Given that the angle measure 20 and the side opposite to that angle measures 10 cm, suppose this is the height of the triangle, the hypotenuse
Such that
sin theta=opposite/hypotenuse
opposite=a=10 cm
sin 20=10/h
multiplying both sides by h we get
hsin20=10
hence;
h=10/sin20
h=29.24 cm
h=29.2 cm
Answer:
D
Step-by-step explanation:
(4x√5x^2 +2x^2√6)^2
remove the last ^2 by multiplying the parenthesis by each other:
(4x√5x^2 +2x^2√6) * (4x√5x^2 +2x^2√6)
use FOIL & distribute :
4x√5x(4x√5x +2x^2√6) +2x^2√6(4x√5x +2x^2√6)
apply the distributive property once more:
4x^2√5(4x^2√5)+ 4x^2√5(2x^2√6) + (2x^2√6(4x^2√5) +2x^2√6(2x^2√6)
remove parenthesis and combine like terms to get:
104x^4+16x^4√30
answer is D
Answer: The system of equations has NO SOLUTION.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Given the following system of equations:

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

You can identify that:

Apply the same procedure with the second equation. Then:

You can identify that:

The slopes of both lines are equal, therefore the lines are parallel and the system has NO SOLUTION.
First, we are going to find the sum of their age. To do that we are going to add the age of Eli, the age Freda, and the age of <span>Geoff:
</span>

The combined age of Eli, Freda, and Geoff is 40, so the denominator of each ratio will be 40.
Next, we are going to multiply the ratio between the age of the person and their combined age by <span>£800:
For Eli: </span>
For Freda:
For Geoff: 
<span>
We can conclude that
Eli will get </span>
£180,
Freda will get £260, and
Geoff will get <span>
£360.</span>