Answer:
(12-7x)
Step-by-step explanation:
144 − 49x²
by observation, we can see that 144 = 12² and 49 = 7²
hence we can rewrite the equation
144 − 49x²
= 12² - 7²x²
= 12² - (7x)²
recall that the expression x² - y² = (x+y)(x-y)
hence,
12² - (7x)²
= (12 + 7x)(12-7x)
(12-7x) appears in the expression above, hence 12 -7x is a factor
Answer:
99.9973 %
Step-by-step explanation:
This is a binomial probability distribution.
Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.
Since there are 3 welds and we require at least one being defective, our binomial probability is
P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × 0.000027 × 1 = 1 - 0.000027 = 0.999973 × 100% = 99.9973%
The surface area of a rectangular prism needs an formula.
For a rectangular prism you have to understand some about the shape.
It is a 3D shape consisting of 6 sides
all are rectangles
to determine the area of one rectangle is the base multiplied by the height or in this case length times with.
but you also need to account for all sides and the height.
so the Surface area formula would be like

this accounts for 3 of the sides of the rectangular prism.
the top,bottom,and side.
so to get the surface area of a rectangle prism you must mutiply each side by 2 to account for all sides of the rectangular prism.
so the surface area formula for a rectangular prism is

I won't solve it for you but just plug in your values for l,w,and h into that formula and you will get your answer in metres squared or m
Answer:
4.6
Step-by-step explanation:
Answer:
The perimeter of triangle is 30ft.
Step-by-step explanation:
First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :



Let b = 12,
Let c = 13,



Next you have to find the perimeter of triangle by adding all the sides together :

