Answer:
function is f(x) = x+6
and the missing outputs are 19, 24 and 27
Answer:
1. 10
2. 12
3. Sqrt 130
4. Sqrt 45
Step-by-step explanation:
To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is
where a and b are the legs with a being the smallest and c is the hypotenuse.
1. a=6, b=8, c=?
![6^2+8^2=c^2\\36+64=c^2\\100=c^2\\10=c](https://tex.z-dn.net/?f=6%5E2%2B8%5E2%3Dc%5E2%5C%5C36%2B64%3Dc%5E2%5C%5C100%3Dc%5E2%5C%5C10%3Dc)
2. a=5, b=?, c=13
![5^2+b^2=13^2\\25+b^2=169\\169-25=b^2\\144=b^2\\12=b](https://tex.z-dn.net/?f=5%5E2%2Bb%5E2%3D13%5E2%5C%5C25%2Bb%5E2%3D169%5C%5C169-25%3Db%5E2%5C%5C144%3Db%5E2%5C%5C12%3Db)
3. a=7, b=9, c=?
![7^2+9^2=c^2\\49+81=c^2\\130=c^2\\\sqrt{130}=c](https://tex.z-dn.net/?f=7%5E2%2B9%5E2%3Dc%5E2%5C%5C49%2B81%3Dc%5E2%5C%5C130%3Dc%5E2%5C%5C%5Csqrt%7B130%7D%3Dc)
4. a=2, b=?, c=7
![2^2+b^2=7^2\\4+b^2=49\\49-4=b^2\\45=b^2\\\sqrt{45}=b](https://tex.z-dn.net/?f=2%5E2%2Bb%5E2%3D7%5E2%5C%5C4%2Bb%5E2%3D49%5C%5C49-4%3Db%5E2%5C%5C45%3Db%5E2%5C%5C%5Csqrt%7B45%7D%3Db)
Answer:
Step-by-step explanation:
30 minutes UoU
Every 10 minutes he finishes 20% of the book case.
so In 10 minutes he will have 50% done, In 20 minutes 60%, in 40 minutes 100%
Answer:
900
Step-by-step explanation:
We assume that your 4-digit number must be in the range 1000 to 9999. Clearly, any number ending in zero will meet your requirement:
1000/100 = 10
3890/389 = 10
However, the requirement cannot be met when the 1s digit is other than zero.
__
For some 3-digit number N and some 1s digit x, the 4-digit number will be
4-digit number: 10N+x
Dividing this by N will give ...
(10N+x)/N = 10 remainder x
N will only be a factor of 10N+x when x=0.
So, there are 900 4-digit numbers that meet your requirement. They range from 1000 to 9990.
Answer:
6/5
Step-by-step explanation:
2/3 ÷ 5/9
2/3 × 9/5 ( while changing division to multiple, numerator and denominator changes
2 × 3/5 ( 9/3 =3
Ans =6/5