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Zarrin [17]
3 years ago
9

"Sam" and "Martha" are the local names for two lighthouses that guard a particularly dangerous part of the coast. Sam blinks eve

ry 12 seconds, and Martha blinks every 8 seconds. They blink together at midnight. How many seconds will pass before they blink together again?
Mathematics
2 answers:
Korvikt [17]3 years ago
7 0

Answer:

at 12 o'clock am they will blink at the same time again

Step-by-step explanation:

Hunter-Best [27]3 years ago
4 0

Answer:

Sam and Martha will blink again in 24 seconds :)

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What is the area of the trapezoid?
storchak [24]

Answer:

A = 70 mm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h (b₁ + b₂)

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 10, b₁ = 10, b₂ = 4 , then

A = \frac{1}{2} × 10 × (10 + 4) = 5 × 14 = 70 mm²

7 0
3 years ago
Use a graphing calculator to solve the equation -2sin(theta)= 1.2 in the interval from 0 to 2pi.
elena-s [515]

Answer:

\theta=\pi +arcsin(\frac{3}{5})\approx 3.785\\\\\theta=2\pi -arcsin(\frac{3}{5} ) \approx 5.64  

Step-by-step explanation:

As you can see from the graph I attached you, the possible solutions in the interval from 0 to 2π are approximately:

\theta=3.7\\\\and\\\\\theta=5.7

So, it's useful to solve the equation too, in order to verify the result:

-2sin(\theta)=1.2\\\\sin(\theta)=-\frac{3}{5}

Taking the inverse sine of both sides:

\theta=\pi +arcsin(\frac{3}{5})\approx 3.785\\\\\theta=2\pi -arcsin(\frac{3}{5} ) \approx 5.64

Using this result we can conclude the solutions in the interval from 0 to 2π are approximately:

\theta\approx 3.785\\\\\theta \approx 5.64

8 0
3 years ago
The net of a square pyramid is shown:
lys-0071 [83]
1.7625 square inches
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3 years ago
What is the distance between the points (–3, 4) and (–7, 4)?
uysha [10]

Answer:

d =  \sqrt{( - 7  + 3) {}^{2}  + (4 - 4) {}^{2} }  \\ d =  \sqrt{16}  \\ d = 4

Good luck!

Intelligent Muslim,

From Uzbekistan.

6 0
3 years ago
Evaluate this exponential expression.
Afina-wow [57]
It's -32 since 10-42=-32
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3 years ago
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