The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given that a = 8.6 in, b = 13.9 in. and c = 16.5 in. Using cosine rule:
c² = a² + b² - 2abcosC
16.5² = 8.6² + 13.9² - 2(8.6)(13.9) * cosC
C = 91.2°
Also:
a² = b² + c² - 2bccosA
8.6² = 16.5² + 13.9² - 2(16.5)(13.9) * cosA
A = 31.4°
A + B + C = 180° (angles in a triangle)
31.4 + B + 91.2 = 180
B = 57.4°
The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°
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Answer:
36 people
Step-by-step explanation:
The expected value E(X) = mean of sample = np
Where, p = population proportion, p = 9% = 0.09
n = sample size, = 400
The mean of the number of people with genetic mutation, E(X) = np = (400 * 0.09) = 36
36 people
Answer:
n=30
Step-by-step explanation:
4 15
------ = --------
8 n
using cross products
4n = 8*15
4n = 120
divide by 4
4n/4 =120/4
n = 30
Answer: b= 22
you plug in a point from your table,(chose the first point) and it should be 46=17(4)-b. you solve for b and you should get your y-intercept as 22.
You can write the equation using conventional symbols as
3x^2 - 2x - 5 = 0
You can recognize that the middle coefficient is equal to the sum of the other two, so those two coefficients can be used to factor the equation.
(1/3)(3x +3)(3x -5) = 0 . . . . . put the coefficients in the form (1/a)(ax + ...)(ax + ...) (x+1)(3x-5) = 0 . . . . . simplify
The solutions are the values of x that make one or the other of the factors equal to zero.
x = -1
x = 5/3
