Step-by-step explanation:
first of all, as the sum of all angles in a triangle is always 180°, the missing angle B is
B = 180 - 89 - 30 = 61°
the law of sine is
a/sin(A) = b/sin(B) = c/sin(C)
where the sides are always opposite of the associated angles.
14/sin(61) = AB/sin(30) = BC/sin(89)
BC = 14×sin(89)/sin(61) = 16.00451901...
so, 16 is the correct answer.
The simplest form of the given expression is 5x^3-5x^2.
We have given that
We have to determine the simplest form of the given expression.
<h3>
What is the distributive property?</h3>
The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.
Use the distributive property we get,
Add like terms we get,
Therefore we get,
Therefore the simplest form of the given expression is 5x^3-5x^2.
To learn more about the expression visit:
brainly.com/question/723406
#SPJ1
Answer:
x > -7
Step-by-step explanation:
Isolate the variable, x. Treat the < sign like an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction
First, subtract 15 from both sides:
-8x + 15 (-15) < 71 (-15)
-8x < 71 - 15
-8x < 56
Next, divide -8 from both sides of the equation. Note that when you divide by a negative number, you must flip the sign:
(-8x)/-8 < (56)/-8
x < (56)/-8
x > -7
x > -7 is your answer.
~
Answer:
201
Step-by-step explanation:
107^2+201=11650
