Answer:
73.74°
Step-by-step explanation:
sin Ф = opposite/hypotenuse
sin Ф = 24/25
(24/25) = 73.74
Using an exponential function, it is found that f(5.5) = 19.8.
<h3>What is an exponential function?</h3>
An exponential function is a function in which the growth rate is a percentage, modeled by:
In which:
f(3.5) = 25 means that:
f(8.5) = 14 means that:
Hence:
Hence, the function is given by:
Then, when x = 5.5:
More can be learned about exponential functions at brainly.com/question/25537936
What you need to do is find the smallest multiple that they both have (i forgot what that is called) list them like this:
12: 24 36 48 60 72
15: 30 45 60 75
60 is the lowest number that they both can multiply to
60 cups/lids is the answer
100 notes were altogether
<em><u>Solution:</u></em>
Given that ratio of the number of $2 notes to the number of $5 notes was 4 : 1
number of $2 notes : number of $5 notes = 4 : 1
Let 4x be the number of $ 2 notes
Let 1x be the number of $ 5 notes
Given that total value of notes is $ 260
Therefore,
$ 2 (number of $ 2 notes ) + $ 5(number of $ 5 notes ) = $ 260
$ 2(4x) + $ 5(1x) = $ 260
8x + 5x = 260
13x = 260
x = 20
<em><u>Thus number of notes altogether is given as:</u></em>
4x + 1x = 4(20) + 1(20) = 80 + 20 = 100
Thus 100 notes were altogether
The required simplified value of x and y is 32 and 84 respectively.
Given that,
To find the values of x and y. State which theorem(s) you used.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Vertical opposite angles
3x = 5x - 64
2x = 64
x = 32
Now,
5x - 64 = 5*32 - 64
= 160 - 64
= 96°
Now complementary angle y
y = 180 - 96°
y = 84°
Thus, the required simplified value of x and y is 32 and 84 respectively.
Learn more about simplification here:
brainly.com/question/12501526
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