Question 18 Calculate the mean 12, 2, 9, 12, 10
2 answers:
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Answer:68.3 degrees
Step-by-step explanation:
The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows
c^2 = a^2 + b^2 - 2abCos C
Looking at the triangle,
b = 75 miles
a = 80 miles.
Angle ACB = 180 - 42 = 138 degrees. Therefore
c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138
c^2 = 6400 + 5625 - 12000Cos 138
c^2 = 6400 + 5625 - 12000 × -0.7431
c^2 = 12025 + 8917.2
c = √20942.2 = 144.7
To determine A, we will apply sine rule
a/SinA = b/SinB = c/SinC. Therefore,
80/SinA = 144.7/Sin 138
80Sin 138 = 144.7 SinA
SinA = 53.528/144.7 = 0.3699
A = 21.7 degrees
Therefore, theta = 90 - 21.7
= 68.3 degees
1 basket is between 9 and 10 minutes .
<u>Step-by-step explanation:</u>
Here we have , John kept track of how many baskets were made in a basketball game. After 4 minutes, 5 baskets were made. We need to find How many baskets were made between 9 and 10 minutes . Let's find out:
In order to calculate baskets between 9 min and 10 min we will find baskets at 10 min and at at 9 min , will subtract than !
Baskets at 10 min :
At 4 min we have 5 baskets so , in 10 min
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Baskets at 9 min :
At 4 min we have 5 baskets so , in 9 min
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So , Baskets between 10 & 9 min is , which on rounding off gives 1 . Therefore , 1 basket is between 9 and 10 minutes .
