Answer:
‹A = 141°
‹B = 28°
‹C = 11°
*These angles are rounded to the nearest whole*
Step-by-step explanation:
Because you are only given sides you can find an individual angle measures with the inverse law of cosines.
Remember the side opposite of the angle corresponds to that angle.
a² = b² + c² - 2bc cos(A) →
A = cos⁻¹ (a² - b² - c² / -2bc)
b² = a² + c² - 2ac cos(B) →
B = cos⁻¹ (b² - a² - c² / -2ac)
c² = a² + b² - 2ab cos(C) →
C = cos⁻¹ (c² - a² - b² / -2ab)
Step 3 is wrong.
It should be 4/7 / 5/8
4/7 x 8/5
32/ 35
We first determine the z-scores for the given x-values of 64 and 96.
For x = 64: z = (64 - 80) / 8 = -2
For x = 96: z = (96 - 80) / 8 = 2
Therefore we find the probability that -2 < z < 2, which is around 0.95. Therefore, out of 100 students, approximately 100(0.95) = 95 students will weigh between 64 and 96 pounds.
Answer:
y = 4x + 5.5
Step-by-step explanation:
We put 2y in the y spot, obviously
2y = mx + b
Then we put 8x in the x spot
2y = 8x + b
Then we put 11 in the b spot
2y = 8x + 11
Then, to simplify, we divided by equation by two (it still gives the same results)
y = 4x + 5.5