Answer: X = 44.4 degrees
Step-by-step explanation: The figure given is a right angled triangle with two sides given as well as one angle unknown.
Angle X, which is the unknown, is the reference angle in this question. So we have an opposite which is the side facing the reference angle (line 7 units) and we have an hypotenuse which is the side facing the right angle (line 10). Having an opposite and an hypotenuse, we can use the trigonometric ratio of sine.
SinX = opposite/hypotenuse
SinX = 7/10
SinX = 0.7000
Looking up a table of values or checking the calculator, 0.7000 under sine of angles gives 44.4270
Therefore angle X is approximately 44.4 degrees (approximated to the nearest tenth)
Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number. If a polynomial p(x) is divided by x - a then the remainder is p(a). Hence by the remainder theorem, 0 is the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.
Answer:
Step-by-step explanation
simplify step-by-step.
2(x+7)−(−18+
4
5
)
Distribute the Negative Sign:
=2(x+7)+−1(−18+
4
5
)
=2(x+7)+(−1)(−18)+−1(
4
5
)
=2(x+7)+18+
−4
5
Distribute:
=(2)(x)+(2)(7)+18+
−4
5
=2x+14+18+
−4
5
Combine Like Terms:
=2x+14+18+
−4
5
=(2x)+(14+18+
−4
5
)
=2x+ 
Answer:
Simplifying
10x + -5(3x + -1) = 15
Reorder the terms:
10x + -5(-1 + 3x) = 15
10x + (-1 * -5 + 3x * -5) = 15
10x + (5 + -15x) = 15
Reorder the terms:
5 + 10x + -15x = 15
Combine like terms: 10x + -15x = -5x
5 + -5x = 15
Solving
5 + -5x = 15
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + -5x = 15 + -5
Combine like terms: 5 + -5 = 0
0 + -5x = 15 + -5
-5x = 15 + -5
Combine like terms: 15 + -5 = 10
-5x = 10
Divide each side by '-5'.
x = -2
Simplifying
x = -2
Step-by-step explanation:
