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2 years ago

Write an improper fraction using the following criteria:

Mathematics

2 answers:

ruslelena [56]2 years ago

5 0

Let's take this number:

WHY this number fits the criteria?

It's an improper fraction since the numerator is higher than the denominator
It's value IS between 1-5 because 28 divided by 7 = 4, 4 is in middle of 1-4
The denominator IS 7

How did I find this number?

I did 7x4 to get the numerator, so that it would be between 1-5
And I made sure that it's an improper fraction
And also, I made sure that the denominator is 7

<h2>Hence, 28/7 can be one answer</h2>

(note: there are MANY answers to this question)

lapo4ka [179]2 years ago

3 0

21/7

Divide 21(numerator) by 7 (denominator) and you get 3 which is between 1 and 5

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Anna71 [15]

For the third picture, angle QTS is 154 degrees

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I don’t know the first two but I hope this helps for now until someone can answer the first two.

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2 years ago

What is the slope of a line that passes through the points (9,-6) and (-8,7)?

lianna [129]

<h2>Answer: slope = - ¹³/₁₇ </h2>

Step-by-step explanation:

The question gives us two points, (9,-6) and (-8,7), from which we can find the slope and later the equation of the line.

<u>Finding the Slope </u>

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

= (7 - (- 6)) ÷ (-8 - 9)

= - ¹³/₁₇

<em><u>Checking my answer:</u></em>

Finding the Equation

<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:</em>

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

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2 years ago

What is the domain function of this table?

Alla [95]

C) {3,4,5,6}

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3 years ago

Help this is due tomorrow please! Carter has 88 feet of fencing to enclose a dog pen in his yard. He is trying to decide whether

svet-max [94.6K]

<h3>Answer:</h3>

The circle makes the larger area

The difference in the two areas is roughly 132.2479 square feet.

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

Explanation:

If Carter decides to go for a circle, then 88 is the circumference, which is the distance around the circle (aka perimeter of the circle).

Use this to find the radius needed

C = 2*pi*r

r = C/(2pi)

r = 88/(2pi)

r = 44/pi

I'll leave it in exact form rather than approximate it.

Once we know the radius, we can find the area of the circle.

A = pi*r^2

A = pi(44/pi)^2

A = pi*(1936/(pi^2))

A = 1936/pi

A = 616.247939651819 approximately

I used my calculator's stored version of pi to compute the area in the final step.

We'll be comparing this number later, so hold onto it for now.

-------------------------------------

If Carter instead decides for a square, then 88 is the perimeter since it's the amount of fencing he has to work with.

Divide it into 4 pieces to find the length of each side of the square (all sides are equal in a square)

88/4 = 22

Each side is 22 feet

The area of this square is (22)^2 = 22*22 = 484 square feet

--------------------------------------

Summary:

If Carter goes for a circular enclosure, then he gets roughly 616.2479 square feet.
The square enclosure only gets him exactly 484 square feet.

The circle wins in terms of larger area.

The difference being roughly 616.2479 - 484 = 132.2479 square feet.

3 0

3 years ago

Wayne went on a 4km hike. He took a break at 4/3 k. He took a drink of water at 10/3. Show Wayne's hike on the number line. Incl

tamaranim1 [39]

1. The information given in this problem, is:

- <span>Wayne went on a 4 km hike.
- </span>Wayne took a break at 4/3 km.
- Wayne took a drink of water at 10/3.

2. Then, when you convert the values from fractions to decimals, you have:

4/3 km=1.33 km
10/3 km=3.33 km

3. With this values, you can make the number line and show <span>his starting and finishing place, and the 2 points where he stopped. This is shown in the figure attached.</span>

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3 years ago