6. 20 ft Below sea level is -20 and 15 ft. Below sea level is -15, add -20+-15 (the new integer is -35)
<span>3-2(Cosx)^2 - 3Sinx = 0.
Recall (Sinx)^2 + (Cosx)^2 = 1.
Therefore (Cosx)^2 = 1 - (Sinx)^2
Substitute this into the question above.
</span><span>3-2(Cosx)^2 - 3Sinx = 0
3 - 2(1 - (Sinx)^2) - 3Sinx = 0 Expand
3 - 2 + 2(Sinx)^2 - </span><span><span>3Sinx = 0</span>
1 + 2(</span><span>Sinx)^2 - 3Sinx = 0 Rearrange
2(Sinx)^2 </span><span><span>- 3Sinx + </span>1 = 0
Let p = Sinx
2p^2 - 3p + 1 = 0 Factorise the quadratic expression
2p^2 - p - 2p +1 = 0
p(2p -1) - 1(2p -1) = 0
(2p-1)(p -1) = 0
Therefore 2p-1=0 or (p-1) = 0
2p=0+1 or (p-1) = 0
2p=1 or p = 0 +1.
p=1/2 or p = 1 Recall p = Sinx
Therefore Sinx = 1/2 or 1.
For 0<u><</u>x<u><</u>360
Sinx =1/2, x = Sin inverse (1/2) , x = 30,
(180-30)- 2nd Quadrant = 150 deg
Sinx = 1, x = Sin inverse (1) , x = 90
Therefore x = 30,90 & 150 degrees.
Cheers.</span>
Answer:
The enlarged image will be about 4.8 inches
Step-by-step explanation:
Here, we want to know how tall the image will be
Mathematically;
That will simply be 160% of 3 inches
We have;
160/100 * 3 = 480/100 = 4.8 inches
The value of the expression will be 8.166.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mathematical expression is,
⇒ 13.41 x (5.4 divided by 9)
Now,
Solve the expression as;
⇒ 13.41 x (5.4 divided by 9)
⇒ 13.41 x (5.4 ÷ 9)
⇒ 13.41 x 0.6
⇒ 8.166
Thus, The value of the expression will be 8.166.
Learn more about the expression visit:
brainly.com/question/4344214
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