I need to learn about algebra 1 how would i get help?

The measure of the arc 13cm long with a radius = 1  is 13rad

The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.

Length of an arc = ∅/360 x 2πr

where ∅ = subtended angle in degree

r = 1 = radius of the complete circle

length = 13

13 =  ∅ /360 x  2 x π x 1

but 2π rad = 360  degrees

substitute  2π rad  for 360 into the equation

13 =  ∅/2π rad  x 2 x π x 1

By cross multiplying

∅ = 13 x 2π rad / 2 x π

∅ = 13 rad

In conclusion, the angle subtended by the arc in radians is 13 rad.

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It will take at least 9 days for adaim to reach his goal of 70 miles.

Given that,

The 70-mile mark is Adaim's objective. He can hike 8 miles every day.

To find :  How long will he need to hike the entire 70 miles?

Therefore, your main task will be to find X.

X times 8 equals 70.

Dividing both sides by 8 yields X on its own.

X therefore equals 70/8.

In the event that your teacher prefers a decimal, you would convert that to 8.75 and round to 9 because it is a day.

Therefore, It will take atleast 9 days for adaim to reach his goal of 70 miles.

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Answer:

5 - 1/2x = x - 6

Step-by-step explanation:

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The probability is 1/3 of the given event .

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

There are 52×51 outcomes when you draw 2 cards one after another without returning the first drawn card to the deck.

There are 48×4 outcomes when the first card is not Ace and the second card is Ace. There are 4×3 outcomes when both cards are Ace. The total outcomes are 48×4+4×3=51×4.

The probability is 51×452×51=51/52×4/51=4/52=1/3.

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A line that intersects two or more lines in a plane at different points is called a transversal line.

A line is a geometrical figure that has length and can be extended in both directions.

Line is of two types: Straight and curved.

There are other types of lines also:

1. Parallel lines: Regardless of the length of the lines, two lines that run parallel to one another and are separated by the same distance but do not intersect are known as parallel lines.

2. Perpendicular lines: When two non-parallel lines cross at a place, they are said to be intersecting. The point of intersection is the solitary intersection of two lines.

3. Transversal lines: A straight line called a transversal cuts two or more lines, some of which may or may not be parallel. In the idea of geometry, a transversal line intersects two lines in the same plane at two different locations.

Hence, A line that intersects two or more lines in a plane at different points is called a transversal line.

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Answer:

2

Step-by-step explanation:

2 [tex]\frac{3}{5}[/tex] ÷ 1 [tex]\frac{3}{10}[/tex]

[tex]\frac{13}{5}[/tex] ÷ [tex]\frac{13}{10}[/tex]

[tex]\frac{13}{5}[/tex] x [tex]\frac{10}{13}[/tex] = 2

Using conversion of improper fraction to a decimal, we find that she bought 18.32 pounds of meat, which is a terminating decimal.

acc to our question-

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The probability to have women applications between 35% to 45% is 1.

Here we are given that the sample number of applications received was 120.

Also, 40% of total applications are of women.

Hence this is clearly a Binomial Distribution with,

n = 120

p= 0.4

We need to find the probability that the sample applications have women applicants between 35% to 45%. For this, we need to use the method of Normal Approximation

Now,

np = 120 X 0.4

= 48

Since np > 10,

We can use Normal approximation here, with

mean = np = 48

Variance = np(1 - p)

= 48 X 0.6

= 28.8

35% of applicants = 42

45% of applicants = 54

Hence we need to find

P(42<X<54)

P(a<X<b)

= P(X<b) - P(X<a)

Therefore we get

P(X < 54) - P(X<42)

Now subtracting it with its mean and dividing it by its standard deviation we get

P(X < (54 - 48)/5.3666) - P(X < (42- 48)/5.3666)

= P(X < 1.1180) - P(X < -1.1180)

= 0.86650 - 0.13350

= 1

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(a) Graph of the function is given below.

(b) The domain of the function is, - ∞ < x < ∞.

     The range of the function is, -1  ≤  ∞.

(c) The x - intercepts are, (-3, 0), (-1, 0) and the y - intercept is, (0, 1).

(d) The graph is symmetric about the vertical line y = -2.

What is absolute value function?

The non-negative value of x, regardless of its sign, is referred to in mathematics as the absolute value or modulus of the real number x, symbolized by the symbol |x|. Specifically, |x| = x if x is a positive number, |x| = -x if x is a negative number, and |0| = 0.

Given: f(x) = | x + 2 | - 1.

(a) The graph of the function is attached below.

(b) As the function is absolute function, so the function is defined for all the real numbers.

Hence, the domain is, - ∞ < x < ∞.

The function has all y - values from -1.

Hence, range of the function is, -1 ≤ y.

(c) Now to find the x - intercepts and the y - intercepts.

Let, y = | x + 2| - 1

To find x - intercept plug y = 0

⇒ 0 = |x + 2| - 1

⇒ |x + 2| = 1

⇒  -(x + 2) = 1,      (x + 2) = 1

⇒   -x - 2 = 1,          x + 2 = 1

⇒         x = -3,              x = -1

Therefore, the x - intercepts are (-3, 0) and (-1, 0).

To find y - intercept plug  x = 0 in the above equation.

y = |0 + 2| - 1

y = 2 - 1

y = 1

Therefore, the y - intercept is, (0, 1).

(d) From the graph we can see that, the symmetry of the graph is about the vertical line x = -2.

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The percentage error of Bob’s measurement is 3.87%

The percentage error is The difference between the estimated value and the actual value in relation to the actual value is given as a percentage. Analyst use this formula to determine how big is the error in a relation to true value.

Percentage error can be calculated by the given formula

percentage error=((Exprimental value-Actual value))/(Actual value)∙100

Here, given that

The experimental volume of liquid is 18.8 ml, and the actual volume of liquid is 18.1 ml

i.e. exprimental volume=18.8 mL

and, actual volume=18.1 mL

Now, we will calculate the percentage error

So,

percntage error=((18.8-18.1))/18.1∙100

percentage error=0.7/18.1∙100

percentage error=0.0387∙100

percentage error=3.87%

Hence,

       We got percentage error of 3.87% in measurement

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Option (D) is the correct option and

The position of 0 represents on the surface of the sea.

Given, a turtle is 6 feet below the surface of the sea.

And his position can be recorded as −6 feet.

Now, if his position is recorded as -6 feet, then

according to the cartesian plane

0 represents the origin i.e. the surface of the sea.

Hence, Option (D) is the correct option and

The position of 0 represents on the surface of the sea.

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Answer:

110

Step-by-step explanation:

2/5=44/x

Cross multiply

2x=44(5)

2x=220

/2.  /2

x=110

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Answer:

Step-by-step explanation:

Answer: 3x²(x - 5)²

Step-by-step explanation:

Factoring out 3x² of each term leaves you with 3x²(x² - 10x +25)

We can still factor out (x² - 10x +25) to (x-5)(x-5), which is simply (x-5)².

This will leave you with 3x²(x - 5)².

Answer: 14

Step-by-step explanation:

The formula for slope in this problem is:

[tex]\frac{-5-(-20)}{r-2}=\frac{5}{4}[/tex]

[tex]\frac{15}{r-2} = \frac{5}{4}[/tex] (cross multiply)

60 = 5(r-2)

60 = 5r - 10

70 = 5r

14 = r

Check: (2, -20) (14, -5)

[tex]\frac{-5-(-20)}{14-2}[/tex]

[tex]\frac{15}{12}[/tex]

[tex]\frac{5}{4}[/tex]  

I took a picture because it may be a little difficult to understand if I wrote it in text. Hope this helps.

The probability that the selected contestant received a score of 555 on day 222 or day 333 is 5/7.

If it is given that on day 222 the no of contestants received a score of 555 is 2 and no of contestants received a score of 555 on day 222 is 3.

Given:

It is given that no contestant received the same score on two different days. So, we have 7 days in a week which means there are 7 contestants only who could be chosen and have a score of 555.

So, the contestants who received a score of 555 on any day = 7.

Now, the contestant received a score of 555 on day 222 is 2 and on day 333 is 3.

Probability = No of favorable outcomes/Total no. of outcomes

Probability =  (2 + 3)/7 = 5/7

The probability that the selected contestant received a score of 555 on day 222 or day 333 is 5/7.

If it is given that on day 222 the no of contestants received a score of 555 is 2 and no of contestants received a score of 555 on day 222 is 3.

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For the given parallelogram of 5-inch side and an 8-inch side  with an angle of 50-degree , the area of the parallelogram is equal to 30.64 square inches and the lengths of its diagonals are 11.85inches and 6.13 inches.

As given in the question,

Side lengths of the parallelogram are :

From the attached diagram we have,

Side AC = 5 inches

Side CD = 8 inches

Angle ACD = 50°

Draw altitude 'h' from vertex A to the base CD at point E.

Length of CE = x inches

In ΔACE,

sin 50° = h / 5

⇒ h = 5 sin 50°

⇒ h = 5 (0.766)

⇒ h = 3.83 inches

cos 50° = x/ 5

⇒ x = 5 cos 50°

⇒ x = 5 ( 0.6428)

⇒ x = 3.214 inches

Length of diagonal BC

BC = √ h² + ( 8 + x )²

     = √(3.83)² + ( 8 + 3.214)²

     = √140.422696

     ≈ 11.85 inches

Length of diagonal AD

AD = √ h² + ( 8 -x )²

     = √(3.83)² + ( 8 - 3.214)²

     =√37.574696

     ≈ 6.13 inches

Area of a parallelogram ABCD

= height × corresponding base

= 3.83 × 8

= 30.64 square inches

Therefore, for the given parallelogram of 5-inch side and an 8-inch side  with an angle of 50-degree , the area of the parallelogram is equal to 30.64 square inches and the lengths of its diagonals are 11.85inch and 6.13 inch.

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Answer:

[tex]r(t)=\dfrac{1}{t}\ln \left(\dfrac{A}{P}\right)[/tex]

Step-by-step explanation:

Given function:  

[tex]A(t)=Pe^{rt}[/tex]

Divide both sides by P:

[tex]\implies \dfrac{A}{P}=e^{rt}[/tex]

Take natural logs of both sides of the equation:

[tex]\implies \ln \left(\dfrac{A}{P}\right)=\ln e^{rt}[/tex]

[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\implies \ln \left(\dfrac{A}{P}\right)=rt\ln e[/tex]

Apply the natural log law:  ln (e) = 1

[tex]\implies \ln \left(\dfrac{A}{P}\right)=rt[/tex]

Divide both sides by t:

[tex]\implies r=\dfrac{1}{t}\ln \left(\dfrac{A}{P}\right)[/tex]

Answer:

In order to answer this question, the amount she makes must be provided.

The next step to bisect the line segment CD is to make an arc above the line as well as an arc below the line.

How to cut a line segment in half is as follows:

• Place the compass at point D.

• Set the compass to be just a little bit longer than half the length of the line segment.

• Draw arcs above and below the line.

• Do the same thing by keeping the compass at C point while maintaining the same compass width.

• Draw the line segment that passes through the points where both arcs crosses each other.

Hence, after keeping compass on point D, the next step will be to draw an arc above and below the line segment.

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The solution for the given inequality is x < -5.

What is inequality in mathematics?

An inequality in mathematics is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line.

The given inequality is -2x - 6 > x + 9

Subtract x from both sides.

                -2x -6 -x  > x + 9 -x

                -3x - 6 > 9

Add 6 to both sides, and we get

                  -3x - 6 + 6 > 9 + 6  

                   -3x > 15

Divide both sides by -3

                   ⇒ x < -5

Hence, the solution for the given inequality is x < -5.

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Answer:

∴ (x + 2)(x - 1)(x - 2) = x³- x² - 4x + 4

Step-by-step explanation:

(x + 2)(x - 1)(x - 2) = (x² + 2x - x - 2)(x - 2)

                           = (x² + x - 2)(x - 2)

                           = (x³ + x² - 2x - 2x² - 2x + 4)

                           = x³ - x² - 4x + 4

By using the rectangle, we proved that area of triangle is half the area of rectangle that is 1/2 (base×height).

To Prove:- Area of a triangle= 1/2 (base×height)

Diagonals of a rectangle divide it into two parts of equal parts that is area

.

Let  ABCD  be a rectangle.

In ΔABC and ΔADC,

                                         AC=AC

By Alternate Interior Angles:

                                    ∠BAC=∠CAD

                                    ∠BCA=∠CDA

Hence, ΔABC≅ΔACD

                               ∴ar(ΔABC) =ar(ΔACD)

Let ΔABC,

We draw a line AD perpendicular to BC, line EF parallel to BC passing through A and lines BE and CF , perpendicular to BC passing through B and C respectively.

In rectangle ADBE,

we get,

                     ar(ΔABE)=ar(ΔADB)

Similarly, in rectangle ADCF,

                     ar(ΔADC)=ar(ΔACF)

Now, area of rectangle BCFE, from axiom,

                               =(length)⋅(breadth)

                               =AB⋅BC

                              =AD⋅BC

Also,

ar(BCFE)

                                   =ar(ADBE)+ar(ADCF)

                                   =2⋅ar(ΔADC)+2⋅ar(ΔADB)

                                   =2(ar(ΔADC)+ar(ΔADC)

                                   =2(ar(ΔABC))

From (1) and (2),

                                   2(ar(ΔABC))=AD⋅BC

                                    ar(ΔABC)=1/2AD⋅BC

                                   ar(ΔABC)=1/2(base)⋅(height)

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Answer:

P≈39141 ENTER 39141

Step-bystep explanation:

Source TRUST ME BRO

The type of transformation is translation

The figures represent the given parameters

On the figure, we can see that:

Both shapes have the same size

This means that none of the shapes is dilated

Also, the orientation of the shapes are the same

This implies that the shapes are not rotated or reflected

So, the closest transformation is translation

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Answer:

A

Step-by-step explanation:

The number of possible combinations Miranda can make from his box is 240

The number of jewelry in Miranda box are given as

Necklaces = 8

Earrings = 10 pairs

Bracelets = 3

The number of possible combinations is the product of the above parameters

So, we have

Number of possible combinations = 8 * 10 * 3

Evaluate the products

So, we have

Number of possible combinations = 240

Hence, the number of possible combinations = 240

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Number of sugar cubes hold the sugar cube = 768÷1 = 768 unit

Surface area of the prism = 8×8 + 6×8 + 4×8 + 4×8 + 4×8 + 4×8 + 8×8+ 14×8 + 8×8 + 4×4 + 4×8 = 512 sqft  

Divide the base area of figure into three parts

Area of the 1st part = 8×6 = 48 sqft

Area of the 2nd part = 4×4 =  16 sqft

Area of the 3rd part = 4×8 =  32 sqft

Height of the prism is 8 ft

So the total volume of the prism ,

Volume = 8×( 6×8 + 4×4 + 4×8 )

            = 8×( 48 + 16 + 32 )

            = 8×96 = 768 cubic feet

1 feet side  sugar cube solid holds a volume = 1×1×1 = 1 cubic feet

Number of sugar cubes hold the solid prism = volume of prism / volume of sugar cube

Number of sugar cubes hold the sugar cube = 768÷1 = 768 unit.

Surface area of the prism =( lateral surface area) + (top surface area)

Lateral surface area =  8×8 + 6×8 + 4×8 + 4×8 + 4×8 + 4×8 + 8×8+ 14×8 = 416 sqft

Top surface area = 8×8 + 4×4 + 4×8 = 96 sqft

Surface area of the prism = 8×8 + 6×8 + 4×8 + 4×8 + 4×8 + 4×8 + 8×8+ 14×8  + 8×8 + 4×4 + 4×8 = 512 sqft

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