a circular curve is to be constructed with a 225 ft radius and an interior angle of 55 degrees. the separation between the stakes along the arc is 50 ft. assuming the curve is laid out from point to point, what is the last deflection angle?

The redwood that the carpenter needs is 5 [tex]\frac{5}{6}[/tex] feet.

From the information, the carpenter uses 8 [tex]\frac{1}{2}[/tex] ft of cedar for every 13 [tex]\frac{2}{3}[/tex] ft of redwood for a construction project.

Let the redwood needed be illustrated as x.

It's important to note that 4 [tex]\frac{1}{4}[/tex] is half of 8 [tex]\frac{1}{2}[/tex]. Therefore, we will divide the redwoods given earlier by 2. This will be:

= 13 [tex]\frac{2}{3}[/tex] ÷ 2.

= 41 / 3 × 1/2

= 41 / 6.

= 6 [tex]\frac{5}{6}[/tex] ft

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Answer:

2 3/16

Step-by-step explanation:

It's simple math :D

NOVEMBER QUOTE!

Ooo! It's fall and thanksgiving time! I gotta get prepared for Thanksgiving and so my friends will come over! Fun! - Ash the Fox

(sorry that ones so long- ;-;)

Answer:

See below

Step-by-step explanation:

It is NOT a right triangle or the diagonal would measure 52 feet (instead of 54 feet) ....it is an OBTUSE triangle

Answer:

2x-y=18

Step-by-step explanation:

y + 4 = 2(x - 7)     (open brackets)

y + 4 = 2x - 14      (re arrange)

4 + 14 = 2x - y

2x - y = 18

Answer:

−2 c negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0 d negative 3 over 5

Step-by-step explanation:

Answer:

Prime

Step-by-step explanation:

Because this number is only divisible by itself and no other number.

Answer; the  Negative of 12 is -12

Step-by-step explanation: first of all the reciprocal of 12 is 1 over 12. so that's not it. The absolute value of 12 is still 12 so that's not it. So the only thing that it can be is the Negative of 12 is -12  

Answer:

x = 3

Step-by-step explanation:

f(x)=4x - 1

f(x)=11, find x.

We want the value of x that would make 4x-1 equal to 11.  Use 11 instead of f(x):

f(x)=4x - 1

11=4x - 1

Solve:

12 = 4x

x = 3

If x were 3, 4x-1 would be 4*3-3 or 11

Answer:

$6.50

Step-by-step explanation:

3.50(2)+2x+2.50(3)=26.50

6.00+2x+7.50=26.50

13.50+2x=26.50

2x=13.00

x=6.50

It will take 1 hour 20 mins for one old-model and one new-model machine to stamp 1000 parts working together.

Given that;

Finding the hourly cost of stamping parts for each machine is one way to approach this issue.

In 4 hours, the outdated equipment can stamp 1000 pieces. That means that it produces 250 parts per hour (1000 divided by 4). The new machine produces 1000 parts in two hours, which translates to 500 components every hour of stamping (1000 divided by 2).

If t is the amount of time that both machines are simultaneously stamping, then to determine the output, which must be 1000 parts, we simply multiply the rates of the two machines by t.

By multiplying the unknown time, t, by each of the two machines' rates and setting the result equal to 1000, it is possible to determine the precise amount of time required. Equation form of this is;

250t + 500t = 1000

750t = 1000

t = 1000/750

t = 1.333

It will take 1 hour 20 mins for one old-model and one new-model machine to stamp 1000 parts working together.

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Angle are ,x = 45 and y = 45

acc to our question-

Hence,Angle are ,x = 45 and y = 45

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The alternative hypothesis and null are:

H₀ : p = 0.31 vs H₁ : p > 0.31

Given that;

A sample of 900 computer chips revealed that 34% of the chips do not fail in the first 1000 hours of their use. the company's promotional literature states that 31% of the chips do not fail in the first 1000 hours of their use. the quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage.

To get decision rule for rejecting the null hypothesis, h0, at the 0.10 level;

n = 900

P = 0.34

p = 0.31

α = 0.10

Claim: More than 31% do not malfunction within the first 1000 hours of operation.

The null and alternative hypothesis must be stated.

This is a right-tailed test because the claim is directional to the right side (> type).

Therefore, the alternative hypothesis and null are:

H₀ : p = 0.31 vs H₁ : p > 0.31

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The evaluation of the expression for the given values of j and k is -0.65

From the question, we are to evaluate the given expression for the given values of j and k.

From the given information,

The given expression is

(jk - 1) ÷ j

and

j = -4 and k = -0.9

Now, substitute the values of j and k into the expression

(jk - 1) ÷ j

((-4)(-0.9) - 1) ÷ -4

= (3.6 - 1) ÷ -4

= 2.6 ÷ -4

= - 0.65

Hence, the value of the expression is -0.65

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The equation ; x + 1/y = 7 as given in the task content is a linear equation.

It follows from the task content that the equation given in the task content is to be identified as linear or not.

Since the given equation is; x + 1/y = 7;

It is noteworthy to know that a linear equation is one in which case, the greatest exponent of the variable is; 1.

Therefore, since the greatest exponent of a variable in the given equation is 1; it follows that the equation is a linear equation.

Hence, the equation given in the task content; x + 1/y = 7 is a linear equation.

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The value of n is -22.

What is a variable?

Any traits, figures, or amounts that may be gauged or counted are considered variables.

Given:

5(n+4)/3=n-8

Move 3 to the right

5(n+4)=3(n-8)

5n+20=3n-24

5n-3n= -24-20

2n=-44

n=- 44/2=-22

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Step-by-step explanation:

[tex]4pound \: roast \: = 140 \: minutes \\ 5 \: pounds \: roast \: = {?} \\ then cross multiplication \\ 140 \times 5 \: divide \: by \: 4 \\ 700 \div 4 = 175 \\ 5 \: pound \: roast \: take \: 175 \: minutes[/tex]

Answer:

b=11

Step-by-step explanation:

lets set up the equation. we know that both sides equal each other so the equation is

2b+7=3b-4 let's move the 2b to the other side so we get

7=b-4 now add the 4 to the other side

11=b

Answer:

B is 11

Step-by-step explanation:

Answer:

The slope is 5.

Step-by-step explanation:

[tex]m = \frac{1 - 6}{ - 1 - 0} = \frac{ - 5}{ - 1} = 5[/tex]

Answer:

$2.46

Step-by-step explanation:

7.38/3 = 2.46

2.46 x 3 = 7.38

a) The correct equation to represent the given condition is;

⇒ 4 (x + $3) = $36

Where, x represents the amount Pablo parents added in each day.

b) The amount to added by his parents in his account = $6

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;

For 4 days, Pablo put $3 into his account.

And, His parent also add the some money to his saving account.

In the end, there was a total $36 in his account.

Now,

Let the amount Pablo parents added in each day = x

So, We can formulate;

⇒ 4 (x + $3) = $36

Solve for x as;

⇒ 4x + $12 = $36

⇒ 4 x = $36 - $12

⇒ 4x = $24

Divide by 4 both side, we get;

⇒ x = $6

Thus,

a) The correct equation to represent the given condition is;

⇒ 4 (x + $3) = $36

Where, x represents the amount Pablo parents added in each day.

b) The amount to added by his parents in his account = $6

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Answer: 67

Step-by-step explanation:

do the math

Answer:

Step-by-step explanation:

first multiply
80* 7% you can also do it as 80* (7/100)
=5.6
then,

add 80 and the ans of 80* (7/100)

80+5.6= 85.6

The inequality that represents the quantity of bags of soil Sabrina needs is 1.75x >  42

The bags of soil needed is 24 bags

Inequality as used in math refers to relations that are not precisely equal

Sabrina needs more than 42 ft.³ of soil to top up her raised garden bed

> 42 ft³

each bag of soil contains 1.75 ft.³

let the number of bags of soil be x, such that

1.75x >  42

x > 42 / 1.75

x >  24

Sabrina needs at least 24 bags of soil

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Answer: x1=π/6 ,x2 = π/4, x3 = 5π/6, x4 5π/4

Step-by-step explanation:

2sin(x)-1=0

tan(x)-1=0

sin(x)=1/2

tan(x)=1

x=π/6

x=5π/6

x=π/4

x=5π/4

x1=π/6 ,x2 = π/4, x3 = 5π/6, x4 5π/4

The largest sample size required is 2886.4.

Here we have to calculate how large of a sample size is required.

The formula:

(Z ∝I2/ E)² × P( 1- P)

The given data:

Margin error (E) = 1.5%

=0.015

As it is given that 90% confident that your estimate is within 1.5% of the true population proportion, therefore we have:

The level of significance(∝) = 1 - 0.90

= 0.10

The z value for the 90% confidence is 1.645

Therefore the largest of a sample size is required = ( 1.645/ 0.015)²× ( 0.4)(1- 0.4)

= 2886.4

The largest a sample size required is 2886.4

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The solution to the given set of systems of equations is (x, y) = (1, -4).

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let's determine the solution using the elimination Method

3x−2y=11  (Equation 1)

3x−y=7(Equation 2)

Multiply the second equation by 2.

6x - 2y = 14    (Equation 3)

Now subtract the first equation from third to eliminate the y.

6x - 2y - (3x - 2y) = 14 - 11

3x = 3

x = 1

Now to find the value of y,

3x−y=7

3(1) − y = 7

y = 7 - 3

y = -4

Therefore, the solution to the given set of systems of equations is (x, y) = (1, -4).

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The total amount given the original price and tax rate is $33.59

From the question, we have the following parameters:

Original price = $31.69

Sales tax rate = 6%

In order to determine the total sales amount, we make use of the following total sales equation

Total sales = original price + original price * sales tax rate

Substitute the known values in the above equation

So, we have the following equation

Total sales = 31.69 + 31.69 * 6%

Evaluate

Total sales = 33.59

Hence, the total amount is $33.59

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No the two rectangles are not similar as the ratios of the sides are not equal.

Two rectangles are said to be similar if the ratio of the sides of the rectangles are equal.

Now let us consider the given rectangles:

In rectangle ABCD:

AB = 18

AD = 36

In rectangle WXYZ :

WX = 25

XY = 45

Now the ratio of the sides of the rectangle are:

AB/AD = 18 / 36 = 1 / 2

WX/XY = 25 / 45 = 5 / 9

Thus we can see that AB : AD ≠ WX : XY

Hence the rectangles are not similar.

If the ratios of the adjacent sides of two rectangles are equal, then they are similar. A rectangle is a quadrilateral in the Euclidean plane because it has four right angles.

Other definitions include a parallelogram with a right angle or a quadrilateral that is equiangular, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

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The equation which has exactly one solution is 6x - 6 = 15x + 15.

The correct answer option is option A

Check all that applies:

6x - 6 = 15x + 15

6x - 15x = 15 + 6

- 9x = 21

divide both sides by -9

x = 21/-9

x = -2.33

6x + 15 = 6x + 15

6x - 6x = 15 - 15

0 = 0

False

6x - 15 = 6x + 15

6x - 6x = 15 + 15

0 = 30

False

6x - 6 = 6x + 15

6x - 6x = 15 + 6

0 = 21

False

In conclusion, the 6x - 6 = 15x + 15 has only one solution.

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