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3 years ago

What is the probability that the pencil was yellow 0/3 1/3 2/3 to 3/3

Mathematics

1 answer:

Norma-Jean [14]3 years ago

8 0

Answer:

2/3

Step-by-step explanation:

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A highway between points A and B has been closed for repairs. An alternative route between there two locations is to travel betw

Kitty [74]

Answer:

The value of Y is 24 km and distance from A to C to B is AC+Y=18+24=42 km

Step-by-step explanation:

Given that A highway between points A and B has been closed for repairs. An alternative route between there two locations is to travel between A and C and then from C to B. we have to find the value of Y and the total distance from A to C to B. Let AB=Z

In ΔBCD and ΔABD

∠BCD=∠ABD (∵each 90°)

∠D=∠D (∵common)

By AA similarity, ΔBCD~ΔABD

∴ their corresponding sides are proportional

$\frac{Y}{Z}=\frac{X}{40}=\frac{40}{18+X}$

Comparing last two terms, we get

$\frac{X}{40}=\frac{40}{18+x}$

⇒ $X(18+X)=1600$

⇒ $18X+X^2=1600$

⇒ $X^2+18X-1600=0$

⇒ $X^2-32X+50X-1600=0$

⇒ $(X-32)(X+50)=0$

Hence, the roots are X=32, -50

X=-50 not possible as distance can never negative.

Hence, X=32 km

By applying Pythagoras theorem in ΔBCD we get

$BD^2=BC^2+CD^2$

$40^2=Y^2+32^2$

⇒ $Y^2=1600-1024=576$

⇒ $Y=\sqrt576=24km$

Hence, the value of Y is 24 km and the distance from A to C to B is AC+Y=18+24=42 km

5 0

3 years ago

4 5/8 + 2 1/4 = ??? plz help

Anettt [7]

6 7/8. You must get a common denominater. I used 8, which multiplis 4 times 2. Then the top number is multiplied by 2 to get 2/8. Now add the tops and bottoms to get 7/8. Now add the whole numbers to get 6.

3 0

3 years ago

PLEASE HELP ME 10 POINTS

liq [111]

$\dfrac{3}{5}=\dfrac{3\cdot2}{5\cdot2}=\dfrac{6}{10}\\\\\dfrac{1}{2}=\dfrac{1\cdot5}{2\cdot5}=\dfrac{5}{10}\\\\\dfrac{3}{5}+\dfrac{1}{2}=\dfrac{6}{10}+\dfrac{5}{10}=\dfrac{6+5}{10}=\dfrac{11}{10}=1\dfrac{1}{10}\\\\\dfrac{3}{5}-\dfrac{1}{2}=\dfrac{6}{10}-\dfrac{5}{10}=\dfrac{6-5}{10}=\dfrac{1}{10}$