Answer:
10
Step-by-step explanation:
AB + BC = AC and AC = 14
x + 15 + 2x + 32 = 14 add like terms
3x + 47 = 14 subtract 47 from both sides
3x = -33 divide both sides by 3
x = -11 now the length of BC
2x + 32 replace x with -11
2*(-11) + 32 = 10
2, 5, 8, 11, 14 is an arithmetic sequence
Answer:
z = 0.9778x^2 / y.
Step-by-step explanation:
When z varies with the square of x the equation is z = kx^2 where k = a constant.
If it also varies inversely with y the equation is z = kx^2/y.
When z = 4.4 , x = 3 and y = 2 we have:-
4.4 = k * 3^2 / 2
Multiplying by 2:
8.8 = 9k
k = 8.8 / 9
= 0.9778.
So the required formula is z = 0.9778x^2 / y.
The right answer for the question that is being asked and shown above is that:
There are...
15 * 14 * 13 * 12 ways in order to know the four finalists.
This is equal to 32,760 ways i n order to know the four finalists.
First find the area of the triangle at the end.
Area of a triangle is 1/2 x base x height.
The triangle is a right triangle with a base of 4 and height of 3
area = 1/2 x 4 x 3 = 6 square cm
Now to find the volume multiply the area of the triangle by the length of the prism.
volume = 6 square cm x 11 cm = 66 cubic cm.
answer: 66 cm^3
