Answer:
Jill sold more apples
1 more than Alice
Step-by-step explanation:
Jill sold 40 fruits
Alice sold 40 fruits
15% of Jill's sales is APPLES, that is:
15/100 = 0.15
0.15 * 40 = 6
Jill sold 6 apples.
Now, it is given Alice sold 5 apples.
<em>Who sold more? Of course, Jill.</em>
<em>By how much? 6 - 5 = 1 apple more</em>
if an hour is able to be split up for payment then it will be 1/10 of an hour
Answer:
-2 , -10 & -99
Step-by-step explanation:
1)
⇒ x + 6 = 4
⇒ x = 4-6
⇒ x = (-2)
2)
⇒x - (-4) = -6
⇒ x + 4 = -6
⇒ x = -6-4
⇒ x = -10
3)
⇒2(x-1) = -200
⇒ x - 1 = -200/2
⇒ x - 1 = -100
⇒ x = 1 - 100
⇒ x = (-99)
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
Answer:
Minimum 66 feet of molding that he needs.
Step-by-step explanation:
Given that a square ceiling has a diagonal of 23 ft.
If the sides of the square ceiling are 'a' feet, then applying Pythagoras Theorem we can write, a² + a² = 23²
⇒ 2a² = 23²
⇒ a = 16.2634 feet (Approximate)
Now, the perimeter of the square ceiling will be 4a = 65.05 feet.
If the cost of molding along the perimeter of the ceiling is in per foot, then a minimum of 66 feet of molding that he needs. (Answer)
