Find the length of side BC.
1 answer:
Answer:
length of side BC = 11.9cm
The complete question found on brainly (ID: 14303570 ) is stated below:
Find the length of side BC.
Give your answer to 1 decimal place.
∠A = 58°
AC = 14cm
Find attached the diagram of the triangle.
Step-by-step explanation:
From the diagram
∠A = 58°
∠B = 90°
AC = 14cm
The triangle is a right angled triangle
To get the length side of BC, we would
apply trigonometry SOHCAHTOA.
In this question the sine ratio would be appropriate since we know the hypotenuse but we are looking for the opposite side (BC).
Sine ratio: Sin58° = opposite/hypotenuse
Sin58° = BC/AC
Sin58° = BC/14
BC = 14sin58°
BC = 14 × 0.8480
BC = 11.9cm
length of side BC = 11.9cm (1 decimal place)
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Complete question:
Given the sample information below, what test statistic should be used to determine whether the standard deviations are equal for two populations, prior to performing a hypothesis test for the equality of the population means?
Sample 1: n=30; x'=45; s=3;
Sample 2: n=20; x'=32; s=1.9
a. F = 2.49, with numerator degrees of freedom = 29 and denominator degrees of freedom = 19
b. F = 1.58, with numerator degrees of freedom = 19 and denominator degrees of freedom = 29
c. F = 0.40, with degrees of freedom = 19
d. t = 18.75, with degrees of freedom = 19
Answer:
a) F = 2.49, with numerator degrees of freedom = 29 and denominator degrees of freedom = 19
Step-by-step explanation:
To find the test statistics, use the formula below:
Where
s1 = 3
s2 = 1.9
n1 = 30
n2 = 20
Substitute figures:
Correct option is option a.
F = 2.49, with numerator degrees of freedom = 29 and denominator degrees of freedom = 19