Answer:
x ≈ 8.99
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides in a right triangle. Here, the geometry of the problem can be modeled by a right triangle. We are given one side and want to find the difference in lengths of the other side for two different angles.
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<h3>setup</h3>
The tower height is the side opposite the angle of elevation. The distance from the tower to the end of the shadow is the side adjacent to the angle of elevation, so the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(angle of elevation) = (tower height)/(length of shadow)
Solving for the length of shadow, we have ...
length of shadow = (tower height)/tan(angle of elevation)
The difference in shadow lengths is 2x for the two different angles, so we have ...
2x = 24.57/tan(30°) -24.57/tan(45°)
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<h3>solution</h3>
Dividing by 2 and factoring out the tower height, we have ...
x = 12.285(1/tan(30°) -1/tan(45°)) = 12.285(√3 -1)
x ≈ 8.993244
The value of x is about 8.99.
Because there are 9 fruits, it should be n/9, depending on the fruit.
Apples are 2/9, so:
The combination for apples would have a probability of 2/9<span />
Answer:
The consecutive negative integers are -3, -4 and -5.
Step-by-step explanation:
Let the three consecutive negative integers be k, (k-1) and (k -2)
Now, according to the question:
6(Largest Integer) = 2( Sum of smaller two Integers)
or, 6 (k) = 2( (k-1) + (k-2))
⇒ 6k = 2(2k -3)
or, 6k = 4k - 6
or, 6k - 4k = -6
or, 2k = -6 ⇒ k = -3
Hence, the largest negative integer = -3
The next two consecutive negative integer are (k-1) and (k-2) = (-3-1) and (-3-2)
= -4 and -5
Hence, the consecutive negative integers are -3, -4 and -5.
Answer:
x=-7/9, y=4/3. (-7/9, 4/3).
Step-by-step explanation:
6x+2y=-2
3x-2y=-5
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9x=-7
x=-7/9
6(-7/9)+2y=-2
-42/9+2y=-2
2y=-2-(-42/9)
2y=-2+42/9
2y=-18/9+42/9
2y=24/9
y=(24/9)/2
y=(24/9)(1/2)
y=24/18
y=4/3
Answer:
Step-by-step explanation:
x/8