Answer:
=fx-gx
Step-by-step explanation:
Apply the distribute law
Remove Parentheses
Answer found
Answer: =fx-gx
<em><u>Hope this helps.</u></em>
She can get 12 books from the store.
work: use the ratio 2:3
hope it helps
Answer:
a = 1√6
b = -2
Step-by-step explanation:
Hello,
To solve this trigonometric problem, we need to convert this values into fractions
a).
Sin45° = 1/√2
cos30° = √3/2
Sin60° = √3/2
Sin45° / (cos30° + sin60°) = [(1/√2) ÷ (√3/2 + √3/2)]
(1/√2) ÷ (√3/2 + √3/2)
Add √3/2 + √3/2
1/√2 ÷ 2√3/2
1/√2 × 2/2√3
2/2√(2×3)
2/2√6
1/√6
b
Cos 180° = -1
Sin150° = ½
Tan135° = -1
2cos180° - 2sin150° - tan135°
(2 × -1) - (2×½) - (-1)
-2 - 1 + 1 = -2
Answer: 54.4°
Step-by-step explanation:
If the spotlight is mounted 7.3 meters high, its height will be 7.3meters.
If A is 10.2 meters from the base of the pole, the base of the pole to the parking area will be 10.2meters
The angle of the depression will be facing the base directly therefore, the base will be the opposite of the triangle formed and the height of 7.3m will be the adjacent.
To get the depression angle, we use the trigonometry identity SOH, CAH, TOA
Since we have opposite and adjacent, we will use "TOA" which means
Tan theta = Opposite/Adjacent
Opposite = 10.2m Adjacent = 7.3
Tan theta = 10.2/7.3
Tan theta = 1.39
theta = arctan 1.39
Theta = 54.4°
The angle of depression that the spotlight should aim at is 54.4°
