Help me with this question please!

Answer:

-------------------------

According to the given we can state:

Find arc AB, it is a semicircle of 1 cm radius:

ΔAEO and ΔBEO are both isosceles, hence ∠A and ∠B are both 45°.

Find arcs ABD and BAC:

∠AEB is a right angle since ∠AEO and ∠BEO are both 45°.

Hence ∠CED is also right angle as vertical angle with ∠AEB.

Find the length of EC and ED.

We know AD = BC = 2 cm and ΔAEO is 45° right triangle.

It gives us:

Then:

Find arc ECD:

The perimeter is the sum of all the arc measures:

Answer:

[tex]\textsf{Perimeter}=3\pi-\dfrac{\pi}{\sqrt{2}}=7.20333649...\; \sf cm[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.4 cm}\underline{Arc length}\\\\Arc length $=r \theta$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in radians.\\\end{minipage}}[/tex]

To convert degrees to radians, multiply the angle in degrees by π/180°.

Arc AB

As arc AB has center O, the radius of arc AB is OA = 1 cm.

As AB is a straight line, ∠AOB is 180° = π.

Therefore, the length of arc AB is:

[tex]\implies AB=r \:\theta=1 \cdot \pi = \pi[/tex]

Arc AC

Triangle BOE is a right triangle with base of 1 cm and height of 1 cm.

Therefore, ∠OBE is 45° = π/4

If arc AC has center B, then the radius is AB = 2 cm.

Therefore, the length of arc AC is:

[tex]\implies AC=r \:\theta=2 \cdot \dfrac{\pi}{4} = \dfrac{\pi}{2}[/tex]

Arc BD

Arc BD is the same as arc AC.

[tex]\implies BC= \dfrac{\pi}{2}[/tex]

Arc CD

As triangle BOE is a right triangle with base of 1 cm and height of 1 cm, the length of its hypotenuse BE is:

[tex]\implies BE=\sqrt{1^2+1^2}=\sqrt{2}[/tex]

As arc AC has center B and radius of AB = 2 cm, then BC is also its radius and therefore BC = 2 cm

Therefore:

[tex]\implies CE=BC-BE[/tex]

[tex]\implies CE=2-\sqrt{2}[/tex]

The arc CD has center E so its radius is CE = 2-√2.

As ∠BEO and ∠AEO are both 45° then ∠AEB is 90°.

According to the vertical angle theorem, ∠CED is also 90° = π/2.

Therefore, the length of arc CD is:

[tex]\implies CD=r \:\theta=(2-\sqrt{2}) \cdot \dfrac{\pi}{2} = \dfrac{(2-\sqrt{2})\pi}{2}[/tex]

Perimeter of the egg

The perimeter of the egg is the sum of the found arcs:

[tex]\implies \textsf{Perimeter}=AB+AC+BD+CD[/tex]

[tex]\implies \textsf{Perimeter}=\pi+\dfrac{\pi}{2}+\dfrac{\pi}{2}+\dfrac{(2-\sqrt{2})\pi}{2}[/tex]

[tex]\implies \textsf{Perimeter}=2\pi+\dfrac{(2-\sqrt{2})\pi}{2}[/tex]

[tex]\implies \textsf{Perimeter}=2\pi+\dfrac{2 \pi}{2}-\dfrac{\sqrt{2}\:\pi}{2}[/tex]

[tex]\implies \textsf{Perimeter}=3\pi-\dfrac{\sqrt{2}\:\pi}{2}[/tex]

[tex]\implies \textsf{Perimeter}=3\pi-\dfrac{\pi}{\sqrt{2}}[/tex]

[tex]\implies \textsf{Perimeter}=7.20333649...\; \sf cm[/tex]

Answer:

Step-by-step explanation:

Sanjay is making two pumpkin pies for Thanksgiving, one to share with his family and one to share with his friends. He adds the same amount of cinnamon to both pies, but he adds more pumpkin puree to the pie he will share with his friends. Which pie will have a stronger cinnamon flavor?

"The pie he will give to his parents"

More pumpkin flavor less cinnamon flavor

The value 2(-7) is interpreted that a location that is twice as far below sea level as the dolphin. Option A is the correct option.

What is the meaning of interpretation?

Elucidate, explain, explicate, and expound are some synonyms for interpret. While all of these words mean "to make something clear or understandable," interpretation adds to explain why dealing with something requires imagination, sympathy, or special knowledge.

Given that sea level is defined as having an elevation of 0. A dolphin is 7 meters below sea level.

If the level is below sea level, then it can represent by a negative number.

The statement "A dolphin is 7 meters below sea level." can be written as:

A dolphin is -7 meters far from sea level.

Thus 2(-7) represents a location that is 7 meters below the dolphin's position.

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Resizing or changing an object is the process of dilation. Through the use of the specified scale factor, it is a transformation that reduces or enlarges the objects.

P(1,3) → P' (3,9) (3,9)

Q(3,1) → Q' (9,3) (9,3)

R(1,1) → R' (3,3) (3,3).

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The new equation is y=-1/2x+5.  An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.

Our first line in this equation is y=2x-1. By applying the equation y=mx+b, where "m" stands for the slope, we can see that our "m" in this instance is 2. then negate 2. It turns into -2.

Change the denominator and numerator after that. Since -2 is actually -2/1, let's change it to -1/2. The perpendicular line's slope is that.

We must now make it pass through (-2,6). We just have a line like this to work with at the moment: y=-1/2x

Plugging in the x-coordinate of our target location, -2, yields y=-1/2(-2), or 1. But hold on, because the y-coordinate we were given is 6, shouldn't y be equal to 6 as well? Yes! The only thing left to do is to add 5 to get from 1 to 6!

The complete question  is,

Write an equation for a line perpendicular to y = 2 x − 1 and passing through the point (-2,6)

Write an equation for a line perpendicular to y=2x−1 and passing through the point (-2,6)

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Answer:

Step-by-step explanation:

The balance of an account after a year, when the interest rate is 3% per year and there are no additional withdrawals or deposits, can be represented by the formula:

Balance = Principal + Interest

where Principal is the initial amount of money invested (m) and Interest is the interest earned on that amount for the year.

Interest is calculated as the product of the principal, the interest rate, and the time period. In this case, the interest rate is 3% (or 0.03), and the time period is one year. Therefore the Interest can be represented by the following expression:

Interest = Principal * Interest Rate * Time

Substituting the given values:

Interest = m * 0.03 * 1

So the expression that represents Arianys balance after a year is:

Balance = m + (m*0.03)

= m + 0.03m

= 1.03m

This expression represents her balance after a year, assuming she makes no additional withdrawals or deposits.

if im not wrong

4+3(2x+2) multiply since its in parenthesis first

property of mulitplication i think

4+6x+6

property of addition

6x+10

(this should be right)

The average pay for an entry-level technician position is $15.6375.

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean

The formula for the mean of a given set of data is as follows:

Average = Sum of Observations/Total number of observations

Σx = 15.50 + 16.85 + 14.25 + 15.95 = 62.55

Here n = 4

⇒ Average = Σx/n

⇒ Average = 62.55/4

Apply the division operation, and we get

⇒ Average = 15.6375

Thus, the average pay is $15.6375.

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The area of triangle MNB, MNC and ABC 6 in.², 60 in.², and 30 in.² respectively

The ratio of the base of the triangles ΔMNB and ΔCBM, that shares a common vertex, is the ratio of their areas.

M is the midpoint of side AB in ΔABC

NB:CB = 1:5

Area of ΔCAM = 30 in.²

The area of ΔMNB and ΔABC

Area = 1/2 * base * height

Height of ΔCAM = Height of ΔCBM = Altitude of point C above line AB

MA = MB by definition of midpoint

MA is the base of ΔCAM, and MB is the base of ΔCBM

Therefore; Area of ΔCAM = 1/2 AM * Height of ΔCAM

= 1/2 * AM* height of ΔCAM

Which gives;

Area of ΔCAM = Area of ΔCBM = 30 in.²

Area of ΔABC = Area of ΔCAM + Area of ΔCBM = 30 + 30 = 60

Area of ΔABC = 60 in.²

Taking CB as the base of ΔCBM, we have;

Height of ΔMNB = Height of ΔCBM from line CB

Base length of ΔCBM = 5 × Base length of ΔMNB

Therefore; Area of ΔMNB = 30/5 = 6 in²

Area of ΔCBM = 30 in.² = 5 × The area of ΔMNB

Conclusively, the Area of ΔMNB = 6 in.²

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Correct question:

In a triangle ABC, M is the mid point of the side AB and N is the mid point of the side AC.  Find the lenght of the segment MN if AB =18, BC = 10 and AC = 20

The measure of the apothem is 1.75cm.

What is a regular octagon?

Eight equal sides and eight equal angles make up a normal octagon. Each side is the same length, and each angle is the same size. The total interior and external angles are 1080° and 360°, respectively. The inner angle at each vertex of a regular octagon is 135°.

Here, we have

Given: The area of the regular octagon is 10.15 cm².

We have to find the measure of the apothem.

The octagon can be divided into 8 congruent (identical) isosceles triangles. One of them is AOB.

Area (triangle AOB) = 10.15/8 = 1.27cm².

Area(triangle AOB) is also 1/2*MO*AB

 1.27 =  1/2*MO*1.45

MO = 1.75cm

Hence, the measure of the apothem is 1.75cm.

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The sketch for slope is attached below.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Point               Slopes

(1, 1)                     (a) 3

_                        (b) -3

_                        (c) -5/2

_                         (d) Undefined

a) Now, using slope intercept form

y - 1= 3 (x-1)

y- 1= 3x- 3

y= 3x - 2

(b) Equation of a line has a slope -3 is given by

y - 1= (-3) (x-1)

y-1 = 3- 3x

y = -3x + 4

(c) Equation of a line has a slope -5/2 is given by

y - 1= (-5/2) (x-1)

y-1 = -5/2x + 5/2

y= -5/2x + 7/2

(d) The line parallel to y axis and passes through given point : x=1

"undefined" means the line is vertical.

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The given expression can be as 2 + i as a complex number standard form.

The combination of a number and an imaginary number is a complex number. Complex numbers are symbolized by the symbol z and have the form a + ib. a and b are said to be real numbers.

The imaginary portion of the complex number can be represented by the letter i called the iota.  

Here i² = -1

Here we have

 [tex]\frac{4 +\sqrt{16 - 4(5)}}{2}[/tex]    

The above expression can be simplified as follows

=>  [tex]\frac{4 +\sqrt{16 - 20}}{2}[/tex]  

=>  [tex]\frac{4 +\sqrt{- 4}}{2}[/tex]    

As we know, [tex]i^{2} = -1[/tex]  

=>  [tex]\frac{4 +\sqrt{i^{2} (2)^{2} }}{2}[/tex]  

=> [tex]\frac{4+2i}{2}[/tex]  

=> [tex]\frac{2(2+i)}{2}[/tex]  

= 2 + i  

Therefore,

The given expression can be as 2 + i as a complex number standard form.

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Answer:

A way for one of the toddler triplets to end up with their coat is if the other two toddler triplets each get one another coat.

making it a 33% chance of one of the toddler triplets to end up with their own coat.

100% divided by 3 = 0.33

The p-value for right tailed test based on the information will be 0.2147.

The p-value, under the assumption that the null hypothesis is true, is the likelihood of obtaining results from a statistical hypothesis test that are at least as extreme as the observed results. The p-value provides the smallest level of significance at which the null hypothesis would be rejected as an alternative to rejection points. The alternative hypothesis is more likely to be supported by stronger evidence when the p-value is lower.

In this case, the survey was done to test the claim that 20% of adult Americans believe that the lottery is the path to riches. The hypothesis test of H0: p=.2 versus Ha: p>.2 resulted in 0.79 for a right-tailed test

The Z statistic given to be =0.79 for a right tailed test. Here, by looking aththe distribution table, the p value for Z=0.79 for one tail test is 0.2147.

So, we do not reject null hypothesis and then conclude that data does not provide sufficient evidence that the proportion of Americans who believe path to riches is the lottery is greater than 0.2

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Answer: To solve the inequality x^2 - 8x + 15 < 0, we first want to find the critical points, which are the points where the quadratic function changes direction (from increasing to decreasing or vice versa). To find the critical points, we need to set the quadratic equal to zero and solve for x. In this case, we have:

x^2 - 8x + 15 = 0

To solve this equation we should factor it or use the quadratic formula.

(x - 5)(x - 3) = 0

x = 5, x = 3

This means that the critical points for the inequality are x = 5 and x = 3. To find the solution set of the inequality, we test the signs of the function at the critical points and in the intervals between them.

The solution of the inequality is x < 3 or x > 5.

Step-by-step explanation:

Answer:

00088n886668hb76u8y687440

The factors of a fraction 3 1/2 is 3/2.

Generally, A divisor of an integer n, also known as a factor of n, is an integer m that can be multiplied by another number to generate n. Another name for this concept is a factor of n. One may also state that n is a multiple of m in this particular scenario.

Since 3/2 is a fraction, it does not have any factors since factors are integers that may evenly divide a number. Since 3/2 is a fraction, it does not have any factors. Only integers are capable of having factors; fractions are unable to do so.

To find the factors of a fraction, you can factor the numerator and denominator separately.

In the case of 3 1/2, the numerator 3 is a prime number and cannot be factored further.

However, the denominator 2 can be factored as 2 x 1.

Therefore, the factors of 3 1/2 are: (3 x 1) / (2 x 1),

which can be simplified to 3/2.

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Answer:

n = 4

Step-by-step explanation:

We are given the equation 7n - 2 = 5n + 6, ans we want to solve it for n.

To do this, we need to isolate n one one side.

Let's start by adding 2 to both sides.

7n - 2 = 5n + 6

   +2           +2

_______________

7n = 5n + 8

Now, subtract 5n from both sides.

7n = 5n + 8

-5n   -5n

_______________

2n = 8

Divide both sides by 8 to get the value of n.

2n = 8

÷2   ÷2

________

n = 4

Answer:

Step-by-step explanation:

Answer:

162 miles.

Step-by-step explanation:

To find the total distance Nicole cycled, we can multiply the number of laps by the length of each lap.

The total distance Nicole cycled is:

9 laps * 9540 ft/lap = 858,600 ft

To convert this distance to miles, we can use the conversion factor that there are 5280 feet in a mile.

858,600 ft / 5280 ft/mile = 162 miles

So the total distance Nicole cycled is 162 miles.

Answer:

12

Let X be the unknown number we are supposed to find.

Given information from the question, we can form up an equation:

2X + 7 = 3X - 5

3X - 2X = 7 + 5

X = 12

Therefore the unknown number is 12

The use of internal rhyme affect the poem by: C. It helps create and maintain the poem's playful tone

Internal rhyme tend to occurs when words that are in the same line of a poem rhyme with one another.

The use of internal rhyme can tend to  add  more musical quality to a poem and it as well help to create cohesion within a line or stanza. Internal rhyme also help to a sense of playfulness in the poem.

Therefore we can conclude that the correct option is C.

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Answer:

Step-by-step explanation:

The perimeter of a polygon is the sum of the lengths of all its sides. To find the perimeter of MNPQ, we need to add up the lengths of MN, NP, PQ and PM.

Given that:

MW=-2+37 = 35

QP= y+14

NP= x-5

MN=4y+5

The perimeter can be calculated by adding up the above expressions:

Perimeter = MN + NP + QP + MW

= (4y + 5) + (x - 5) + (y + 14) + 35

= 4y + x + y + 54

= (4y + y) + (x + 54)

= 5y + x + 54

So the perimeter of MNPQ is 5y + x + 54 units.

Answer: $34.25

Step-by-step explanation:

Answer:

(x+1)(x-2)

Step-by-step explanation:

[tex](x+1)(x-2)=x^{2} -x-2[/tex]

Hope this helps

Answer:

see explanation

Step-by-step explanation:

[tex]\frac{5}{x}[/tex] - [tex]\frac{2}{x^2}[/tex] = 2

multiply through by x² ( x ≠ 0 ) to clear the fractions

5x - 2 = 2x² , that is

2x² = 5x - 2 ( subtract 5x - 2 from both sides )

2x² - 5x + 2 = 0 ← in standard form

(2x - 1)(x - 2) = 0 ← in factored form

equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

x - 2 = 0 ⇒ x = 2

since x₁ < x₂ , then

x₁ = [tex]\frac{1}{2}[/tex] and x₂ = 2

Then

3x₁ + x₂

= 3 × [tex]\frac{1}{2}[/tex] + 2

= [tex]\frac{3}{2}[/tex] + 2

= [tex]\frac{3}{2}[/tex] + [tex]\frac{4}{2}[/tex]

= [tex]\frac{7}{2}[/tex]

Answer:

Step-by-step explanation:

36 percent can be written as 36/100. So now the question is 36/100 x 28.

Its easier if you simplify 100 and 28 by a common factor, which im going to use 4 for. So instead you get 36/25 x 7.

36x7=252

252/25=10.08

Answer:

46.08

Step-by-step explanation:

Remember that a percent is always a fraction out of 100, in this case 36/100, so it can also be written as a decimal number, in this case 0.36. Now all you need to do is multiply 128*0.36

I think it is the third answer.

Because your problem says 'no more than' so it can't be the fourth one,because it has '≤' which means that the number is lower or equal.

So it is the third one.

Hope I helped you!

Answer:

x=-3

Step-by-step explanation:

I showed my work in the picture

Answer:

[tex]\boxed{\sf x=-3}[/tex]

Step-by-step explanation:

[tex]\sf -2x+1=3x+16[/tex]

Subtract 3x from both sides:-

[tex]\sf -2x+1-3x=3x+16-3x[/tex]

[tex]\sf -5x+1=16[/tex]

Subtract 1 from both sides:-

[tex]\sf -5x+1-1=16-1[/tex]

[tex]\sf -5x=15[/tex]

Divide both sides by -5:-

[tex]\sf \cfrac{-5x}{-5}=\cfrac{15}{-5}[/tex]

[tex]\sf x=-3[/tex]

Therefore, x = -3!

______________________

Hope this helps!

Have a great day!

Answer:

Step-by-step explanation:

What are the possible combinations of three-digit numbers that could add up to a four-digit number?

There are many possible combinations of three-digit numbers that can add up to a four-digit number. Here are some examples:

1. 100 + 900 = 1000

2. 200 + 800 = 1000

3. 300 + 700 = 1000

4. 400 + 600 = 1000

5. 500 + 500 = 1000

6. 600 + 400 = 1000

7. 700 + 300 = 1000

8. 800 + 200 = 1000

9. 900 + 100 = 1000

10. 111 + 889 = 1000

11. 222 + 778 = 1000

12. 333 + 667 = 1000

13. 444 + 556 = 1000

14. 555 + 445 = 1000

15. 666 + 334 = 1000

16. 777 + 223 = 1000

17. 888 + 112 = 1000

18. 999 + 001 = 1000

19. 123 + 877 = 1000

20. 234 + 766 = 1000