Answer:
1/4 or 25%
Step-by-step explanation:
Let's see, we want to know probability of an event in which we roll two even numbers.
"We know that probability is defined as number of desired outcomes divided by all possible outcomes"
e - even number
o - odd number
our desired outcome: (e, e) total of 1
all possible outcomes: (e, e), (e, o), (o, e), (o,o) total of 4
that gives us 1/4
We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
Let
A------> Lincoln, NE
B------> Boulder, CO
C------> third city
we know that
in the triangle ABC
AB=500 miles
BC=200 miles
AC=x
Applying the Triangle Inequality Theorem
1) 500+200 > x------> 700 > x------> x < 700 miles
2) 200+x > 500----> x > 500-200------> x > 300 miles
the solution for x is
300 < x < 700
the interval is------> (300,700)
the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles
The length of AB is 25 units
<h3>How to determine the length AB?</h3>
The given parameters are
AC = 15 cm
BC = 20 cm
The triangle is right -angled at C.
So, we have:
AB^2 = AC^2 + BC^2
This gives
AB^2 = 15^2 + 20^2
Evaluate
AB^2 = 625
Take the square roots
AB = 25
Hence, the length of AB is 25 units
Read more about right triangles at:
brainly.com/question/6322314
#SPJ1
Answer:
10.57 cm²
Step-by-step explanation:
Recall that the area of a triangle is gotten by (1/2)*base*height
If the height of the triangle is 5.45cm and the base is 3.88cm, then the area can be calculated by multiplying the two numbers and dividing it by 2.
5.45*3.88 = 21.146cm²
This still needs to be cut in half (otherwise we are yielding the area of a rectangle with these dimensions)
21.146 cm²/2 = 10.573 cm²
This can be rounded to the nearest hundredth
= 10.57 cm²
