Answer:
13.5
18.1
72.2
12.8
6,2
66.1
49.1
14
31.8
Step-by-step explanation:
In solving this question, remember the annotation SOHCAHTOA
1. We are given the value of the hypotenuse and we are to determine the value of the adjacent side. COS would be used to determine this value
Cos 26 = Adjacent / hypotenuse
cos 26 = x / 15
x / 15 =0.8988
x = 15 x 0.8988 = 13.5
2. We are given the value of the hypotenuse and we are to determine the value of the opposite side. SIN would be used to determine this value
Sin = opposite / hypotenuse
sin 49 = x / 24
0.7547 = x / 24
x = 0.7547 x 24
x = 18.1
3. We are given the value of the opposite side and we are to determine the value of the adjacent side. TAN would be used to determine this value
Tan = opposite / adjacent
tan 14 = 18 /x
18 / 0.2493 = 72.2
4. We are given the value of the adjacent and we are to determine the value of the hypotenuse side. COS would be used to determine this value
cos 67 = opposite / hypotenuse
0.3907 = 5/x
x =5/ 0.3907 = 12.8
to determine the missing angle
7. tan^-1 = opposite / adjacent
8. cos^-1 = adjacent / hypotenuse
9 = sin^-1 = opposite / hyotensue
Answer:
Step-by-step explanation:
she has 3 quarters
Answer:
Step-by-step explanation:
4x -8 = 34
4x = 42
x = 42/4 = 21/2 = 10.5
Answer:
The side c needs to be 12.85 for the triangle to have greatest perimeter
Step-by-step explanation:
We are given;
b = 13
a = 15
Angle at b: B = 55°
Let's find side c.
Using the law of cosines,we have;
b² = a² + c² - 2ac•cos(B)
13² = 15² + c² - 2•15•c•cos(55)
169 = 225 + c² - 30c•cos(55)
c² - 30c•cos(55) + 225 - 169 = 0
c² - 30c•cos(55) + 56 = 0
c² - 30c•(0.5736) + 56 = 0
c² - 30c•(0.5736) + 56 = 0
c² - 17.208c + 56 = 0
Using quadratic formula;
c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)
c = [17.208 ± √(296.115 - 224)]/2
c = 8.604 ± 4.246
To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;
Thus,
c = 8.604 + 4.246 = 12.85
The required the average daily census for this period is 12.
<h3>What is Average?</h3>
A Average can be characterized as the amount of all numbers isolated by the all out number of values. A mean can be characterized as a normal of the arrangement of values in an example of information. At the end of the day, a normal is likewise called the math mean. It is known as a mean to Depict the average.
<h3 /><h3>According to question:</h3>
there were 2,200 inpatient service days.
Number of days between this period = 184 days
So, average daily census = 2200/184
11.95
⇒ 12 up to whole number.
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