Answer:
John was 17 miles away from where he started.
Step-by-step explanation:
The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.
Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words,
.
So to solve this, work backwards:
![8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17](https://tex.z-dn.net/?f=8%5E%7B2%7D%2B15%5E%7B2%7D%20%3Dc%5E%7B2%7D%5C%5C64%20%2B%20225%20%3D%20c%5E%7B2%7D%5C%5C289%20%3D%20c%5E%7B2%7D%5C%5Cc%20%3D%20%5Csqrt%7B289%7D%5C%5C%20c%20%3D%2017)
Answer:
12
Step-by-step explanation:
The proportion is equal to ![\frac{x}{10}=\frac{42}{35}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B10%7D%3D%5Cfrac%7B42%7D%7B35%7D)
We can simplify the right side by dividing by 7/7 to get the right side equal to 6/5. Now we can cross-multiply to get
![60=5x](https://tex.z-dn.net/?f=60%3D5x)
Dividing both sides by 5, we have the answer as
![x=12](https://tex.z-dn.net/?f=x%3D12)
Answer:
You can prove them to be congruent.
Step-by-step explanation:
You would use the SSS Postulate. This means Side Side Side.in the figure shown you can see sides AB and BC have one line crossing them making them equal. Same with side AD and CD. With side BD they are congruent because they are equal in size and share both triangles.
Hope this helps.
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x=1.4
y=-3.6
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:)
Answer:
B)
4.5 cm
Step-by-step explanation:
The formula for arc length when our central angle is in degrees =
2πr(θ/360)
θ = 86°
Diameter = 6cm Radius = Diameter /2
Radius = 6cm/2 = 3cm
Hence,
Intercepted arc length = 2 × π × 3 (86/360)
= 2 × π × 3 × 0.2388888889
= 4.5029494701 cm
Approximately = 4.5 cm
Option B is the correct answer