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3 years ago

6

A traffic light changes every 30 seconds another traffic light changes every 40 seconds both lights just changed after how money

minutes will both lights change at the same time

1 answer:

BaLLatris [955]3 years ago

7 0

Answer:

120 seconds/2 minutes

Step-by-step explanation:

You need to find the LCM of 30 and 40 which is 120.

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zaharov [31]

132 + 56 + 79 = 267

360 - 267 = 93

answer is 93 degrees

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4 years ago

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If angle p measures 60 degrees, what is the measure of angle C?

sergij07 [2.7K]

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3 years ago

Find the arc length of the given curve between the specified points.

yuradex [85]

Answer:

4.25

Step-by-step explanation:

Given:

$f(x) = \frac{x^3}{12} + \frac{1}{x} \\\\Arc Length = \int\limits^a_b {\sqrt{1 + (f'(x))^2} } \, dx \\f '(x) = \frac{x^2}{6} - \frac{1}{x^2}\\\\f'(x)^2 = (\frac{x^2}{6} - \frac{1}{x^2})^2 = \frac{x^4}{36} + \frac{1}{x^4} - \frac{1}{3}\\\\1 + f'(x)^2 = \frac{x^4}{36} + \frac{1}{x^4} + \frac{2}{3}\\\\\= \frac{x^8 + 36 + 12x^4}{36x^4}\\\\= \frac{(x^4 + 6)^2}{36x^4}\\\\=\sqrt{1 + f'(x)^2} = \sqrt{ \frac{(x^4 + 6)^2}{36x^4}}\\\\= \frac{x^2}{6} + \frac{1}{x^2} \\\\$

$ArcLength = \int\limits^4_1 {\frac{x^2}{6} + \frac{1}{x^2} } \, dx \\= (\frac{x^3}{18} - \frac{1}{x})\limits^4_1\\\\= (\frac{64}{18} - \frac{1}{4}) - (\frac{1}{18} - 1)\\\\= \frac{17}{4}= 4.25$

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3 years ago

Select a real-world problem for the equation 18w = 108. Then solve the problem. A If total rainfall for last month was 108 inche

Ket [755]

The problem is multiplying w by 18 to get a total of 108.

The answer would be :

D If one full glass holds 18 ounces of water, how many full glasses will hold 108 ounces?

To solve for the number of cups divide both sides of the equation by 18:

18w = 108

W= 108 / 18

W = 6

It would take 6 18 ounce glasses to equal 108 total ounces.

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3 years ago

C and D are complementary. The measure of C is (4x) degrees and the measure of K is 26 degrees. What is the value of x?

Semmy [17]

Answer:

16

Step-by-step explanation:

Complementary angles are angles which add to 90 degrees. This means 4x + 26 = 90. Solve for x using inverse operations in the equation.

4x+26 = 90

4x = 64

x = 16

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3 years ago