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loris [4]
3 years ago
5

Find all solutions of the equation in the interval [0, 2pi) cosx (2 sinx+1)=0

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Answer:

x = pi/2 and 11pi/6

Step-by-step explanation:

Given the trigonometry expression

cosx (2 sinx+1)=0

This can be written in two forms as;

cosx  = 0 and 2sinx + 1 =  0

If cos x  = 0

x = arccos0

x = 90degrees

x = pi/2

Similarly

2sinx  + 1 = 0

2sinx = -1

sinx = -1/2

sinx  =-0.5

x = aarcsin(-0.5)

x = -30

Since sin is negative in the third and 4th quadrant

x = 270 + 30

x = 330degrees

x = 330pi/180

x = 11pi/6

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Every bike at a sports store is on sale for 25% off the regular price. About how much would a bike cost that regularly sells for
julsineya [31]

Answer:

The bike will cost $108.75

Step-by-step explanation:

In order to find the amount, you must multiply the cost by the percentage being paid. Since the mark down is 25%, you are paying 75% of the overall cost. So multiply 75% by $145.

75% * $145 = $108.75

5 0
4 years ago
HELP ME FAST BECAUSE I AM TIMED
worty [1.4K]
We know that , in a circle radius perpendicular to chord will bisect the chord. 
OM=18, so OQ=QM=18/2=9.
 Given QU=8
from figure OQU is a right angled triangle , so OU^2=OQ^2 + QU^2
OU^2 = 9*9 + 8*8 = 81+72=153;
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From given statements of congruent NT and OU will also be congruent or identical. So, NT=OU=13
6 0
3 years ago
A 12 foot by 8 foot rug covers the hardwood floor of a room. The rug leaves a uniform
trapecia [35]

Answer: 2(12 × 8)

Step-by-step explanation:

The area of the rug will be gotten by multiplying the length by its width. This will be:

= 12 foot × 8 foot

= 96feet²

Since the area of the room is twice the area of the rug, the equation you will use to solve for x will be:

= 2(12 × 8)

= 2(96)

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4 0
3 years ago
Use the figure below to complete the sentence <br><br> Please help me out
MAXImum [283]

Answer:

acute angles//// 40°

Step-by-step explanation:

I'm pretty much guessing with the second part.

7 0
3 years ago
Solve for x. show work please!! 30 points &lt;3
Musya8 [376]

Answer:

Step-by-step explanation:

Sum of all angles of a triangle = 180

x + 64 + x + 45 + 79 = 180

Combine like terms.

2x + 188 = 180

2x = 180 - 188

2x = - 8

x = -8/2

x = -4

x + 64 = -4 + 64 = 60

x  + 45 = -4 + 45 = 41

3 0
3 years ago
Read 2 more answers
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