3 significant figures. 3.65
Answer/Step-by-step explanation:
1. B = 180 - (90 + 58) (sum of triangles)
B = 32°
Let's find a and b using trigonometric ratios:
Reference angle = 58°
Opposite = a = ?
Hypotenuse = c = 27
Adjacent = b = ?
✔️To find a, apply SOH:
Sin 58 = Opp/Hyp
Sin 58 = a/27
a = 27*Sin 58
a = 22.8972986 ≈ 22.9 (nearest tenth)
✔️To find b, apply CAH:
Cos 58 = Adj/Hyp
Cos 58 = b/27
b = 27*Cos58
b = 14.3 (nearest tenth)
2. B = 180 - (90 + 63) (sum of triangles)
B = 27°
Let's find a and b using trigonometric ratios:
Reference angle = 63°
Opposite = a = 11
Hypotenuse = c = ?
Adjacent = b = ?
✔️To find b, apply TOA:
Tan 63 = Opp/Adj
Tan 63 = 11/b
b = 11/Tan 63
b = 5.6 (nearest tenth)
✔️To find c, apply SOH:
Sin 63 = Opp/Hyp
Sin 63 = 11/c
c = 11/Sin 63
c = 12.3 (nearest tenth)
Complete question is;
Henri conducts an experiment to determine who likes peanut butter more: boys or girls. He has 25 girls and 25 boys taste some peanut butter and then rate it on a scale of 1 - 10 with 1 being cannot stand and 10 being tastes delicious. He finds that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5. Which statement is true?
A) On average, girls like peanut butter more than boys.
B) The person who rated peanut butter the worst was a boy.
Reactivate
C) Girls varied more in how they liked peanut butter than the boys did.
D) There is not enough information to know if any of the above are true
Answer:
Option C) Girls varied more in how they liked peanut butter than the boys did.
Step-by-step explanation:
From the options the most appropriate will be option C which says: Girls varied more in how they liked peanut butter than the boys did..
This is because in the experiment, henri found out that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5.
The range of the girls responses are far higher than that of the boys.
So it means their ratings were more varied and not within similar ratings scale.
Answer:
x = 18 and y = 11
Step-by-step explanation:
The angles 6x - 16 and 92 are vertical angles and congruent, thus
6x - 16 = 92 ( add 16 to both sides )
6x = 108 ( divide both sides by 6 )
x = 18
Angles 8y and 92 form a straight angle and are supplementary, thus
8y + 92 = 180 ( subtract 92 from both sides )
8y = 88 ( divide both sides by 8 )
y = 11
False true true false true false