1225*(1.578*10^-5)=1.933*10^-2
1.578*10^-5= 0.00001578
1225*0.00001578=0.0193305
0.0193305=1.933*10^-2
Answer:
<h2>k = -1</h2>
Step-by-step explanation:
We have the point (5, k) and the equation 2x + y = 9.
Put the coordinates of the point ot the equation:
x = 5, y = k
2(5) + k = 9
10 + k = 9 <em>subtract 10 from both sides</em>
10 - 10 + k = 9 - 10
k = -1
Answer:
answer is 24.56cm
perimeter of half/semi circle =
r + 2r
<em>one semi circle semi circles perimeter: </em>
<em>*2+2*2 =10.283cm, </em>
<em>for two semi circles= 2*10.283 =20.566cm</em>
without the line below for two semi circle: 20.566-4-4=12.566 cm
both da side of rectangle is 6cm+6cm=12cm
now add the 12.566+12=24.56cm
Step-by-step explanation:
given :
2x - 3y = 11
-6x + 8y = 34
find : the solutions of the system by using Cramers Rule.
solutions:
in the matrix 2x2 form =>
[ 2 -3] [x] [11]
=
[-6 8] [ y] [34]
D =
| 2 -3 |
|-6 8 |
= 8×2 - (-3) (-6)
= 16-18 = -2
Dx = | 11 -3 |
| 34 8 |
= 11×8 - (-3) (34)
= 88 + 102
= 190
Dy = | 2 11 |
|-6 34 |
= 2×34 - (-6) (11)
= 68 + 66
= 134
x = Dx/D = 190/-2 = -95
y = Dy/D = 134/-2 = -67
the solutions = {-95, -67}
Answer:
3 metres
Step-by-step explanation:
If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.
The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:
(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)
16 / 12 = 4 / x , where x is the shadow / unknown we want to find
Cross-multiply:
16x = 48
x = 3
The answer is thus 3 metres.