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goldenfox [79]
4 years ago
8

What is the distance between (5,1) and (0,-5)

Mathematics
1 answer:
mrs_skeptik [129]4 years ago
3 0
Distance betweeen (x1,y1) and (x2,y2) is
\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(5,1) and (0,-5)
(x,y)
x1=5
y1=1
x2=0
y2=-5

D=\sqrt{(0-5)^2+(-5-1)^2}
D=\sqrt{(-5)^2+(-6)^2}
D=\sqrt{25+36}
D=\sqrt{61}

the distance is √61
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A room is 12m 15m long and 8m 91 cm broad .The floor of the room is tobe paved with squared tiles find the lenght of the largest
Nat2105 [25]

Answer:

81 cm

Step-by-step explanation:

Length of a room = 12m 15cm

Width of a room = 8 m 91 cm

12 m 15 cm = 1200 cm + 15 cm = 1215 cm

8 m 91 cm = 800 cm + 91 cm = 891 cm

The floor of the room is tobe paved with squared tiles. We need to find the length of the largest tile that can be used.

To find it we can find the HCF of 1215 cm and 891 cm.

Prime factorization of 1215 = 3 x 3 x 3 x 3 x 3 x 5

Prime factorization of 891 = 3 x 3 x 3 x 3 x 11

HCF = 3 x 3 x 3 x 3

= 81

Hence, the length of the largest tile that can be used is 81 cm.

5 0
3 years ago
What is the volume of a box that will hold exactly 567 of these cubes with 1/3inch sides
Helen [10]

Answer:21

Step-by-step explanation:each cube has a volume of (1/3)^3 = 1/27 in^3

so, the total volume is 567/27 = 21 in^3

3 0
4 years ago
A box contains 100 balloons. Fifty are yellow, and 50 are green. Forty are marked "Happy Birthday!" and 60
8_murik_8 [283]

Answer:

20

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6 0
3 years ago
8.5k+7-7.5k=9 whats the value of k?
dexar [7]
<span>8.5k+7-7.5k=9
first combine like terms </span>8.5k and -7.5k to get 1k or just k

k+7=9
subtract 7 from both sides to isolate k

k = 2
8 0
3 years ago
What is the solution to 0.4(12-3x)=0.3(12x-16)
Pavel [41]

Step 1: Simplify both sides of the equation.

0.4(12−3x)=0.3(12x−16)

(0.4)(12)+(0.4)(−3x)=(0.3)(12x)+(0.3)(−16)(Distribute)

4.8+−1.2x=3.6x+−4.8

−1.2x+4.8=3.6x−4.8

Step 2: Subtract 3.6x from both sides.

−1.2x+4.8−3.6x=3.6x−4.8−3.6x

−4.8x+4.8=−4.8

Step 3: Subtract 4.8 from both sides.

−4.8x+4.8−4.8=−4.8−4.8

−4.8x=−9.6

Step 4: Divide both sides by -4.8.

−4.8x /−4.8  =  −9.6 /−4.8

x = 2

6 0
3 years ago
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