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pychu [463]
4 years ago
10

A wise man once said, "400 reduced by twice my age is 276." What is his age?

Mathematics
1 answer:
jenyasd209 [6]4 years ago
7 0

Answer:

the man is 62.

Step-by-step explanation:

(400-276) divided by 2.

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5 0
3 years ago
I don’t understand this can someone help it’s a practice test please show steps.
fomenos

Using the sinusoidal function, it is found that the temperature will be below 0ºC between May and August.

<h3>What is a Sinusoidal function?</h3>
  • A sinusoidal function is a function that depends on a trigonometric function, having peaks according to the period and amplitude given by this function.

The function for the average monthly temperature, in m months after January, is given by:

T(m) = 10\cos{\left(\frac{\pi}{6}\right)m} + 5

Working with elementary angles, we have that:

m = 10, T(0) = 10\cos{0} + 5 = 15

m = 3, T(3) = 10\cos{\left(\frac{\pi}{2}\right)} + 5 = 5

m = 6, T(3) = 10\cos{\pi} + 5 = -5

m = 9, T(3) = 10\cos{\left(\frac{3\pi}{2}\right)} + 5 = 5

m = 12, T(3) = 10\cos{2\pi} + 5 = 5

From this, we have that it becomes negative after March, and positive before September, removing the middle two options.

Now, we have to test for April and May, that is, m = 4 and m = 5, hence:

m = 4, T(4) = 10\cos{\left(\frac{2\pi}{3}\right)} + 5 = 0

m = 5, T(5) = 10\cos{\left(\frac{5\pi}{6}\right)} + 5 = -3.66

Negative only in May, hence the temperature will be below 0ºC between May and August.

To learn more about sinusoidal function, you can take a look at brainly.com/question/18055768

7 0
2 years ago
Line segment XY is tangent to circle Z at point U. If the measure of is 84°, what is the measure of ? 42° 84° 96° 168°
Andreas93 [3]

Answer:

The measure of angle YUV is equal to m

Step-by-step explanation:

see the attached figure to better understand the problem

we have that

arc\ UV=84\° -----> given problem

so

m ------> by central angle

we know that

The triangle UZV is an isosceles triangle

because

ZU=ZV=radius

so

m -----> bases angle of the isosceles triangle

Remember that

The sum of the internal angles of a triangle is equal to 180\°

so

m

2m

substitute and solve for m<ZUV

2m

m

m ------> by complementary angles

solve for m<YUZ

48\°+m

m

7 0
3 years ago
Read 2 more answers
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