a mechanic rotates the octagonal nut shown clockwise about its center, what is the angle of rotation that moves position 8 to position 5?

Answers

Answer 1

Answer:

[tex]Total\ Rotation = 225^{\circ}[/tex]

Step-by-step explanation:

Given

See attachment for nut

Required

Determine the angle of rotation

The total angle in the nut is:

[tex]\theta = 360^{\circ}[/tex]

An octagonal nut has 8 sides. So, each rotation is:

[tex]Each\ Rotation=\frac{360^{\circ}}{8}[/tex]

[tex]Each\ Rotation=45^{\circ}[/tex]

From position 8 to 5, there are 5 movements.

So, the total rotation is:

[tex]Total\ Rotation = Each\ Rotation * Moves[/tex]

[tex]Total\ Rotation = 45^{\circ} * 5[/tex]

[tex]Total\ Rotation = 225^{\circ}[/tex]

A Mechanic Rotates The Octagonal Nut Shown Clockwise About Its Center, What Is The Angle Of Rotation

Related Questions

Which is the product in the expression 5(z+6)-25+x

Answers

I think this is right x+5z+5
X+5z+5 would be the correct answer for this. Do you need an explanation?

Simplify: x^2-16/x-4 What does the given expression simplify to? What is the excluded value of x for the given expression?

Answers

Step-by-step explanation:

Difference of Squares: a² - b² = (a + b)(a - b)

(x² - 16) / (x - 4)

= [(x + 4)(x - 4)] / (x - 4)

= x + 4, where x =/= 4.

Answer:

1.    (x+4)

2.     4

Step-by-step explanation:

got right on edge

A week have five school days and two weekend days. Write as ratio

Answers

5:2 or 5 to 2 or 5/2

Answer:

5:2

Step-by-step explanation:

On your wedding day you leave for the church 30 minutes before the ceremony is scheduled to start. The church is only 10 miles away, but you have to make an unanticipated stop for construction work on the road. As a result, your average speed for the first 15 minutes is only 5 miles per hour. What average speed do you need to go for the rest of the trip to get to the church on time

Answers

Answer:

You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time

Step-by-step explanation:

We use the following relation to solve the question:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

First 15 minutes:

Time of 15 minutes = 0.25 hour, so [tex]t = 0.25[/tex]

Velocity of 5 miles per hour. So the distance is of:

[tex]d = vt = 5*0.25 = 1.25[/tex]

Final 15 minutes:

The will need to drive 10 - 1.25 = 8.75 miles in 15 minutes = 0.25 hours. So, the average speed will need to be of at least:

[tex]v = \frac{d}{t} = \frac{8.75}{0.25} = 35[/tex]

You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time

A jet plane can carry up to 200,000 liters of fuel. It used to 130,000 liters of fuel during a flights. What percentage of the fuel capacity did it use on this flight?

Answers

65%
Step-by-step explanation:
Given: Full capacity= 200000 litres
Amount of fuel used during flight= 130000 litres
Now, finding percentage of fuel used on the flight.
∴ Percentage of fuel used=
Solving it, we will get
∴ 65% of fuel capacity been used in this flight.

Marcus rolled a number cube and recorded his results in the table. What is the experimental probability that the next roll is a five? Round your answer to the nearest whole percent.

Answers

Answer:

The probability is 13.33%

Step-by-step explanation:

Probability

The probability of an outcome is defined as the frequency of the number of times the outcome occurs (f) relative to the number of times that it could have occurred (n).

The formula to calculate the probability is:

[tex]\displaystyle P=\frac{f}{n}[/tex]

Marcus rolled a number cube and the results are recorded in a table where it can be noted that the number five rolled f=24 times. The total number of trials is n=30+45+30+28+24+23=180.

The probability that the next roll is a five is:

[tex]\displaystyle P=\frac{24}{180}[/tex]

Simplifying:

[tex]\displaystyle P=\frac{24}{180}[/tex]

[tex]\displaystyle P=\frac{2}{15}[/tex]

Dividing:

[tex]\displaystyle P=0.1333 = 13.33\%[/tex]

The probability is 13.33%

Jack was 14 years older than Priscilla. Together their ages totaled 158 years. What were their ages?

Answers

Answer:

Jack's age: 86, Priscilla's age: 72

Step-by-step explanation:

Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.

Answer:

Jack is 86 years old,

and Priscilla is 72 years old

Step-by-step explanation:

j = Jack

p = Priscilla

j - 14 = p $\Rightarrow$ j = p+14

j+p = 158

By subsituting the value of j ( first equation) into the second equation, we get:

p+14+p = 158

2p+14 = 158

2p = 144

p = 72.

So, j = 86

On Wednesday, how many total kilograms of flour were prodľiced at plant #1 and
plant #2 combined?

Answers

Answer:

110,000 kg

Step-by-step explanation:

Just look at the kilos of flour produced on Wednesday from both plants and add them together :)

plz plz plz
i am running out the time

Answers

Answer:

mode:7

range:8

Step-by-step explanation:

mode is the most repeated number

range is the greatest -smallest number

if JK is the midsegment of triangle GHI, find x

Answers

Answer:

C. 11

Step-by-step explanation:

Since JK is a midsegment of ∆GHI, therefore, based in the midsegment theorem:

JK = ½(HI)

HI = 22

Therefore,

JK = ½(22)

JK = 11

the diameter of a gigantic Ferris wheel is 185 meters. if a man rides a ferris wheel for one revolution find how far he travels give the exact answer and the approximation using 3.14 for pi​

Answers

Answer:

Step-by-step explanation:

You need to find out the circumference of the Ferris wheel

C=d*3.14=185*3.14=580.90 m

Solve for y:

76y = 19
A. y = 4
B. y = 2/3
C. y = 1/4
D. y = 38

Answers

Answer:

C.     y=1/4

Step-by-step explanation:

76y=19

y=19/76

7=.25 or 1/4

Answer:

Hi! The correct answer is C. y = 1/4

Step by step explanation:

Divide each term by 76 and simplify.

The size of a jar of coffee is increased by 1/5. The new size is later reduced by 1/5.
Is the new jar smaller, the same size or larger than the original? Explain how you worked out your answer.

Answers

Answer:

The new jar is smaller.

Step-by-step explanation:

Like what the statements says, the normal size of coffee is reduced by 1/5 and it become as the new jar which is smaller than the original.

The price of an item has been reduced by 60%. The original price was $52

Answers

The think the answer is $86

28 decreased by 2.6%

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given

28 decreased by 2.6%

First we need to determine the percentage decrease such as:

Percentage decrease = 2.6% of 28

                                     = 2.6/100 × 28

                                     = 0.026 × 28

                                     = 0.73

New value can be determined using the formula

New vaue = 28 - percentage decrease

                 = 28 - 0.73

                 = 27.27

determine the value of x if the measure of the sixth exterior angle of a hexagon is given by -6(3/16x-14)+3​

Answers

Answer:

24°

Step-by-step explanation:

Assume the hexagon is regular.

11. Twyla and Tony have a 30/5 balloon mortgage for $389,900 with a rate of 4.85%. How much will they pay in interest over the life of the loan? (3 points)

O $81,373.41

$92,263.82

O $107,536.50

O $121,390.73

Answers

Answer:

Explanation:

Twyla and Tony with a balloon mortgage of 30/5 will make constant payments over the space of 5 years and then complete the bulk balloon payment for 25 years remaining.

Given mortgage loan value of $389900

Interest rate of 4.85%

We are asked to calculate the interest over the life of the loan.

We will calculate interest by calculating constant payments over the period of 5 years before balloon payment is due and adding them together then subtracting the mortgage loan given $389900

Formula for constant payments :

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= constant/monthly payments

r= interest rate on the mortgage loan

n= number of payments = 30×12= 360

P= mortgage loan given

A= $389900×0.0485×0.0485(1+0.0485)^360/(1+0.0485)^360-1

=$389900×0.0485×1231340.79/25388468.94

=$389900×0.0485×0.04850

A= $917.142

Payment for five years(with interest)= $917.142×60= $55028.52

Calculate balloon payment:

FV= PV(1+r)^n - P((1+r)^n-1/r)

Where FV= future value of balloon payment

PV= initial loan given

r= interest rate on loan

n= number of payments

P= monthly payments

Substitute:

FV= $389900(1+0.0485/12)^60-917.142((1+0.0485/12)^60-1/0.0485/12)

=$389900×1.2738-917.142(0.2738/0.004041)

=$389900×1.2738-917.142×67.756

= 496654.62-62141.87

FV = $434512.75

Therefore total payment made with interest over the life of the loan= balloon payment+ constant payments for five years= $434512.75+$55028.52

=

solve for x
19.
20.
21.
22.
23.
24.

Answers

Answer:

I hope I helped sorry l didn't understand question number 19

write 56
as the product of prime factors ​

Answers

[tex]56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2[/tex]

Which of the following equations can be used to find three consecutive odd integers whose sum is 147?

n+n+1+n+3=147
n+n+1+n+2=147
n+n+n=147
n+n+2+n+4=147

Answers

Answer:

It’s the last one

Step-by-step explanation:

Plz mark me brainliest

Write a function rule for "The output is half of the input x."

Answers

Answer:

[tex]y = \frac{x}{2}[/tex]

Step-by-step explanation:

Functions:

Functions have the following format:

y = f(x)

In which y is the output, x is the input, and f is the relation between them.

In this question:

The output is half of the input x. This means that:

[tex]y = \frac{x}{2}[/tex]

Functions can be represented using equations and mathematical statements

The function rule is y = 0.5x

The statement is given as:

The output is half of the input x."

Let the output be y.

So, we have:

y = 0.5 * x

Evaluate the product

y = 0.5x

Hence, the function rule is y = 0.5x

Read more about function rules at:

https://brainly.com/question/271007

There are 8 circles and 10 triangles. What is the simplest ratio of circles to total shapes?

Answers

The simplest ratio is 4:9

Which of these situations would follow the general rule for basis of inherited property?

Louis died on August 12, 2019, leaving his house to his sister, Etty.

On August 15, 2018, Leroy gave his brother Ralph appreciated stock. Leroy's brother Ralph died on February 16, 2019. Ralph's only heir was Leroy.

Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.

Janet died on January 1, 2019. At that time, she had an IRA with a balance of $32,640. She named her daughter, Emily, as the beneficiary of her IRA.

Answers

Amon the following situation 2 cases follow the general rule for basis of inherited property

Given , Statements of inheritance.

1. Louis died on August 12. 2019 leaving his house to his sister, Etty.

This is a case of inheritance of property as it justifies conditions of the definition of Inheritance of Property i.e Louis died and as a consequence his property is transferred to his sister which is her relative as per law. So, this is a valid case of inheritance. Even a person can transfer his property to some unrelated person, if he so mentions in his will.

2. On August 15, 2018, Leroy give his brother Ralph appreciated stock. Leroy's brother died on February 16, 2019, Ralph's only heir was Leroy.

In this case, transfer of stock from Leroy to Ralph is outside the definition of inheritance, since Leroy was not died at that time. On second instance, when stock was transferred to Leroy after Ralph death in February 2019. It is a case of inheritance but it is the case of inheritance of stock, not inheritance of property. Stock of a company is not considered a property.

3.Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.

A 401(k) plan is a retirement savings account that allows an employee to divert a portion of his or her salary into long-term investments. The employer may match the employee's contribution up to a limit.

This is also a case of inheritance but not the case of inheritence of property. Retirement Savings account is not considered as property.

4.Janet died January 1, 2019. At that time, she had a IRA with balance of $32640. She named her daughter, Emily, as the beneficiary of her IRA.

This is also a case of inheritance but not the case of inheritence of property. IRA (Individual Retirement Account) is not considered as property.

Know more about inheritance of property,

https://brainly.com/question/29375949

#SPJ4

mr chowdhary purchased a house for rs 6.1 lakh and spent 30000 on its repairs. he then sold it rs 8 lakh. find his gain percent​

Answers

Given:

Purchasing price = 6.1 lakh

Amount spent of repair = 30000

Selling price = 8 lakh

To find:

The gain percentage.

Solution:

We have,

Purchasing price = 6.1 lakh

Amount spent of repair = 30000 = 0.3 lakh

So, total cost price is

[tex]C.P.=6.1+0.3[/tex]

[tex]C.P.=6.4[/tex]

The total cost price is 6.4.

Selling price(S.P.) = 8 lakh

Now,

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{8.0-6.4}{6.4}\times 100[/tex]

[tex]Gain\%=\dfrac{1.6}{6.4}\times 100[/tex]

[tex]Gain\%=\dfrac{1}{4}\times 100[/tex]

[tex]Gain\%=25\%[/tex]

Therefore, the gain percent is 25%.

What is the solution to the equation?

Answers

Answer:

C- t=411

Step-by-step explanation:

there is this really cool site/app called

math

way

it helps for everything, just use it

Find the percent of a number 20% of 155​

Answers

Answer: 31


Explanation:

1. Turn 20% into a decimal (0.20)

2. Multiply 155 by 0.2 to get the answer (155×0.2=31)

Hey there!

[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]

[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\frak{Amphitrite1040:)}[/tex]

Can someone help me please ?

Answers

Answer:

1 ==> C

2 ==> A

3 ==> B

hope this helps! lmk if you have any questions about my answer

2. Robert has three jobs. He worked at Young's Grocery and earned $5,805. He was a waiter at the A & B Restaurant and earned $12,445. He also earned $56,002

working for CCD Communications. Each employer took out 6.2% for Social Security. How much did Robert pay in Social Security?

Answers

Answer:

Robert paid $4,603.6 in Social Security.

Step-by-step explanation:

Robert total earnings:

$5,805 at Young's Grocery.

$12,445 at A&B Restaurant.

$56,002 at CCD Communications.

So his total earnings are of:

5805 + 12445 + 56002 = $74,252

How much did Robert pay in Social Security?

6.2%, that is, 0.062 of $74,252. So

0.062*74252 = $4,603.6

On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was

Answers

Answer:

the proportion of workers from company B who purchsed coffee was pˆC=0.75

Step-by-step explanation:

Answer: pˆC=0.75

Step-by-step explanation:

Steven wants to buy a couch that costs $475. He has already saved $120. He plans to save $25 a week.
Enter a function to represent the amount Steven will have saved in x weeks. Will he have enough to buy
the couch in 10 weeks? Complete the explanation.

Answers

Answer:

f(x)=25x+120. f(10)=370

Answer:

Step-by-step explanation:

f(10)= Which Is 25. This means that he will have saved $250 in 10 weeks. The couch costs $475 whis is $225 more than $250

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