Answer:
Step-by-step explanation:
If two rectangles are similar, then corresponding sides are in proportion.
Therefore we have the equation:
cross multiply
divide both sides by 54
Answer:
Step-by-step explanation:
This is a right triangle problem. The reference angle is x, the side opposite the reference angle is 32, and the hypotenuse is 58. The trig ratio that relates the side opposite a reference angle to the hypotenuse is the sin. Filling in accordingly:
Because you are looking for a missing angle, you will use your 2nd button and then the sin button to see on your display:
Within the parenthesis enter the 32/58 and you'll get your angle measure. Make sure your calculator is in degree mode, not radian mode!!!
Answer:
area of triangle = 135 mm²
Step-by-step explanation:
Area of a triangle = 1/2 × b × h
Area of a triangle = 1/2 × 27 × 10
Area of a triangle = 135 mm²
Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle
Answer:
86400 ways
Step-by-step explanation:
Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.
Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.
After picking the places for the women, we will now fill each gap between two women with a man.
We have 6 men. Thus, number of ways to arrange the men is 6!
Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways
