A rectangle has sides measuring (6x + 4) units and (2x + 11) units.

Part A: What is the expression that represents the area of the rectangle? Show your work.

Part B: What are the degree and classification of the expression obtained in Part A?

Part C: How does Part A demonstrate the closure property for polynomials?

The annual premium result in an annual out-of-pocket expense that is about the same as her current plan is $0.28 per $100 of value.

Insurance premiums are paid for policies that cover all the basic needs such as healthcare, home, and life insurance.

We are given Amount of insurance policy for Stephanie = $ 355,000

Annual premium = $ 0.42 per $100

Deductible amount = $ 500

Total Annual out of pocket expense

= [($355,000/100) x $0.42] + $500

= $1,991  

Now, the New Deductible amount that Stephanie wants is $ 1000

So, Let the annual premium be x

To find the annual premium in an annual out-of-pocket expense that is about the same as her current plan when the deductible amount increases to $1000

355,000x / 100 + 1000 = 1991

3550x + 1000 = 1991

3550x = 1991 - 1000

3550x = 991

x = 991/3550

x = 0.279≈0.28

Hence the annual premium result in an annual out-of-pocket expense that is about the same as her current plan is $0.28 per $100 of value.

Learn more about Insurance premiums ;

https://brainly.com/question/13724529

Answer: 12

Step-by-step explanation:

Because a translation is a rigid motion, we know that YZ corresponds to GH (and they will have the same length).

Now, we can the fact that EFGH is a rectangle to obtain that EF=GH=12 (since opposite sides of a rectangle are congruent)

Hence, YZ=12.

Answer:

84 inches

Step-by-step explanation:

It is the perimeter.

Koda needs 84 inches of ribbon to put it around the edge of the board.

A classroom board is 24 inches wide and 18 inches tall, Koda s putting ribbon along the outside edge of the board.

Perimeter is the measure of the figure on its circumference.

Here,
length = 24 inch
width = 18 inch
The perimeter of the board, = 2 {length  + width]
                                             = 2 [24 + 18]

                                             = 84

Thus, Koda needs 84 inches of ribbon to put it around the edge of the board.

Learn more about perimeter here:

brainly.com/question/6465134

#SPJ2

Answer:

$ 42 436

Step-by-step explanation:

3% = .03

40 000 ( 1 + .03)^2  = 42436

[tex]Answer ☘️[/tex]

★ Important points to know

[tex] {\boxed{ \bold{Exterior \: Angle \: Theorem : - }}}[/tex]

★ Let's solve :-

[tex] \sf ↪\angle \: 65 \degree + \angle \: 30 \degree =\angle \:B\\ \\ \sf ↪\angle \: 95 \degree = \angle \:B[/tex]

Hence option A 95⁰ is the right ans ✓

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

[tex]\sf\large \green{\underbrace{\red{Answer⋆}}}:[/tex]

To find :-

The angle ∠ABC = ?

Given :-

∠BCD = 65°

∠BDC = 30°

Solution :-

Firstly we have to find ∠CBD, with the help of ∠CBD, we will able to find ∠ABC.

To find ∠CBD, we will use angle sum formula

(=> The sum of angles of all 3 sides of triangle is equal to 180°).

∠CBD + ∠BCD + ∠BDC = 180° (angle sum property)

∠CBD + 65° + 30° = 180°

∠CBD + 95° = 180°

∠CBD = 180° - 95°

∠CBD = 85°

Now we have ∠CBD, and in the diagram ∠CBD and ∠ABD lies on the same line but it is seperated by line BC, it means they are linear pair and the sum of both angles (∠CBD and ∠ABC) is equal to 180°.

∠ABC + ∠CBD = 180° (linear pair)

∠ABC + 85° = 180°

∠ABC = 180° - 85°

∠ABC = 95°

Result :-

The ∠ABC is 95° by using the above method.

Choose the first option

(A) 95°

The proportionality shows the relation between two values.  The value of the constant of variation is 5.

The proportionality shows the relation between two values.

As given in the question the quantity q varies inversely with the square of m and directly with the product of r and x. Therefore, the proportionality can be written as,

[tex]q \propto \dfrac{rx}{m^2}[/tex]

Now to remove the proportionality add a constant to the equation which is the constant of variation.

[tex]q =k\dfrac{rx}{m^2}[/tex]

When m is 4 and the product of r and x is 8 then the value of q is 2.5. Therefore, the value of k can be written as,

[tex]q =k\dfrac{rx}{m^2}\\\\2.5 = k\dfrac{8}{4^2}\\\\\dfrac{2.5 \times 16}{8}=k\\\\k=5[/tex]

Thus, the value of the constant of variation is 5.

Learn more about Proportionality:

https://brainly.com/question/8598338

Answer:

$30

Step-by-step explanation:

if something is 50% off that is the same as saying half off.

so you simply do 60 divided by 2 and you get 30

Answer:

$30

Step-by-step explanation:

You get this anaswer by multiplying 60 (the cost of the suitcase) by 0.50 (50 percent as a decimal) and get 30 then subtract 30 by 30 to get the total cost.

Answer:

it's a that's the answer

Answer:

The value of x is equal to 30.

Step-by-step explanation:

Let's define what are 2 equations are:

Since we are dealing with a straight line, the line's angle will always equal 180°.

Since the 2 angles must add up to 180°, then they must be supplementary angles.

We can set up our equation to solve for x:

This equation states that the 2 angles, given in formulas, must be equal to the angle of the line.

We can now solve this equation and get a value of x:

∴ we have found the value of x to be equal to 30.

Hope this helps!

Answer:

measure of angle C = 18°

c = 2.47

a = 7.61

Step-by-step explanation:

Make sure your calculator is in degree mode.

Angle A measures 72°, so angle C measures 18° (Angles A and C are complementary angles, so their sum is 90°).

[tex] \sin(18) = \frac{c}{8} [/tex]

[tex]c = 8 \sin(18) = 2.47[/tex]

[tex]a = 8 \cos(18) = 7.61[/tex]

Answer:

80 degrees

Step-by-step explanation:

The three angles of the triangle must sum to 180 degrees

70 + 30 + x = 180

x = 180 -70-30 = 80

Answer:

Heavenly,  we need the forumula for the area of a triangle, do you know it?

Step-by-step explanation:

Area of a triangle is (1/2 ) * B*H

where B = base

H = height

then

A = 1/2* B * H

A is given to be 20

B = b

H = b+4

plug all those into the formula,

20 = (1/2)*b*(b+4)

use your algebra skillz  :P

20 = 1/2 *( [tex]b^{2}[/tex] + 4b)

20*2 = [tex]b^{2}[/tex] + 4b

40 = [tex]b^{2}[/tex] + 4b

0 = [tex]b^{2}[/tex] + 4b-40

rewrite the above so it's in x format

[tex]x^{2}[/tex] + 4x -40 = 0

use the quadratic formula to find  x  , and for our problem, remember that x represents the base,  or b,  but don't mix it up with the b in the quadatic fomula,  with the b of the triangle, which is the base,  they are differnt "b"s   :P

X = (b±[tex]\sqrt{b^{2}-4*a*c }[/tex] ) / 2*a

a = 1

b = 4

c = -40

x = (4±[tex]\sqrt{4^{2}-4*1*(-40) }[/tex]  ) /2*1

x = ( 4±[tex]\sqrt{16+160}[/tex] ) / 2

x = (4±[tex]\sqrt{176}[/tex] ) / 2

x = (4±13.266499)/2

x= 2±6.633249

x = 2 + 6.633249 = 8.633

b= 8.633 cm

Answer:

A. The amount of money you have at the end of the statement period

Step-by-step explanation:

A "closing balance" is the The amount of money you have at the end of the statement period

987

2 sf of 987

( to find 2sf just round of if the previous digit is 5 or more)

2 sf= 990

Answer:

990

Step-by-step explanation:

Answer:

1/32

Step-by-step explanation:

We can break this question down. If we had 1 person and they are right-handed, the probability is 1/2 because they are either left-handed or right-handed. Knowing that, we can multiply the probability of having 1 person being right-handed 5 times because there are 5 people in the question.

1/2 × 1/2 × 1/2 × 1/2 × 1/2 = 1/(2⁵) = 1/32

Therefore, the probability of randomly selecting 5 people who are right-handed is 1/32.

I hope this helps and please mark me as brainliest!

Answer:

x + 5y = 30

x + 5(0) = 30

x1 = 30    y1 = 0

x + 5y = 30

1(0) + 5y = 30

y2 = 6    x2 = 0

(x1,y1) and (x2,y2)

(30,0) and (0,6)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

x^2 -8x=0

rewrite in this form and add 16 to both sides:

x² + 2(- 4)x + 16 = 0 + 16

(x - 4)² = 16 ( take square root of both sides )

x - 4 = ±  4

x =  4 ± 4

x=8 , x= 0

Answer:

$0.80

Step-by-step explanation:

Find the unit rate

1 apple costs ?

1.20/6 = cost of 1 apple

1 apple = $0.20

4 apples = $0.20 * 4

4 apples = $0.80

Answer: a= -18

              b= -28 inches      c=30 pounds

Step-by-step explanation:

The trinomial, 3x² + 13x – 10, when factored will give you: (3x + 10)(x - 1).

To factor a trinomial, we need to find two factors that would give us the exact trinomial when expanded.

Given, 3x² + 13x – 10:

3x² -3x + 10x - 10

(3x² - 3x) + (10x - 10 )

3x(x - 1) +10(x - 1)

(3x + 10)(x - 1)

Learn more about factoring trinomial on:

https://brainly.com/question/545911

#SPJ1

The number of laps around the lake did Heather run last week when the Ken ran 10 laps around the lake is 20/3.

Fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here (a) is the numerator and (b) is the denominator.

Last week, Ken ran 10 laps around the lake. Heather ran 2/3 as many laps around the lake as Ken did. Thus, the number of laps heather ran is,

[tex]x=\dfrac{2}{3}\times10\\x=\dfrac{20}{3}[/tex]

Hence, the number of laps around the lake did Heather run last week when the Ken ran 10 laps around the lake is 20/3.

Learn more about the fraction number here:

https://brainly.com/question/78672

#SPJ1

The term used to describe the process of assigning values to responses in a research instrument and grouping them is called: coding.

In data analysis, before raw data can be processed, the researcher groups and assigns values to each response in the research instrument for easy collation and analysis.

This is referred to as coding, in research analysis.

Learn more about coding on:

https://brainly.com/question/1376295

Answer:

step 1

Find the average growth per year of the populations of rabbits farm A

Over the first 2 years

for t=0

numbers of rabbits=5 (is not exact)

for t=2

numbers of rabbits=40

average=[40-5]/2---------> 17.5

step 2

Find the average growth per year of the populations of rabbits farm B

Over the first 2 years

for t=0

numbers of rabbits=5 (is not exact)

for t=2

numbers of rabbits=30

average=[30-5]/2---------> 12.5

step 3

Compare the average growth per year of the populations of rabbits on both farms

farm A=17.5

farm B=12.5

the average rate of population growth of rabbits in farm A is greater than average rate of population growth of rabbits in farm B by about 5 rabbits per year.

therefore

the answer is the option C)

the average rate of population growth of rabbits in farm A is greater than average rate of population growth of rabbits in farm B by about 6 rabbits per year.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Square objects have four sides of equal length

so the perimeter of the drawing will be   4 * 2.5 = 10 inches

  area of drawing = 2.5 x 2.5 = 6.25 in^2

the actual object will have side lengths

       2.5 in  / 1 inch/ 5mm = 12.5 mm

   four sides each 12. 5 mm = 50 mm

      area of object = 12.5 x 12.5 = 156.25 mm^2

Answer:

v=3,m=2

Step-by-step explanation:

You can find the complete solution in given attachment

I hope it helped you

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When the x goes up 1, the y multiplies by 4. This graph would be a curve.

Hope that helps

Answer:

80m

Step-by-step explanation:

Pythageoreum Theorum since it is a right triangle.

a^2 + b^2 = c^2

60^2 + b^2 = 100^2

3600 + b^2 = 10,000

-3600              -3,600

b^2 = 6,400

Square root both sides of the equation

b = [tex]\sqrt{6400}[/tex]

[tex]\sqrt{6400}[/tex] = 80

The length of side a is 80 m

Answer:

x=11.1

Step-by-step explanation:

we can use the sine function: (opposite/hypotenuse)

sin(46)=8/x

x=8/(sin46)

11.1