Answer:
Step-by-step explanation:
f(x) = x^3 - 3x^2 - 28x + 60
x(x^2-3x-28)+60
Factor the inside of the parenthesis
Multiples of 28: (1X28),(2X14),(4X7). 7-4=3, 7 & 4 is the correct multiple.
x(x-7)(x+3)+60
Roots: 0,7,-3,6
Also you can plug your function into Desmos and see where it crosses the x-axis.
Answer:
The second choice is correct
Step-by-step explanation:
Here, we want to get the correct statement
As can be seen, while 2 is the angle at the circumference, 1 is the angle at the center
Mathematically, we know that angle at the center is two times the angle at the circumference
Thus,
m1 = 1/2 (m2)
or m2 = 2 * m1
Answer:
The computation of the angles show that the value of sin x and cos y will be 4/5 and 3/5 respectively.
How to calculate the angles?
From the information, we've to compute the length of the hypothenuse using Pythagoras theorem.
Therefore, 4² + 3² = hypothenuse²
hypothenuse² = 16 + 9
hypothenuse² = 25
hypothenuse = ✓25.
hypothenuse = 5
Therefore, sin x = opposite/hypothenuse = 4/5
cos y = adjacent/hypothenuse = 3/5
In conclusion, the values are 4/5 and 3/5.
Step-by-step explanation:
The tangent of an angle is the opposite side divided by the adjacent side of the triangle, relative to the angle. By tan theta = 3, it means that, the adjacent side is thrice as long as the opposite side.
3a = o
Then, using Pythagorean's theorem:
25² = a² + o²
Substituting o,
25² = a² + (3a)²
25² = a² + 9a²
25² = 10a²
a = 7.9 cm
Then, 3(7.9) = o = 23.7 cm
So, the opposite side is 23.7 cm and the adjacent side is 7.9 cm.
Step-by-step explanation:
1 hour = 60 minutes
40 minutes out of an hour can be written as: 40/60
Fraction = 40/60
= (2 × 30) / (3 × 20)
Canceling out common factors of numerator and denominator, we get 2/3
Therefore, 40 minutes is 2/3 of an hour.
