Answer:
An Acute triangle
Step-by-step explanation:
An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°).
Let's solve your inequality step-by-step.
−12x−0.4>0.2(36.5x+80)−55
Step 1: Simplify both sides of the inequality.
−12x−0.4>7.3x−39
Step 2: Subtract 7.3x from both sides.
−12x−0.4−7.3x>7.3x−39−7.3x
−19.3x−0.4>−39
Step 3: Add 0.4 to both sides.
−19.3x−0.4+0.4>−39+0.4
−19.3x>−38.6
Step 4: Divide both sides by -19.3.
−19.3x
−19.3
>
−38.6
−19.3
x<2
Answer:
x<2
The 5 th term of the given expression is 330
.
Step-by-step explanation:
Given,

To find the 5th term of the given expression.
Formula
In a binomial series
, the r th term is = nC(r-1)
, where,
nC(r-1) = 
Now,
Putting, n=11, r = r, a=6x and b=6y we get,
5 th term = 11C4
= 

= 

= 330
Here is the answer.
Answer:
9/14.
Step-by-step explanation:
The probability is given as a fraction or percentage.
9:5 odds in favour of a horse winning means the horse will win 9 races for every 5 it does not win.
So the probability that this horse will win is 9/(9+5)
= 9/14.
Given:
In a circle, two chords CE and DU intersect each other inside the circle at B.
Measure of arc CD = 185 degrees.
Measure of arc EU = 55 degrees.
To find:
The measure of angle CBD.
Solution:
Intersecting chords theorem: According to this theorem, if two chords intersect each other inside the circle then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using Intersecting chords theorem, we get




Therefore, the measure of angle CBD is 120 degrees.