Find the smallest perimeter and the dimensions for a rectangle with an area of 169 in2. Question content area bottom Part 1 The smallest perimeter for a rectangle with an area of 169 in2 is enter your response here in.

Answer:

B

Step-by-step explanation:

when a square pyramid is cross sectioned the shape that will appear is the same as that of the base

The domain of the graph is the set of all real values

The domain is the set of x values of the graph

From the graph, the x values extend in both directions without end

This means that the x values can accommodate all real values

Hence, the domain of the graph is the set of all real values

Read more about domain at:

https://brainly.com/question/13113489

#SPJ1

The angle m∠ABC is 70 degrees.

The angle in a rhombus can be found as follows;

The opposite angle of a rhombus are congruent.

Therefore,

∠B = 140 degrees

Hence, the diagonal of a rhombus bisect an angle.

Therefore,

m∠ABC = 140 / 2

m∠ABC = 70 degrees.

learn more on rhombus here: https://brainly.com/question/11966028

#SPJ1

Answer:

14 3/8 ft^2

Step-by-step explanation:

Area = length * width

=   2 7/8 * 5

=  23/8 * 5

= 115/8

= 14 3/8 ft^2.

The probability that the cab was really yellow given that it was reported as being yellow is 0.32.

Given that there are 80% black taxis and 20% yellow taxis, witness is 80% accurate.

Probability is the chance of happening an event among all the events possible. It lies between 0 and 1. The value of probability can be calculated through the following formula:

Probability=Number of items/ total items.

Black taxis=80%

Yellow taxs=20%

Eyewitness is accurate=80%

Probability that the cab was really yellow=

P(X=Yellow)P(Witness is correct)+P(X=Black)P(Witness is incorrect)

Probability that car is black=0.8

Probability that car is yellow=0.2

Probability that witness is correct=0.8

Probability that witness is incorrect=1-0.8

=0.2

We have to just put the values in the formula given above.

Required probability=0.2*0.8+0.8*0.2

=0.16+0.16

=0.32

Hence the probability that the cab is really yellow is 0.32.

Learn more about probability at https://brainly.com/question/24756209

#SPJ4

Answer: Reflection across x=2.

Step-by-step explanation:

x=2 is the perpendicular bisector of segment UU'.

Answer:The radius is √16.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Expanding (x² − x + 2)(x − 1) we get [tex]x^{3} -x^{2} -x^{2} +x+2x-2[/tex]. When we simplify that, we get [tex]x^{3} -2x^{2} +3x-2[/tex] which fits the form Ax³ + Bx² + Cx + D.

We can see that A = 1, B = -2, C = 3, D = -2. Thus A + D = 1 - 2 = -1.

Therefore your answer is -1

Answer:

A + D = -1

Step-by-step explanation:

Given: (x² − x + 2)(x − 1) = Ax³ + Bx² + Cx + D

Step 1: Simplify using the Distributive Property.

[tex]\\\implies (x^2 - x + 2)(x - 1) \\\\\implies x(x^2 - x + 2) + -1(x^2 - x + 2)\\\\\implies x^3 - x^2 + 2x - x^2 + x - 2\\\\\implies \bold{1}x^3 -\bold{2}x^2 + \bold{3}x - \bold{2}[/tex]

Step 2: Determine the value of the coefficients.

[tex]\implies {\sf A} = 1, {\sf B} = -2, {\sf C} = 3, {\sf D} = -2[/tex]

Step 3: Find the value of A + D.

[tex]\implies {\sf A} + {\sf D} \Rightarrow 1 - 2 = \boxed{-1}[/tex]

Answer:

Step-by-step explanation:

y=2*|x-3|+2

y=|2*x-2*3|+2

y=|2x-6|+2

1)

y=2x-6

x | 2 | 3 |

y | -2| 0 |

2)

y=|2x-6|

3)

y=|2x-6|+2

y=2*|x-3|+2.

Answer:

x-intercept = 8

Step-by-step explanation:

Hello!

An x-intercept is when the y-value is 0, or when the graph intersects the x-axis.

We can replace p(x) with 0 and solve for x.

The x-intercept is 8.

Answer:

That is a variable.

Step-by-step explanation:

- opposed to a constant which is known and does not change.

Answer:

Step-by-step explanation:

8+6=14

14/30 = 7/15

So the final answer is 7/15

pls thank me pls :(

Answer:

#3

Step-by-step explanation:

To create a number line to represent x<= 0, draw a solid circle at 0 (because 0 is included), then draw an arrow extending to the left (because it's less than or equal to).

Answer:

279

Step-by-step explanation:

The area of the square base is 9² = 81.

The area of each triangular face is (1/2)(9)(11)=99/2.

So, the total surface area is 4(99/2)+81=279

Answer:

y = -1.5x + 3.5

Step-by-step explanation:

Slope intercept form is y=mx+b.

3x + 2y = 7

2y = -3x + 7

y = -1.5x + 3.5

Answer:

-3/2x+7/2=y

Step-by-step explanation:

Answer:

28.26658805 (I included every digit in case your teacher needs you to round)

Step-by-step explanation:

In order to find x, we need to isolate x by subtracting 15^2 and taking the square root of both sides.

Thus, we have:

[tex]15^2+x^2=32^2\\x^2=32^2-15^2\\\sqrt{x^2} =\sqrt{(32^2-15^2)} \\\sqrt{x^2}=\sqrt{799} \\x=28.26658805[/tex]

Answer:

Below in bold.

Step-by-step explanation:

P = 1.50(1.065)^t        where P = population in millions and t = no. of years.

So we have

2.31 = 1.50(1.065)^t

(1.065)^t = 2.31/1.50

Taking logs:

t log 1.065 = log (2.31/1/50)

t  =   log (2.31/1/50) / log 1.065

  =  6.856 years.

The product of a complex number and its conjugate is (a + i b) · (a - i b), where a and b are real numbers, and the result for the complex number 2 + i 3 is 13.

Let be a complex number a + i b, whose conjugate is a - i b. Where a and b are real numbers. The product of these two numbers is:

(a + i b) · (a - i b)

Then, we proceed to obtain the result by some algebraic handling:

a · (a + i b) + (- i b) · (a + i b)

a² + i a · b - i a · b - i² b²

a² - i² b²

a² + b²

If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:

[tex]z\cdot \bar z = 2^{2} + 3^{2}[/tex]

[tex]z\cdot \bar z = 13[/tex]

To learn more on complex numbers: https://brainly.com/question/10251853

#SPJ1

Whenever two or more lines intersect at a point, an angle is usually produced. And some of these angles formed may have common properties, and thus be congruent.

The appropriate reasons for the given statements in the question are given below:

         STATEMENT                                          REASON

1. <1 ≅ <2                                                Vertical Angle theorem

2. <1 and <2 are complementary            

   <2 and <3 are complementary        Congruent Complements Theorem

3. <1 and <2 are supplementary              

   <2 and <3  are supplementary        Congruent Supplements

4. <1 and <2 are right angles               All Right Angles are Congruent

5. <1 ≅ <2,

   <1 and <2    are supplementary         If two angles are congruent and

                                                               supplementary, then each angle is

                                                               a right angle.

For more clarifications on the properties of complementary and supplementary angles, visit: https://brainly.com/question/14941189

#SPJ1

Answer:

250,000 Meters

Step-by-step explanation:

1 Km = 1000 meters

250x1000= 250,000 meters

The confidence interval for the meannumber of dresses purchased each year is (7.2,7.4).

Given sample mean of 7.3 and sample standard deviation of 1.4 and confidence interval of 95%.

We have to find confidence interval for the mean number of dresses purchased each year.

Because the sample size is more than 30 so z test test will be used.

Margin of error is the difference in real values and calculated values.

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

where zis the criticalvalue of confidence level.

σ is sample standard deviation,

n is sample size.

z value for 95% confidence level=1.96

Margin of error=1.96*1.4/[tex]\sqrt{523}[/tex]

=2.744/22.869

=0.12

Upper level= Mean + margin of error

=7.3+0.12

=7.42

Rounding off

=7.4

Lower level=Mean - margin of error

=7.3-0.12

=7.18

Rounding

=7.1

Hence the confidence interval is (7.1,7.4).

Learn more about confidence interval at https://brainly.com/question/15712887

#SPJ4

Answer:

6

Step-by-step explanation:

Substituting in n = 2,

[tex]\frac{3(2)^{2}}{2}=6[/tex]

The option which makes more sense for Jake to choose is option (1) He can accept the tie, and the game is over.

The complete question is added as an attachment

From the complete question, the probability in part D is

Probability = 33.5%

The options to choose one from are:

The calculated probability is less than 0.5.

This means that Jake is more likely to lose than win

So, the best option for Jake is option (A) walk away

Hence, the option which makes more sense for Jake to choose is option (1) He can accept the tie, and the game is over.

Read more about probability at:

https://brainly.com/question/24756209

#SPJ1

Answer:

13500 ft²

Step-by-step explanation:

     We can find the width of the rectangle using Pythagorean theorem.

AD² + DC² = AC²

180² + DC²  = 195²

32400 + DC² = 38025

              DC² = 38025 - 32400

                     = 5625

               DC = √5625

                      = 75 ft

length = 75 ft

Width = 180 ft

[tex]\sf \boxed{\text{\bf Area of rectangle = length * width}}[/tex]

                                 =  75 * 180

                                  = 13500 ft²

The answer is k = 7.

As the graph has been shifted down 7 units, the translation can be represented as :

g(x) = f(x) - 7

(0.5)x - k = (0.5)x - 7

k = 7

If a car manufacturer purchases new labour saving technology for its assembly line then we would not expect the production to be declined,wastage of time and money.

Given that a car manufacturer purchases a new labour saving technology.

We have to write the expectation that the car manufacturer would not make after buying such a technology.

We know that improvement of technology means abolition old technology and adoption of new and improved technology.

The advantages of new technology is:

1) It provides a competitive advantage over the competitor,

2) It increases the production,

3) It saves cost of the company,

4) It saves time also.

If a car manufacturer purchases new labour saving technology for its assembly line then he would not expect the production to be declined, wastage of time and money.

Learn more about technology at https://brainly.com/question/25110079

#SPJ4

The coordinates of the polygon A'B'C'D' following a reflection across the x-axis and a translation 2 units up are;

The vertices of the polygon are;

A(1, 1), B(2, 3), C(3, 2), and D(2, 1)

Reflection over the x-axis gives;

(x, y) reflection across the x-axis → (x, -y)

Which gives;

A(1, 1) R x-axis → A''(1, -1)

B(2, 3) R x-axis → B''(2, -3)

C(3, 2) R x-axis → C''(3, -2)

D(2, 1) R x-axis → D''(2, -1)

Translation of the points ABCD 2 units up gives;

A''(1, -1) T(0, 2) → A'(1, -1 + 2) = A'(1, 1)

B''(2, -3) T(0, 2) → B'(2, -3 + 2) = B'(2, -1)

C''(3, -2) T(0, 2) → C'(3, -2 + 2) = C'(3, 0)

D''(2, -1) T(0, 2) → D'(2, -1 + 2) = D'(2, 1)

The coordinates of A'B'C'D' are therefore;

Learn more about reflection and translation transformations here:

https://brainly.com/question/17174293

https://brainly.com/question/1616371

https://brainly.com/question/21951019

#SPJ1

The time, date and the day when the journey finished is 2:30 pm on Thursday 9th January

68 hours = 68/24

= 2 days and 20 hours

6;30 pm on Monday 6th January + 2 days and 20 hours

= 2:30 pm on Thursday 9th January

Learn more about time:

https://brainly.com/question/25800303

#SPJ1

Answer: [tex]3x^6[/tex]

Step-by-step explanation:

Each side of an equilateral triangle has the same side length, so the length of each side of the triangle is [tex]\frac{9x^{6}}{3}=\boxed{3x^{6}}[/tex].