The distance between point M and point is is about 8.06 units (rounded to nearest hundredth)
107.75mThis is a trigonometric ratio problem. the angle of depression (10) is opposite the height (19m) and the distance is adjacent to the distance (x). opposite ad adjacent sides to the angle is a tangent problem.
plus in values, we know.
switch tan(10) and x using the products property.
plug in to calulator to get answer
x=107.75
Answer: Variant C
Step-by-step explanation:
f(x) = 3x^2 − 4
For finding f(-2) just replace x with - 2 like this:
f(-2)=3*((-2))^2-4=3*4-4=12-4=8
Answer:
The sample space is
{}
Step-by-step explanation:
The sample space refers to the set of all the possible outcomes.
The possible outcomes are:
Head and blue ball: BH
Head and green ball: GH
Head and yellow ball: YH
Head and orange ball: OH
Tail and blue ball: BT
Tail and green ball: GT
Tail and yellow ball:YT
Tail and orange ball: OT
The sample space is
{}
9514 1404 393
Answer:
24 cm²
Step-by-step explanation:
To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...
P = 2(AB +BC)
BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm
Then CD is ...
CD = BD -BC = 9 cm -4 cm = 5 cm
The area of the trapezium is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²
The area of trapezium CDEF is 24 cm².