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lilavasa [31]
4 years ago
9

Graph a right triangle with the two points 4,5 and -4,8​

Mathematics
1 answer:
Katyanochek1 [597]4 years ago
6 0

Answer:

Step-by-step explanation:

Please write points using parentheses:  (4, 5) and (-4, 8}.

​

(4, 5) is in the 1st quadrant and (-4, 8} is in the 2nd. Reversing the order of these two points yields (-4, 8) and (4, 5).  From this we can see that while moving from (-4, 8) to (4, 5) involves following a line with negative slope (because the y-coordinate decreases from 8 to 5 as the x-coordinate increases from -4 to +4).  This sloping line is the hypotenuse of a right triangle.  Draw a vertical line segment through (-4, 8) and a horizontal line segment through (4, 5).  This hypotenuse, the vertical line segment and the horizontal line segment are the boundaries of the desired right triangle.  

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Persephone is creating a flower garden in her back yard. If she needs 30 pounds of soil per square foot of the flower garden, ho
allochka39001 [22]

Answer:

4,560 pounds of soil

Step-by-step explanation:

Ok, based on the information given we are assuming that Persephone's garden is in the shape of a square or rectangle and the measurements 8 by 19 are in feet. That being the case we first need to calculate the square footage of the garden and we do this by multiplying the length by the width like so...

8 ft * 19 ft = 152 sq. ft.

Now that we know the square footage, we calculate how much soil is needed. Since the question states that she needs 30 pounds of soil per square foot then we multiply the square footage of the garden by 30.

152 sq. ft. * 30lb =  4,560lb

Finally, we can see that Persephone will need 4,560 pounds of soil for her garden.

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3 years ago
Which conclusion can be derived from this scatter plot?
aliina [53]
Can you add a photo?
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3 years ago
A model of a soccer ball is made up of regular pentagons and hexagons.
Monica [59]

<em>An </em><em>apothem</em><em> is a line from the center of a regular polygon at right angles to any of its sides.</em>

<u>For part A</u>,

We want to find area of pentagon (5 sided figure) given apothem is 1.38 in and side length as 2 inch.

If we look at the picture shown (attached), we can see that a triangle is formed. What is the area of this triangle?

A=0.5bh\\A=0.5(1)(1.38)\\A=0.69 square inches

<u><em>How many such triangles are there in a pentagon? 10. So we multiply 0.69 by 10 to get total area of pentagon.</em></u>

Area of Pentagon = 0.69*10=6.9 square inches.


<u>For part B</u>,

We want to find area of hexagon (6 sided figure) given apothem is 1.73 in and side length as 2 inch.

If we look at the picture shown (attached), we can see that a triangle is formed. What is the area of this triangle?

A=0.5bh\\A=0.5(1)(1.73)\\A=0.865 square inches

<em><u>How many such triangles are there in a hexagon? 12. So we multiply 0.865 by 12 to get total area of hexagon.</u></em>

Area of Hexagon = 0.865*12=10.4 square inches.


ANSWER:

Area of Pentagon is 6.9 square inches.

Area of Hexagon is 10.4 square inches.

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3 years ago
A store has a sale for 15% off. You want a jacket that was originally $45. How much
Travka [436]

Answer:

es 51.75

Step-by-step explanation:

por que al sumar 45 + 15 porciento da 51.75

4 0
2 years ago
Which number is opposite of -5 in both its value and direction it lies on a number line?
ASHA 777 [7]

Answer:

The opposite of - 5 would be 5

Step-by-step explanation:

Because opposite number only means a number with an oposite sign

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