Answer:
9.8 ( to the nearest tenth )
Step-by-step explanation:
calculate the distance using the distance formula
d = √( x₂ - x₁ )² + ( y₂ - y₁ )²
with (x₁, y₁ ) = (- 7, - 5) and (x₂, y₂ ) = (- 3, 4)
d = = = = 9.8
The answer is 304.8 millimetres
For this item, I will assume that we are required to give the area of the dilated triangle. By dilated we mean to say that the dimensions of the second triangle is 6 times that of the first. We square 6 and them multiply this to the area of the original triangle to get the area of the second. That is,
area of second triangle = (2/3 cm²)(6²) = 24 cm²
Thus, the area of the new triangle is equal to 24 cm².
Answer:
Step-by-step explanation:
We want to write the trignometric expression:
As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:
Take the secant of both sides:
Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:
By substitutition:
Using an double-angle identity:
We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:
Simplify. Therefore:
Answer:
0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
What is the probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random?
There are 5 freshman non-Statistics majors out of 102 students.
Then, there will be 18 junior statistics majors out of 101 students(1 will have already been chosen). So
0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random