Sally and Suzie both agree that m∠A + m∠B = 180⁰.

Sally claims ∠A and ∠B are supplementary.

Suzie claims ∠A and ∠B are not supplementary because they are not adjacent.

Who is correct?

Answer:

The area is 56.7 square inches

Step-by-step explanation:

Given

See attachment for corner shelf

Required

The area

The corner shelf is a quadrant with radius;

[tex]r = 8.5in[/tex]

The area of a quadrant is:

[tex]Area = \frac{\pi r^2}{4}[/tex]

So, the area of the corner shelf is:

[tex]Area = \frac{\pi * 8.5^2}{4}[/tex]

[tex]Area = \frac{\pi * 72.25}{4}[/tex]

[tex]Area = \pi * 18.0625[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]Area = 3.14 * 18.0625[/tex]

[tex]Area = 56.7[/tex] -- approximated

Answer:

48,000

Step-by-step explanation:

SOLUTION: Each cubic foot holds 7.5 gallons of water. So, the amount of water required to fill the pool is 6400(7.5) = 48,000.

Answer:

I think it is D.

Step-by-step explanation:

It is a guess, but I am not fully sure.

If correct, may I have a brainliest?

                      XxRoadToAcexX

Answer:

D) 17.51

Step-by-step explanation:

D) 17.51

Question Completion:

The Worthington family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilities totaling $108,000. They need a loan from the bank and to qualify for the loan, they must have a net worth of $100,000.  They will incur additional $7,000 in liabilities.

Answer:

1. The Worthington Family's net worth is:

= $79,000.

2. No. They will not qualify for the loan, as their net worth fell short of the requirement by $21,000.

Step-by-step explanation:

a) Data and Calculations:

Worthington Family's net worth:

Liquid assets =                      $10,000

Use assets =                         150,000

Investment assets =              34,000

Total assets =                    $194,000

Liabilities =                            115,000

Net worth =                         $79,000

Required net worth =       $100,000

Shortfall in net worth =      $21,000

b) The Worthington Family's net worth is the difference between their assets (the things that they own) and their liabilities (the things that they owe others).  It is an important financial metric for calibrating the family's financial health.  Computing it provides a useful snapshot of the family's current financial position.  Financial institutions and other potential creditors use it to gauge if they might extend some credit facilities to the Worthington family.

Answer:

D

Step-by-step explanation:

Have a Nice Day

Answer:

(x^2 - 2)(y^3 - 2)

Step-by-step explanation:

I got it right on Iready

Answer:

x = 4.47 or 2√5

Step-by-step explanation:

x² = 20

x = √20 = 4.47 or 2√5

Answer:

x = 2√5 or 4.472135955

Answer:

The number of checks processed at a bank in a day is categorical data.

Step-by-step explanation:

In Mathematics, a categorical data can be defined as a statistical data type that is used to group informations having the same attributes or characteristics. Some examples of a categorical data are age, gender, race, religion etc.

A numerical data can be defined as a data set that is expressed in numbers only or a data set consisting of numbers rather than words. A numerical data is also known as a quantitative data.

Basically, numerical data are classified into two (2) main categories and these are;

1. Discrete data: a discrete data is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.

2. Continuous data: a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.

Hence, the number of checks processed at a bank in a day is discrete data.

Answer:

y = 2x+4

Step-by-step explanation:

When we substitute the value of x in y =2x+4. The output of function is exactly like in the table shown.

x = 1 —> y = 2(1)+4 = 6

x = 3 —> y = 2(3)+4 = 10

x = 5 —> y = 2(5)+4 = 14

x = 7 —> y = 2(7)+4 = 18

x = 9 —> y = 2(9)+4 = 22

Since the output is exactly like in the table. Therefore, y = 2x+4 represents the following table.

Answer:

2

use y2 - y1 / x2 - x1

5 - 1 / 4 - 2 = 4/2 = 2

Answer:

[tex]2[/tex]

Step-by-step explanation:

1. Find the difference between the two y values. 5 − 1 = 4

  This is usually called the "rise" of the line.

2. Find the difference between the two x values. 4 − 2 = 2

   This is usually called the "run" of the line.

3.  Divide the rise buy the run: [tex]\frac{rise}{run} = slope \frac{4}{2} = 2[/tex]

Answer:

your answer choices don't make sense

Answer:

horizontal

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

Answer:

I would tell them to buy a ps5 for me

Step-by-step explanation:

For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.

Answer:

here,

38+X=180 (being straight line)

or,X=180-38

therefore, X=142 ans,,,

Answer: Choice A) z

==========================================================

Explanation:

x and y are two integers, with x being nonzero

This means x/y is rational as long as y is nonzero as well. If y = 0, then we have a division by zero error. Try something like 1/0 on your calculator and you'll find it doesn't work.

Similarly, y/x is rational as well. Any rational number is simply dividing two integers as a fraction like this. Other examples include stuff like 1/2, 4/5, 8/17, and so on.

Since y is an integer, this means we can write it like this: y = y/1. This shows any integer is also rational, but not the other way around. A fraction like 2/3 is rational but not an integer.

All of what was discussed above indicates that choices B, C and D can be ruled out. The only thing left is choice A. The variable z isn't defined, so it's not clear what it is exactly. But it's likely the answer as it's the only thing left after the eliminations.

Answer: $23.5

Step-by-step explanation:

0.5(x) + 11

0.5(25) + 11

$23.5

Answer:

answer: 15/16 Hope this helps!

Answer:

The answer is "[tex](25.32, 30.68)[/tex]"

Step-by-step explanation:

Given:

[tex]\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\[/tex]

When [tex]98\%[/tex] confidence level so, the z:

[tex]\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\[/tex]

[tex]E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]  

[tex]= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68[/tex]

When  98% confidence interval estimate of the population mean  is,

[tex]\bar x - E < \mu < \bar x + E\\\\28 - 2.68 < \mu < 28 + 2.68\\\\25.32 < \mu < 30.68\\\\(25.32, 30.68)\\\\[/tex]

Answer:

it's d

Step-by-step explanation:

Answer:

[tex]3.0046022*10^{7} \\[/tex]

Step-by-step explanation:

30,046,022 = [tex]3.0046022*10^{7} \\[/tex]

9514 1404 393

Answer:

  A)  105°

Step-by-step explanation:

The two marked angles are alternate interior angles, so are congruent.

  8x +17 = 9x +6

  11 = x

  8x +17 = 8(11) +17 = 88 +17 = 105 . . . . degrees

The bolded angle is 105°.

Answer:

105 degrees

Step-by-step explanation:

Here ,

8x+17=9x+6(being alternate angles )

17-6=9x-8x

11= x

Again,

8x-17=8×11+17

Therefore 8x-17=105 degrees

Answer:

[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex], option c

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and an [tex]\alpha[/tex] level of [tex]\frac{1 - 0.95}{2} = 0.025[/tex], thus, we have [tex]t_{(0.025,15)}[/tex]

The margin of error is of:

[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have [tex]s = 50,n = 16[/tex]. So

[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]

[tex]M = t_{(0.025,15)}\frac{50}{\sqrt{16}}[/tex]

[tex]M = t_{(0.025,15)}\frac{50}{4}[/tex]

Upper bound:

The upper bound is less than the sample mean of 700 added to the margin of error of M. Thus

[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex]

And the correct answer is given by option c.

Answer:

Try 1/6, if not then search up Fraction Calculator it should be Calculator.net

Answer:

screenshot

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZ

Answer:

1.20

Step-by-step explanation:

[tex] 12 \div 10 = 1.20[/tex]

Answer:

[tex]\text{Area}=\frac{15(x+1)}{2(x-2)}[/tex]

Step-by-step explanation:

Length of the rectangle given in the picture = [tex]\frac{5x+5}{x+3}[/tex]

Width of the rectangle = [tex]\frac{3x+9}{2x-4}[/tex]

Area of the rectangle = Length × Width

                                    = [tex]\frac{5x+5}{x+3}\times \frac{3x+9}{2x-4}[/tex]

                                    = [tex]\frac{5(x+1)}{x+3}\times \frac{3(x+3)}{2(x-2)}[/tex]

                                    = [tex]\frac{15(x+1)(x+3)}{2(x+3)(x-2)}[/tex]

                                    = [tex]\frac{15(x+1)}{2(x-2)}[/tex]

Therefore, area of the given rectangle is [tex]\frac{15(x+1)}{2(x-2)}[/tex].

Answer:

a. Percent error = 12.5%

b. Percent error = 20%

c. Product = 250

d. Area of rectangle = 200 cm²

Step-by-step explanation:

Given the following data;

Actual length = 40cm

Experimental length = 35cm

Actual breadth = 50cm

Experimental breadth = 60cm

To find the following values;

a. Percentage error in length;

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

[tex] Percent \; error = \frac {experimental \;value - actual \; value}{ actual \;value} *100[/tex]

Substituting into the formula, we have;

[tex] Percent \; error = \frac {35 - 40}{40} *100[/tex]

[tex] Percent \; error = \frac {5}{40} *100[/tex]

[tex] Percent \; error = 0.125 *100[/tex]

Percent error = 12.5%

b. Percentage error in breadth;

[tex] Percent \; error = \frac {60 - 50}{50} *100[/tex]

[tex] Percent \; error = \frac {10}{50} *100[/tex]

[tex] Percent \; error = 0.2 *100[/tex]

Percent error = 20%

c. Product of the error;

Product = 12.5 * 20

Product = 250

d. Area of the table top;

Dimensions = 50 * 40 cm

Area of rectangle = length * breadth

Area of rectangle = 40 * 50

Area of rectangle = 200 cm²