A right triangle is a type of triangle which contains a right triangle. To be a right triangle, it should satisfy the Pythagorean Theorem which relates the three sides of the triangle. In this triangle, the longest side is called as the hypotenuse. To determine the hypotenuse, we use the Pythagorean Theorem which is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse
We calculate as follows:
c^2 = a^2 + b^2
c^2 = 6^2 + 5^2
c^2 = 61
c = √61
Therefore, the hypotenuse of the right triangle with sides 6 and 5 would be √61 which, clearly, is longer than the two sides.
Answer:
7/16
Step-by-step explanation:
Odds against = number of failures / number of successes
So number of failures = 9 and the number of successes = 7.
Probability = number of successes / number of total events
P = 7 / (7 + 9)
P = 7/16
Answer:
![\large\boxed{h(x)=x^3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bh%28x%29%3Dx%5E3%7D)
Step-by-step explanation:
![f(x)=(6x^3-7)^3\\\\(h\circ g)(x)=h\bigg(g(x)\bigg)\to\text{exchange x to}\ g(x)=6x^3-7\\\\f(x)=(\underbrace{6x^3-7}_{g(x)})^3=\bigg(g(x)\bigg)^3=h\bigg(g(x)\bigg)\\\\\text{Therefore}\ h(x)=x^3](https://tex.z-dn.net/?f=f%28x%29%3D%286x%5E3-7%29%5E3%5C%5C%5C%5C%28h%5Ccirc%20g%29%28x%29%3Dh%5Cbigg%28g%28x%29%5Cbigg%29%5Cto%5Ctext%7Bexchange%20x%20to%7D%5C%20g%28x%29%3D6x%5E3-7%5C%5C%5C%5Cf%28x%29%3D%28%5Cunderbrace%7B6x%5E3-7%7D_%7Bg%28x%29%7D%29%5E3%3D%5Cbigg%28g%28x%29%5Cbigg%29%5E3%3Dh%5Cbigg%28g%28x%29%5Cbigg%29%5C%5C%5C%5C%5Ctext%7BTherefore%7D%5C%20h%28x%29%3Dx%5E3)
Answer:
Step-by-step explanation:
1-124: (convert 1/5 to tenths)
3/10+2/10=5/10 ->1/2
so you have a 1/2 chance of getting blue or green
1-125:
1/2 of the circle is green and 1/4 of the circle is green (1/2 =2/4)
2/4+1/4=3/4 so you have a 3/4 chance of getting purple or green
1-126
a. x+8=21
just minus 8 from x an 21
x=13
b. x-31=55
add 31 to both sides
x=86
c. 3x=54
you are going to divide 3 from both sides
x=18
d. x/5=10
you want to take the reciprocal of x/5 to get rid of x (5/1) and do that to both sides
x=50