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Natali5045456 [20]
3 years ago
5

Find the measure of arc DB. 25° 96° 118° 146°

Mathematics
1 answer:
Sati [7]3 years ago
3 0

Answer:

146°

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle.

(5x )\degree =  \frac{1}{2} [(25x + 21) \degree - 96 \degree]  \\  \\ (5x )\degree  \times 2= (25x + 21 - 96) \degree  \\  \\ (10x )\degree  = (25x + 21 - 96) \degree  \\  \\ 10x = 25x - 75 \\  \\ 75 = 25x - 10x \\  \\ 75 = 15x \\  \\ x =  \frac{75}{15}  \\  \\ x = 5 \\  \\ m  (\widehat{DB}) = (25x + 21) \degree \\  \\ m(\widehat{DB} )= (25 \times 5 + 21) \degree \\  \\  m(\widehat{DB} )= (125 + 21) \degree \\  \\ \huge  \purple{ \boxed{m( \widehat{DB} )= 146 \degree}} \\  \\

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Answer:

1306.24 cm².

Step-by-step explanation:

From the diagram given above, we obtained the following information:

Radius (r) = 13 cm

Pi (π) = 3.14

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Surface Area (SA) =.?

The surface area of the cone can be obtained as follow:

SA = πr² + πrl

SA = πr ( r + l)

SA = 3.14 × 13 ( 13 + 19)

SA = 40.82 (32)

SA= 1306.24 cm²

Therefore, the surface area of the cone is 1306.24 cm².

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Reptile [31]
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5 0
3 years ago
F<br> (<br> x<br> )<br> =<br> 3<br> x<br> −<br> 12<br> f(x)= <br> 3x−12<br> ​
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The inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.

<h3>What is inverse of a function?</h3>

An inverse of a function is a function that serves to replace another function.

That is, if f(x) produces y, then putting y into the inverse of f produces the 0ut-put x .

Thus, an inverse function or an anti function is defined as a function, which can reverse into another function.

The inverse of the given function; f(x)= 3x − 12 is calculated as follows;

y = 3x - 12

replace y with x and x with y as shown below;

x = 3y - 12

now, solve for y

x + 12 = 3y

divide both sides of the equation by 3

x/3 + 12/3 = 3y/3

x/3 + 4 = y

f⁻¹(x) = x/3 + 4

Thus, the inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.

Learn  more about inverse of a function here: brainly.com/question/3831584

#SPJ1

The complete question is written below:

find the inverse of the function, f(x) = 3x - 12

8 0
2 years ago
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