Answer:t= 9
Step-by-step explanation: 10t =90
divide 10 on both sides
so 10t /10 and 90/10
which means t=9
If you didn't change the slope of the line, but you moved it
down 6 units on the graph, then its y-intercept would become
6 less. The equation of the new line would be ...
y = 1/3 x - 16 .
Answer:
NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Explain the converse of the Pythagorean theorem.
A.
The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is less than the square of its hypotenuse.
<u>B. </u>
<u>The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
</u>
C.
The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
D.
The converse of the Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.
Step-by-step explanation:
Answer:
the distance of the Bird (B) from the plane (P) is = 10779 ft
Step-by-step explanation:
From the given information:
a diagrammatic representation is attached below for better understanding and solution to the question.
From the diagram;
Let the Bird (B) be represent as A
The plane (P) be represented by B
The observer be represented by O
and the tower T be represented by C
we will see that:
Also;
AO = BC = 7000
Let consider the trigonometry of triangle BAO
tan θ = opposite/adjacent
tan 33° = 7000/x
0.6494 = 7000/x
x = 7000/0.6494
x = 10779.18
x = 10779 ft ( to the nearest whole number)
Thus; the distance of the Bird (B) from the plane (P) is = 10779 ft
Answer:
Step-by-step explanation:
Given that customers arrat a service window according to a poisson process with an average of 0.2 per minute
= 12 per hour.
a) the probability that the time between two successive arrivals is less than 6 minutes
= For one hour more than 60/6 =10 customers arrive.
P(X>10) = 0.6528
b) Prob that there will be exactly three arrivals during a given 10-minute period
P(x=3) for average 2
= 0.1804
