Answer:
Step-by-step explanation:
Hint: 1- 2sin²x = Cos 2x
LHS = 1 - 2Sin² (π/4 - Ф/2)
= Cos 2 *(π/4 - Ф/2)
= Cos 2*π/4 - 2*Ф/2
= Cos π/2 - Ф
= Sin Ф = RHS
Let x = the minutes that Tom has remaining before exceeding 500 minutes.
Because he has already used 230 minutes, the total minutes he has is
x + 230
We want this total to be less than or equal to 500 minutes.
Therefore
x + 230 ≤ 500
Answer: x + 230 ≤ 500
1.19p+3.18≤10.00 can be used to determine the pounds of peaches Albert can buy.
Step-by-step explanation:
Given,
Cost of one pomegranate = $1.59
Cost of two pomegranate = 1.59*2 = $3.18
Cost of peaches per pound = $1.19
Cost of p pounds of peaches = 1.19p
Total amount of spent = $10.00
Cost of p pounds of peaches + Cost of two pomegranates ≤ Total to spend
1.19p+3.18≤10.00 can be used to determine the pounds of peaches Albert can buy.
Keywords: inequality, addition
Learn more about addition at:
#LearnwithBrainly
*Yes, B, C, and D are correct. -15, -10.5, and -7.5 are solutions to x<-7*...........................
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*8y – 24 > –16.............................................................................................................
8y>8 ADD 24 to both sides .......................................................................................
y>1 so C. divide both sides by 8.................................................................................
It is not A because the opposite of subtracting 24 is adding 24. So you add 24 to both sides to undo the subtraction. -16+24=8 Then you divide both sides by 8, which gives you y>1. I think you probably subtracted 24 from -16 instead of adding it.*.........................................
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*I'm not sure what to make of the third one, is that a number line or...?*...............................
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*- t/5 ≥15 ........................................................................................................................
-t ≥ 75 MULTIPLY both sides by 5....................................................................................
t ≤ -75 divide both sides by -1, and flip the sign, because when dividing an inequality by a negative number you must flip the sign..............................................................................
So A would be correct. ....................................................................................................
I believe if you divided the 15 by 5 and didn't flip the sign you would get D.*.........................
Also, sorry, my enter key isn't working right, so it's all scrunched together.
Distance from point C to point D: same x coordinate, 4-1=3; 3 units
Distance form point D to F: same y coordinate, 5-2=3
Perimeter is the measure of all sides
3+3+3+3=12
Solution: A. 12 units
