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2 years ago

What is the mathematical explanation of perpendicular?

Mathematics

1 answer:

Viefleur [7K]2 years ago

5 0

Perpendicular means "at right angles"

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If the diameter of circle O is 20 and CE = 4, then determine the length of AB. Show how you arrived at your answer.

Aneli [31]

Answer: Length of AB is 16 cm

Step-by-step explanation:

Given: Diameter of a circle is 20 cm and CE = 4 cm

Now as shown in figure AO, BO, CO are radii

$\text { Radius } =\dfrac{\text {Diameter}}{2} = \dfrac{20}{2} = 10 cm$

Therefore

AO=BO=CO= 10 cm

Now

$OE = CO- CE \Rightarrow OE= 10 -4 = 6 cm$

Now in Δ OEB

∠OEB =90°

Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.

So we have

$BO^2=BE^2+EO^2\\\\\Rightarrow 10^2= BE^2 +6^2\\\\\Rightarrow BE^2= 100-36\\\\\Rightarrow BE^2 = 64 \\\\\Rightarrow BE= 8 cm$

Now as we know perpendicular to the chord from the center of a circle bisect the chord.

Therefore

$AB= 2\times BE = 2\times 8=16 cm$

Hence , the length of AB is 16 cm .

8 0

2 years ago

If 3x + c = 4, then x equals A: 4-c B: 4 -c/3 C: c-4/3 D: c-4

Colt1911 [192]

Answer:

4-c/3 is ans

Step-by-step explanation:

3x+c=4

3x=4-c

x=4-c/3

4 0

2 years ago

Perform the indicated operations; reduce the answer to lowest terms.

Misha Larkins [42]

$\frac{1}{15}$

$\frac{6}{35}$

$\frac{1}{15}$

$\frac{9}{32}$

$\frac{4}{15}$

4 0

2 years ago

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In (triangle symbol)ABC, (angle symbol)C is a right angle. Find the remaining sides and angles. Round your answers to the neares

irinina [24]

Use the Pythagorean Theorem.

a² + b² = c²

3² + b² = 19²

9 + b² = 361

b² = 352

b = 4√11

Now, solve for the remaining angles by using the trigonometric ratios:

Sine = opposite/hypotenuse

sin(A)= 3/19

sininverse(3/19) = 9.1 = angle A

180-9.1-90 = 80.9 = angle B

3 0

2 years ago

Is 2.99 irrational or rational?

ss7ja [257]

Answer:

rational

Step-by-step explanation:

its decimal expansion terminates after 9 and it can also be represented as fraction.

8 0

2 years ago

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