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melisa1 [442]
3 years ago
11

Find the co-ordinates of the mid-point of the line joining the points A(2, –5) and B(6, 9).​

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

4,2

Step-by-step explanation:

2+6/2 , -5+9/2

=4,2(midpoint)

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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
Lisa [10]

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



5 0
1 year ago
Given ABCD, AC=38, and AE=3x+4, find the value of x
sasho [114]

ANSWER

D 5

EXPLANATION

The diagonals bisect each other so,

AE=CE

This implies that

3x+4+3x+4=38

6x+8=38

Group similar terms

6x=38-8

6x=30

x=5

5 0
2 years ago
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Bogdan [553]

The base price of the iphone is $350 and additiobal charge of a month is $67. So additional charge for p months is $67p.

Determine the equation for total cost of iphone after p momths.

P(x)=350+67p

8 0
1 year ago
Can someone help I cant understand a method for this pls ASAP
kvv77 [185]

Answer:

105 hours

Step-by-step explanation:

→ Find how many days in a week

7

→ Multiply this by his gaming time

7 × 15 = 105

3 0
2 years ago
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75 months is how many years
lakkis [162]

Answer:

75 months is 6.25001 calendar years.

Step-by-step explanation:

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