Answer:
55%
Step-by-step explanation:
Since the perimeter of the square is 40, its side length is 40/4 = 10, so its area is 100.
To find the percentage of the shaded area, I am going to find the unshaded areas, which consist of 2 triangles.
The one on the left has lengths of 10(side length of the square) and 3(10-7), which means it has an area of 10*3/2 = 15.
The one on the right has lengths of 10(side length of the square) and 6(10-4), which means it has an area of 10*6/2 = 30.
That means the unshaded area is 15+30 = 45.
To find the shaded area, just subtract 45(unshaded area) from 100(area of square), which is 55 cm^2.
55 cm^2 is exactly 55% of 100, so the answer is 55%.
I hope this helped you.
Answer:
135y/o
105years apart
Step-by-step explanation:
Assuming that every mother in the family has their child at 15, Jessica‘s great great great great great great grandma is 135 (45 +15years for every 'great')
Jessica is fifteen (fifteen years younger than her mom, who is 30), so she and her great great great great great great grandma are 105 years apart.
Answer:
y=tan x and y=cotx
Step-by-step explanation:
We are given functions of all trignometric ratios and asked to find out which has range of all real numbers. Let us discuss one by one
1. y =sinx: False because -1≤sinx≤1 always
2. y=cosx:False because -1≤cosx≤1 always
3. y = tanx: True because tanx can take any value
4. y=cot x: True because cots x can take any value
5. y = csc x: False because this range does not lie between -1 and 1
6. y=sec xFalse because this range does not lie between -1 and 1