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melisa1 [442]
3 years ago
12

Find point P that divides segments AB into a 2:3 ratio.

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0
\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-3,1)\qquad B(3,5)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{2:3}
\\\\\\
\cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-3,1)=2(3,5)\\\\
-------------------------------\\\\
P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)

\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -3)+(2\cdot 3)}{2+3}\quad ,\quad \cfrac{(3\cdot 1)+(2\cdot 5)}{2+3}\right)
\\\\\\
P=\left(\cfrac{-9+6}{5}~~,~~\cfrac{3+10}{5}  \right)\implies P=\left(-\frac{3}{5}~~,~~\frac{13}{5}  \right)
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7 0
3 years ago
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ryzh [129]

Answer:

(1 ) Inner curved surface area of the well is  109.9 sq. meters.

(2) The cost of plastering the total curved surface area is  4396.

Step-by-step explanation:

The inner diameter = 3.5 m

Depth of the well =  10 m

Now, Diameter = 2 x Radius

⇒R = D/ 2  = 3.5/2 = 1.75

or, the inner radius of the well = 1.75 m

CURVED SURFACE AREA of cylinder = 2πr h

⇒The inner curved surface area =  2πr h  = 2 ( 3.14) (1.75)(10)

                                                                      = 109 sq. meters

Hence, the inner curved surface area of the well is  109.9 sq. meters.

Now, the cost of plastering the curved area is 40 per sq meters

So, the cost of total plastering total area = 109.9 x(Cost per meter sq.)

                                                                    =  109.9 x (40)

                                                                   =   4396

Hence, the cost of plastering the total curved surface area is  4396.

8 0
4 years ago
Please help find “b” for me!
svp [43]

Answer:

12

Step-by-step explanation:

Pythagorean Theorem states that

a² + b² = c²

plug in your terms

9² + b² = 15²

81 + b² = 225

then subtract 81 from 225 to get your b²

b² = 144

then find the square root of 144

the square root is 12 because 12 x 12 = 144

3 0
3 years ago
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Snezhnost [94]
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3 0
3 years ago
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PLZ HELP You roll a number cube twice. What is the probability of rolling a 2 first and then rolling an odd number?
nordsb [41]

Answer:

1/12

Step-by-step explanation:

The probability on an equal dice is 1/6

There is only one 2 on a dice; therefore, the probability of rolling a 2 is 1/6.

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Because the events are dependent on each other (you HAVE to roll a 2 first AND you HAVE to roll an odd number after), multiply them.

1/6 * 3/6 = 1/12

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