What is Turtle divided by Kitten? YALL I NEED HELP ASAP ON THIS!!!!!!1
1 answer:
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Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.
G = number of girls taking the martial arts classes
and
B = number of boys taking the martial arts classes
We know that for every girl, there are 3 boys. Therefore, the proportion of girls to boys is:
= 
When you simplify this ratio by cross-multiplying you get:
3G = B
When you think about this, it makes sense because you know that there are 3 times as many boys as there are girls. Therefore you would need to multiply the number of girls by 3 to equal the number of boys in the class.
We know that there are 236 total people in the class, Therefore we know that:
G + B = 236
You can replace the B in the equation above with your simplified ratio to solve, since both contain the variable B:
G + B = 236
is the same as
G + 3G = 236 ->
4G = 236 ->
G = 59
So there are 59 girls in the class, but you need to figure out the number of boys, not girls. Therefore, subtract 59 from 236 to get to the final answer:
G + B = 236
59 + B = 236
59 + B - 59 = 236 - 59
B = 177
and
B = number of boys taking the martial arts classes
We know that for every girl, there are 3 boys. Therefore, the proportion of girls to boys is:
When you simplify this ratio by cross-multiplying you get:
3G = B
When you think about this, it makes sense because you know that there are 3 times as many boys as there are girls. Therefore you would need to multiply the number of girls by 3 to equal the number of boys in the class.
We know that there are 236 total people in the class, Therefore we know that:
G + B = 236
You can replace the B in the equation above with your simplified ratio to solve, since both contain the variable B:
G + B = 236
is the same as
G + 3G = 236 ->
4G = 236 ->
G = 59
So there are 59 girls in the class, but you need to figure out the number of boys, not girls. Therefore, subtract 59 from 236 to get to the final answer:
G + B = 236
59 + B = 236
59 + B - 59 = 236 - 59
B = 177