Well when you add $84+$29 you get $113
Answer: You apply the trigonometric ratios of Sine, Cosine and Tangent.
Step-by-step explanation: In a question such as this one of the angles must be given, which is labeled the reference angle. We already know one angle is 90 degrees in a right angled triangle, so the other two angles whatever their size is, must both add up to 90, which means they are both acute angles. If one side is given, for instance 10 units, and one of the two acute angles is given, for example 30 degrees, then the line facing the reference angle (30 degrees) would be the OPPOSITE. The line that lies between the angles 30 and 90 would be the ADJACENT while the third side which is the longest would be the HYPOTENUSE.
So if for instance, the opposite line is 10 units, and you are required to calculate the other line, the adjacent, AS LONG AS YOU HAVE BEEN GIVEN A REFERENCE ANGLE, you can simply calculate as follows;
TanX = opposite/adjacent (and that becomes)
Tan 30 = 10/adj
Adj = 10/Tan 30
Adj = 10/0.5774
Adj = 17.32
**Note that the use of angle 30 was just for the sake of explanation. Your reference angle whatever it is, would be provided by your examiner**
Rule for sequence a is: a_n = 10-3n
Rule for sequence b is: a_n = -19+8n
Step-by-step explanation:
a.)7, 4, 1, -2, ...
First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence
Here,
The explicit rule for an arithmetic sequence is:
Putting the value of a1 and d
b.)-11, -3, 5, 13, ...
First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence
Here,
The explicit rule for an arithmetic sequence is:
Putting the value of a1 and d
Hence,
Rule for sequence a is: a_n = 10-3n
Rule for sequence b is: a_n = -19+8n
Keywords: Arithmetic sequence, common difference
Learn more about arithmetic sequence at:
#LearnwithBrainly
Answer:
This the formula for the Pythagorean Theorem.
Step-by-step explanation:
This is the formula for the Pythagorean Theorem but its written in a different way but it will give you the same answer.
So first you will be given two sides which will be represented as leg a and leg b.
So you would plug in the two numbers in the equation c = square root of 18^2 + 12^2
Now you would find 18^2 which equals 324
Then you would find 12^2 which equals 144
Add them together and get 468
To get what c equals or the hypotenuse you have to find the square root of 468.
The square root of 468 is 21.633 but you round it to the nearest tenth and get 21.6
2.6 x 10 = 26
1.3 x 102=132.6
1.3 x 107=139.1
2.0 x 107 =214
1.3 x 1011= 1314.3
2.0 x 2022
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