There are two triangles, a big triangle and a small triangle that is inside the big triangle. Because the base of the triangles are parallel to each other( indicated by the arrow), and the small triangle is perfectly inside the bigger triangle, the sides of the triangles are proportional.
It is know that the base of the small triangle is 3.5, and the hypotenuse of the small triangle is 7cm. it is also known that the the hypotenuse of the big triangle is (7+8)=15 and the base of the big triangle is unknown.
Since the triangles are proportional,
to find the base of the big triangle
base(big)/hypotenuse(big)=base(small)/hypotenuse(small)
Plug in the numbers
x/15=3.5/7
x/15=1/2
x=15/2
x=7.5
The length of the base of the big triangle is 7.5cm
Answer:
The probability that all three batteries would fail is given as:
= 0.000125
Step-by-step explanation:
Given that the probability of the new battery failing = 1/20 or 0.05,
Therefore, the probability that all three batteries would fail is given as:
= Probability of battery A failing * Probability of battery B failing * Probability of battery C failing
= P(A)*P(B)*P(C)
= 0.05 * 0.05 * 0.05
= 0.000125
Answer: 36 units squared.
Explanation:
Area of a traingle is given by,
| 0.5{x1(y2-y3) + x2(y3-y1) + x3(y1-y2)} |
Accepting the values of the coordinates in x's and y's,
x1 =0, y1=0
x2=3, y2=8
x3 =9, y3=0
= | 0.5 × (-72)|
= 36 unit squared.
Well according to the slope intercept equation.
Y = mx +/- b
The slope is the value m
The y intercept is b
To graph the function, one sure way to do it is simply make a table of values picking any x values that fall within the graph space, and finding out the resulting y values and using the points to graph.
For instance for the first graph, if x = 0, y = 5, that is one possible point. Keep on choosing x values to graph.
