Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
5 action+4 comedy+3 drama= <u>12 </u>total movies
<u>12 will be the denominator of our fraction. </u>
<u>The question asks: What is the probability that the movie she selects is NOT a drama?</u>
<u>So, we add the number of action and comedy movies. </u>
5+4=<u>9</u>
9 is our numerator.
<u>But wait! We have to simplify the fraction 9/12!</u>
9 divided by 3= 3
12 divided by 3= 4
Reduced answer: 3/4
This is a tricky question to answer without diagrams and there are useful videos online. A regular triangular prism has an equilateral triangle as its base with edge length 7cm, forming a prism with a total height of 11cm. We wish to calculate the area of the 3 equal triangular faces.
The formula for area of a triangle is 0.5 x base x height. We have the base (7cm) but the problem is we do not have the height (or slant length) of the lateral faces, we only have the height of the entire prism. We must first calculate the slant length by building a triangle inside the prism which goes from the centroid of the base (the inradius) to the centre of an edge. As the base is an equilateral triangle finding the inradius is much more difficult than for a square pyramid.
inradius = 1/6 x (SQRT of 3) x length
inradius = 1/6 x (SQRT of 3) x 7cm = 2cm
We now have a right angle triangle with base = inradius, height = height of prism, and hypotenuse = slant length we need.
Use pythag to calculate hypotenuse a^2 + b^2 = c^2
2^2 + 11^2 = c^2
4 + 121 = c^2
c= SQRT(125) = 11.18cm
We now have the missing slant length or height of the lateral triangles of the prism. We can find the area of one face and multiply it by 3 to get the total surface area of the lateral faces of the pyramid.
base = 7cm
height = 11.18cm
area of triangle = 0.5 x 7 x 11.18 = 39.13cm^2
Multiply this area by 3 to get the sum of all 3 lateral triangle surface areas, total area = 117.39cm^2
ANSWER
See explanation
EXPLANATION
The standard form of a quadratic equation is:
To convert this function to standard form, you follow the steps below:
- Factor 'a' from the variable terms
- Add and subtract the square of half the coefficient of x.
- Factor the perfect squares
- Simplify the constant terms to get the vertex form as
For example:
Given the standard form:
Factor 2 from the variable terms
Add and subtract the square of 3.
Factor the perfect square an simplify
This is the vertex form
Step-by-step explanation:
hope I understand your question
a = 9/12
b = 6/5
c = 1/12
please simplify the fractions by yourself
