Do you need help with all of these?
Answer:
1330.5
Step-by-step explanation:
I rounded to the tenths place.
For 1:
Use pythagorean theorem because of the radius tangent theorem(point of contact = 90 degrees)
12 is the hypotenuse (the right angle points at the hypotenuse)
Therefore:
(9)^2 + (x)^2 = (12)^2
81 + x^2 = 144
Subtract 81 from both sides of the equation
x^2 = 63
Square root both sides to get rid of square on x and isolate the variable
The square root of 63 = 7.93 (roughly)
Can I see a picture of the question?
Answer:
The number is 95.
Step-by-step explanation:
Solution,
Let the number be 'x'.
So,
of 'x' = ![\frac{2}{5}x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dx)
Now according to question,
is equal to 38.
So we can frame it as;
![\frac{2}{5}x=38](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dx%3D38)
Now we solve it;
For solving it we will multiply both side by '5' using multiplication property and get;
![\frac{2}{5}x\times5=38\times5\\\\2x=38\times5](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dx%5Ctimes5%3D38%5Ctimes5%5C%5C%5C%5C2x%3D38%5Ctimes5)
Now using division property, we will divide both side by '2' and get;
![\frac{2x}{2}=\frac{38\times5}{2}\\\\x=19\times5=95](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B38%5Ctimes5%7D%7B2%7D%5C%5C%5C%5Cx%3D19%5Ctimes5%3D95)
Hence The number is 95.