A rectangle has a length of 2x+3 and a width of 10x-4. Find the perimeter and area of the figure

Answer:

≈ 5.4 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (2, 6)

d = [tex]\sqrt{(2+3)^2+(6-4)^2}[/tex]

   = [tex]\sqrt{5^2+2^2}[/tex]

   = [tex]\sqrt{25+4}[/tex]

   = [tex]\sqrt{29}[/tex]

   ≈ 5.4 ( to 1 dec. place )

At the 95% confidence level, the margin of error for this survey, expressed as a proportion, is approximately 0.0288.

To calculate the margin of error for a survey expressed as a proportion, we need to use the formula:

Margin of Error = Critical Value [tex]\times[/tex] Standard Error

First, let's find the critical value.

For a 95% confidence level, we can refer to the standard normal distribution (Z-distribution) and find the z-value associated with a 95% confidence level.

The critical value for a 95% confidence level is approximately 1.96.

Next, we need to calculate the standard error.

The standard error for a proportion can be computed using the formula:

Standard Error [tex]= \sqrt{((p \times (1 - p)) / n)}[/tex]

Where:

p = proportion of respondents in favor of the plan

n = sample size

In this case, the proportion in favor of the plan is 37/185 = 0.2 (rounded to the nearest thousandth).

The sample size is 185.

Now we can calculate the standard error:

Standard Error [tex]= \sqrt{((0.2 \times (1 - 0.2)) / 185)}[/tex]

Simplifying further:

Standard Error ≈ [tex]\sqrt{((0.04) / 185)}[/tex]

Standard Error ≈ [tex]\sqrt{(0.0002162)}[/tex]

Standard Error ≈ 0.0147 (rounded to the nearest thousandth)

Finally, we can calculate the margin of error:

Margin of Error = 1.96 [tex]\times[/tex] 0.0147

Margin of Error ≈ 0.0288 (rounded to the nearest thousandth)

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The volume of the rectangular prism is 4180in^3.

"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".

For the given situation,

Length of the rectangular prism = 19 in

Width of the rectangular prism = 20 in

Height of the rectangular prism = 11 in

The formula for volume of the rectangular prism,

[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]

On substituting the values,

⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]

⇒[tex]V=4180[/tex]

Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].

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Answer:

1) because they are vertical angles

2) because SAS

3)  CPCTC

4) Converse of the Alternate Interior Angles

Answer:

There are 24 different trip possibilities.

Step-by-step explanation:

Here the first thing we need to find is all the individual events, such that each event (or selection) will have a given number of options.

The first event is the selection of the location.

Here the options are: Phoenix, Las Vegas, San Diego, or Los Angeles (4 options)

The second event is the selection of how you go there.

The options are flying or driving (2 options)

The third event is the selection of how many days you will stay there. The options are 3 days, 4 days, and 5 days (3 options).

The total number of different trip possibilities is equal to the product between the number of options for each event.

P = 4*2*3 = 24

There are 24 different trip possibilities.

Answer:

Line I:y=5

Line m:y=_2×+5

Line n:y=×-1

Line p:×=_5

Step-by-step explanation:

Hope It Help

Brainliest Please

Answer:

2/3 + 1/2 = 1.16666666667

therefore the answer is 1.58333333333

Answer:

Step-by-step explanation:

tanα=h/d, where α=angle of elevation, h=height, d=horizontal distance.

d=h/tanα, we are given that h=4ft and α=4.76° so

d=4/tan4.76° ft

d≈48.04 ft  (to nearest hundredth of a foot)

Answer:

Car A speed = 80 m/s

Car B speed = 60 m/s

Step-by-step explanation:

Let Speed of Car A be represented as x

Let Speed of Car B be represented as y

Let z represent the distance that Car A travels until it catches up to Car B

Since it takes 14 hours for Car B to cover the distance z,

Solving Equation 1 and Equation 2, we get:

Answer:

Car A speed = 80 km/h

Car B speed = 60 km/h

Step-by-step explanation:

Answer:

Step-by-step explanation:

Unless we set x^2 + 8x + 15 equal to zero, we don't have an equation to be solved.  I will assume that the problem is actually x^2 + 8x + 15 = 0.

The coefficients of this quadratic are {1, 8, 15}, and so the "discriminant" b^2 - 4ac is (8)^2 - 4(1)(15), or 4.  Because the discriminant is positive, we know that there are two real, unequal roots.

Continuing with the quadratic formula and knowing that the discriminant is 4, we get:

      -8 ± √4           -8 ± 2

x = ---------------- = --------------- , or x = -2 ± 1:  x = -3 and x = -5

          2                       2

Answer:

d= (-11-2)^2 + (-12--12)^2

d= (-13)^2 + (0)^2

d=169

square root the 169

answer is 13

that's the distance from (2, -12) (-11, -12)

hope that helps

Step-by-step explanation:

The distance between the points A ( 2 , -12 ) and B ( -11 , -12 ) is 13 units

What is the distance of a line between 2 points?

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

[tex]Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

Given data ,

Let the distance between the two points be = D

Let the first point be represented as = A

The value of A = A ( 2 , -12 )

The second point be represented as = B

The value of B = B ( -11 , -12 )

Now , the distance between the points A and B is given by the equation of distance formula

[tex]Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

Substituting the values in the equation , we get

[tex]Distance D = \sqrt{(-12-(-12)^{2} + (2-(-11))^{2} }[/tex]

On simplifying the equation , we get

[tex]Distance D = \sqrt{(0 + (2+11))^{2} }[/tex]

[tex]Distance D = \sqrt{(13)^{2} }[/tex]

[tex]Distance D = 13[/tex]

Therefore , the value of D is 13

Hence ,

The distance between the points A ( 2 , -12 ) and B ( -11 , -12 ) is 13 units

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Answer: 250

Step-by-step explanation:

Given

12% of the Pizzas had extra cheese

If those pizzas were 30 in number

Suppose, x be the total Pizzas

So, 12% of x is 30

[tex]\Rightarrow x\times \dfrac{12}{100}=30\\\\\Rightarrow x=250[/tex]

Thus, 250 Pizzas were maid last week

Answer:

=225

Step-by-step explanation:

The value of x² - 2xy + y² would be; 225

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

we are given that (x-y)=15

The identity (x + y)² - (x - y)² = 4xy.

(x + y)²= (x² + 2xy + y²)

we have been asked to find x² - 2xy + y²

x² - 2xy + y² = (x - y)²

x² - 2xy + y² = 15²

x² - 2xy + y² = 225

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Answer:

75

Step-by-step explanation:

did it 5 mins ago

Answer:

Approximately 1553.83

Answer:

Leo: 3n Dimes

Leo: 72 Dimes

Stacy: 72/3 Dimes

Stacy: 24 Dimes

Answer: gggggg
g the sum of values are 1

Step-by-step explanation: 8-7=1

The factorized form of the expression is A = ( x - 7 ) ( x + 8 ) and sum of the values in the blanks should be 1

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the expression be represented as A

Now , the value of A is

A = x² + x - 56

On factorizing the equation , we get

A = x² + 8x - 7x - 56

8x - 7x = 1

So , A = ( x - 7 ) ( x + 8 )

Hence , the expression is A = ( x - 7 ) ( x + 8 )

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Answer:

21.4

Step-by-step explanation:

13^2 + 17^2 = c^2

169 + 289 = c^2

458 = c^2

The square root of 458 is 21.4.

Answer:

photo isn't clear, first of all u have to click clear picture

Im so sorry i don't know.

Answer:

32 km/ hr

Step-by-step explanation:

Given that :

Speed of car = 24km/ hr

Time taken =. 80 minutes = 80 / 60 = 1.33333 hours

The distance traveled :

Speed * time

24 km/hr * 1.333333 = 32 km

Speed required to complete 32 km. Journey in 60 minutes = 1 hour

Speed = distance / time

Speed = 32 km / 1 hour

Speed = 32 km/ hr

Answer:

B. Strong negative association

Step-by-step explanation:

It's a negative because the slope is going from left to right downwards

Answer:

the first answer

Step-by-step explanation:

1/8 of the absolute value is 1/8 positive

anything from the absolute value is positive because absolute value is the value of how far away the number is from zero.

Answer:

-1/8

Step-by-step explanation: