which of the triangles has segments that form a point called the incenter

Answer:

The width is 5m and the length is 10m.

Step-by-step explanation:

Rectangle:

Has two dimensions: Width(w) and length(l).

It's area is:

\(A = w*l\)

The length of a rectangle is 5m less than three times the width

This means that \(l = 3w - 5\)

The area of the rectangle is 50m^(2)

This means that \(A = 50\). So

\(A = w*l\)

\(50 = w*(3w - 5)\)

\(3w^{2} - 5w - 50 = 0\)

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}\)

\(\bigtriangleup = b^{2} - 4ac\)

In this question:

\(3w^{2} - 5w - 50 = 0\)

So

\(a = 3, b = -5, c = -50\)

\(\bigtriangleup = (-5)^{2} - 4*3*(-50) = 625\)

\(w_{1} = \frac{-(-5) + \sqrt{625}}{2*3} = 5\)

\(w_{2} = \frac{-(-5) - \sqrt{625}}{2*3} = -3.33\)

Dimension must be positive result, so

The width is 5m(in meters because the area is in square meters).

Length:

\(l = 3w - 5 = 3*5 - 5 = 10\)

The length is 10 meters

Answer:

whichever one also says -x

Step-by-step explanation:

parallel lines have the same slope

Asymptotes are important when explaining the graph of a rational function because they show the behavior of the function as x approaches certain values.

A vertical asymptote of a function occurs when the function approaches infinity or negative infinity as the input (x) approaches a certain value. In this case, the function f(x) = 4/(x-3) + 2 has a vertical asymptote at x = 3, because as x approaches 3, the denominator of the fraction (x-3) approaches zero and the function becomes infinitely large. Graphically, the vertical asymptote appears as a line on the x-axis where the function does not approach, but never touches.

Asymptotes are important when explaining the graph of a rational function because they show the behavior of the function as x approaches certain values. This helps us understand how the function behaves in different parts of the graph.

Horizontal shift is the movement of the graph to the left or right. The horizontal shift of this function is none, as the parent function is f(x) = 4/(x) + 2.

Vertical shift is the movement of the graph up or down. The vertical shift of this function is 2 units up, as the parent function is f(x) = 4/(x) + 2.

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Answer:

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

Step-by-step explanation:

Step(i):-

Given that the mean of the sample = $81 k

Given that the size of the sample 'n' = 23

Given that the standard deviation for the salaries is $13 k

Step(ii):-

98% of the confidence interval for the true average salary of Knirhsdaeh employees is determined by

\((x^{-} - t_{0.02} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S.D}{\sqrt{n} })\)

Degrees of freedom = n-1 = 23-1 =22

\(t_{0.02} = 2.5083\)

\((81 - 2.0583 \frac{13}{\sqrt{23} } , 81 + 2.0583 \frac{13}{\sqrt{23} } )\)

( 81 - 5.57940 , 81 + 5.57940)

(75.4206, 86.5794)

Final answer:-

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

The roots of the given polynomial x³ - 52x² + 581x - k are distinct prime numbers represents that value of k is equal to 602.

Let p, q, and r be the three distinct prime roots of the polynomial,

x³ - 52x² + 581x - k.

By Vieta's formulas, we know that,

p + q + r = 52

pq + qr + rp = 581

pqr = k

Use the fact that p, q, and r are prime numbers to simplify the problem.

Since 581 is an odd number,

One of the primes must be 2.

Assume that p = 2.

Then we have,

q + r = 50

2q + 2r + qr = 581

2qr = k

Solving the first equation for q, we get q = 50 - r.

Substituting this into the second equation, we get,

2(50 - r) + 2r + 2r(50 - r) = 581

⇒ 100 - 2r + 2r + 100r - 2r² = 581

⇒ 2r² - 100r + 481 = 0

Using the quadratic formula, solve for r,

r = (-b ± √(b² - 4ac)) / (2a)

here,

a = 2, b = -100, and c = 481

Substitute the value we get,

r = (-(-100) ± √((-100)² - 4(2)(481))) / (2(2))

⇒ r = (100 ± √(10000 - 3848)) / 4

r = (100 ± √6152) / 4

r ≈ 44.6 or r ≈ 5.4

q and r must be a prime number,

Consider

r = 7 and q = 43.

or r = 43 and q = 7

This implies,

k

= pqr

= (2)(7)(43)

= 602

Therefore, from the roots of the polynomial the value of k is 602.

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The above question is incomplete, the complete question is:

The roots of the polynomial x³ -52x² + 581x - k are distinct prime numbers. find k.

4.) The statement that is not true about the cube box is that the volume of the box is one square foot. That is option C.

5.) All the possible dimensions of the bottom layers include the following;

when length= 4 units; width = 3units

when length = 3 units; width = 4 units

when length = 2 units; width = 6 units

To calculate the volume of a cube box the formula that should be used = a³

where a = 1³

volume = (1×1×1) = 1ft³

The area of the cube = 6(a²)

But a = 1

area = 6(1²)

= 6ft²

Therefore the wrong statement is that the volume of the box is one square foot instead of 1ft³.

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Answer:

1.74533

Step-by-step explanation:

The equation to determine the number of miles, m, you must run per day is B. 5m + 5.6 = 20; m = 2.88

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. An equation is not the same as a mathematical expression. The equal (=) operator is always used to join two mathematical expressions in an equation.

In mathematics, an equation is a relationship between two expressions that is expressed as an equality on either side of the equal to sign. An equation would be 3y = 16, for instance. Equations can be categorized into one of the following three categories depending on their degree:

In this scenario, the person must run a total of 20 miles per week and ran 5.6 miles in the first two days of the week.

Let the number of miles for the remaining 5 days be m.

This will be:

5m + 5.6 = 20;

Solving for m = will give 2.88.

In conclusion, the correct option is B.

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Answer:

Step-by-step explanation:

We can find the missing angles using the drawing below.

Then,

Therefore

25)

Arc JML covers an angle equal to 65+55+60=180; thus, ArcJML is a semicircle of R.

27)

Answer:

80°

Step-by-step explanation:

sides of angle =180°

y= 180-(45+55) = 80°

x=y because x is vertically opposite to y

therefore x =80°

The percentage of drivers who are at least 45 is 62%

From the question, we have the following parameters that can be used in our computation:

The table of values

From the table, we have

Age 45 = 62 percentile

When represented properly

So, we have

Age 45 = 62%

This means that the percentage of drivers who are at least 45 is 62%

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Answer:

  {1, 2, 3, 4, 5, 7}

Step-by-step explanation:

x in B or C is ...

  B ∪ C = {1, 2, 3, 4, 5, 7}

Answer:

≈ 78mi^2

Step-by-step explanation:

To find approximate land area:

296,550/3,800 = 78.039

Round to nearest whole number:

Area = 78

Answer:

y=-1x-6

Step-by-step explanation:

the slope is -1

use y=mx+b

Plug  the point into y=mx+b, -7=-1(1)+b

-7=-1+b

add 1 both sides the y- intercept is b=-6

Absolute value: C

Quadratic: D

Constant: A

Square root: E

Linear: B

There are the equations for the graphs on the bottom:

y=2 is constant because the y value never changes

y=x is linear because the y value changes at a constant rate

y= |x| is absolute value because |x| is the absolute value of x

y=x^2 is quadratic because quadratic functions have a degree of 2

y=sqrt(x) is a square root because y= square root of x

The triangles are similar by SSS congruence of triangles.

What is SSS congruence of triangles?

The two triangles are congruent if the three sides of one triangle are the same as the corresponding three sides (SSS) of the other triangle.

We are given two triangle ABC and PQR.

In order to see whether these are similar or not, we will use the SSS congruence of triangles.

The ratio of sides are:

⇒AB : PQ = 8 : 6

⇒AB : PQ = 4 : 3

Similarly,

⇒BC : QR = 12 : 9

⇒BC : QR = 4 : 3

Similarly,

⇒AC : PR = 12 : 9

⇒AC : PR = 4 : 3

Since, the ratio of all the sides is same so, the triangles are similar.

Hence, the triangles are similar by SSS congruence of triangles.

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Since, there are multiple questions so, the question answered above is attached below

Answer:

Whats the question ???

Step-by-step explanation:

What do you need help with?

Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.

The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.

The point where the graph crosses the y-axis is called the y-intercept, or c.

Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x

OR

y₁/x₁ = y₂/x₂

In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,

1 1/4 gallons of water are required.

The proportional formula is written as y = k x.

Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.

1.25 gallon of water is required for 6 scoops.

This means that k = 2/0.5

k = 2/(1/2)

k = 2 x 2

k= 4

Equations describing the relationship can be expressed as y = 4x + c.

0.5 gallon of water is now required for 2 scoops.

2=4(1/2)+c

2=2+c

c=0

Therefore, the formula will be y = 4x.

The end includes a graph for y = 4x.

12 scoops of water:

12=4x

x=3 gallons of water is needed.

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Answer: (4, 6)

Step-by-step explanation:

You change the numbers places (x to y and y to x) while switching the sign of the original y value.

Answer:

Irina drive 200 miles slower than Alberts rate

Step-by-step explanation:

Answer:

8x=10

Step-by-step explanation:

hope helps

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

24 days

Step-by-step explanation:

Milk: 6, 12, 18, 24, 30

Cereal: 8, 16, 24

You can see that 24 matches up with both cycle.

Answer:

The answers is below in bold.

Step-by-step explanation:

(a) A = 180 - 25.6 - 124.4 = 30 degrees.

Next use the Sine Rule:

b / sin B = c / sin C

b / sin 25.6 = 39.2/sin 124.4

b = (39.2 * sin 25.6) / sin 124.4

b = 20.53 m.

Also

a / sin A = c / sin C

a / sin 30 = 39.2 / sin 124.4

a =  (39.2 * sin 30 / sin 124.4

a = 23.75 m.

b). This is solved in a similar way to (a).

First find angle C  using the sine rule.

Then you will know angle A  from the 180 degree Rule.

Then you can find the length of  a using the Sine Rule.

Solution

For this case we have the following lunch boxes

12 from superhero

19 from outer space

26 from rock bands

A total of: 12+19+26= 57 lunch boxes

And he gave to his cousin 17 lunch boxes so then the remaining are:

57-17= 40 lunch boxes

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

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The correct statement is Option - B →

The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.

A mathematical argument is a sequence of statements and reasons given with the aim of demonstrating that a claim is true or false.

Given is that Bob is 13 feet tall. So, Bob is taller than most other people.

The correct statement is -

The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.

Therefore, the correct statement is Option - B →

The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.

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