1. 8(-5/6) = (-5/6)8 illustrates the commutative property of multiplication.
2. 5.4 + 3 = 3 + 5.4 illustrates the commutative property of addition.
<h3>What is the Commutative Property of Multiplication?</h3>
The commutative property of multiplication states that the arrangement of change of numbers that you want to multiply does not change what you would get as the product.
For example, a × b = b × a.
In the same vein, 8(-5/6) = (-5/6)8 illustrates the commutative property of multiplication.
<h3>What is the Commutative Property of Addition?</h3>
The commutative property of addition also states that the order or arrangement of addends will not change the sum you would get.
For example, 3 + 2 = 2 + 3.
Therefore, the statement, 5.4 + 3 = 3 + 5.4 illustrates the commutative property of addition.
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Answer:
12.66666 infinity or 38/3
Step-by-step explanation:
Parentheses first so 5-2 is 3... then multiply so then 12... 12+32-6 is 38. 38 over 3 is 12.6666 infinity or 38/3, cannot be simplified...
Answer:
Step-by-step explanation:
Y = -1/4x+6, when y= 4
Same as saying
4 = -1/4x+6 , where y = 4
Multiply both sides by (4x+6)
4(4x+6) = -1
Opening the parentheses
16x + 24 = -4
16x = -4-24
16x = -28
Divide both sides by 16
X = -28/16
X = - 7/4
Ans = -7/4
The reciprocal of any number is the other number you must multiply it by to equal one. In this case it's 9/2
Answer:
44.73 m
Step-by-step explanation:
Given that the angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees.
Using trigonometry ratio, the height of the tower can be calculated by
Tan Ø = height / base
Tan 25 = height / 120
Make height the subject of formula
Height = 120 × tan 25
Height = 55.96 m
How much higher will the tower need to be raised so that its angle of elevation from the same point will be 40 degrees?
Using the same formula to calculate the new height.
Tan 40 = new height / base
Tan 40 = new height / 120
Make the new height the subject of the formula.
New height = 120 × tan 40
New height = 100.69 m
Increase in height = new height - height
Increase in height = 100.69 - 55.96
Increase in height = 44.73m
Therefore, the tower will need 44.73m to be raised so that its angle of elevation from the same point will be 40 degrees.