Which point is located at (1, 2)?
5
A
4
3
2
1
-5-4-3-2
4
9
-2
3
-4
45
D
ОВ

The ratio of the length of BC to the length of DE is 1/2.

Arc length is defined as the distance between any two points on a section of a circle or curve.

The figure in the question is given below.

The formula to find the length of an arc is given as,

Arc length, l = rθ, where r is the radius and θ is the central angle in radians.

Given that,

Central angle for arc BC, θ = 1.18 radians.

Radius for arc BC, r = AC = AB

Arc length of BC = rθ

                            = 1.18 (AB)

Central angle for arc DE, θ = 1.18 + 2.36 = 3.54 radians

Radius for arc DE, r = AE = AD = 2/3 AB

Arc length of DE = rθ

                            = 3.54 × (2/3) AB

                            = 2.36 (AB)

Arc length of BC / Arc length of DE = 1.18 (AB) / 2.36 (AB) = 1/2

Hence the ratio of BC to DE is 1/2.

Learn more about Arc Length here :

https://brainly.com/question/16403495

#SPJ1

Answer:

DE: 3/4

Step-by-step explanation:

PlatoGang

Answer:

\(x^{4}-17x^{2} +16\) = (x -1)(x + 1)(x - 4)(x + 4)

Step-by-step explanation:

At first, let us find the first two factors of \(x^{4}-17x^{2} +16\)

∵ The sign of the last term is positive

∴ The middle signs of the two factors are the same

∵ The sign of the middle term is negative

∴ The middle signs of the two factors are negative

∵ \(x^{4}\) = x² × x² ⇒ first terms of the two factors

∵ 16 = -1 × -16 ⇒ second terms of the two factors

∵ x²(-1) + x²(-16) = -x² + -16x² = -17x² ⇒ the value of the middle term

∴ (x² - 1) and (x² - 16) are the factors of \(x^{4}-17x^{2} +16\)

Now let us factorize each factor

→ The factors of the binomial a² - b² (difference of two squares) are

   (a - b) and (a + b)

∵ x² - 1 is the difference of two squares

∴ Its factors are (x - 1) and (x + 1)

∵ x² - 16 is the difference of two squares

∴ Its factors are (x - 4) and (x + 4)

∵ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of (x² - 1) and (x² - 16)

∵ (x² - 1) and (x² - 16) are the factors of \(x^{4}-17x^{2} +16\)

∴ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of \(x^{4}-17x^{2} +16\)

∴  \(x^{4}-17x^{2} +16\) = (x -1)(x + 1)(x - 4)(x + 4)

Factoring an expression involves rewriting the expression in simpler forms

The factorized expression is (x - 4)(x + 4)(x - 1)(x + 1)

The expression is given as:

\(\mathbf{x^4 - 17x^2 + 16}\)

Express 17 as 1 + 16

\(\mathbf{x^4 - 17x^2 + 16 = x^4 - x^2 - 16x^2 + 16}\)

Factorize

\(\mathbf{x^4 - 17x^2 + 16 = x^2(x^2 - 1) - 16(x^2 - 1)}\)

Factor out x^2 - 1

\(\mathbf{x^4 - 17x^2 + 16 =(x^2 - 16)(x^2 - 1)}\)

Express 16 as 4^2, and 1 as 1^2

\(\mathbf{x^4 - 17x^2 + 16 =(x^2 - 4^2)(x^2 - 1^2)}\)

Apply difference of two squares

\(\mathbf{x^4 - 17x^2 + 16 =(x - 4)(x + 4)(x - 1)(x + 1)}\)

Hence, the factorized expression is (x - 4)(x + 4)(x - 1)(x + 1)

Read more about factoring expressions at:

https://brainly.com/question/19386208

In this scenario, the order of selection does not matter. Thus, we would apply the method of combination. The combination formula for calculating the number of ways of selecting r items from n items is expressed as

nCr = n!/(n - r)!r!

From the information given,

n = 38

r = 5

Thus,

38C5 = 38!/(38 - 5)!/5!

= 38!/33!5!

= 501942

501942 different simple random samples of size 5 can be obtained from a population whose size is 38

The number of months Mark can have the phone is given by the equation

A = 11.4 months

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of months be represented as = A

Now , the equation is

Now , the total amount with Mark = $ 146.43

The initial amount for the smartphone = $ 33

The amount per month for 2GB is = $ 9.95

So , the amount for A months = $ 9.95 ( A )

So , the equation will be

Initial amount for the smartphone + the amount for A months = total amount with Mark

Substituting the values in the equation , we get

33 + 9.95 ( A ) = 146.43   be equation (1)

On simplifying the equation , we get

Subtracting 33 on both sides of the equation , we get

9.95 ( A ) = 113.43

Divide by 9.95 on both sides of the equation , we get

A = 11.4 months

Therefore , the value of A is 11.4 months

Hence , the number of months is 11.4 months

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

1024

Step-by-step explanation:

4(x-y)^8

Substitute the variables with the numbers

4 ( -2 - -4)^8

Solve what’s in the parentheses first

4 (2)^8

Exponent

4(256)

Solve

1024

Your answer would be 1024

I hope it helps!

Muffin<3

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

To learn more about factorise here,

https://brainly.com/question/10718512

https://brainly.com/question/24734894

Answer:

B) 4,700

Step-by-step explanation:

6000 - 4000 = 2000

2000 in 15 year, find how much for each year

2000/ 15 = 133.3333333

133.3333333 estimated = 133

133 approximately for each year

1975 to 1980 is five years

133 x 5 = 665

4000 + 665 = 4665

4665 rounded the the nearest hundred

4700

Answer:

65 packets and 4 stamps

Step-by-step explanation:

The first thing we see is that the stamps are mixed... which means they must be added.

208 + 186 = 394 stamps total

Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.

394/6= 65.66667

Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.

Now we find the number of stamps left over by multiplying the number of packets by 6.

65 x 6= 390

Now we take the total number of stamps minus the number of stamps in packets.

394 - 390 = 4

Therefore, there are four stamps left over.

Hope this helps!

Answer:

\(Probability = 0.467\)

Step-by-step explanation:

Given

\(Odds = 7 : 8\)

Required

Determine the probability of A winning

From the giving parameters,

7 represents A winning while 8 represents B winning.

The probability is calculated as thus:

\(Probability = \frac{A}{A + B}\)

\(Probability = \frac{7}{7 + 8}\)

\(Probability = \frac{7}{15}\)

\(Probability = 0.467\)

Hence, the probability if A winning is

\(Probability = 0.467\)

The surface area of the rectangular prism in this problem is given as follows:

A. 426 m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas. -> net method.

The dimensions for this problem are given as follows:

5 m, 12 m and 9 m.

Hence the surface area of the prism is given as follows:

S = 2(5 x 12 + 5 x 9 + 12 x 9)

S = 426 m².

More can be learned about the surface area of a rectangular prism at https://brainly.com/question/1310421

#SPJ1

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Question:

Which two integers are 7 units away from the number 0 an a number line ?

Answer:

-7 and 7

The value of the car after 3 years is $79, 000

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

Learn more about depreciation at: https://brainly.com/question/1203926

#SPJ1

Step-by-step explanation:

The slope of the line passing through the given points is equal to -5/7.

A slope is also known as gradient and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.

Mathematically, the slope of any straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Substituting the given points into the formula, we have;

Slope = (-1 - 4)/(4 - (-3))

Slope = -5/(4 + 3)

Slope = -5/7

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:

x = 2.8

Step-by-step explanation:

sin = opp/hyp

hyp = opp/sin

x = 2.4/sin60

x = 2.771281292110204

rounded

x = 2.8

Answer:

i d k im uesless

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

21x6=126

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

For more such questions on interest rates, click on:

https://brainly.com/question/25720319

#SPJ8

Answer:

See below (answers are in bold)

Step-by-step explanation:

Left rectangle:

P=2L+2W

P=2(n+0.6)+2(n)

P=2n+1.2+2n

P=4n+1.2

Right rectangle:

P=2L+2W

P=2(2n)+2(n+0.1)

P=4n+2n+0.2

P=6n+0.2

Answer:

12cm

Step-by-step explanation:

This is a problem which can be solved with the pythagoras therom.

\(a^{2} +b^{2} =c^{2}\)

Plus we can split this triangle into two triangles.

The split triangle has dimensions of 13(bc) by 5 cm(dc).\(a^{2} +b^{2} =c^{2}\)

\(5^{2} +b^{2} =13^{2}\)

Now we solve for b which is the lenght of bd

\(25 +b^{2} =169\)

\(b^{2} =144\)

\(b = \sqrt{144}\)

\(b = 12\)

Therefore the lenght of bd is 12cm

Hope this helps! :)

Answer:

x=5/8

Step-by-step explanation:

The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

To learn more about quotient

https://brainly.com/question/15305334

#SPJ1

The given relationship is called "segment addition postulate".

The points lying on the same segment are called collinear points.

Given that, For any two points A and B on a line, there is another point C between A and B if and only if A, B, and C are collinear and AC + CB = AB

The relationship shown here is "segment addition postulate".

Segment addition postulate:-

According to segment addition postulate,

The length of the whole segment is equal to the sum of the lengths of all the parts of the segment.

Hence, This relationship is called the segment addition postulate.

For more references on collinear points, click;

https://brainly.com/question/1593959

#SPJ1

Answer:

$375 375

Step-by-step explanation:

1250 x 7.5% =93.75

93.75 x 4 =

If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

Learn more about arc at https://brainly.com/question/2005046

#SPJ1

The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

To know more about cylinders visit:

brainly.com/question/15891031

#SPJ1

Answer:

Step-by-step explanation:

\(Sushil: Alex: Peter\\\:3\:\:\:\:\:\:\: \:\:\:\::\:\:2\:\:\:\:\::\:5\\\\Sushil = 24 \:sweets\)

Let the total number of sweets be x

\(3+2+5 =10\\\\=\frac{3}{10} \times x =24\\\\\frac{3x}{10} =\frac{24}{1} \\\\Cross\:Multiply\\\\3x\times 1 = 24\times 10\\\\3x = 240\)

Divide both sides of the equation by 3

\(\frac{3x}{3} = \frac{240}{3} \\\\x =80\:sweets\)

Answer:

Step-by-step explanation:

8weeeks bc 22.50*8=180

The list of values that completes the given function table are respectively; 0, 8, 12, 12.5, 12, 8, 0

We are given the quadratic equation as;

y = -2x² + 6x + 8

When x = -1, we will substitute -1 for x into the given equation to get;

y = -2(-1)² + 6(-1) + 8

y = -2 - 6 + 8

y = 0

When x = 0, we will substitute 0 for x to get;

y = -2(0)² + 6(0) + 8

y = 8

When x = 1, will substitute 1 for x to get;

y = -2(1)² + 6(1) + 8

y = -2 + 14

y = 12

When x = 1.5, will substitute 1.5 for x to get;

y = -2(1.5)² + 6(1.5) + 8

y = -4.5 + 9 + 8

y = 12.5

When x = 2, will substitute 2 for x to get;

y = -2(2)² + 6(2) + 8

y = -8 + 12 + 8

y = 12

When x = 3, will substitute 3 for x to get;

y = -2(3)² + 6(3) + 8

y = -18 + 18 + 8

y = 8

When x = 4, we will substitute 4 for x to get;

y = -2(4)² + 6(4) + 8

y = -32 + 24 + 8

y = 0

Read more about Function table at; https://brainly.com/question/20053217

#SPJ1