The length of a rectangle is 2.3 inches more than the width. Find the dimensions of the
rectangle if the perimeter is 28.6 inches. Show work.

Answer:

5 is our hypotenuse

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

c is our hypotenuse

[tex]3^{2} + 4^{2} = c^2[/tex]

[tex]9 + 16 = 25[/tex]

[tex]25 = c^{2}[/tex]

c = 5

5 is our hypotenuse

Answer:

x = 5

Step-by-step explanation:

[tex]c=\sqrt{a^2+b^2} \\a= \sqrt{3^2+4^2} \\c=\sqrt{9+16} \\c= \sqrt{25} \\c= 5[/tex]

Answer:

y= -x -3

Step-by-step explanation:

A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).

Let's find the slope of the line segment.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope of line segment

[tex] = \frac{4 - ( - 8)}{5 - ( - 7)} [/tex]

[tex] = \frac{4 + 8}{5 + 7} [/tex]

[tex] = \frac{12}{12} [/tex]

= 1

The product of the slopes of 2 perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

m(1)= -1

m= -1

y= -x +c

To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.

Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.

[tex]\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}[/tex]

Midpoint of line segment

[tex] = ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )[/tex]

[tex] = ( \frac{ - 2}{2} , \frac{ - 4}{2} )[/tex]

= (-1, -2)

y= -x +c

When x= -1, y= -2,

-2= -(-1) +c

-2= 1 +c

c= -2 -1

c= -3

Thus, the equation of the perpendicular bisector is y= -x -3.

Answer:

  x > 23/6

Step-by-step explanation:

Solve this one the same way you would a 2-step linear equation.

  6x +3 > 26 . . . . . given

  6x > 23 . . . . . . . . subtract the unwanted constant from both sides (step 1)

  x > 23/6 . . . . . . . .divide both sides by the coefficient of x (step 2)

__

Additional comment

If the coefficient of the variable in a 2-step linear inequality is negative, then the inequality symbol must be reversed when dividing by that negative number.

Answer:

should be 3

Step-by-step explanation:

hope you get a good grade

Using the z-distribution, it is found that the p-value is of 0.0192.

At the null hypothesis, it is tested if commercial trucks owners do not violate laws requiring front license plates at a higher rate than owners of passenger cars, that is, the subtraction is of at most 0, hence:

[tex]H_0: p_2 - p_1 \leq 0[/tex]

At the alternative hypothesis, it is tested if commercial truck owners violate the laws more, that is, the subtraction is positive, hence:

[tex]H_1: p_2 - p_1 > 0[/tex]

For each sample, the size, the proportion and the standard error are given by:

[tex]n_1 = 2165, p_1 = \frac{235}{2165} = 0.1085, s_1 = \sqrt{\frac{0.1085(0.8915)}{2165}} = 0.0067[/tex]

[tex]n_2 = 330, p_1 = \frac{50}{330} = 0.1515, s_1 = \sqrt{\frac{0.1515(0.8485)}{330}} = 0.0197[/tex]

For the distribution of differences, the mean and the standard error are given by:

[tex]\overline{p} = p_2 - p_1 = 0.1515 - 0.1085 = 0.043[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0067^2 + 0.0197^2} = 0.0208[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.043 - 0}{0.0208}[/tex]

[tex]z = 2.07[/tex]

The p-value is found using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is more than a value, with z = 2.07.

A similar problem is given at https://brainly.com/question/15545277

Answer:

C

Step-by-step explanation:

the angle opposite of it is 30

you search the LCD then you subtracted the top and left the bottom the same

Step-by-step explanation:

im not sure

Answer:111.94

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

25% = 25/100 = 25 ÷ 100 = 0.25.

100% = 100/100 = 100 ÷ 100 = 1.

New value =

149.25 - Percentage decrease =

149.25 - (25% × 149.25) =

149.25 - 25% × 149.25 =

(1 - 25%) × 149.25 =

(100% - 25%) × 149.25 =

75% × 149.25 =

75 ÷ 100 × 149.25 =

75 × 149.25 ÷ 100 =

11,193.75 ÷ 100 =

111.9375 ≈

111.94

The population of the bacteria after 8 hours is 1639 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 500 bacteria, hence

a = 500

The bacteria grow at a rate of 16% per hour, hence:

b = 100% + 16% = 1.16

The exponential equation becomes:

y = 500(1.16)ˣ

After 8 hours:

y = 500(1.16)⁸ = 1639

The population of the bacteria after 8 hours is 1639 bacteria.

Find out more at: https://brainly.com/question/12490064

Answer:

x^3 - (√3)^3

I'm not so sure since it's not even an option

Step-by-step explanation:

13 cuz add 4 days then friday so 4×3 which is 12 and 12-25 so ye its 13

Answer:

C)

Step-by-step explanation:

Because Its equivalent

Answer:

40 feet

Step-by-step explanation:

on edge

Answer: 7,820

Sorry I have no help :(

Answer:

5/9 yards

Step-by-step explanation:

[tex] \frac{5}{3} \div \frac{3}{1} \\ = \frac{5}{3} \times \frac{1}{3} \\ = \frac{5}{9} [/tex]

Answer:

Step-by-step explanation:

The Mega Clean mixture with 3 1/2 per gallon has more cleaner in it. The first mixture has .75 oz per quart. The second mixture has .875 oz per qt.

HOPE THAT HELP YOU

Answer:

1/24, 1/16, 1/12, 1/10, 1/8, 1/6, 1/4, 1/3, 1/2

Step-by-step explanation:

If you have this many fractions and they all have the same numerator, then the smallest number will have the biggest denominator and the biggest number will have the smallest.

So when you have all numbers with the same numerator and you're trying to put them in order from smallest to greatest, it's like putting the denominators in order from largest to smallest. (So, the 1/24 is the SMALLEST and the 1/2 is the BIGGEST.

Answer:

Let the youth and adult tickets be y and x respectively.

6y + 5x ---> (1)

From statement (1):

(1) × 14

84y + 70x

For every 70 adult tickets sold, 84 youth tickets were sold.

Total number of tickets sold= 70 + 84

                                              = 154

[tex]-5x -16 = 8x -1\\\\\implies 8x +5x = -16 +1 \\\\\implies 13x = -15\\\\\implies x = -\dfrac{15}{13}[/tex]

Answer:

4.87lbs

Step-by-step explanation:

82.16-77.29=4.87

if you want it a a whole number, it would be for every 34$ 85 bucks for jimmy .

Answer:

Unknown

Step-by-step explanation:

What is the question? You have the information listed but you forgot to ask the question.

Answer:

Monica is not correct.

Step-by-step explanation:

First of all, if 4 bottles only cost $4, then how would only 2 cost more? (She said the two bottles would be $25, which doesn’t make sense.)

Answer:

Answer:

16

Step-by-step explanation:

3×2-2×-5=

6-(-10)=

6+10=

16

Answer:

6543/100

Step-by-step explanation:

Multiply both numerator and denominator by 10 for every number after the decimal point

65.43 × 100

1 × 100

=

6543

100

Answer:

(2 x^2 z^13)/(z^8 y^5)

Hope This Helps!!!

Answer:

2xz⁵/y⁴

Step-by-step explanation:

16/8 = 2

x²/x = x

y/y⁵ = y⁻⁴

z¹³/z⁸ = z⁵