Steve will have to buy "6.25" bags of apples if he wants to give one apple to each student.
Explanation:
75 divided by 12 = 6.25
A. As sun peeks, it creates a straight line- sun to tree to shadow, angle=180°
b. During morning, the sun-tree-shadow changes from 180° to 90°, during noon, angle =90°.During sunset the angle changes from 90 to 0°.
c. Acute angles created in afternoon.
d. A right angle would be created at noon.
e. Obtuse angle would be created in morning.
f. Yes, a straight angle would be created at sunrise.
g. When sun is at mid-morning, the angle=45°+90°= 135°
Answer:
Step-by-step explanation:
Given is a trignometric equation in x, as
TO make it in one trig ratio, we can replace sin2x as 2sinx cosx
WE get now
Principal solution is
x = ±π/2 + 2kπ, where k is any integer or
x=±pi/6 +k pi, where k is any integer.
General solution is
Answer (2x + 7) • (x2 - 2)
Step-by-step explanation:
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Step by step solution :
Step 1 :
Trying to factor as a Difference of Squares :
1.1 Factoring: x2-2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 2 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.
Final result :
(2x + 7) • (x2 - 2)