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puteri [66]
3 years ago
12

Ratio of two complementary angles is 3:7. What's the measures of both angles

Mathematics
1 answer:
Advocard [28]3 years ago
3 0
The total 'parts' of the ratio is 10 (3+7).
Complementary angles add to 90 degrees.
Divide 90 by 10 and you get 9.
Each 'part' is 9.
3:7 * 9 = 27:63
One angle is 27 degrees and the other is 63 degrees.
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irga5000 [103]
Telephone computers tv microwave
8 0
3 years ago
What is the lcm of 12 and 18
tekilochka [14]
Answer: 36

Explanation: 36 is the smallest number divisible by both 12 and 18.
12x3 and 18x2 = 36
8 0
2 years ago
Read 2 more answers
Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.
Bas_tet [7]

Answer:

The function touches the damping factor

at x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

The x-intercept of f(x) is

at x=n\pi

Step-by-step explanation:

Given function is f(x)=e^{-3x} sin(x) and damping factor as y=e^{-3x} and y=(-1)e^{-3x}

To find when function touches the damping factor:

For f(x)=e^{-3x} sin(x) and y=e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=e^{-3x}

sin(x)=1

x=\frac{(4n-3)\pi}{2}

For f(x)=e^{-3x} sin(x) and y=(-1)e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=(-1)e^{-3x}

sin(x)=(-1)

x=\frac{(4n-1)\pi}{2}

Therefore, The function touches the damping factor x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

To find x-intercept of f(x):

For x-intercept, y=0

f(x)=e^{-3x} sin(x)

y=e^{-3x} sin(x)

e^{-3x} sin(x)=0

Hence, e^{-3x} is always greater than zero.

Therefore,sin(x)=0

x=n\pi

Thus,

The x-intercept of f(x) is at x=n\pi

7 0
3 years ago
What is the length of the line?
mamaluj [8]

Hi there!

\large\boxed{\text{ D. } \sqrt{136}}

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Use the Pythagorean theorem equation:

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Plug in the height and length:

c² = 6² + 10²

Simplify:

c² = 36 + 100

c² = 136

Take the square root of both sides:

c = √136. The correct answer is D.

8 0
2 years ago
A team of scientists estimate the current number of butterflies in a park to be 20 thousand. The butterfly population is expecte
lesantik [10]
C. seems more plausible
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