Answer:
Height of tree is <em>15 m.</em>
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Step-by-step explanation:
Given that student is 20 m away from the foot of tree.
and table is 1.5 m above the ground.
The angle of elevation is: 34°28'
Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.
AB = CP = 20 m
CA = PB = 1.5 m
= 34°28' = 34.46°
To find TB = ?
we can use trigonometric function tangent to find TP in right angled
Now, adding PB to TP will give us the height of tree, TB
Now, height of tree TB = TP + PB
TB = 13.72 + 1.5 = 15.22 <em>15 m</em>
Answer:
The amazon stock increases 21 units during the first 6 hours.
Step-by-step explanation:
We are given the following in the question:
Value of share of Amazon stock = 225 units
Rate of increase of stock = 3.50 units per hour during the first six hours
Thus, the value of share stock can be given by the equation:
where x is the number of hours.
During first six hours, the value of stock is given by putting x = 6 in the equation:
Increase during first 6 hours =
Thus, the amazon stock increases 21 units during the first 6 hours.
Answer:
The expected number of people identified as telepathic if everyone is just guessing in a sample of 500 = 100 (option B)
Step-by-step explanation:
If everyone is just guessing, the number of right answers will be due to random chance. And if that is so, the central limit theorem explains that the sample proportion of a random, independent sample is approximately equal to the population proportion or the overall proportion due to random chance.
That is,
p = p₀ = 0.20
Expexted number of successes from a sample = Mean = μ = np
where n = sample size = 500
p = sample proportion = 0.20
Mean = 500 × 0.20 = 100
Hope this Helps!!!
Answer:
y = 4/5 x - 2
Step-by-step explanation:
Slope:
y₂ - y₁ / x₂ - x₁
6 - 2 / 10 - 5
4 / 5
y = 4/5 x + b
Solve for b by substituting one of the point's coordinate to the equation:
I'll use (5,2)
y = 4/5 x + b
(2) = 4/5 (5) + b
2 = 4 + b
2 - 4 = b
-2 = b
y = 4/5 x - 2