Answer:
First notice that θ is in quadrant I, where the sine and tangent will also be positive.
Then draw the angle in quadrant I. Drop a perpendicular to the x axis.
Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.
Then sinθ=vertical/hypotenuse= 24/25 and tanθ= vertical/horizontal= 24/7
Step-by-step explanation:
A) Isolate y in both inequalities
1) x + y ≥ 4 => y ≥ 4 - x
2) y < 2x - 3
B) Draw the lines for the following equalities:
1) y = 4 - x
2) y = 2x - 3
C) Shade the regions of solutions
1) The region that is over the line y = 4 - x
2) The region that is below the line y = 2x - 3
The solution is the intersection of both regions; this is the sector between both lines that is to the right of the intersection point, including the portion of the very line y = 4 - x and excluding the portion of the very line y = 2x - 3
Answer: the answer is d pls give brainlEst
Step-by-step explanation:im sorry i guess my math was wronge
-- The area of the long skinny piece on top is (6 x 33) = 198
-- The length of the dotted line between the top and bottom pieces is (33-21) = 12
-- The area of the bottom piece is (12 x 15) = 180
-- The area of the whole thing is (198 + 180) = 378
-- The perimeter of the whole thing is (33 + 6 + 21 + 15 + 12 + 15 + 6) = 108
I drew it out below (don't you just love my effort? XD)
You're gonna use the sine trig function to find the length of the shadow
sin26 / 1 = 43 / x; now you cross multiply
sin26 x = 43; divide both sides by sin26
x = 43 / sin26
x = 98 which is the shadow
Hope this helps!
