Answer:
x = 88.2
Step-by-step explanation:
The angle at the top of the triangle = 90° - 10° = 80°
and the left side of the triangle is x ( opposite sides of a rectangle )
Using the tangent ratio in the right triangle
tan80° = 
= 
Multiply both sides by x
x × tan80° = 500 ( divide both sides by tan80° )
x = 
≈ 88.2
Answer:
A. t(x) = 450 - 0.06x
Step-by-step explanation:
The layer which is originally 450 m thick is decreasing by 0.06 m.
450 - 0.06
... per day. x represents days.
0.06x
So,
450 - 0.06x
Answer:
Step-by-step explanation:
AD = 4
AC = 11
DC = 11 - 4 = 7
First, find BD using the right triangle altitude theorem:
Plug in the values
Use pythagorean theorem to find x:
x² = AD² + BD²
Plug in the values
Take the square root of both sides
Given:
Two diameters intersect each other.
To find:
The correct statement regarding two adjacent arcs created by two intersecting diameters.
Solution:
We know that, two diameter intersect each other at origin and measure of arc is equal to the corresponding angle generated by the intersection of diameters.
If two lines intersect each other then we get 4 angles and sum of any two adjacent angles is 180°.
It means the sum of any two adjacent central angles generated by the intersection of diameters is 180°.
So, the sum of two adjacent arcs created by two intersecting diameters is 180°.
Therefore, the correct option is C.
Answer:
P(x > 10) = 0.6981.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this question:
P(x>10)
In which
So P(x > 10) = 0.6981.
