Answer:
Step-by-step explanation:
The diagram illustrating the scenario is shown in the attached photo.
We would determine angle ACB by applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Taking angle ACB as the reference angle,
Tan C = 40/30 = 1.33
Angle ACB = tan^-1(1.33) = 53.1°
The bearing is calculated with respect to the northern direction. Therefore, the bearing of B from C is
180 - 53.1 = 126.9°
Select EACH correct answer.
Answer: x = {-3, -1, 1, 7}
Step-by-step explanation:
f(x) = x⁴ - 4x³ - 22x² + 4x + 21
possible roots are: +/- 1, 3, 7, 21
Let's try x = 1
1 | 1 -4 -22 4 21
| ↓ 1 -3 -25 -21
1 -3 -25 -21 0 remainder is 0 so (x - 1) is a factor
(x - 1)(x³ - 3x² - 25x - 21)
Next, let's try x = -1
-1 | 1 -3 -25 -21
| ↓ -1 4 21
1 -4 -21 0 remainder is 0 so (x + 1) is a factor
(x - 1)(x + 1)(x² - 4x - 21)
Then, factor the third polynomial
(x - 1)(x + 1)(x + 3)(x - 7)
Now, set each factor equal to zero and solve each one.
(x - 1) = 0 ⇒ x = 1
(x + 1) = 0 ⇒ x = -1
(x + 3) = 0 ⇒ x = -3
(x - 7) = 0 ⇒ x = 7
Answer:
-3, -1, 1, 7
Step-by-step explanation:
Evaluate the function at each x value in the choices. If the polynomial evaluates to zero, then that x value is a solution.
f(-3) = (-3)^4 - 4(-3)^3 - 22(-3)^2 + 4(-3) + 21 = 0
x = -3 is a solution
f(-1) = (-1)^4 - 4(-1)^3 - 22(-1)^2 + 4(-1) + 21 = 0
x = -1 is a solution
f(0) = (0)^4 - 4(0)^3 - 22(0)^2 + 4(0) + 21 = 21
x = 0 is not a solution
f(1) = (1)^4 - 4(1)^3 - 22(1)^2 + 4(1) + 21 = 0
x = 1 is a solution
f(3) = (3)^4 - 4(3)^3 - 22(3)^2 + 4(3) + 21 = -192
x = 3 is not a solution
f(7) = (7)^4 - 4(7)^3 - 22(7)^2 + 4(7) + 21 = 0
x = 7 is a solution
answer: it will take 11 days
A. 15
B. 90
C. 20
D. 45
An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, 45 dogs are there . 3/2 = x/30 , x= 30*3/2 =45
Answer:
○ C. The lines are perpendicular.
Step-by-step explanation:
In order for equations to be perpendicular,their rate of changes [slopes] must be OPPOSITEMULTIPLICATIVEINVERSES, which in this case is so:
− to +}
> OPPOSITE
+ to −}
MULTIPLICATIVE INVERSE [RECIPROCAL]
I am joyous to assist you at any time.
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