^2-9x+25[/tex]

Step-by-step explanation:

Given the expression  (x-5) and (x-4)

The product of the two factors can be expressed as follows

[tex]= (x-5) (x-4)\\=x(x-4)-5(x-5)\\[/tex]

Opening brackets we have

[tex]=x^2-4x-5x+25[/tex]

Collecting like terms we have

[tex]=x^2-9x+25[/tex]

Another question please if your not busy

Answers

The answer to this question is B

Simplify (x + 3) - 2(4 + x) + 5x - 4

Answers

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~~

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

4x - 9

Step-by-step explanation: Simplify the expression.

Hope this helped you. Brainliest would be nice!

Answer:

4x -9

Step-by-step explanation:

First, expand it by multiplying (x+4) with -2.

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

= x + 3 - 8 - 2x + 5x - 4

Then, collect like terms. Add up the coefficient of x, and the whole numbers separately.

= x - 2x +5x + 3 -8 -4

= 4x -9

When nothing can further be simplified, you get the answer.

Please answer it now in two minutes

Answers

Answer:

e=15.8

Step-by-step explanation:

Well we use the law of cosines

e^2=11^2+6^2-2(11)(6)cos(134)

[tex]e^{2} =121+36-132cos134\\e^2=157-132cos143\\e^2=248.694....\\e=15.8[/tex]

Answer:

15.8

Step-by-step explanation:

Using Cosine rule

a² = b²+c²-2bcCos A

a = e

b = 11

c = 6

A = 134°

e² = 11²+6²-2•11•6 × Cos 134

" = 121+36 -132× -0.69466

" = 157 + 91.69512

" = 248.69512

e² = 248.6951

e = (248.6951)½

e = 15.7701

nearest tenth = 15.8

❗️5 points❗️
5. state the slope of the line.
A. -2
B. 0
C. 1
D. Undefined

Answers

Hey there! :)

Answer:

B. 0

Step-by-step explanation:

On the graph, the line is a horizontal line. This means that there is no change in the y-value across the domain.

Thus, the graph has a slope of 0.

Answer:

B. 0

Step-by-step explanation:

Use the following formula to solve for slope:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (0 , -2)

(x₂ , y₂) = (2 , -2)

Plug in the corresponding numbers to the corresponding variables:

m = (-2 - (-2))/(2 - 0)

Simplify:

m = (-2 + 2)/(2 - 0)

m = 0/2 = 0

B. 0 is your slope.

~

i need helppppppppppppp

Answers

Answer:

x=70

z=20

y=30

Step-by-step explanation:

first find x: the sum of straight angle is 180

x+110=180

x=180-110=70

now find z: the sum of the angles of triangle is 180:

x=70, right angle=90

z+70+90=180

find y:

y+110+40=180

y=180-150=30

z=180-160=20

Answer:

x=70 degrees, y= 30 degrees, z=20 degrees

Step-by-step explanation:

110+x=180 => straight angle def.

180-110+40=y => def. of angles in triangle

x( 70 degrees) +90+z=180, z= 20 => angles in triangle

Ms. Daffy tells you that the longest side of her right-triangular garden is 26m and one of the sides is 14m. A. She asks you to find the other side of the garden.

Answers

Answer:

22m

Step-by-step explanation:

The computation is shown below:

Since it is a right-triangular garden so we use the pythagoreus theorem

As we know that

The C^2 refers to the longest side of the right-triangular garden

So,

a^2 + b^2 = c^2

a^2 + 14^2 = 26^2

a^2 + 196 = 676

a^2 = 480

So a = 22m

Hence, the other side of the garden is 22m

Which value for R in the table would most likely indicate an association between the conditional variables? 0.09 0.10 0.13 0.79

Answers

Answer:

0.79

Step-by-step explanation:

This value is the most opposite of the value above R, meaning that there is an association between the variables.

Answer:

.79

Step-by-step explanation:

Bc y not

Which of the following is the graph of y = StartRoot negative x minus 3 EndRoot?

Answers

Answer:

Use a graphing calc and plug in the equation.

Step-by-step explanation:

Answer:

It's C on EDGE

Step-by-step explanation:

A football field is a rectangle 48m wide and 91m long. The coach asks players to run diagonally across the field. How far did the players run?

Answers

Answer:

102.88 m

Step-by-step explanation:

Pythagorean Theorem:

a²+b²=c²

48²+91²=c²

2304+8281=10585

c²=10585

Square both sides

c= 102.88

How far the players ran:

102.88 m

Xiao Ming is now 15 years
old, his sister is 8 years
old, and his father is 46
years old. When Xiao Ming
was half his father's age,
how old was his sister?​

Answers

Answer:

16

Step-by-step explanation:

father's age=46

half of father's age=46/2=23

Xiao's age=15

so when Xiao is half of her father age =23-15=8

then add 8 to his sister's age

so 8+8=16

hope its was helpful<3<3

plz rate the answer

Answer:

His sister will be 16 year old

Step-by-step explanation:

46/2 = 23

15-8=7

23-7=16

Can someone please help me I really need help please help me thank you

Answers

Hey there! :)

Answer:

SA = 144 cm².

Step-by-step explanation:

Find the surface area by calculating the areas of each of the lateral sides and bases:

In this instance, the bases are triangles, so the formula A = 1/2(bh) will be used:

Bases:

A = 1/2(bh)

A = 1/2(4·3)

A = 1/2(12)

A = 6 cm².

There are two bases, so:

6 × 2 = 12 cm²

Find the areas of the lateral sides using A = l × w:

5 × 11 = 55 cm²

4 × 11 = 44 cm²

3 × 11 = 33 cm²

Add up all of the areas:

12 + 55 + 44 + 33 = 144 cm².

Answer:

144 cm^2

Step-by-step explanation:

So, first find the area of the triangle. To find that you need to use the formula A = bh ÷ 2 (Area = base x height ÷ 2)

A = (4)(3) ÷ 2

A of triangle = 6

Since there are 2 triangles, you need to multiply the area by 2, which equals 12.

To find the area of the rectangles, you need to use the formula A = lw (Area = length x width)

For the first rectangle,

A = 11 x 5

A = 55

For the second rectangle,

A = 4 x 11

A = 44

For the third rectangle,

A = 3 x 11

A = 33

Now, you need to add the areas of the triangles and rectangles together to get your surface area.

12 + 55 + 44 + 33 = 144cm^2

So, the surface area of the triangular prism is 144 cm^2.

HLP PLZ!!! Can't find second answer. Well, I can. But my answer doesn't match. Please Help!

Answers

Answer:

3/10

3/10

Step-by-step explanation:

0,1,2,3,4,5,6,7,8,9 are in a box

odd primes are 3 and 5 and 7  ( 1 is neither prime nor composite)

There is a total of 10 numbers

P( odd prime) = number of odd primes / total = 3/10

perfect squares greater than 0 are 1,4,9

P( perfect squares) = number of perfect squares / total = 3/10

Answer: 3/10(the first one)

Step-by-step explanation: So, prefect squares are numbers that are divisible by two numbers multiplied by them selves, 1 is 1 x 1 4 is 2 x 2 and 9 is 3 x 3 so 3 numbers out of 10 from 0 to 9 are perfect squares! Hope this helps, 15402256.

The geometric mean and one extreme are given. Find the other extreme.
33)√35 is the geometric mean between p and q. Find q if p = √7​

Answers

Answer:

q= 5

Step-by-step explanation:

Geometric mean of two term p and q is = [tex]\sqrt{pq}[/tex]

we have

p = √7​

geometric mean = √35

Thus, using the formula of geometric mean

√35 = √7​*q

[tex]\sqrt{35} = \sqrt{7q} \\[/tex]

squaring both sides

[tex]\sqrt{35}^2 = \sqrt{7q} ^2\\=>35 = 7q\\=> q = 35/7 = 5[/tex]

Thus, q= 5

EMERGENCY!!!

What is the area of this parallelogram?

Answers

A=bh
A=5x8
A=40 square units

Answer:

40

Step-by-step explanation:

A=Base✖️Height

A=Base(8)✖️Height(5)=40

According to a nutrition coach, a 100 kg person should eat
0.07 kg of protein. What percent of a person's body weight should they eat
in protein? (round to 2 decimal places) *

Answers

Answer:

0.07%

Step-by-step explanation:

This equation is solving for what percentage of 100 kg is 0.07 kg.

1. Set up the equation

[tex]\frac{0.07}{100}[/tex] = [tex]\frac{x}{100}[/tex]

0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.

2. Solve by cross multiplying

100x = 7

3. Solve for x by dividing both sides by 100

x = 0.07

The answer is 0.07%

Can someone help me with this question please.

Answers

Answer:

a). 3a² + 17a - 1

b). 4y (7y-6)

Step-by-step explanation:

in the second question, we find a number that can divide 28 and 24 without a remainder, which is 4

what is this answer5+(−4)=

Answers

Answer:

Hello!

____________________

5+(−4)= 1

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Answer:

5+(-4)=1

Step-by-step explanation:

A medical company tested a new drug on 100 people for possible side
effects. This table shows the results.
Side effects No side effects Total
Adults
7
43
50
Children
22
28
50
Total
29
71
100
Compare the probability that an adult has side effects with the probability
that a child has side effects. Draw a conclusion based on your results.

Answers

Answer:

Step-by-step explanation:

The given information is expressed as

Side effect no side effect total

Adult 7 43 50

Children 22 28 50

Total 29 71 100

Probability is expressed as

Number of favorable outcomes/number of total outcomes

For the probability that an adult has side effects,

Total number of outcomes = 50

Number of favorable outcomes = 7

Probability that an adult has side effects = 7/50 = 0.14

For the probability that a child has side effects,

Total number of outcomes = 50

Number of favorable outcomes = 22

Probability that an adult has side effects = 22/50 = 0.44

Therefore, it is more likely that a child has side effects compared to an adult

Answer: The given information is expressed asSide effect no side effect totalAdult 7 43 50Children 22 28 50Total 29 71 100Probability is expressed as Number of favorable outcomes/number of total outcomesFor the probability that an adult has side effects, Total number of outcomes = 50Number of favorable outcomes = 7Probability that an adult has side effects = 7/50 = 0.14For the probability that a child has side effects, Total number of outcomes = 50Number of favorable outcomes = 22Probability that an adult has side effects = 22/50 = 0.44Therefore, it is more likely that a child has side effects compared to an adult

Step-by-step explanation:

the qestion is the picture​

Answers

Answer:

B.

Step-by-step explanation:

choice A. is Equivalent

choice C. is Equivalent also

choice D. should be Equivalent also i believe...

choice B is NOT Equivalent

so your answer to this question should be choice B.

good luck!

3/(-5) ahahahhdhdhdbdjsj there’s the answer

Find the m∠Z.

12degrees
15.5
4.4
47.7

Answers

Using Sine rule,

[tex] \frac{\sin 96 \degree}{48}=\frac{\sin Z}{10}\\

\implies \sin Z=\frac{5\sin (96\degree)}{24}\\

\implies Z \approx 12\degree[/tex]

Question 1
Find the area:
110 cm
50 cm
140 cm
180 cm

Answers

A list of four length-measurements doesn't actually have an area.

On my screen, the list is about 2cm wide and 4cm tall, so its area would be about 8cm².  But that's just on my laptop screen.  It would be different on a phone screen.

Mr. Martin’s math test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points. Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points. x + y = 29, 5x + 2y = 100

Answers

Answer:

14 problems worth 5 points and 15 problems worth 2 points

Is the correct answer

Step-by-step explanation:

The solution are;

⇒ x = 14

⇒ y = 15

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equation for given condition is;

⇒ x + y = 29, 5x + 2y = 100

Now,

Since, The system of equation for given condition is;

⇒ x + y = 29   ..(i)

⇒ 5x + 2y = 100  ..(ii)

Solve both the equation, we get;

⇒ 5x + 5y = 145

Subtract from (ii), we get;

⇒ 5y - 2y = 145 - 100

⇒ 3y = 45

⇒ y = 15

And, x + y = 29

x + 15 = 29

x = 29 - 15

x = 14

Thus, The solution are;

⇒ x = 14

⇒ y = 15

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Tell whether each of the following is a function.
7. Which of the following could be a function? Select three that apply.
I A {(-2,-4), (-1,-2), (0, 0)}
B {(1,-2), (1, -3), (1,-4)}
C {(-2, 1), (-3, 1), (-4,1)}
D {(-1,3), (7,3), (5, -7)}
E {(6,-1),(4,3), (6,-8)}

Answers

Options A, C and D are functions.

In a function, for every number for 'x' there is only one 'y'. So, if you have two ordered pairs in a choice that have the same number for 'x', that is not a function.

Remember an ordered pair is written (x, y).

B is not a function as:
(x, y)
(1, -2)
(1, -3)
(1, -4)
^ All of the x-coordinates are the same.

E is not a function as:
(x, y)
(6, -1)
(6, -8)
^ Two of the x-coordinates are the same.

Thus, A, C and D are functions.

Can someone help me with this question please??

Answers

The correct answer is 48 mph


Explain

First, 32 miles

Average speed 64 mph

T1= time for first 32 miles

distance / speed

32 miles / 64 mph = 0.5 hrs


For remaining distance = 200 miles- 32 miles = 168miles


Let average speed = x


T1 = time for rest of journey = distance / speed

168miles / x mph

Since

Total time journey is 4 hours

T1 + t2 = 4hr


Or

0.5 +168/x = 4

168/x = 4-0.5

168/ x = 3.5

X= 168/ 3.5

X= 48 mph

PLEASE ANSWER THIS VERY FAST!! A gym membership costs $40 per month plus a one time sign up fee of $20. How many months would it take to spend $1000 for the gym membership? about 24 months or 2 years. about 12 months or 1 year. about 36 months or 3 years.

Answers

Answer:

About 24 months

Step-by-step explanation:

1000-20= 980

980/40= 24.5

Answer: about 24 months

Step-by-step explanation:

First subtract 20 from 1000 and then divide the awnser by 40

1000-20= 980

1000/ 40= 24.5

Please explain how you got the answer, too!

Answers

solve it thn re check it aks help from parents

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