Distance=rate times time
rate=xmiles per hour
time=y hours
total distance=distance1+distance2
distance1=45mph times 2=90mi
distance2=30mph times 3=90mi
total distance=90mi+90mi=180mi
total is 180mi
9514 1404 393
Answer:
135.1 cm
Step-by-step explanation:
The Pythagorean theorem tells you how to find the hypotenuse of a right triangle with legs 120 and 62:
diagonal = √(120² +62²) = √18244 ≈ 135.07
The length of one of the braces is about 135.1 cm.
Answer:
x = 14
y = 14
z= 14
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14
using either Pythagorean Theorem or special right triangle properties for 30-60-90.