2x = 2√17 and 3x = 3√17
Step-by-step explanation:
- Step 1: Given length of the rectangle is 3x and breadth is 2x. Area is 102 m². Area of the rectangle = length × breadth
102 = 2x × 3x = 6x²
x² = 102/6 = 17
x = √17
Length 2x = 2√17 and Breadth = 3x = 3√17
An equation of direct variation is something like
If we have a value for x and y, we simply have to plug these values and see which constant k suits our case:
So, the relation
is a relation of direct variation and it includes the point (-10,-17).
Answer:
33.04% probability that exactly five of them are black
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the buttons are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
Five black buttons, from a set of 10
Four brown buttons, from a set of 6.
Total outcomes:
Nine buttons, from a set of 16.
Probability:
33.04% probability that exactly five of them are black
knowing angle b is 45 to find length of c
then both leg are the same length
so c = square root of 11^2 + 11^2 = 15.56