We are given a right triangle and we are asked to determine the hypotenuse given the measure of its sides. To do that we will use the Pythagorean theorem:
Now, we solve the square:
Now, we add the values:
Now, we take the square root to both sides:
![h=\sqrt[]{500km^2}](https://tex.z-dn.net/?f=h%3D%5Csqrt%5B%5D%7B500km%5E2%7D)
Solving the operations:
Therefore, the length of the hypotenuse is 22.361 kilometers.
80% of 80 is 64. Hope this helps:)
Answer:
-11x +2
Step-by-step explanation:
−(9x + 8) − 2(x − 5)=
-9x -8 -2x +10 =
-11x +2
You can use the Law of Sines for this problem, but what makes it tough at first glance is that they put a step in before you can use it directly. That first step is to get m∠C. When solving a triangle, always get the third angle if you know the other two so that you can use the Law of Sines (or Law of Cosines) more directly.
The sum of the angles of any triangles is 180°. We know the measures of the two other angles. So we subtract them from 180° to find that third angle.
180° - 76° - 66° = 38°
Now we can use the proportion from the picture. Angle B measures 76°, side b is our unknown, Angle C measures 38°, and side c measures 3 units.
sin 76° sin 38°
----------- = -----------
b 3
Cross multiply to find b (the side). We carry out five places in these calculations to get more accuracy.
3 * sin 76° = b * sin 38°
b = 3 * sin 76° 3 * 0.56611 1.69832
--------------- = --------------- = ---------------- = 5.73044
sin 38° 0.29636 0.29636
To the nearest tenth, b - 5.7 units.
Answer:
Since the fraction of this is very obviously 24/30, here's how you can get a decimal out of that:
First, you simplify that fraction.
24/30 = 4/5, since 5x6 is 30 and 6x4 is 24
Now, it's pretty easy to convert 4/5 into a decimal.
This is how I like to do it. You re-convert the fraction one step higher, so it's 8/10, and you just turn it into 0.8, since it's all out of 10.
I hope I helped, and I'd appreciate a "Brainliest"! ☺
