Answer:
1.28 or 912/715
Step-by-step explanation:
sine= opposite side/hypotenuse
cos=adjacent/ hypotenuse
sine a= 12/13 using the Pythagorean Theorem and solve for the missing side. (which is the adjacent side)
cos a = 5/13
Do the same for sine b
cos b= 9.8/11
add both the cosine value
(5/13)+(9.8/11)=1.28 or 912/715 in fraction form
Answer:
21, 24, 27, 30, 33, 36, 39.
Step-by-step explanation:
We have to calculate the perimeter of the figure to the nearest tenth of a millimeter. This figure is made of a rectangle and a half of a circle. The first figure has the perimeter: 3 + 6 + 3 = 12 mm. The second figure has the perimeter: 2 * Pi * r / 2 = Pi * r ; and the radius : r = 6/2 = 3 mm. So Pi * 3 = 3.14 * 3 = 9.42. Fimally : 12 + 9.42 = 21.42 or 21.4 to the nearest tenth. Answer: C. 21.4 millimeters<span>. </span>
1. Geometric Sequence
2. 
3. 
Step-by-step explanation:
Given sequence is:
6, 18, 54, 162,....
Here

(a) Is this an arithmetic or geometric sequence?
We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.
We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

As the common ratio is same, the given sequence is a geometric sequence.
(b) How can you find the next number in the sequence?
Recursive formulas are used to find the next number in sequence using previous term
Recursive formula for a geometric sequence is given by:

In case of given sequence,

So to find the 5th term

(c) Give the rule you would use to find the 20th week.
In order to find the pushups for 20th week, explicit formul for sequence will be used.
The general form of explicit formula is given by:

Putting the values of a_1 and r

Hence,
1. Geometric Sequence
2. 
3. 
Keywords: Geometric sequence, common ratio
Learn more about geometric sequence at:
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Assuming you'd like to know about how much malinda spent at the circus,
21.10+3.25+9.05 = 33.4
or about 33 dollars.