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quester [9]
3 years ago
5

(05.05)On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of

Side RT of the polygon? 4 unit 6 units 7 units 11 units
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
6 0

Answer:  11 units

Step-by-step explanation:

Given: On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2).

To find : length of Side RT of the polygon.

Using distance formula  to find distance between (a,b) and (c,d):

d=\sqrt{(d-b)^2+(c-a)^2}

Length of RT = \sqrt{(2-2)^2+(5-(-6))^2}

\\\\=\sqrt{0+(5+6)^2}\\\\= \sqrt{11^2}\\\\=11

hence, the length of RT = 11 units.

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2. A bag contains 25 paise coins and 50 paise Coins. The number of 25 paise coins is 6 times that of so paise Coins The total va
Karo-lina-s [1.5K]
<h2>~<u>Solution</u> :-</h2>

Here, it is given that the bag contains 25 paise coins and 50 paise coins in which, 25 paise coins are 6 times than that of 50 paise coins. Also, the total money in the bag is Rs. 6.

  • Hence, we can see that, here, we have been given the linear equation be;

Let the number of coins of 50 paise will be $ x $ and the number of coins of 25 paise will be $ 6x $ as given. . .

Hence,

x + 6x = 6

7x = 6

x =  \frac{6}{7}  \\

x = 1.1666667 \approx \: 2

  • Hence, the number of 50 paise coins will be <u>2</u>. And, 6 times of two be;

6(2)

  • Hence, the number of 25 paise coins will be <u>12</u>.
6 0
2 years ago
Two circles have radii of 4 units and 6 units. What is the radius of a circle whose area is equal to the sum of the areas of the
Bumek [7]

Answer:

Step-by-step explanation:

We that the area of a circle is Pi times r^2 where r is the radius

Let A be the area of the first circle and S the area of the second one and T the total one

A=4^2× Pi

S=6^2× Pi

T = Pi( 4^2 +6^2)

= Pi ( 16+36) = Pi× 52

52 is the radius square

So r = root square 52 = 2 root square 13

3 0
3 years ago
What is the difference between 9 - 4 1/5
erica [24]

Hey there!☺

Answer:\boxed{4\frac{4}{5}}

Explanation:

9-4\frac{1}{5}

Subtract the whole number by the fraction.

\frac{24}{5}

24/5 needs to be simplified so we will rewrite it like this:

4\frac{4}{5}

Hope this helps!

3 0
3 years ago
A boy is 5 years old and his sister is three times as old as he is.
hichkok12 [17]
His sister will be 20, right!
3 0
3 years ago
Read 2 more answers
12&gt;-4y+7 I cant figure it out
Brut [27]

Answer:

y > -5/4

Step-by-step explanation:

12 > -4y + 7

Subtract 7 from both sides:

5 > -4y

Divide both sides by -4 (remember to flip the sign when multiplying or dividing by a negative number):

-5/4 < y

Here's another way to solve it.  First, add 4y to both sides.

12 + 4y > 7

Subtract 12 from both sides:

4y > -5

Divide by 4:

y > -5/4

6 0
3 years ago
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