3: t will equal 60°
180 divided by 3 is 60
All you have to do is plug and solve...
2(q+2) + 3q = -26
2q + 4 + 3q = -26
Subtract 4 from the left side and move it to the right...
2q + 4 + 3q = -26
- 4 - 04
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2q + 3q = -30
Now add 3q and 2q together and you get 5q, next divide...
5q = -30
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5 5
Finally, you get q equal to negative 6 (-6)!
Answer:
b ≈ 8.60 ft
Step-by-step explanation:
The formula of a parallelogram is
A = bh
Divide each side by h
b = A/h
b = 62⅓/7¼
b = (187/3) ÷ (29/4)
b = 187/3 × 4/29
b = 748/87
b = 8⁵²/₈₇ ft
b ≈ 8.60 ft
The base of the window is about 8.60 ft long.
Let x be the distance between the plane and the airport.
We have,
Angle of depression = 22°
Altitude = 1800 m
Sin 22° = Opposite/Hypotenuse
=> Sin 22° = Altitude/x
=> Sin 22° = 1800/x
=> x × Sin 22° = 1800
=> x = 1800/Sin 22°
=> x = 1800/0.3746065934
=> x = 4805.04089 m
No need for the diagram (though it helps)
P(AUB) = P(A) + P(B) - P(A and B),
P(A) = 0.61 - 0.41 + 0.18 = 0.38
So, D!!
