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3 years ago

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

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2 years ago

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You decide to purchase a new iPhone. The iPhone itself costs $350. The monthly fee for the services (data, messaging, etc.) is $

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

→ Multiply this by his gaming time

7 × 15 = 105

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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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3 years ago

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

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