Answer:
see explanation
Step-by-step explanation:
Using the exact values of the trigonometric ratios
sin60° =
, cos60° = 
sin45° = cos45° = 
Using the sine ratio on the right triangle on the left
sin60° =
=
= 
Cross- multiply
2a = 4
×
= 12 ( divide both sides by 2 )
a = 6
Using the cosine ratio on the same right triangle
cos60° =
=
= 
Cross- multiply
2c = 4
( divide both sides by 2 )
c = 2
------------------------------------------------------------------------------------------
Using the sine/cosine ratios on the right triangle on the right
sin45° =
=
= 
Cross- multiply
b = 6
cos45° =
=
= 
Cross- multiply
d = 6
( divide both sides by
)
d = 6
------------------------------------------------------------------------------------------------
a = 6, b = 6
, c = 2
, d = 6
Answer:
12.8 IN.
Step-by-step explanation:
So, what exactly is perimeter?
Perimeter= 2L+ 2W
In this question we were given the length.ie.Base and the perimeter itself.
●Length is 39 In.
●Perimeter is 103.6 In.
●We don't know the width.
But, as per given the question, we know that;
1 length = 39 In.
2 lengths= 78 In.
Now that we know the <u>total</u><u> </u><u>length</u><u> </u><u>we</u><u> </u><u>can</u><u> </u><u>find</u><u> </u><u>the</u><u> </u><u>total</u><u> </u><u>width</u><u>.</u>
See as follows,
103.6 - 78= 25.6
<u>2</u><u> </u><u>widths</u><u>=</u><u> </u><u>25</u><u>.</u><u>6</u>
<u>1</u><u> </u><u>width</u><u>=</u><u> </u><u>25</u><u>.</u><u>6</u><u>÷</u><u>2</u>
<u>=</u><u>12</u><u>.</u><u>8</u><u> </u><u>In</u>
I believe this answer to be true. This can be said because 4/2 equals 2 as does 24/12. Both of those fractions equals 2 yet they are two completely different fractions. Please tell me if I was right lol.
Answer:
9.90
Step-by-step explanation:
Original Amount
49.50
Present increase
80% or 0.80
Original x Percent decrease = amount of change
39.60
Original - Amount of change = total
9.90