Answer:
The all solution of given trigonometrical equation is + 2πn .
Step-by-step explanation:
Given trigonometrical equation as :
7 - 14 sin x + 2 = - 5
Now, Rearranging the equation
7 - 14 sin x + 2 + 5 = 0
Or, 7 - 14 sin x + 7 = 0.
Taking 7 as common
So, - 2 sin x + 1 = 0.
∵The standard form of quadratic equation
a x² + b x + c = 0
So, breaking the mid term we get
- sin x - sin x + 1 = 0.
Or, sin x (sin x - 1) - 1 (sin x - 1) = 0
Or, (sin x - 1) (sin x - 1) = 0
Or, (sin x -1) = 0 and (sin x - 1) = 0
So, sin x = 1
∴ x =
i.e x = 90°
Or, ∠x =
And for all solution + 2πn , where n∈ 0 to ....
Hence, The all solution of given trigonometrical equation is + 2πn . Answer
48/3= 16 (cups)
16+16= 32 (twice as many plates)
So it would be 16
Answer:
Step-by-step explanation:
This is an inverse proportion.
men = k / Time So first we need to find k
k = men * Time Substitute values
k = 15*80
k = 1200 Notice the units are man days.
Now what happens if we increase the number of men to 20? What happens to the number of days.
20 = 1200 / time Multiply both sides by time
20*time = 1200 Now divide by 20
time = 1200/20
Answer: time = 60 days
Answer:
the answer is a= -20
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Answer:
The midpoint is ( 7,5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinate of the endpoints and divide by 2
( 4+10)/2 = 14/2 = 7
To find the y coordinate of the midpoint, add the y coordinate of the endpoints and divide by 2
(8+2)/2 = 10/2 = 5
The midpoint is ( 7,5)