Jean add 35 + 9. How can she solve using only equations to model her thinking?
1 answer:
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Answer:
see explanation
Step-by-step explanation:
Using the Sine rule in all 3 questions
(1)
=
, substitute values , firstly calculating ∠ B
[ ∠ B = 180° - (78 + 49)° = 180° - 127° = 53° ]
=
( cross- multiply )
a sin53° = 18 sin78° ( divide both sides by sin53° )
a = ≈ 22.0 ( to the nearest tenth )
(3)
=
, substitute values
=
( cross- multiply )
45 sinC = 35 sin134° ( divide both sides by 35 )
sinC = , then
∠ C = (
) ≈ 34.0° ( to the nearest tenth )
(5)
Calculate the measure of ∠ B
∠ B = 180° - (38 + 92)° = 180° - 130° = 50°
=
, substitute values
=
( cross- multiply )
BC sin50° = 10 sin38° ( divide both sides by sin50° )
BC = ≈ 8.0 ( to the nearest tenth )
Answer:
a. 0.1587
b. 0.8849
c. 0.1814
Step-by-step explanation:
a. Given that
-The probability a randomly selected score is greater than 30.4 is calculated as:
Hence, the probability of a score greater than 30.4 is 0.1587
b. Given that
The probability a randomly selected score is less than 32.8 is calculated as:
Hence, the probability that a randomly selected score is less than 32.8 is 0.8849
c. The probability that a score is between 25.6 and 32.8 is calculated as follows:
Hence, the probability is 0.1814