Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
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Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.
Answer:
0.56 milligrams
Step-by-step explanation:
Put 6 where t is and do the arithmetic.
M(6) = 50·e^(-0.75·6) = 50·e^-4.5 ≈ 0.56 . . . . milligrams
Answer:
Where is the triangle?
you might have to add a picture or a worded problem
Step-by-step explanation:
Answer:
60 miles
Step-by-step explanation:
If it takes 15 hours to travel 900 miles then it gives you the fraction 15/900 where the numerator(top number) is 15 and denominator(bottom number) is 900.
Then to simplify it: since 15 is a common factor of itself(15) and 900, 15/15 = 1(1 hour) and 900/15 = 60(60 miles).
Answer:
You could answer this two ways.
Step-by-step explanation:
Method 1: Set up proportion
x/40=55/100
Cross-multiply and you will get..
2200=100x
x=22
Method 2: Use decimals
As we saw in the first method, 55 percent is equal to 55/100. 55/100 is equal to 0.55.
You can multiply 0.55 and 40 to get the answer as well.
0.55 times 40 is 22.
Hope this explanation helped! ☺️
