Answer:
93.7 miles
Step-by-step explanation:
This problem can be represented as a right angled triangle. The distance between the final point and the starting point is the hypotenuse.
We need to find the hypotenuse. We can use Pythagoras rule:
![hyp^2 = opp^2 + adj^2](https://tex.z-dn.net/?f=hyp%5E2%20%3D%20opp%5E2%20%2B%20adj%5E2)
where opp = opposite side to the angle considered
adj = adjacent side to the angle considered
This implies that:
![x^2 = 60^2 + 72^2\\\\x^2 = 8784\\\\x = \sqrt{8784} \\\\x = 93.7 miles](https://tex.z-dn.net/?f=x%5E2%20%3D%2060%5E2%20%2B%2072%5E2%5C%5C%5C%5Cx%5E2%20%3D%208784%5C%5C%5C%5Cx%20%3D%20%5Csqrt%7B8784%7D%20%5C%5C%5C%5Cx%20%3D%2093.7%20miles)
The car is 93.7 miles far from its starting point.
Answer:
in simplified form is ![\frac{\sqrt{3}}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B8%7D)
Step-by-step explanation:
We need to solve the expression
![\sqrt{\frac{3}{64} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B3%7D%7B64%7D%20%7D)
We know that ![\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Cfrac%7B%5Csqrt%7Ba%7D%7D%7B%5Csqrt%7Bb%7D%7D)
and 64 = 8*8
Solving we get
![=\frac{\sqrt{3}}{\sqrt{64}}\\=\frac{\sqrt{3}}{\sqrt{8*8}}\\=\frac{\sqrt{3}}{\sqrt{8^2}}\\=\frac{\sqrt{3}}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B64%7D%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B8%2A8%7D%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B8%5E2%7D%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B8%7D)
So
in simplified form is ![\frac{\sqrt{3}}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B8%7D)
123493929101 alakakakakakakakaka
Answer:
The dialation is of 2
Step-by-step explanation:
QR = 3 units
QS = 2 units
RS = 2 units
Q'R' = 6 units
Q'S' = 4 units
R'S' = 4 units
So as you can see, this triangle has doubled it's size, since it has been multiplied by 2.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Step-by-step explanation: In geometry, a vertex is where two rays share a common endpoint or where they interest each other.
The rays are called the sides of the angle and
common endpoint is called the vertex.
The vertex is very important when naming angles because
the vertex is always at the center when naming the angle.
Below is an example of two rays that share a
common endpoint which is called the vertex.