All categories

2 years ago

In the given figure, O is the centre of a circle, TN is a Tangent, AN = 12 cm and OE = 5 cm. Find the length of NE.

Mathematics

1 answer:

sp2606 [1]2 years ago

3 0

Answer:

NE = 8 cm

Step-by-step explanation:

Radius OA = OE = 5 cm

In right triangle OAN, OA² + AN² = ON²

5² + 12² = ON²

ON² = 25 + 144 = 169

so ON = 13 cm

NE = ON - OE = 13 - 5 = 8 cm

You might be interested in

If a filter can process 10 gallons of water per minute, then how many gallons of water can it process in one day

Alex73 [517]

I don't know if this will be correct, but let me explain what I think, so a day has 24 hours so multiply 10 * 24 and your answer should be 240.

8 0

3 years ago

Solve: 37x + 41y = 70<br>41x + 37y = 86

AysviL [449]

Step-by-step explanation:

37x + 41y = 70 --- R¹

41x + 37y = 86 --- R²

R¹ + R² : 78x + 78y = 156

78(x + y) = 156

x + y = 2 --- R³

R¹ - R² : -4x + 4y = -16

4(y - x) = -16

y - x = -4 --- R⁴

R³ + R⁴ : 2y = -2

y = -1

R³ - R⁴ : -2x = -6

x = 3

4 0

3 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

wlad13 [49]

Answer:

$\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

$f(x)=\frac{u(x)}{v(x)}\\$ , the derivative is express as

$\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }$

from $y=lnx/x^{2}$

we assign u(x)=lnx and v(x)=x^2

and the derivatives

$\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\$ .

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e $y=lnx\\\frac{dy}{dx}=\frac{1}{x}$

If we substitute values into the quotient expression we arrive at

$\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

8 0

3 years ago

Find each indicated product <br>1) 2s(s-4) <br>2) (w+7) (w+3)<br>3) (x+9) (x-2) 4) (2t-1) (t+5)

Andrej [43]

Answer:

1) 2s(s-4

Ans:

$2(−4)$

$22−8$

2)(w+7) (w+3)

Ans:

$(+7)(+3)$

$(+3)+7(+3)$

$2+3+7(+3)$

$2+3+7+21$

$2+10+21$

4 0

2 years ago

What is the expression in factored form x^2+13x+42

omeli [17]

The correct answer is (x+6)(x+7). Great job.

8 0

3 years ago

Read 2 more answers

In the given figure, O is the centre of a circle, TN is a Tangent, AN = 12 cm and OE = 5 cm. Find the length of NE.​

In the given figure, O is the centre of a circle, TN is a Tangent, AN = 12 cm and OE = 5 cm. Find the length of NE.