Answer:
The answer is a. 21.
Step-by-step explanation:
We solve this question by using Pythagoras theorem to relate the sides of a right angled triangle.
Here,
Hypotenuse of the given triangle(c)=75
Two sides of right angled triangle are:
a=72
b=?
Then,
for a given right angled triangle abc,
Using Pythagoras theorem,
![c=\sqrt{a^{2} +b^{2} }](https://tex.z-dn.net/?f=c%3D%5Csqrt%7Ba%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%7D)
Squaring on both sides,
![c^{2} =a^{2}+b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3Da%5E%7B2%7D%2Bb%5E%7B2%7D)
or,![75^{2}=72^{2}+b^{2}](https://tex.z-dn.net/?f=75%5E%7B2%7D%3D72%5E%7B2%7D%2Bb%5E%7B2%7D)
or, ![b^{2}=75^{2}-72^{2}](https://tex.z-dn.net/?f=b%5E%7B2%7D%3D75%5E%7B2%7D-72%5E%7B2%7D)
or,![b^{2}=5625- 5184](https://tex.z-dn.net/?f=b%5E%7B2%7D%3D5625-%205184)
or,![b^{2} =441](https://tex.z-dn.net/?f=b%5E%7B2%7D%20%3D441)
∴![b=21](https://tex.z-dn.net/?f=b%3D21)
So, the value of b is obtained to 21 by the use of Pythagoras theorem.
Answer:
You have a 12% chance of pulling out a white marble
Step-by-step explanation:
Their is 25 marbles in the bag and you have 3 out of 25 chance of pulling out a white marble. 3/25=0.12 so you have a 12% chance of pulling out a white marble.
Answer:
y + 1 = 3(x - 1)
Step-by-step explanation:
The given point is (1,-1) meaning that x1 = 1 and y1 = -1
The slope of this line is m = 3 because we go up 3 and over to the right 1 (eg: go from the point (1,-1) to (2,2) to see this in action)
Plug these three pieces of info into the point slope formula below
y - y1 = m(x - x1)
y - (-1) = 3(x - 1)
y + 1 = 3(x - 1)
5x-2+3x=17+12x-23 combine like terms
8x-2=12x-6
-8x -8x
-2=4x-6
+6 +6
4=4x divide each side by 4
x=1