-10% because there is only one 2 in the 10 numbers. hope this helps
Let numbers be x and y
ATQ
Adding both
![\\ \sf\longmapsto 2x=58](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%202x%3D58)
![\\ \sf\longmapsto x=\dfrac{58}{2}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x%3D%5Cdfrac%7B58%7D%7B2%7D)
![\\ \sf\longmapsto x=29](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x%3D29)
Now putting value in eq(2)
![\\ \sf\longmapsto x-y=9](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x-y%3D9)
![\\ \sf\longmapsto 29-9=y](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%2029-9%3Dy)
![\\ \sf\longmapsto y=20](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20y%3D20)
A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.
The question is asking us to find the trigonometry ratio which will help us find EG.We can use cos as cos is ratio of adjacent and hypotenuse.
![cos 40=\frac{10}{Hypotenuse EG.}](https://tex.z-dn.net/?f=cos%2040%3D%5Cfrac%7B10%7D%7BHypotenuse%20EG.%7D)
B) Cos 40 =0.766.
Substituting tan40 value we have:
![0.766=\frac{10}{EG}](https://tex.z-dn.net/?f=0.766%3D%5Cfrac%7B10%7D%7BEG%7D)
EG=13.05.
C)Sum of angles in triangle is 180.
<E+<F+<G=180
<E+90+40=180
<E+130=180
<E=50 degrees.
D) ![Tan 40=\frac{EF}{10}](https://tex.z-dn.net/?f=Tan%20%2040%3D%5Cfrac%7BEF%7D%7B10%7D)
EF=8.39
E) Area of triangle EFG= ![\frac{1}{2}x base x height.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx%20base%20x%20height.)
A rea of the triangle = ![\frac{1}{2}x8.39x13.05](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx8.39x13.05)
Area= 54.75 square units.
In mathematics multiplying decimals is just like multiplying a whole number and ignoring the decimals., then just put the decimals in the answer – it is how many decimals does the two numbers combined.
First step:
Line the numbers on the right and do not a line the decimal points
26.2
× 16.43
Second Step:
Multiply the numbers starting on the right, just like multiplying a whole number and ignore the decimals.
26.2
<span> × 16.43</span>
786
1048
1572
<span>+ 262 </span>
430466
Third step: add the products
26.2
<span> × 16.43</span>
786
1048
1572
<span>+ 262 </span>
430.466 is the mathematician’s answer.