The second equation because they all have a common factor of 3. You can get x by itself. However, with the first one, you'll end up with fractions instead.
Answer:
The ratios of the sides of a right triangle are called trigonometric ratios. We need to use trigonometric functions to find them when we don't have any angle other than 90 degree shown.
Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan). These are defined for acute angle.
However when we have one angle given with the 90 degree we can deduct without trigonometry but we would use all angles to find the hypotenuse or all angles to find the side of a right angle.
Alternatively, we cna do this with one given angle but if we have one, we might as well work out the other one without trigonometry and do a division with Sin = 25 (sin 35) sin 90 / sin 55
is one example when given the base 25ft that would find the hypotenuse or the length of elevation for buildings looking down or zip-wire questions.
Step-by-step explanation:
A
| \
l \
4cm| \ 5cm
| \
| \
B | - - - - \ C
3cm
Suppose we wanted to find sin( A) in△ABC
(The height of the wall in elevation questions would be used above the base shown 3cm at the start) Sin = 3 (sin 35)° sin 90° / sin 55° to find the height side (4).
Sine is defined as the ratio of the opposite to the hypotenuse
sin(A) = hypotenuse = AB/BC = 3/5
/ opposite
Answer:
89–100
Step-by-step explanation:
Let x represent the grade on the fifth test. The average for 5 tests wants to be between 80 and 90, so we have ...
80 ≤ (78 +62 +91 +80 +x)/5 ≤ 90
Multiplying by 5 gives
400 ≤ 311 +x ≤ 450
Subtracting 311 gives the range for the fifth test grade.
89 ≤ x ≤ 139
Since the maximum available score is 100, the range on the 5th test for an overall B grade is ...
89 ≤ x ≤ 100 . . . . where x is the grade on the 5th test
<span>Stephen and Aaron solved the same equation using two separate methods. Their work is shown in the table below:
Stephen Aaron:
3x - 2 = 5x - 6 3x - 2 = 5x - 6
3x - 2 + 2 = 5x - 6 + 2 3x - 3x - 2 = 5x - 3x - 6
3x = 5x - 4 -2 = 2x - 6
3x - 5x = 5x - 5x - 4 -2 - 6 = 2x
-2x = -4 -8 = 2x
x = 2 -4 = x
Identify who made the error and what he did wrong.
Aaron made the error when he subtracted 6.
Aaron made the error when he subtracted 3x.
Stephen made the error when he added 2.
Stephen made the error when he subtracted 5x.
answer:
</span>In the Aaron`s work:
- 2 = - 2 x - 6
and after that:
- 2 - 6 = 2 x
It should be:
- 2 + 6 = 2 x
or: - 2 + 6 = 2 x - 6 + 6
Answer:
A ) Aaron made the error when he subtracted 6.
