Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
9514 1404 393
Answer:
nπ -π/6 . . . for any integer n
Step-by-step explanation:
tan(x) +√3 = -2tan(x) . . . . . given
3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3
tan(x) = -√3/3 . . . . . . . . . . divide by 3
x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x
This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...
x = n·π -π/6 . . . . for any integer n
Answer:
Step-by-step explanation:
1) Isosceles triangle
2) Right angled triangle
3) Scalene triangle
4) Equilateral triangle
5) Right angled triangle
6) Scalene triangle
7) Equilateral triangle
8) Scalene triangle
9) a) Equilateral triangle
9) b) Scalene triangle
9) c) Isosceles triangle
9) d) Right angled triangle
Note: Right angled triangle - If one angle is right angle, then it is Right angled triangle
Isosceles triangle: If two angles or two sides are equal, then it is Isosceles triangle.
Scalene triangle: If all three sides or three angles have different measurement, then it is Scalene triangle.
Equilateral triangle: If all the three sides are equal or all the three angles are equal, then it is Equilateral triangle
Not sure what 14 is asking?
15 would be 16.
The square root of width squared plus length squared equals the diagonal.
So if you just change the order of the equation you can find the length.
Double check it by doing it both ways to see if your answer is right.
Step-by-step explanation:
a. P(mites OR ticks) = P(mites) + P(ticks) − P(mites AND ticks)
P(mites OR ticks) = 0.80 + 0.30 − 0.20
P(mites OR ticks) = 0.90
b. P(no ticks | mites) = P(no ticks AND mites) / P(mites)
P(no ticks | mites) = (0.80 − 0.20) / 0.80
P(no ticks | mites) = 0.75
c. If two events are independent, then P(A and B) = P(A) × P(B).
P(mites AND ticks) = 0.20
P(mites) × P(ticks) = 0.80 × 0.30 = 0.24
They are not independent.
