Answer:
The triangle is an obtuse scalene triangle
Step-by-step explanation:
we know that
if
--------> is a right triangle
if
--------> is an obtuse triangle
if
--------> is an acute triangle
where
c is the greater side
we have



so
so
-------> is an obtuse triangle
Remember that
The given triangle has three different length side
so
Is a scalene triangle
therefore
The triangle is an obtuse scalene triangle
Here is something to keep in mind.
when there is a downward slope, the slope will ALWAYS have a negative slope. even if it is above the x-axis. negative slopes will tend to go from positive y-axis to negative y-axis
so personally would have to go with -4
because the x-axis is by 4 each time. and this slope is going downward.
your answer will be D
Answer:
10.55% probability
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.
1 Bach CD, from a set of 4.
1 Beethoven CD, from a set of 6.
1 Brahms CD, from a set of 3.
1 Handel CD, from a set of 2.
So, D=144
4 CDs from a set of 4+6+3+2 = 15.
So, T= 1365
p= D/T= 144/1365 = 0.1055
10.55% probability that she will choose one by each composer
Answer:
72 yrs old.
Step-by-step explanation:
The combined age
D+O=96
The owner is 3 times older than dog
O=3D
D+3D=96
4D = 96
D= 24
Now substitute the value of D in O=3D
O=3.24= 72
The owner is 72 years old.
Answer:
,
,
and 
Step-by-step explanation:
Here, x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.
Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.
⇒ 
She ran on her wheel at least twice as long as she scratched at the corners of her cage.
⇒ 
Also, She spent more than 1/4 hour running on her wheel.
⇒ 
And, we know that number of hours can not be negative.
⇒
Therefore, the complete system of inequality which shows the given situation is,
,
and
, 
Note: the feasible region ( covered by the given system) is shown in the below graph.