Answer:
See below in bold.
Step-by-step explanation:
(1) cosec ( x + 10) = 3
Now cosec x = 1/sin x so
1 / sin (x + 10) = 3
3 sin (x + 10) = 1
sin (x + 10) = 1/3
x + 10 = 19.47 , 160.53 degrees
x = 9.47, 150.53 degrees.
(ii) cot (x - 30) =0.45
cot (x - 30)= 1 /tan (x- 30) so we have
tan (x - 30) = 1 / 0.45 = 2.2222
x - 30 = 65.77 degrees
x = 95.77 degrees.
Answer:
For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.
Then he stops for 20 minutes, we will represent this with a constant line.
Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.
A sketch of this situation can be seen below.
Answer:
Supplementary Angle's Theorem
Step-by-step explanation:
The supplementary angle theorem states that if two angles are said to be supplementary to the same angle, then the two angles are said to be congruent.
If you have an average of 97.2 on your current exam and you get a 99 on your next exam, your average will increase.
- Mean in mathematics is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the total number of values.
- To find the average, sum all the values in the set. Then divide the total by the number of values.
We have the current examination mean, xold = 97.2
Now, we receive, x = 99 on the next examination, the new mean will be:
xnew = (xold + x)/N
xnew = (97.2+99)/2
xnew = 196.2/2
xnew = 98.1
The new average is 98.1
98.1 > 97.2
So if you score 99 on your next exam, your average will increase.
Learn more about mean here
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This would be true.
the word output automatically assumes that it’s a fraction or an equation to a fraction.
