Answer:
![\boxed{\sqrt{65}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csqrt%7B65%7D%7D)
Step-by-step explanation:
The radius of circle D is the distance from the origin to (-4, -7).
In math, the distance formula gives us the distance between two points, (x₁, y₁) and x₂, y₂):
![d = \sqrt{(x _{2}-x_{1})^{2} +(y _{2}-y_{1})^{2}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x%20_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%20%2B%28y%20_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D)
You are really using Pythagoras' Theorem to find the distance. You are building a right triangle whose hypotenuse connects two given points.
For example, in the blue triangle below, the distance between the points (0,0) and (-4, -7) is
![d = \sqrt{(0 - (-4))^{2} +(0 -(- 7))^{2}}\\\\ = \sqrt{4^{2} +7^{2}}\\ = \sqrt{16 + 49}\\=\sqrt{65}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%280%20-%20%28-4%29%29%5E%7B2%7D%20%2B%280%20-%28-%207%29%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%20%5Csqrt%7B4%5E%7B2%7D%20%2B7%5E%7B2%7D%7D%5C%5C%20%3D%20%5Csqrt%7B16%20%2B%2049%7D%5C%5C%3D%5Csqrt%7B65%7D)
![\text{The radius of the circle is }\boxed{\mathbf{\sqrt{65}}}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20radius%20of%20the%20circle%20is%20%7D%5Cboxed%7B%5Cmathbf%7B%5Csqrt%7B65%7D%7D%7D)
To find 85% of 36 we have to transform 85% into fraction and then multiply it by 36.
85% is
![\frac{85}{100}](https://tex.z-dn.net/?f=%20%5Cfrac%7B85%7D%7B100%7D%20)
![\frac{85}{100}*36= \frac{85*36}{100}= \frac{3060}{100} = \frac{153}{5} =30.6](https://tex.z-dn.net/?f=%20%5Cfrac%7B85%7D%7B100%7D%2A36%3D%20%5Cfrac%7B85%2A36%7D%7B100%7D%3D%20%20%5Cfrac%7B3060%7D%7B100%7D%20%3D%20%5Cfrac%7B153%7D%7B5%7D%20%20%20%3D30.6)
- its the result
960 48*20=960, 48*21=1008
Answer:
0.48.
Step-by-step explanation:
There are 2 ways that a tail lands once:-
Tail + head or
head + tail.
Prob(Tail on one throw) = 0.4
Prob(Head on one throw) = 1 - 0.4 = 0.6.
Prob(Tail first then head) = 0.4 * 0.6 = 0.24
Head then tail has the same probability (0.6*0.4).
So the requred probability = 0.24 + 0.24
= 0.48.