Answer:
23.8 ft
Step-by-step explanation:
Trigonometry:
We already know the angle, adjacent side and hypotenuse.
So the formula would be using the cosine ratio:
cos18 = adjacent side over the hypotenuse aka (x/25)
x = cos18 × 25
= 23.8 ft
Don’t worry! I am happy to help you! Standard form is just the number alone. In this case, here are the numbers written out for you.
1. 53
2. 9,400
3. 707,000
4. 0.0026
5. 0.08651
6. 0.0000067
The next part here is scientific notation. The first number has to be greater than 1, but less than ten, and the number you multiply by is powers of 10, sometime positively and sometimes negatively. You can search up the powers of 10 chart to find more. Here they are written in scientific notation.
7. 5.61 * 10^3
8. 1.4 * 10^1
9. 5.64 * 10^7
10. 7.52 * 10^-1
11. 6.4 * 10^-3
12. 5.81 * 10^-4
For this next part, you have to get these answers and express it in scientific notation. Here are these answers with the work.
13. 69,000,000 + 212,000 = 69,212,000.
Scientific notation: 6.9212 * 10^7
14. 43,000 + 521,000 = 564,000
Scientific notation: 5.64 * 10^5
Answer:
0.04545454545
Step-by-step explanation:
can i have brainliest pls?
Answer:
The sequence of transformations that shows that Polygon A is congruent to Polygon B is given as follows;
1) A translation of 8 blocks to the right followed by 2) a translation of 2 blocks down and 3) a rotation of 90 degrees anticlockwise
Step-by-step explanation:
Given that the dimensions and shape of Polygon A and Polygon B are equal, the sequence of transformations that will show their congruency should include a number of rigid transformations, mainly translations and rotations.
1) the x-coordinate of the system can be given as follow:
2x+3y = 5 (i)
3x+5y =7 (ii)
we multiply (i) by 5 and (ii) by 3, we have
10x+15y = 25 (a)
9x+15y =21 (b)
so (a) - (b) implies x = 4,
2) We do the same method for
{2x + y = 2
{3x + 4y = -22,
and we found y = -10,
3) for the last one,
{5x + 4y = 2
{-2y = 8 + 4x
this system is equivalent to
{5x + 4y = 2 (i)
{4x + 2y = - 8 (ii)
so, multiply (i) by 4 and (ii) by 5, and we have
20x + 16y = 8 (a)
20x + 10y = -40 (b)
elimination of x gives 6y = 48 then y= 8, we can find x fastly by replacing y=8 in (i), so 5x +4(8) =2, which implies x= -6
finally the solution is S= {(-6, 8)}