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Ivan
3 years ago
15

5. a) Which of these numbers are perfect

Mathematics
2 answers:
jok3333 [9.3K]3 years ago
4 0

Answer:

Part A: 1 & 225, A number times itself equals a perfect Square.

Part B: No, 289 is NOT perfect square.

Step-by-step explanation:

Part A: 1*1=1, 15*15=225 (Perfect Squares)

Part B: Utilizing the Factor Rainbow one can see that the same number does not exist on both sides of the rainbow simultaneously.

Charra [1.4K]3 years ago
3 0

Answer and Eplainations:

i) 1 is a perfect square because 1 x 1  = 1

ii) 24 is not a perfect square because it is a natural number. Natural numbers cannot be squared.

iii) 225 is a perfect square 15 x 15 = 225

iv) 500 is not a perfect square it is an irrational number

289 is a perfect square because 17 x 17 = 289

the square root of 289 is 17 therefore it is a perfect square

A Tip that will help you with other problems like this any nunmber ending in 2, 3, 7, or 8 can never be a perfect square.

Hope this helps! Good luck!

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Can someone please give me the answers to this? ... please ...
Gelneren [198K]

Step-by-step explanation:

the midpoint between 2 points (x1, y1) and (x2, y2) is simply ((x1+x2)/2, (y1+y2)/2).

so,

1.

(9, 7) to (4, -3)

midpoint is ((9+4)/2, (7+ -3)/2) = (13/2, 4/2) = (6.5, 2)

2.

(-7, -5) to (2, 1)

midpoint is ((-7+2)/2, (-5+1)/2) = (-5/2, -4/2) = (-2.5, -2)

3.

now we have the midpoint and need the second point.

(4, 2) over (3, 4) to (x, y)

3 = (4 + x)/2

6 = 4 + x

x = 2

4 = (2 + y)/2

8 = 2 + y

y = 6

4.

(-2, 1) over (-3, 2) to (x, y)

-3 = (-2 + x)/2

-6 = -2 + x

x = -4

2 = (1 + y)/2

4 = 1 + y

y = 3

5 0
2 years ago
A store buys frozen burritos from a supplier for $1.40 each. The store adds a markup of 80% to determine the retail price. This
boyakko [2]
$1.40  -  price from a supplier = 100%
100% + 80% = 180% = 1,8  -  the retail price

1,40 * 1,8 = $2,52 - the retail price 

100% - 25% = 75% = 0,75  -  on sale for 25% off 

2,52 * 0,75 = $1,89  -   the sale price.


8 0
3 years ago
Line segment YV of rectangle YVWX measures 24 units.
oksian1 [2.3K]

Answer: YX=13.85\ units

Step-by-step explanation:

<h3> The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3> The missing figure is attached.</h3>

Since the figure is a rectangle, you know that:

WV=YX\\\\YV=XW=24

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

tan\alpha =\frac{opposite}{adjacent}

You can identify that:

\alpha =30\°\\\\opposite=YX\\\\adjacent=YV=24

Therefore, in order to find the length of the segment YX, you must substitute values into  tan\alpha =\frac{opposite}{adjacent} and then you must solve for YX.

You get that this is:

tan(30\°)=\frac{YX}{24}\\\\(24)(tan(30\°))=YX\\\\YX=13.85

7 0
3 years ago
Read 2 more answers
The question is on the image
allochka39001 [22]
2th bounce- 80
5th Bounce- (-)200
9th Bounce- (-)560

Every time the ball bounces it loses 40cm because on the first bounce 160cm-120cm=40cm
And the score goes down by 40 every time and since we go into the negatives the negatives sometimes add on top of each other
5 0
2 years ago
Let s(t) be the position function of a body moving along a coordinate line; s(t) is measured in feet and t in seconds, where t ≥
Murrr4er [49]
S (0) = (15*0)/(0 + 5) = 0/5 = 0
6 0
3 years ago
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