Answer:
1/35
Step-by-step explanation:
We can use proportion.
5 dresses --- 1/7
1 dress ---- x
x = 1*1/7: 5= 1/7 *1/5 = 1/35
You have to figure it out. First, the sum of the angles in a polygon = n-2(180) where n is the number of sides. For a pentagon, this is 5-2(180)=540. then divide by 5 for each of 5 large angles in the pentagon, and then divide by 2 for the angle formed by the radius in the right angle. This is 540/5=108 divided by 2 = 54 degrees in the right angle. Now that you know the angle , then use trig to solve the problem...
Answer:
(- 1, 4 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3 → (1)
y = x + 5 → (2)
Substitute y = x² + 3 into (2)
x² + 3 = x + 5 ← subtract x + 5 from both sides
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 2 : y = 2 + 5 = 7 ⇒ (2, 7 )
x = - 1 : y = - 1 + 5 = 4 ⇒ (- 1, 4 )
After the first day, 1/3 of the original amount remained:
... (1/3)·45 = 15
After the second day, 2/3 of that amount remained:
... (2/3)·15 = 10
The bookstore has 10 copies left.
