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Mashcka [7]
3 years ago
8

Find the length of tangent drawn to a circle with radius 7 cm from a point 25 cm away from the

Mathematics
1 answer:
dexar [7]3 years ago
4 0

Answer:

a) 24 cm

Step-by-step explanation:

Tangents form a 90° angle with a radius.

using the Pythagorean theorem:

D² =  25² - 7²

D² =  625 - 49 = 576

D =  24

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4 years ago
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3 years ago
Read 2 more answers
3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.
lorasvet [3.4K]

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

4 0
4 years ago
Solve for x<br> -8 &lt; x -1 &lt; 5
natka813 [3]

x<6 is the answer sorry if its wrong

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3 years ago
What is 6.25 X 10 to the 5 th power
vazorg [7]
625000
That’s the answer:)
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