Here’s a picture of my work. The answer is b. Hope this helps :-)
The change that Angie will receive from an $100 bill is $38.944.
<h3>How to calculate the value?</h3>
Angie went to the store and bought 3 pairs of tennis shoes that each cost $24. The total cost will be:
= 3 × $24 = $72
Sales tax was then calculated at 6%. This will be:
= 6% × $72
= $4.32
Total cost = Cost + Tax
= $72 + $4.32
= $76.32
Coupon off = 20% × $76.32 = $15.264
Total amount paid = Cost - Coupon
= $76.32 - $15.264
= $61.056
The change gotten will be:
= $100 - $61.056
= $38.944
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Answer:
x= 5/2 or 1/2
Step-by-step explanation:
absolute value always gives us positive
if |u| = 2, u can be -2 or 2
2x-3 = 2
2x = 5
x = 5/2
2x-3 = -2
2x = 1
x= 1/2
in general, set the stuff inside the absolute value to equal both positive and negative of the equivalent value
The value of the angle shown in the protactor is 50° and the value of y is 10°.
<h3>How to calculate the values?</h3>
The value of y will be:
2y + 30 = 3y + 20
3y - 2y = 30 - 20
y = 10
The value of x when they're complementary will be:
5x - 2 + 3x + 4 = 90
8x + 2 = 90
8x = 90 - 2
8x = 88.
x = 88/8 = 12
The value of angle FDE will be:
3x + 10 + 6x + 8 = 180
9x + 18 = 180
9x = 180 - 18
9x = 162
x = 162/9
x = 18
FDE = 6x + 8
= 6(18) + 8
= 108 + 8
= 116
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Since the sine and cosine functions are cofunctions, they are complementary. The format for this is that sinx=cos(90-x). This works for secant and cosecant and tangent and cotangent. So, sin25°=cos65°.