You can solve for sides of a triangle using the following equation.
A = arccos (b^2 + c^2 - a^2/2bc)
And likewise for other variables by moving the letters.
Ultimately, in this problem you get the following angle measures:
15.87
23.97
140.16
Answer:
a) 952
b) 136
Step-by-step explanation:
<u>Ratio of b:g = 3:4, based on this we have:</u>
- Number of boys = 3x
- Number of girls = 4x
- Total number of pupils = 3x+4x = 7x
<u>Number of spectacle wearers:</u>
- 1/3*3x + 3/8*4x = x + 3/2x = 2.5x
<u>Number of those not wearing spectacles:</u>
<u>And this number equals to 612, then we can find the value of x:</u>
- 4.5 x = 612
- x= 612/4.5
- x= 136
a) T<u>otal number of pupils:</u>
b)<u> The difference in the number of boys and girls:</u>
Answer:
2x(3+1)
Step-by-step explanation:
You can solve for x and y in terms of z, then let z take on the value of the parameter.
Subtracting the first equation from the second, you get
... x_2 +x_3 = 1
Subtracting that from the first equation gives you
... x_1 +2x_3 = 3
Let x_3 = t. Then your parametric equations are ...
Answer:
Step-by-step explanation:
Since the scores of the math test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = math test scores.
µ = mean score
σ = standard deviation
From the information given,
µ = 76
σ = 5
The probability that a student scored below 65 is expressed as
P(x < 65)
For x = 65
z = (65 - 76)/5 = - 2.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.014
The percentage of students that scored below 65 is
0.014 × 100 = 1.4%
