Answer:
4) 16√3 in²
5) 63 cm²
Step-by-step explanation:
The formula to use in these cases is ...
A = (1/2)ab·sin(θ)
where a, b are the side lengths and θ is the angle between them.
It helps to know the trig functions of the "special" angles used here.
sin(120°) = sin(60°) = (√3)/2
cos(60°) = 1/2
sin(135°) = cos(45°) = (√2)/2
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4) The external angle at the base is the supplement of 120°, so is 60°. Then the length of the missing segment between the end of the base and the right angle at h is ...
x = (8 in)cos(60°) = (8 in)(1/2) = 4 in
So, the bottom edge of the triangle is 12 in - 4 in = 8 in.
The area is ...
A = (1/2)(8 in)(8 in)sin(120°) = (1/2)64(√3)/2 in² = 16√3 in²
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5) As in the previous problem, the difference between the given horizontal dimension and the base of the triangle is ...
x = (18 cm)cos(180°-135°) = 18(√2)/2 cm = 9√2 cm
Then the base of the triangle is ...
16√2 cm -9√2 cm = 7√2 cm
The area is then ...
A = (1/2)(18 cm)(7√2 cm)(√2)/2 = 63 cm²
The product is 960 because 0x6=0,6×6=36 so 60 times 6 is 360 thenn you go to the bottom & bring down one zero under your first zero ,multiply 1 times the zero which equals 0 ofc & 6×1=6 so it'll be 360 + 600= 960
Hey there! The answer to your question is simple. First off, it does not ask for oxygen atoms, so that is just there to mess with you. It says carbon, to hydrogen. That means put the number of carbon, 2, before the number of hydrogen, 4. So, The answer is A - 2:4.
Answer:
We must solve 3/5 x 3/5.
3/5 x 3/5 = 0.36
The units we'll use is because units are the unt we're given, and it is squared because it is the area of a shape.
Your final answer is 0.36
