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3 years ago

AC is tangent to circle o at point C.

Mathematics

1 answer:

timofeeve [1]3 years ago

5 0

The length of AB is 18 units

<u>Explanation:</u>

AOC forms a right angle triangle

where,

OC is the height

AC is the base

AO is the hypotenuse

Using pythagoras theorm:

(AO)² = (OC)² + (AC)²

(AO)² = (7)² + (24)²

AO = 25 units

Length AB = ?

According to the figure:

AO = AB + BO

25 = AB + 7 (OB is the radius of the circle)

AB = 18units

Therefore, the length of AB is 18 units

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Alex needs to varnish the top And the bottom of a dozen rectangular wooden planks planks are 8 feet long and 3 feet wide each pi

meriva

Answer:

It will cost approximately $16.12 to varnish all the wooden planks.

Step-by-step explanation:

We are given the following in the question:

Number of rectangular planks = 12

Dimension of the rectangular wooden plank:

Length = 8 feet

Width = 3 feet

Area covered by I bottle of varnish = 125 Square feet

Cost of 1 bottle of varnish = 3.50 units

Area of 1 rectangular plot =

$A = \text{Length}\times \text{Width}\\A = 8\times 3\\A = 24\text{ square feet}$

Total area to be covered by varnish =

$= \text{Area of 1 plank}\times 12\times \text{Top area and bottom area}\\=24\times 12\times 2\\=576$

Number of varnish bottles required =

$n = \dfrac{\text{Total area}}{\text{Total area covered by 1 varnish bottle}} = \dfrac{576}{125} = 4.608$

Cost of varnishing =

$=\text{Cost of 1bottle of varnish}\times \text{Number of varnish bottles}\\=4.608\times 3.50\\=\$16.12$

Thus, it will cost approximately $16.12 to varnish all the wooden planks.

6 0

3 years ago

Find the midpoint M of the line segment joining the points A = (-2,-4) and B = (4,-8)

Alex787 [66]

Answer:

(-2+4)/2

= 1

(-4-8)/2

= -6

(1,-6) is the midpoint of the line

6 0

3 years ago

Five days a week, you carpool with 3 co-workers and take turns driving each week. It is 14 miles from your home to your office.

elena55 [62]

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4 years ago

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The anwser -8(6x + 3)

raketka [301]

Answer:-48x -24

Step-by-step explanation:

i did -8 times 6x and i got -48x then i did -8 times 3 and i got -24

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3 years ago

What is 4.1 as an improper fraction?

amm1812

41/10
4.1 = 4 1/10 = 41/10

7 0

4 years ago

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