Answer:
if you mulitply (19*19*27*10*10) you get:
974700
Answer:
If:
(1)
And we have to rewrite the following expresion in terms of :
(2)
Firstly we have to rearrange the right side of equation (2) in terms of , factorizing by the common factor:
Then, we can substitute by :
And set it equal to zero:
>>>>This is the resulting equation
Now, each term of an algebraic expresion (like the equation above) is composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).
In this case, the variable is and the number that multiplies the variable (the coefficient) is , whereas the constant (which is the term with no variable) is
Let x= measure of angle 1
Let y= measure of angle 2
This is solving a system of equations
3x=30+ 5y which can also be written
3x-5y=30, and
2x+2y=180
There are a few ways to solve this, like solving for x in one of the equations and plugging it in for x in the other equation, but here is another way:
2(3x-5y)=2*30
3(2x+2y)= 3*180
6x-10y=60
6x+6y=540, and now subtract to get rid of x
0-16y=-480
Y=30
Plug it back in to either equation and you get x=60
Recall the following formula:
Given a triangle with side lengths a, b, and c. Let the measure of the angle between sides of length a and c be B.
Then, the area of the triangle is given by :
.
In our example we have: Area=10 square cm, a=8 cm, c=5 cm, and we want to find the measure of the angle between the 2 sides a and c.
Substituting in the formula we have:
Thus,
, which means
.
is the sine of
, but also
.
Answer: both 30, and 150 degrees are possible
His investment will reach 14,100 after 47 quarters or 11 years and 9 months