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elena-s [515]
4 years ago
15

Solve for all radian solutions and x if 0 sin x +2sin x cos x=0

Mathematics
1 answer:
Bogdan [553]4 years ago
5 0
<span>the answer is 
sin x +2sin x cos x=0
</span>sin x(1 +2 cos x) =0, so sin x =0 or (1 +2 cos x)=0, implies <span>cos x =-1/2</span><span>
the solutions are x= arc sin 0 = 2Pi +2kpi     or       x=arccos (-1/2)=2Pi/3 +2kpi</span>
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- Eight mechanics all earning $16 an hour met for a half
Gelneren [198K]

Answer:

The 30-minute meeting of eight mechanics being paid $16 an hour, costed the garage $64!

Step-by-step explanation:

First, identify what you know:

1) A single mechanic is paid $16 an hour.

2) Eight mechanics, being paid $16 an hour, met.

3) The meeting lasted 30 minutes, or half an hour.

If a mechanic makes $16 dollars in one hour (60 min), how much would they make in half an hour? Since they worked for half an hour, they'd make half an hour wage!

$16/2 = $8

So, now if each of the eight mechanics were paid $8 for the half hour meeting, how much would it cost the garage?

$8 x 8 = $64

The garage would have had to pay $64 in total to the mechanics for their 30 minute meeting.

6 0
3 years ago
Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
JulsSmile [24]

Answer:

y = \frac{1}{3} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 1 ← is in slope- intercept form

with slope m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-3} = \frac{1}{3}, thus

y = \frac{1}{3} x + c ← is the partial equation of the perpendicular line

To find c substitute (6, 3) into the partial equation

3 = 2 + c ⇒ c = 3 - 2 = 1

y = \frac{1}{3} x + 1 ← equation of perpendicular line

6 0
3 years ago
Bruce has 150$ and saves 20$ each week. Katie has 200$ and saves 10$ each week. After how many weeks will they have the same amo
NNADVOKAT [17]
None because they will have spent it all on lawsuits 
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3 years ago
The radius of a sphere whose volume is 12 π cubic cm is??
dimaraw [331]

Given a radius r, the volume of a sphere is given by

V=\dfrac{4}{3}\pi r^3

We can solve this formula for the radius, given the volume:

r=\sqrt[3]{\dfrac{3V}{4\pi}}

We can plug our value for the volume to get the radius:

r=\sqrt[3]{\dfrac{3\cdot 12\pi}{4\pi}}=\sqrt[3]{9}

8 0
4 years ago
Read 2 more answers
Angela drew 9 rhombuses and 6 trapezoids. She wants to find q, the total number of angles in her quadrilaterals. Explain how Ang
Bingel [31]
I'm pretty sure it's
q= 4(9)+4(6)
This is true, since both are quadrilaterals, so they have 4 sides and therefore 4 angles. There are 9 rhombuses, so each has 4 angles. This would mean you'd have to multiply each quadrilateral by 4 to find your answer. 
I hope this helps a little.
4 0
3 years ago
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