The length is 46.10 cm.
Since ∠BCA = 50.5°, ∠ACD = 180-50.5 =129.5°. This means that ∠CAD = 180-(129.5+35.8) = 14.7°. We can now use the law of sines;
sin 14.7/20 = sin 35.8/x
Cross multiply:
x*sin 14.7 = 20*sin 35.8
Divide both sides by sin 14.7:
x = (20*sin 35.8)/(sin 14.7) = 46.10
Answer:
x = 12
Step-by-step explanation:
In a right triangle (a triangle that has a ninety degree angle in it) the the square of the side opposite the right angle is always equal to the sum of the squares of the other two sides. Therefore, we can use the information we are given to figure out the missing side:
![15^2=225\\9^2=81\\225-81=144\\\sqrt[2]{144}=12](https://tex.z-dn.net/?f=15%5E2%3D225%5C%5C9%5E2%3D81%5C%5C225-81%3D144%5C%5C%5Csqrt%5B2%5D%7B144%7D%3D12)
Answer:
59.6 square units
Step-by-step explanation:
The area is given by the formula ...
area = (1/2)ac·sin(B)
Fill in the given numbers and do the arithmetic.
area = (1/2)(11)(11)(sin(100°)) ≈ 59.6 . . . . square units
Answer:
0.42 ÷ 7
Step-by-step explanation:
There is a total of 42 squares out of 100 in the diagram.
It is broken into 7 equal parts.
This can be represented by 0.42 ÷ 7