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sleet_krkn [62]
3 years ago
11

6cos x-6sin x=3.sqrt6

Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0
Divide by 6
cos x - sin x = \frac{\sqrt{6}}{2}

Square both sides
cos^2 x -2 sin x cos x + sin^2 x = \frac{3}{2}

Simplify Left side using Trig identities: (Pythagorean, Double Angle)
1 - sin (2x) = \frac{3}{2}

Solve for x:
sin (2x) = -\frac{1}{2}  \\  \\ 2x = \frac{7 \pi}{6}, \frac{11 \pi}{6} \\  \\ x = \frac{7 \pi}{12}, \frac{11 \pi}{12}
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Help with this too plzzzzzzz
olganol [36]

3×6×-4

=-72

-5(5+5)

=-25-25

=-50

4×-4²+-4×-7

=4×16+-4×-7

=64+ 28

=92

4-4×-7

=4+28

=32

-9²+5×-2²

=81+20

101

-32×24/-2×-1

=-768/2

=-384

-8²×-6/-3×-4²

=64×-6/-3×-16

=-384/48

=-8

4 0
2 years ago
So me and Patrick have the same IQ
JulsSmile [24]

Answer:

25 seconds

Step-by-step explanation:

The radius of a hailstorm varies directly

with the amount of time that it was in a cloud.

Radius = k x Time (in the cloud)

k is the constant of proportionality

R = k x T

0.5 = k x 10

k = 0.5/10

k = 0.05

Formula: R = 0.05 x T

1.25 = 0.05 x T

Time = 1.25/0.05

Time = 25 seconds.

Hope this helps :) !

8 0
2 years ago
If line d intersects plane f, then how many points on line d also lie on plane f?
Pachacha [2.7K]
I think the answer would be one point

5 0
3 years ago
Read 2 more answers
A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?
xenn [34]

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

<h2>Vs = 4/3 Vc</h2>

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

8 0
2 years ago
A collection of five coins has a value of $1 and consists of dimes and
DENIUS [597]

For this case we propose a system of equations. We have to:

x: Let the variable that represents the number of dimes

y: Let the variable that represents the number of quaters

We know that:

One dime equals 10 cents, $0.10

A quater equals 0.25 cents, $0.25

According to the statement we have:

x + y = 5\\0.10x + 0.25y = 1

We multiply the first equation by -0.10:

-0.10x-0.10y = -0.5

We have the following equivalent system:

-0.10x-0.10y = -0.5\\0.10x + 0.25y = 1

We add the equations:

-0.10x + 0.10x-010y + 0.25y = -0.5 + 1\\0.15y = 0.5\\y = \frac {0.5}{0.15}\\y = 3.33

Approximately 3 quater coins

x = 5-y = 5-3 = 2

And two dimes

Answer:

3 quater

2 dimes

4 0
3 years ago
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