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3 years ago

Solve the following trigonometric question: cos x=3 cos x-2

Mathematics

1 answer:

bija089 [108]3 years ago

3 0

Answer:

x = 0°

Step-by-step explanation:

$\cos x = 3 \cos x - 2 \\ 2 = 3 \cos x - \cos x \\ 2 = 2\cos x \\ \cos x = \frac{2}{2} \\ \cos x =1 \\ \cos x =\cos 0 \degree \\ \huge \red{ \boxed{x = 0 \degree}} \\$

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On Tuesday afternoon at camp, Connor did archery and sailing before dinner. Archery started at 12:00 P.M. Connor spent 1 hour an

horsena [70]

Answer:

Sailing end at 3:15 AM

Step-by-step explanation:

Connor did archery and sailing before dinner (in that order).

He started at 12:00 PM

We know that:

In archery, Connor spent 1 hour and 15 minutes

In sailing, Connor spent 2 hours.

The total time spent is:

1 hour + 15 minutes + 2 hours

3 hours + 15 minutes.

Then sailing end 3 hours and 15 minutes after 12:00 pm = 0:00 am, this is:

3:15 AM

Sailing end at 3:15 AM

8 0

2 years ago

A child’s swimming pool holds 168 gallons of water. Water leaked out of the pool at a rate of 8 gallons every 6 hours. At this r

Vlad1618 [11]

Answer:

126 hours. aka 5.25 days.

Step-by-step explanation:

168/ amount of time will leak until empty = 21

21 x 6 hours each time. :)

3 0

3 years ago

WILL GIVE BRAINLIEST!!

taurus [48]

3(-1)+3(0)=-3
-2(-1)+0=2
The answer is the first one

7 0

2 years ago

Read 2 more answers

Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 60 inches long and cuts it into

Alex_Xolod [135]

Answer:

a) the length of the wire for the circle = $(\frac{60\pi }{\pi+4}) in$

b)the length of the wire for the square = $(\frac{240}{\pi+4}) in$

c) the smallest possible area = 126.02 in² into two decimal places

Step-by-step explanation:

If one piece of wire for the square is y; and another piece of wire for circle is (60-y).

Then; we can say; let the side of the square be b

so 4(b)=y

b= $\frac{y}{4}$

Area of the square which is L² can now be said to be;

$A_S=(\frac{y}{4})^2 = \frac{y^2}{16}$

On the otherhand; let the radius (r) of the circle be;

2πr = 60-y

$r = \frac{60-y}{2\pi }$

Area of the circle which is πr² can now be;

$A_C= \pi (\frac{60-y}{2\pi } )^2$

$=( \frac{60-y}{4\pi } )^2$

Total Area (A);

A = $A_S+A_C$

= $\frac{y^2}{16} +(\frac{60-y}{4\pi } )^2$

For the smallest possible area; $\frac{dA}{dy}=0$

∴ $\frac{2y}{16}+\frac{2(60-y)(-1)}{4\pi}=0$

If we divide through with (2) and each entity move to the opposite side; we have:

$\frac{y}{18}=\frac{(60-y)}{2\pi}$

By cross multiplying; we have:

2πy = 480 - 8y

collect like terms

(2π + 8) y = 480

which can be reduced to (π + 4)y = 240 by dividing through with 2

$y= \frac{240}{\pi+4}$

∴ since $y= \frac{240}{\pi+4}$ , we can determine for the length of the circle ;

60-y can now be;

= $60-\frac{240}{\pi+4}$

= $\frac{(\pi+4)*60-240}{\pi+40}$

= $\frac{60\pi+240-240}{\pi+4}$

= $(\frac{60\pi}{\pi+4})in$

also, the length of wire for the square (y) ; $y= (\frac{240}{\pi+4})in$

The smallest possible area (A) = $\frac{1}{16} (\frac{240}{\pi+4})^2+(\frac{60\pi}{\pi+y})^2(\frac{1}{4\pi})$

= 126.0223095 in²

≅ 126.02 in² ( to two decimal places)

4 0

3 years ago

Twice a number x increased by 10 is 52

musickatia [10]

Answer:

x = 21

Step-by-step explanation:

the equation is 2x + 10 = 52

2x = 42

x = 21

4 0

2 years ago