Answer: x=-35/10
y=-4
Step-by-step explanation:
y = 3/2x +5/4
-2x+8y=-25
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replace y in second equation with: y = 3/2x +5/4
-2x+8(3/2x+5/4)= -25
-2x+12x+10= -25
10x=-35
x=-35/10
x=-3.5
7+8y= -25
8y=-32
y=-4
4x - 2y = 10
-2y = -4x + 10
y = 4/2x - 10/2
y = 2x - 5 <==
<span>You can select from any of the 8 on the first day, leaving 7 to choose from on the second day, leaving 6 for the third. So, 8 x 7 x 6 x 5 x 4 x 3 x 2 or 8! That's 8factorial, so multiply those out or use a calculator to get 8! and that is your answer.</span>
Answer: option A. 30 °.
Explanation:
1) Draw this triangle: Eyes - Ship A - height of the cliff:
The angle of the vertix where the eyes are is: 90° - depreesion angle = 90° - 60° = 30°.
2) opossite leg = horizontal distance to the ship A = x
3) adjacent leg = height of the cliff = 1500 feet
4) tan(30°) = x / 1500 feet => x = 1500 tan(30°) = 1500 √3 / 3 = 500√3
5) Draw the triangle of the eyes - ship B - hieght of the cliff
6) The unknown is the depression angle of the eyes with ship B, α
7) opposite leg = 500√3 feet + 1000√3 feet = 1500√3 feet
8) adjacent leg = height of the cliff = 1500 feet
9) tan(α) = opposite leg / adjacent leg = 1500√3 / 1500 = √3
10) α = arctan(√3) = 60°
11) Depression angle = 90° - 60° = 30° Which is the answer
Answer:
8 ÷ 2 (2+2)
Step-by-step explanation:
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